diff --git "a/data/dm_maths/full_data_2/2132_11255.jsonl" "b/data/dm_maths/full_data_2/2132_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2132_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f = 4.5 + -5. Let s = -7 - -10. Let x = 2 + s. What is the nearest to -0.2 in 1\/3, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -885, -3261, -7127, -12483, -19329, -27665, -37491?\nAnswer: -48807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -16*w + 26. Let a be ((-8)\/w)\/2 + (-376)\/(-12). Find the third derivative of -12*n**2 + 11*n**2 - n**2 - a*n**4 wrt n.\nAnswer: -768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*((-18)\/(-6) - 8))\/1. Solve -o*w + 6 = -11*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(300))*-1*5*1)**2 + 5.\nAnswer: 1000*sqrt(3) + 7605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/((-128)\/(-80))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109447 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4877097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1797.093 rounded to the nearest ten?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/3 + 76*c**3\/3 + 766*c**2\/3 - 9424*c - 92256.\nAnswer: -2*(c - 31)**2*(c + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143.1 - -150. Round j to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + j)*(40 + 1337 + 104 + 284) to h + d*j and give d.\nAnswer: 1765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00480178381 to four decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhheqqqhhdqhqqqh. What is prob of sequence hd?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*c = -382*c + 213 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -120*g - 1362. Let y be z(-16). Solve -567*s = -y*s + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 5*l**2 + 0*l**2)*((3*l + 4*l - 5*l)*(1 - 3 + 4) + 1 - 1 - 7*l)*(40 - 67 + 46)*(2*l - 3*l + 2*l).\nAnswer: 57*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -43. Let p(f) = f + 9. Let g be p(-10). Let y(h) = h**3 - 2*h**2. Let n be y(g). What is the closest to 2 in -0.3, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -2, 823.\nAnswer: -4, -2, 3, 823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -1. Suppose y*t + t = 9. Suppose s = 5 + t. Solve -2*u - 2 = s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 4*b + 4. Calculate n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, d: 2, v: 5, w: 2, a: 1, k: 3}. What is prob of sequence da?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 101535694 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c - 2*c + 0*c - 4*c. Let f(z) be the first derivative of 2*z**3 - 3 - 3*z**3 + 1. What is f(u(o))?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 12*q - 2. Suppose 12*u + 107 = 239. Give a(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14*(-1)\/(-1) - -1. Suppose 4*h + 19 = -9. Let c = h - g. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3560*b - 14. What are the prime factors of r(-2)?\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -656*b**2. Let p(j) = 451*j**2. Calculate p(u(c)).\nAnswer: 194081536*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -5226844?\nAnswer: -5226840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5915\/9 - -677. Suppose -1937*g - 336 = -967*g - 986*g. Which is greater: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -42*(4\/(-12) + -1). Suppose -9*z = -f - 1303. List the prime factors of z.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.439 rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*w**2 - 4*w + 124*w**2 - 10*w to the form q*w + f + k*w**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 293347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 2*f + 1777 - 1838, 5*b - 5*f + 55 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t + 76*t**2 + 116*t**3 - 11 - 11*t**2 - 68*t**2 wrt t?\nAnswer: 696*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 74662944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (4\/(-6) + -2)*-189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*w - 73*w = 86*w + 207 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**2 - p - 2. Calculate k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2634*n + 768*n + 1 - 3 in the form f*n + v and give f.\nAnswer: -1866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3*j**3 - 20*a**3*j**2 + 3304*j**3 wrt a?\nAnswer: 6*a**2*j**3 - 60*a**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*(p\/p**(-4\/7))\/p)))**(-14\/3)\/(p**23)**(3\/14))**46 assuming p is positive.\nAnswer: p**(-11845\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-1686\nAnswer: -1686.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*v + 3 - 3*v**3 + 2*v**4 + 19*v + v**3 + 2*v**2 + 0*v**3 as y*v**4 + g*v**3 + w*v + u*v**2 + o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*3\/(-6))\/((-72)\/8)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -18*l - 1457. Give g(-80).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/3 + 271*u**3 - 4090*u**2\/3 = 0.\nAnswer: -818, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23133\/2804*32\/6\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*4\/30)\/((-15)\/(-150)). Let i be 2 - 1 - (g - (-8 - -2)). Let u be (-94)\/72 + 2\/(-8). Is i smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.039 + -20.961. Let g = 20.5 + k. Let q = -2.6 - -3. Put q, g, -3 in increasing order.\nAnswer: -3, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 7 - 5 + 5)*(-j + 0*j - j).\nAnswer: 4*j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 470*n**2 - 1880*n + 3. Let b be y(4). Factor 8\/9*u**2 - 2\/9*u**b - 2\/9*u**4 + 0 + 8\/9*u.\nAnswer: -2*u*(u - 2)*(u + 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 184\/47, 0.525, 0.5 in ascending order.\nAnswer: 0.5, 0.525, 184\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**21*n*n))\/((n\/(n\/(n\/n**5)))\/n))**(1\/6) assuming n is positive.\nAnswer: n**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98427.75 meters to kilometers.\nAnswer: 98.42775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(1 + sqrt(3) + sqrt(3)).\nAnswer: 20 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 3*g + 1. Suppose 5*p - 11 = q - 4*q, -2*q + 34 = -2*p. Suppose 0 = -k - 3*k + q. What are the prime factors of u(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, p: 1, j: 2, s: 2, m: 9}. What is prob of sequence mj?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -878, -1485, -2118, -2777, -3462, -4173, -4910?\n\"Answer: -13*o**2 - 568*o - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -7*p**3\/6 + 80*p. Let v(a) = 0*a - 12*a + 4*a + 5*a. Determine u(v(m)).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63899811.\nAnswer: 3, 881, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 1 + 4 - 2)*(1480 - 1445 + 1420 + 1173)*(-2*b + 0*b - b) as o*b + s*b**2 + u and give o.\nAnswer: -7884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s - 1. Let v(u) = 16*u - 2. Let i(n) = -2*l(n) + v(n). Let o(a) = a**2 - 1. Let w(k) = 6*k**2 - 7. Let j(q) = -21*o(q) + 3*w(q). What is j(i(p))?\nAnswer: -768*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 46470 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*53\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 25 = -9*h + 3*d, 0 = -4*h + 5*d - 31 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + -2) - -5 - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*w - 201*h - 34475*w + 24 wrt w?\nAnswer: -2*h - 34475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19474, -3, -4, 3, 171, 4.\nAnswer: -19474, -4, -3, 3, 4, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Let c be (1 - (-2)\/2) + j. Solve t + 1 = -v + 8, -c*t + 3*v = 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.53 or 52?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.968 - -5.4253. Let x = 0.0597 + m. What is x rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h**2 + 11*h**4 - 12*h**2 + (0 + 0 + h**3)*(h - 2*h + 0*h) - 5*h**4 + 0*h**4 + 3*h**4 to the form u*h + n*h**4 + p*h**2 + r + a*h**3 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l - 4 = 0, -4*c + 16 = -2*l. Let w(q) = 391*q - 36. Let r(s) = 78*s - 7. Let g(p) = 11*r(p) - 2*w(p). Is g(c) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 408727149 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -15*n + 12. Let g(v) = 2*v + 1. Let s be g(-11). Let u be f(s). Let a = u - 92. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175.02 + -179. Let n = x - 0.02. What is the second smallest value in 1\/3, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000939 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-98)\/28)\/((-100)\/260)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {y: 3, h: 3, s: 3, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, -2\/23, 1\/2, -1\/3, 2\/13 in descending order.\nAnswer: 1\/2, 2\/13, -2\/23, -3\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**4 - d**3 - 1155*d**2 - 6045*d wrt d.\nAnswer: -36*d**2 - 6*d - 2310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -2, 0.4, 1473756?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let a be (-58)\/(-10) - d\/(-15). Suppose -z - a + 18 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 14) to base 2\nAnswer: 1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4611\/2 or 2306?\nAnswer: 2306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5830 and -2006790.\nAnswer: -2000960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (801 - 801 + 384*k)*(-2 + 3 - 2)*(3 - 2 + 1) as a*k + p and give a.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h**(25\/4)\/h))\/(h\/((h\/(h\/(h**(-31)\/h*h)))\/h))*(h**5)**(-3) assuming h is positive.\nAnswer: h**(-201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 3*y**2 + 7*y - 16. Let x be j(5). Which is bigger: x or -1619\/9?\nAnswer: -1619\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 36 = -4*v, 4*v + 151*d = 153*d - 38 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -6*p + 26, 3*p = -p - 3*x - 8. Which is the closest to 45? (a) p (b) -0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 15644830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 + 101. Solve 0*s - 3*s + 6 = 3*r, -3*s - r = -y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-33))\/((-10)\/105).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161738528 a multiple of 1783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13023 (base 5) to base 4.\nAnswer: -33311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132103 is divided by 5426?\nAnswer: 5111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773444052.\nAnswer: 2, 3, 53, 73, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 2*o - 2. Let f be n(3). Let m be ((-16)\/20)\/((-4)\/f). Let g(v) = 6*v - 3. Calculate g(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9276 (base 13) in base 11?\nAnswer: -14201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 9*k - 17. Let t be d(6). Put 4, 5, t in ascending order.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -481, -964, -1447, -1930, -2413?\n\"Answer: -483*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/1230 and -73\/72?\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -29229 less than -29229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g**2 - 3*g**2 + 13*g**2)*(-1 - 4 + 2)*(-5*g**2 - 7*g**2 - 2*g**2)*(6 - 2 - 3).\nAnswer: 1008*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 41.5. Put -5, p, 0.1, -2\/7 in ascending order.\nAnswer: -5, p, -2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = -3*b, -5*s + 26 = -4*b - 14. Let w(j) = j + 2 + 5*j - 7*j - 6. What is w(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785650579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -95. Let i(y) = y**2 + 22*y + 26. Determine i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4110 by -5.\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o + 86. Let u be m(-14). Let v(j) = -16*j - 11. Let p(d) = -3*d - 2. Let r(g) = u*v(g) - 11*p(g). Determine r(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1594 and 17\/16?\nAnswer: 12752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2) - (-1)\/3. Let y = -153\/4 + 38. Let i = -0.74 - -1.24. What is the third smallest value in y, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(6*d - 25*d - d).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 4, 1\/4 in increasing order.\nAnswer: -90, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5028066 and 35?\nAnswer: -175982310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 17575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 18. Let x be 12 - (-1)\/((-2)\/8). Let z = x + -2. Solve z*f - f = u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36666375 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**4\/6 + 5*s**3\/3 + 70*s**2. Give j(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 + 36*s + 31. Calculate y(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 17*x - 7 = 0. Let a(l) = -4*l - 1. Let q(r) = -r. Calculate x*a(h) - 3*q(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -14*n**4 + 66*n**3 - 86*n**2 + 48*n - 8. Let z(j) be the first derivative of -j**4\/4 - 36. Let d(t) = b(t) + 6*z(t). Find l such that d(l) = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -752b (base 16) in base 3?\nAnswer: -1112010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15 - 3*f - 2*f + 5*f - 2*f. Let z be m(0). Calculate the greatest common divisor of z and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (138\/4)\/(162\/108). Let q(y) = 6*y + 26. What is the remainder when q(v) is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26179?\nAnswer: 47, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33469)\/(-4) + ((-99)\/(-36) - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.4, -82, -2, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14446\/45 - -321. Let k = 14\/45 - w. Find p, given that -k*p**2 + 0 - 4\/3*p = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44 + 0*a - 4 + 334*a**4 - 13 - 40 - a wrt a.\nAnswer: 4008*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -124*w**2 - 10*w - 4. Let a(x) = -41*x**2 - 3*x - 1. Let u(y) = 10*a(y) - 3*s(y). Let l be u(-2). What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1568?\nAnswer: -3\/1568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 19*h**2 + 4*h + 25. Let m = 44 - 35. Suppose -m - 181 = -10*f. What is the hundreds digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*r**3 - 3*r**2 - 424*r wrt r?\nAnswer: -138*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23, 5, 6, 750 in increasing order.\nAnswer: -1, 5, 6, 23, 750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 4}. Give prob of sequence dt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 1\/2*z**3 + 5 - 31\/24*z**4 + 0*z - 101\/60*z**6 + 0*z**5 + 25*z**2. What is the second derivative of h(t) wrt t?\nAnswer: -1212*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + o + 3. Let d be c(0). Suppose 30 = -d*y + 4*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -892 - -3?\nAnswer: -88c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13900000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -81*i + 1632. Determine y(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.1 + 45.1. Let z = c + -35.4. Round z to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**6\/1980 - t**5\/165 - t**4\/33 + 16*t**3\/3 - 16. Let o(g) be the third derivative of l(g). Factor o(y).\nAnswer: -2*(y + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/p**(2\/7))\/((p**13\/p)\/(p**(1\/3)\/p)) assuming p is positive.\nAnswer: p**(-125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.259 * -12051.\nAnswer: -3121.209","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 23*k + 95 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 1:25 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) 170 (b) 3\/7 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28653552845 less than 3.3?\nAnswer: 28653552848.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) -3 (c) -1200877\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3858 - 3862 + 7720 - 4*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*w + 4*w - 121, 0 = -4*w - 4*y + 240. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31 - ((2 - 1) + (341 - 325))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 6. Let q(z) = -z - 4. Calculate the lowest common multiple of q(-8) and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -5*l - 12. Sort l, 1, 64 in descending order.\nAnswer: 64, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*a**2*f**3 + 303*a**2*f + 10*a**2 - 9*a - 9 wrt f.\nAnswer: -147*a**2*f**2 + 303*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(3) - ((sqrt(243) - sqrt(27)) + sqrt(3))) + 0 - ((sqrt(243))**2 + sqrt(27))*-6*6.\nAnswer: 100*sqrt(3) + 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-622160)\/(-2513385) - 4\/18?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 36 + 105 + 22*c.\nAnswer: 22*c - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7) + 1)*-2)**2.\nAnswer: 288*sqrt(7) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*o**5 + 70*o + 17*o - 12*o**5 wrt o?\nAnswer: -3140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320860 is divided by 45835?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:33 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 150493?\nAnswer: -902958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -10514548\nAnswer: -52572740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 18\/(10 + -4) - -128?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*u - 430*u = -223780. Solve 1343*l = u*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8170 (base 10) to base 13.\nAnswer: 3946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 64 = 106. Let j = 86 + i. Which is the closest to 0? (a) 31 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 4, l: 2, g: 1}. Give prob of picking 2 b and 1 g.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240629?\nAnswer: 41, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6084 divided by -4316\nAnswer: -117\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*x - 20943, -3*x + 13627 + 28252 = 4*q. What is the remainder when q is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is the hundred millions digit of 4163097132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11653\/8 - -1454. Find the common denominator of m and (-57 + 54 - (-2638)\/(-368)) + (-2)\/(-46).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*f + 805 + 447 + 530 for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4 + sqrt(475) + sqrt(475) + 1 + sqrt(475) + sqrt(475))*6 + -4 + -1 + sqrt(475) + -5)**2.\nAnswer: -7000*sqrt(19) + 297659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/7, 1732, 1 in decreasing order.\nAnswer: 1732, 1, 1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -6*c + 77. Suppose o = c - 1. Find the second derivative of 4*j - o*j**3 + 20*j + 0*j**3 wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 31*l**2 + 29*l - 30. Let h be g(-30). Solve h = 4*x - 4*k + 8, -x = k + 2*k - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185427 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3012\/(-7) + (4\/14 - 0). Let x = t + 166. Is 18 a factor of (260\/25)\/(2 + x\/135)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3378.2 + -3378. Sort -0.1, i, 5, -16\/13.\nAnswer: -16\/13, -0.1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1076*l**2 - 1753*l**2 - 3242*l**2 in the form g*l + q*l**2 + b and give q.\nAnswer: -6071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 923081 > 923075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 206 - 196. Find the third derivative of -11*u**5 + 151*u**2 - 2*u**h - 4*u**4 - 4*u**5 + 2*u**4 + 10*u**4 wrt u.\nAnswer: -1020*u**2 + 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -819 + 815. What is the smallest value in -0.3, f, -0.4, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 626\/(-4) + (-95)\/(-10) + -8. Let x = w + 165. Solve 3*z = z - x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 6*r - r)*(2 - 2 - 2*r) - 22*r**2 - 23*r + 23*r + (-2 + 3 + 0)*(-r**2 + r**2 - r**2) to the form t*r**2 + f*r + a and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-2)\/(-2)*1\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*y - 19 - 26, -3*a + 9 = 3*y. Let g = -1 - -9. Calculate the remainder when a\/(-10) - 2212\/(-70) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 75261151?\nAnswer: -75261155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2244 or -2078?\nAnswer: -2078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(5) + 4*sqrt(405).\nAnswer: -2 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 113034236 and 0.5.\nAnswer: 113034236.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12705 + -4\nAnswer: 12701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 548?\nAnswer: 13\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 11. Suppose 0 = -118*w + 121*w - 6. Calculate the remainder when ((-129)\/(-43))\/(w\/98) is divided by r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l. Suppose -5*g - 25 = 3*h - 6, -5*g - 4 = -2*h. Let x be 29\/3 + g\/3. Solve -2*t - 6 = -3*c, 3*t + x = -l*c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 142*x = 147*x - 6, -17*x = -a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -58, -91, -126, -163?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103812743 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 - 4*n + 134. Let o be q(0). What is the greatest common divisor of o and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.7525504 rounded to 1 dp?\nAnswer: 124.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = -70. Find the common denominator of -2 + (-3)\/r + 0 and -7\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 15) in base 10?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3008, -70, 6.7?\nAnswer: -3008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from qqtbtbrqrtfgtqttq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**27)**(1\/2) assuming a is positive.\nAnswer: a**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**3 + 1. Let w be b(1). Suppose 48 = 2*z + 5*g, -4*z = 3*g - w*g - 72. Suppose -z = 2*r - 91. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 18*l + 14)*(-l - l + l) + (-5*l + 2*l + l)*(-2*l + 2 - 2) - 5*l**2 + l**2 + 3*l**2 + 3*l**2 - 3*l**2 - l**2 + 10 + 20*l**2 - 10.\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b**2 + 2*b. Let a be f(2). Let t = -107 + 105. Let n be (t + (-27)\/(-12))\/((-5)\/(-60)). Solve a = n*g - g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 4*r**3 - 144*r - 150*r + 294*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50098811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -0.25 (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -240440 (base 5) in base 15?\nAnswer: -2965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -8*f**3\/3 + 2*f - 13. Let n(b) = -7*b**2 + 3. Let u(v) = -5*n(v) + 6*y(v). Find the first derivative of u(t) wrt t.\nAnswer: -26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:02 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c + 20 = 4*z, -5*c + 2*z + 144 = 0. What is the highest common divisor of 1582 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181157 or -1992718\/11?\nAnswer: -181157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 w when four letters picked without replacement from {w: 2, a: 10, u: 4, x: 4}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, -2.\nAnswer: -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + a + 1. Let u(d) = d**3 + 6*d**2 + 8*d - 111. Let o(k) = 6*m(k) - u(k). Let x be o(0). Calculate the highest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*n**4 + 1829705*n**3 - 946110865*n wrt n.\nAnswer: -696*n**2 + 10978230*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-16) - 46\/8. Let r(y) be the first derivative of y**3\/3 + 3*y**2\/2 + 3*y - 1. What is the units digit of r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 1371, 4, 0, 0.1.\nAnswer: -125, 0, 0.1, 4, 1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68662135?\nAnswer: 5, 59, 232753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/60 + 13*l**4\/24 - 35*l**3\/6 + 22*l**2. List the prime factors of p(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 + -1c71416?\nAnswer: -1c71448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) -0.0637 (c) -7365\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*y + 7, 3*y = 4*l - y - 4. Let f = -52.4 + 52. Let m = 0.0262 - 0.2262. Which is the nearest to -0.1? (a) f (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - (2 + 1 - ((12 + -1 - -3) + -22))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 17*z - 646 = 0. Let u(r) = 4*r**2 + 3 - 3*r**2 - 4*r**2 + z*r - 31*r. What is u(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(-2 + sqrt(2) + -1)**2 + 4 + sqrt(64)\/sqrt(8)).\nAnswer: -66*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 228*m**4 - 35*m**3 + 31*m**3 - 229*m**4 + 27*m**2 to the form i*m + u*m**4 + l*m**2 + o + q*m**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 13*i - 21*i + 4*i**3 + 3*i + 1 + 3*i**2 + 2. Let f be v(1). Sort f, -1, 2\/21, 0 in ascending order.\nAnswer: -1, 0, 2\/21, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(3*4\/(-12))*-1039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 33 = 5*f, 0 = 23*u - 17*u + 3*f - 33 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 500 + 511. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.317 + -0.953. Let x = g - -0.27. Which is the third smallest value? (a) -2\/31 (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from pzzpzzzpzzzppzdgpd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o + 13. Suppose 0 = -179*c + 33*c + 730. Solve 3*s - c*z + o = -3*z, -z - 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1743 = -8*s + s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 59*k**2 - 81*k + 3. Let n(v) = 2*v**3 + 29*v**2 - 13*v + 17. Let b be n(-15). Is o(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -205 - i**3 + 2*i**2 - 199 + 436 as s*i + v + t*i**2 + x*i**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccfcfccc. What is prob of sequence fc?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24591736?\nAnswer: 2, 13, 179, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33 (b) 51397\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1221 and -0.2?\nAnswer: 0.02442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.220218786 rounded to 4 dps?\nAnswer: -1.2202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-1\/11))\/(l\/l**2)*l\/(l\/l**0)*l\/l**(2\/17))\/(l**(-5\/4)*l**(-4))**(-8\/13) assuming l is positive.\nAnswer: l**(1805\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 79. Solve -1 - r = 5*c - h, c + 2*h + 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**24)\/n**(12\/7))\/((n\/(n**(16\/5)*n)*n)\/n**(-12)) assuming n is positive.\nAnswer: n**(507\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 19. Let l be (2\/2)\/((-3)\/(-42)). Let u = -5.5 - -2.5. Which is the closest to r? (a) u (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/3*(-6)\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -95, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -533, -1027, -1679, -2489?\nAnswer: -3457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/((-4402)\/1054)*(2 + 0).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6*c + 120. What is the greatest common divisor of 75 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by (10 + -2)*(-9)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y - 21. Let j be s(8). Let x = j + -56. Calculate the greatest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f, -3*g + 2*f + 4 + 0 = 0. Let c = 2355 - 2354. Put -4, 10, c, g in ascending order.\nAnswer: -4, c, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 768900796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2395539?\nAnswer: 3, 19, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1009\nAnswer: 3\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214 + 1?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50809*t = 53348*t - 324992 for t.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 46*w**2 + 33*w - 13. Is f(-15) a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*b**3 + 2066*b**2 - 1330*b + 309?\nAnswer: -204*b + 4132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**3 - 35695*j**2 - 35700*j = 0.\nAnswer: -1, 0, 7140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrvrrrr. Give prob of sequence vrrv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from npnnpnnp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 88. Let t = n + 1.3. Which is smaller: t or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4921755, -4921741, -4921727, -4921713?\nAnswer: -4921699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.219? (a) 5894 (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -512.26448 from -8.985.\nAnswer: 503.27948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times -0.051?\nAnswer: 0.0714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s + 14*s + 5*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 6*u + 12. Let z be v(3). Let b be ((-3)\/(-6))\/(z\/(-24)). Let q = b + 4. Solve -5*x + 23 - 3 = q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 31.8?\nAnswer: -445.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 476493032 and 12?\nAnswer: 1429479096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 13) to base 14\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3423, -5484, -7567, -9684, -11847, -14068?\n\"Answer: -2*y**3 + y**2 - 2050*y - 1372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 36. Suppose 2*r = -4*n + 16, -n - a*r + 20 = 4*n. Solve 3*x + 1 = n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*v + 108*v**3 - 4*v**2 + 106*v**3 + 103*v**3 - 307*v**3 - 1 as l + o*v**3 + c*v**2 + f*v and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1653509399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 45484600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by ((-4)\/(-10) - 1309\/(-140))*24\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**5\/4 + 7*l**4\/4 + 39*l**3\/4 + 13*l**2\/4 - 9*l - 5 = 0.\nAnswer: -2, -1, -2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 12 = 3*p, -2*b - 5 + 11 = -4*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1504 + -4511\/3. Let v(x) be the second derivative of 0 - 7\/6*x**3 - f*x**4 - 9*x + 0*x**2. Find the second derivative of v(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 484, 766, 1068, 1396?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/30 - -1\/6. Which is the closest to l? (a) -4\/3 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w + 1616 + 1296. Is 16 a factor of (36\/(-7))\/(1\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/12 + 7*o**4\/24 - 5*o**3\/6 + 6*o**2 + 7. Let c(q) = 6*q**2 + 8*q - 6. Give 4*c(m) - 5*p(m).\nAnswer: -m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 18*l - 5*l**2 - 18*l in the form x*l**2 + t + k*l and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sasaaaaaaaaaaassaa. What is prob of picking 3 a and 1 s?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211 - 413 + 202 + 2091*d to t*d + h and give t.\nAnswer: 2091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 19*j + 7. Determine h(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 - n + 10. Let r(u) = -11*u**2 - 3*u + 21. Determine -7*m(o) + 3*r(o).\nAnswer: 2*o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 63*k - 3840. Calculate l(61).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3928416 divided by -78.\nAnswer: -654736\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, and 1 k when three letters picked without replacement from {d: 1, v: 4, o: 3, x: 1, j: 1, k: 6}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5aa (base 11) to base 14\nAnswer: 39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 70*y + 65.\nAnswer: 5*(y + 1)*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + -1)\/(8 + (3\/(-14) - 626\/84)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:31 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*l**4 - 1547*l**3 + l**2 - 18803926*l.\nAnswer: -1824*l**2 - 9282*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/8645 and -59\/35?\nAnswer: 8645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*o + 61*o = 180*o + 128 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:57 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 541.09 - 539. Let h = w + 2.91. What is the second biggest value in h, -1, 1.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303739840 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96940301, 193880590, 290820881, 387761174, 484701469, 581641766?\n\"Answer: l**2 + 96940286*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 36*p**2 + 92*p + 225. Calculate n(33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3169 - 0.3168997338. Round a to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -306 - -289. Let o(q) = q**3 + 16*q**2 - 14*q + 65. Let n be o(y). What is the highest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:35 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 185 - 336866?\nAnswer: -336681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + (sqrt(120)*-2 + sqrt(120) - sqrt(120))\/sqrt(12))\/sqrt(2).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/15))\/(b**(-37)*b)*((b*b*b\/b**7*b)\/b*b)\/b**(-1\/11) assuming b is positive.\nAnswer: b**(5647\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*m = 105*l - 1881, 5*m - 6*m = -4*l + 4*m + 57 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2. Let y(s) = 1619*s. Give y(g(m)).\nAnswer: -8095*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**5\/20 + 2*v**4\/3 - 11*v**3\/3 + 13*v**2\/2 + 14*v. Is n(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -4*i + 1, i + 2*i = 3*g - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -3*a**5\/20 - 5*a**3\/6 + 3*a. What is the second derivative of f(w) wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.2*0.319993.\nAnswer: -1.3439706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*12\/(-56)*54. Suppose 17*r + v = 880. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, b: 3, h: 5, k: 2}. Give prob of sequence kb.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -71. Solve -4*h + 5*h + 3 = -n, -3*n = -2*h + l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 7:06 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((2 + -1)\/1)\/3. Let m = 0.28 + 1.72. Put m, 4\/7, x in descending order.\nAnswer: m, 4\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287249 is divided by 286574.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 - 1. Let j be p(-1). Let b be -4 - (-3 + 6\/j). Determine v, given that -1\/4*v**3 + 0 - b*v**4 + 1\/2*v**2 + 1\/4*v = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -325987 and -326014 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 343248*v - 4806060.\nAnswer: 3*(v - 114430)*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/2)\/(1\/(-205)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278 + 277.9. Which is the nearest to n? (a) 1 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39039\/2366*(-3 + (-38)\/(-12))\/(5\/(-140))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-481)\/182 - 4\/(-28) - (-2 + -5)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*t - 6 = 0, -t = 2*k + 4 + 2. Let g be (-10)\/k*(-3)\/(-3). Let l be 9 - ((-6)\/8)\/((-9)\/60). Solve 5 + 3 = -l*q + 4*v, -25 = -g*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 14 - 5 - 5 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -543 or -544?\nAnswer: -543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123124 (base 8) in base 2?\nAnswer: 1010011001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**27)**(-4) assuming r is positive.\nAnswer: r**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.52954 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24054 + -306?\nAnswer: 23748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24629 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83738, -4, -0.5, 3, -1\/7.\nAnswer: -83738, -4, -0.5, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 24. Let f be z(9). Let s be 9\/f - (-7)\/2. Suppose -2*m = 5*h - 2, s*h + m = 3*h. Calculate the greatest common divisor of h and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13788 - 13788 - 674*d + (1 + 0 - 5)*(-1 + 1 - d)*(-1 + 0 + 0) as g*d + h and give g.\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086\/(-39) + (-220 - -248)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/7)\/((-30)\/105)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -15, 5\/2, -4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nslx when four letters picked without replacement from {c: 2, l: 3, n: 4, s: 6, x: 2}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46459717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or 0.08?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131524.\nAnswer: 2, 282881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*-2*(-12)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p - 17431 + 17611 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/24 and -13\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(5) + -4)*6 - (-2 + 0 + sqrt(5))*-3) + -5)**2.\nAnswer: -1050*sqrt(5) + 2350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -9\/2 (b) 14.5 (c) 0.071 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70599990 and 98839986?\nAnswer: 494199930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 133 - 373 = 0. Let h be ((-25)\/10)\/(-5)*t. Let a be h\/(-78) + (-74)\/(-26). Put -6, 0.4, -4\/5, a in decreasing order.\nAnswer: a, 0.4, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 2226924?\nAnswer: 2226924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837729079?\nAnswer: 11, 76157189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i + 213. Calculate h(23).\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/450 + s**5\/25 + 4*s**4\/15 - 95*s**3\/6 - 75*s**2. Let d(i) be the first derivative of u(i). What is z in d(z) = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(24)\/sqrt(8)))**2*4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4017.693 + 4021.3102682. Let w = -0.2172638 + r. Let a = -3.4 + w. What is a rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60486c5 + 2?\nAnswer: -60486c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12059704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/2, 5.7382, -2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-3) - 1) + 3. Calculate the remainder when 37 is divided by 2\/(3\/39*t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**7\/840 - w**5\/40 + w**4\/12 + 5*w**3\/3 - 22. Let v(b) be the third derivative of p(b). Factor v(m).\nAnswer: (m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31803 + -30928. Calculate the highest common divisor of j and 1365.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**2 + 86*b - 859. Is f(68) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 3*y**2 + 3*y**2 + (-2964 + 3835 - 9556)*(2*y - 1 + 1)*(-2*y + 0 + 0).\nAnswer: 34742*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 26. Let t = q + -6. Suppose -7*v + 5 = -2*v, -55 = -5*a + t*v. Solve 3*u - a = -2*c + 5*c, 4*c = -3*u + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y. What is the units digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -697996000 to the nearest 1000000.\nAnswer: -698000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 > 465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*k - 11 = 0, 5*j + 2*k + 5 = -7. Let h be (-57)\/(-45) - (-4)\/(-6). Let y = 5 - 5.2. Which is the nearest to h? (a) y (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*l**2 + 470375*l.\nAnswer: -5*l*(8*l - 94075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*h - 8, -2*j + 43 = -2*h + 21 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15253 + 3712 = -3*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z + 4. Let y(v) = -9*v + 7. Let b(o) = 7*s(o) - 4*y(o). Let x(f) = -14*f**2. Determine x(b(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-3 - 0) + 1). What is the units digit of 0 - ((-1)\/x)\/(9\/(-108))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.6. Let v = -5.2 + a. What is the nearest to 0 in -0.1, -0.4, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - 3*f - 3. Let a(p) = p**3 + 2*p**2 - 3*p - 4. Let u(x) = -3*a(x) + 4*b(x). Suppose u(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4431 + 4508. Solve -14*g + r = 105 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 5 (b) 1\/5 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.46 and 20970.79191.\nAnswer: 20967.33191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 - 0) + (6 - 27 - 1 - -82)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.15 times -19\nAnswer: -40.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*r - 48 = 0, -h - 3*r = -r - 26. Let o(w) be the first derivative of w**3\/3 + w**2 - 2*w + 2. Calculate the least common multiple of h and o(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, f: 7}. What is prob of picking 2 f and 1 c?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 4. Let m = 218 - 218. Suppose -40*y + 31*y + 18 = m. Solve -g + o*g - 6 = v, -4*v = y*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/35 in -0.49, 3, -2, 3\/2?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115.921 - 0.079. Is n at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(539)*5 + sqrt(121)\/(2*sqrt(1584)))**2.\nAnswer: 31009451\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 2*y**2 - y + 1. Suppose 0*o - 2*o = -82. What is the remainder when o is divided by a(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*y - 9. Suppose 0 = 5*g + 5*a + 5, -g + 2*a = -3 - 5. Let q be 9\/g - 3\/(-6). Solve q*x - y - 17 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 68416097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 i when three letters picked without replacement from piypokpzioyizi.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**4 + 8*s**3 + 13*s**2 - 8*s. Let w(k) = k**4 - 2*k**3 - 3*k**2 + 2*k. Let q(f) = -2*b(f) - 9*w(f). Determine p so that q(p) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-24)*((-15878)\/1785 - -8) - (-9)\/126.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2367062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73.48 + -3.08. Let w = -94 - -29. Let k = r + w. Round k to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (-2 + 7 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62004 and 64.\nAnswer: 992064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 1:40 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -27 - 423. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/1811 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 - w**2 - 2*w + 1. Suppose 5*p - 5*c - 1 = 4, 4*c = 3*p - 2. Let r be q(p). What is the units digit of r\/9 - 16\/(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6689 by 6.\nAnswer: -6689\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -35\/2*w**2 - 4 + 71\/6*w**3 - 1\/6*w**4 - 6*w. Factor o(v).\nAnswer: -(v - 35)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950141 divided by 1.\nAnswer: 950141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:52 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3823\/5 - -764. Suppose 5*o - 8 - 2 = 0. Suppose 14 = d - 2*f, d - 4*d + o = 2*f. Which is the nearest to d? (a) x (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423 is divided by 436.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 207354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + -21. What is the units digit of (1 + -3)\/(-2)*w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*sqrt(11) - sqrt(11)) + 3 + sqrt(11) + 4 + sqrt(11) + -1)**2 - ((-1*sqrt(605))\/sqrt(11))\/(sqrt(245) - 4*sqrt(245)).\nAnswer: -169*sqrt(11)\/21 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 + 257 + 255 = 5*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -81878?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 d when three letters picked without replacement from uuuuudurudduuuuuu?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 >= -61335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 + 3*h**3 + 3*h**3 + 21 in the form r*h + s*h**3 + o + b*h**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0, -0.21, 0.95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000074316985 to seven decimal places.\nAnswer: 0.0000743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30232 (base 5) in base 13?\nAnswer: b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o*u**4 - 36*o*u**3 - 315477*o*u + 12*u**3 wrt u.\nAnswer: -12*o*u**2 - 216*o*u + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1038604 divided by -796\nAnswer: 259651\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104 or -502?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(6\/11)*z*z**(-4)*z**8*z\/(z*z\/(z**(2\/9)\/z)) assuming z is positive.\nAnswer: z**(373\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*n = -8 - 40, 5*n + 60 = 5*v. What is the highest common factor of 3272 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8739*t**2 - 16. Is p(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3540754 and 63.\nAnswer: 31866786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185*q**2 - 29 wrt q.\nAnswer: -370*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 28 = -4*m, -c + 9 = 3*m - 14. Let w(a) = 2*a + 2*a + 2 + a. Let v(z) be the first derivative of 9*z**2\/2 + 4*z - 7. Give c*w(x) - 6*v(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/6*((-3 - -9) + (-120)\/50). Solve -8*t = -z*t + 3*p + 19, -5*t + 25 = -4*p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r - 3. Let f(c) = 7*c - 2. Let x(p) = -3*f(p) + 4*w(p). Suppose 0 = 3*k - d - 9, 3*d + 7 = 4*k - 0*d. What are the prime factors of x(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14598.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/2 in -3.2925, -5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*p - 14 - 15 = 0, -2*p - 2 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:41 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 + 14*t**2 - 14*t + 4. Let w(x) = x**3 - 5*x**2 + 5*x - 1. Let v be 3*(-3 - (1 + -3)). Let q(f) = v*j(f) - 8*w(f). Is 5 a factor of q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 v, and 1 a when four letters picked without replacement from {v: 10, a: 1, b: 2, q: 1, j: 3}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/42 - 4*n**3\/7 + 36*n**2\/7 + 18*n - 6. Let l(k) be the first derivative of d(k). Solve l(h) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313366 is divided by 3369.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -152\/39 + 42\/13. Let l be (-3)\/(-27) + (-26)\/(-90). Let s(k) = k**2 - 42*k + 382. Let r be s(13). Which is the nearest to l? (a) h (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656320707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q = 37*q + 81*q - 11934. Let n(c) = 6*c**2 + 2. Let k be n(-2). Calculate the highest common divisor of k and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121022210210 (base 3) to base 5.\nAnswer: -40240343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35610722 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - i**2 + i + 19. Suppose 4 = -2*k + 3*k. Suppose 4*h + 2*t + 3*t + 25 = 0, -20 = 5*h + k*t. Is s(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 - 9*g. Determine s(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -0.07561?\nAnswer: 3.07561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 13*t - 9. Let u be k(14). Suppose 2*m = -13 + 123. What is the greatest common factor of u and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**37*u)**(-45\/7) assuming u is positive.\nAnswer: u**(-1710\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*z + 230 = -3*z, 2*l = 2*z - 164. Does l = -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 401 - 5042431?\nAnswer: -5042030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-18) - 5)*(-24)\/105?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429 divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - 4 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 - -36. Let n(l) = 8*l**2 + 2*l. Let i be n(3). Let p = s + i. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7675 - 5119. List the prime factors of q.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -928285*k**3*n - 2*k**2*n - 15*k**2 - 4*k*n - 9*k + 49357*n - 4 wrt k?\nAnswer: -5569710*k*n - 4*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -157, -4, 31 in decreasing order.\nAnswer: 31, 2, -4, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2632253 divided by 4\nAnswer: 2632253\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -70. Suppose -b*a + 2110 = 6*a. List the prime factors of a.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/216832 and 9\/98?\nAnswer: 1517824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**3\/3 + 4*u**2 + 6*u - 260. Determine q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67226*a - 67217*a - 135. Solve 16*p + 2 = 18*p - n, -5*n = -5*p + a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*t - m + 36, 0 = 4*t + 2*m - 36. What is the least common multiple of 204 and t?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) - (-1)\/2. Let x be ((570\/(-250))\/(-19))\/(-1). Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 2*x - 1. Let p be y(-3). Let j(k) = k - k + k**p. Let t(i) = -4*i - 9. Let b(d) = -14*d - 30. Let v(q) = 3*b(q) - 10*t(q). What is v(j(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675536719.\nAnswer: 11, 13, 499, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14850 + c**2 + 14850.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11817806 + 723.\nAnswer: -11817083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.2 - -12. Let z = -27393 + 27394. What is the nearest to z in o, -0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/4 + 1 + -1. Let t be (-3)\/5*(c + -11). Suppose -3*d + 2*d - t*a = -97, 5*a + 20 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/60 - 25*c**2. Let k(r) = -3*r. Give k(f(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 5 + 5)*(-3*s - 1151 + 1151) in the form q*s + z + l*s**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8263314 - 2.336371. Let r = 0.49 - s. What is r rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -5\/12, 35, 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from uxpxppupupx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1934.0025 months?\nAnswer: 0.161166875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.110123 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4392*u**3 - 421*u**2.\nAnswer: -26352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-462 + 462 - 269*k)*(0 + 0 + 3).\nAnswer: -807*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 39 = -2*g, -4*g + 92 - 27 = -5*h. Suppose 0 = 3*x - 5*u + 1 - 4, -4*x + 39 = 5*u. Let j = x - h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 5, 2, -37 in descending order.\nAnswer: 7, 5, 2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2064 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10134 + 10134.0304. What is s rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 5*k**2 + 5*k - 11. What is x(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.7884 - -1.2216. What is v rounded to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3768 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*t - 20*t = 4*t - 261. Let o(m) = m**3 + m + 4. Let r be o(0). Suppose -b - 105 = -3*g - 0*b, r*g + t*b - 140 = 0. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0\/(-1))*(-3 - (0 + -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i - 17*i + 518. Let n = -187 + i. Calculate the least common multiple of 44 and n.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 22\/6 - (-52)\/12. Suppose 4*w + 3*i - 31 = 4*i, -40 = -x*w + i. Which is the biggest value? (a) 2\/9 (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 615 - 607 = -t, 3*c + 2*t = 24. Solve -2*x = -5*a - 25, -3*a = 3*x + 7 + c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 4*c - 2. Let h = 72 + -48. Let m = h - 28. Is k(m) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91*(-153)\/(-1428))\/(3\/16)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 6*j)*(0*j + 0*j + 5*j).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16567687*r**2*s**2 - 46959*r**2*s - 7*r + 4*s wrt s.\nAnswer: -33135374*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b + 5*n + 70, 12 = b - 3*n. Suppose 132 = 2*j + 5*z + 36, 5*z = 10. Calculate the remainder when j is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 16 - 9 = 0. Let h(y) = y**2 - 6*y + 11. Let t be h(w). Let k(p) = -p**2 - 6*p + 7. Let q be k(-7). Solve q = t*i - i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1018354 and 56522.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 1)*((0 + 0 + 2*c)*(-1 + 2 + 1) - c - c + c + (-2*c + 0*c - 5*c)*(-1 + 1 + 2)) to s*c + a and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Let k be v + -7*(0 + 1). Suppose 0*h - 3*h - 12 = 0. Sort k, -1, h in increasing order.\nAnswer: k, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 348 + 126. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10040822 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 81858041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, o: 5}. What is prob of sequence ozo?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -3*s**4\/4 + s**2\/2 + s + 2. Let m be q(-1). Suppose -57 = -5*t - 4*f, 0 = -5*t + f + m*f + 73. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0 + (-7 + 0 - 11)*(-7 - 4 - 2))*(15 + 2*k - 15) in the form w + s*k and give s.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*c**2 - 294*c - 88 = 0. Calculate c.\nAnswer: -2\/7, 44\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 8:41 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*10\/(-2) + (17 - -10121) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 8. Let y be 33\/22 + 1\/(-2) - 1. Give c(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/6 + 245455*s**4\/3 + 2454533*s**3\/6 + 1963622*s**2\/3 + 327270*s = 0.\nAnswer: -490905, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(275) - sqrt(275)) + sqrt(275) + sqrt(275) - sqrt(275))*2 + (sqrt(275)*1)**2*-1)*-3*3*-3.\nAnswer: -7425 - 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - w + w - 6*w + 8*w + 30*w**2 in the form c + f*w**4 + r*w**2 + a*w + d*w**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181388.\nAnswer: 2, 137, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(sqrt(60) + 3*sqrt(60)) + sqrt(60) + -1*sqrt(4860))\/(sqrt(12) + (2*sqrt(120) - sqrt(120))\/sqrt(10) - (sqrt(588) - sqrt(588)*-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/8*(-820)\/1025)\/((-30)\/(-520))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/(q**(-3\/4)\/q))\/(q*q**(2\/3))**45 assuming q is positive.\nAnswer: q**(-293\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 345613 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, -3, -12, 787, 0, 3 in decreasing order.\nAnswer: 787, 17, 3, 0, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 - 13*r**3 + 7*r**3 - 3*r**4 + 1 + 9*r**3 - 21*r wrt r.\nAnswer: -24*r**2 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6)*(-42)\/(-4). Suppose -p + 3 = -j. Factor 4*n**j - 21*n**2 + 21*n**2 - 2*n**5 - 8*n**3 + 6*n**5.\nAnswer: 4*n**3*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 1. Let i(z) = 7*z + 28. Determine -i(n) + 28*x(n).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 3, g: 2, h: 3, x: 3, w: 2}. Give prob of picking 1 e, 1 h, and 2 w.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**3 - 2*c**2 + 1. Suppose 9 = 4*g + 5. Give t(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23\/5 - -21\/5. Let a be (1*3\/(-36))\/((-6)\/16). What is the nearest to v in -4\/5, a, 3\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 57*d**2. Let o(p) = 13*p. Let y(c) = 3*c. Let j(w) = -4*o(w) + 18*y(w). Determine i(j(l)).\nAnswer: 228*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.1 - 2. Let d = 4 - o. Do d and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)*t)**(-32)*t**6*t\/(t\/(t**(-1\/2)\/t))*t assuming t is positive.\nAnswer: t**(-393\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 144 = 2*c - 96, 5*c = -2*a + 624. Suppose -2*y - c = y. Is 12 a factor of (y\/(-4))\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055393 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (13 - 13) - (2 + -3 + 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*t + 78*t = -4*t - 3068 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 35. Is g at most -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1358.\nAnswer: -2\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981*f + g = -978*f - 5, 2*g + 4 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -3.914598?\nAnswer: -5.0889774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364197.\nAnswer: 3, 73, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + 21. Suppose w - 2*s = 13, -5*w - 2*s + g = -3*w. Let a(j) = -20*j + 43*j - w*j. Let p(u) = u**2. Determine a(p(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 7?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 1. Suppose -5*y = 35 + 535. Let m = y + 117. Give f(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*b - 264*b = 238 + 1462 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 17 = -3*v, 0 = -5*a - 2*v + 2 - 15. Let r be a + (-5)\/(20\/(-7)). What is the nearest to -1 in 2, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*c - 87*c - 13 - 95*c + 105 - 25 to the form v + h*c and give h.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -9 + (3 - 4) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:51 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 16, 9, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*t + 6. Suppose 2*y - 2*w = y + t, -3*w - 96 = -2*y. Calculate the greatest common divisor of y and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 32813*m**3 + 2 - 1 + 0*m**2 - 5*m + 3 - m**2. Let t = 1 + 3. Let j be u(t). What is j rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.2768 millennia in months?\nAnswer: 2139321.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5599 and 847.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 + 7 = 0. Sort -3, n, 35, 0.\nAnswer: -3, n, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*y - 5, 0 = -x + 5*y + 25. Let l = 0 - -28. What is the remainder when l is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/31 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6250 = 2*k. Suppose -43*h = -48*h - 1685. Let z = k + h. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8316*v**4 - 2371056*v**3 + 7319204*v**2 - 844896*v + 6768 = 0. What is v?\nAnswer: 2\/231, 1\/9, 3, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10*d**3 - 3*d**2 - 6. Let j be r(-3). Let f = 364 - j. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k. Let f(a) = -41*a + 6. What is f(j) - 8*o(j)?\nAnswer: -73*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f + 2. Let z be a(-4). Suppose 0 = -2*r - b + 10, -r - z = -3*r + b. Let u be (1*r)\/(6\/4). Solve 3*h - 2*h = u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818*f**2 - 486*f**3 + 518*f**2 - 1336*f**2.\nAnswer: -486*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 222 = -4*q, 41*j + 10*j - 5*q + 50 = 56*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 7*c - 22. Let g be y(-18). Let d be g\/11*(-11)\/(-4). What is the highest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 61*y**2 - 8*y - 4. Let c = -5 - 0. Is p(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 + 676\/20 + -1. Suppose -2*p + c + 75 = 0. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*3010\/1075?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147356316 by -36.\nAnswer: -4093231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 6*o + 4*u + 16, -o = -4*u - 16. Suppose -2*w - z + 1 = 0, -w - z = -o + 1. Solve -4*t + 20 = 2*a + 2*a, -w*a - 11 = -5*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 5*b - 1\/4*b**4 + 2*b**2 - 5\/3*b**3 + 9. Suppose -3*w + 6*d = d + 40, -5*w - 10 = 3*d. Calculate u(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 804 + -1?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1854738 - 2\/9*n**2 + 1284*n.\nAnswer: -2*(n - 2889)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-2 - (-4 - -7) - (4 + -2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Let g = -177 - -182. Solve g*l + 15 = -w*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1826975 and -11049760?\nAnswer: 11049759.8173025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - -10. Let a = -3.5 - q. Let j = -32 - a. What is j rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 353 + -431. Calculate the common denominator of -19\/35 and (74 - 73)\/(q\/46 + 2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.02 - -0.02. Let i = -1322.8 + 1323. What is the nearest to -0.2 in -17, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from pdddvvdvwpdd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -288730 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/7)\/l)\/l**4)\/(l\/(l*l**(-3)*l)*l*l**(-10)))**(-26\/3) assuming l is positive.\nAnswer: l**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 6 = 10, -3*s = 2*b + 12. Suppose b = -4*c + 421 - 37. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -12) + -41 - (-2 + -2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/17)*b*b\/(b*b**(-1\/24)*b*b))**(-6\/7)\/(((b**(-2\/9)\/b)\/(b\/(b\/(b\/b**(-2\/3)))))\/(b**(-5)\/(b**(4\/5)*b))) assuming b is positive.\nAnswer: b**(-82381\/21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 369 + 257 = -188 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42415346 (base 7) to base 4\nAnswer: 31233021203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -83. Let y = d - -17. Let q(t) = 3*t - 49. Let k be q(y). Solve 3*v - 4 - k = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*u**2 - 85*u**2 + 156*u**2 = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**29\/(z*z*z**(-27)))\/(z**(1\/6)\/z**(-6\/23)) assuming z is positive.\nAnswer: z**(7393\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -5*s**4\/4 + 15*s**3 - 60*s**2 + 80*s - 6. Suppose b(r) = 0. Calculate r.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 403 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 20*i**2 + 32*i - 192.\nAnswer: -4*(i - 4)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40951.7 - -48500. What is i rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/7 - -10\/21. Let x = -3567 + 3566. What is the closest to x in 1\/8, -2, -13, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/5 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5304)\/(-204))\/(((-3)\/(-9))\/(2\/(-12)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -370991, -370995, -370999, -371003?\n\"Answer: -4*f - 370987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -294.\nAnswer: -3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6123264 (base 7) to base 16\nAnswer: -b1e64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59969 and 188474.\nAnswer: 1319318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -20, -471, -4594 in increasing order.\nAnswer: -4594, -471, -20, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4, -5\/278, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-20)*(-6 - -2)*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(7\/3 - 3). Let i = 399 - 379. What is the least common multiple of i and 25\/n - 3\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2450550, 2450557, 2450564, 2450571, 2450578?\nAnswer: 2450585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 - 3496*v - 271074. Calculate p(-788).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -8, -55, -136, -257, -424, -643?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 - 41*s - 57 - 58 - 3*s**2 + 69)*(-3*s**2 - 3*s**2 + 3*s**2) as l*s**3 + d*s**2 + j*s + u*s**4 + x and give l.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 3:34 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 221*y. Let v(p) = -28453*p**2. Give v(n(w)).\nAnswer: -1389672973*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -67 + 0*v**2 - 13\/2*v**3 + 1\/4*v**4 - v. Suppose p(d) = 0. What is d?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -1)*(-7 + 8). Let c be (q + -1 + 2)*2. Suppose -50 = -4*v + 2*y, -v = -4*v + c*y + 38. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6598.974 millilitres?\nAnswer: 6.598974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/((-2)\/(-9))*-2. Let y = 4 - 3. Put y, g, 3 in descending order.\nAnswer: 3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - (7 - 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 23 - 14. Factor 12*q**3 + 8 - 32*q + 14*q**4 - 11*q**5 + 50*q**2 + 9*q**5 - 50*q**v.\nAnswer: -2*(q - 2)**2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -7. Let g = 9 + -5. Suppose -2*x + 3*x - g*z = 8, -9 = -3*x - 3*z. What is the remainder when j is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51\/2 of a micrometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byghwwbqbhqqqwgh. Give prob of picking 1 y and 1 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-7) + -2*(-22)\/154?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) -6\/11 (c) -4 (d) -0.14 (e) 4 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-3 + sqrt(91))*2)\/((4*sqrt(70))\/sqrt(10)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341, -344, -347, -350, -353?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -883.9999748 + 884. What is q rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Three letters picked without replacement from eoeoggoooogooggoooo. Give prob of sequence ggg.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from pxssfp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -7*a**2 + 100*a - 6. Let i be x(7). Solve -b = 3*b - 3*m, -3*b + i*m = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n + f + 8, -2*n - 2*f + 10 = 0. Let a be (-30)\/n*-2 + -3. Suppose -2*q + 17 = -a. What is the remainder when q is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvvvzzvzzzvz. Give prob of sequence zz.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 5*r + 50, -75 = -4*t - 3*r. Let d = 57 + -53. Calculate the remainder when t is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (47 - 28 - 18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 2*t + 6. Suppose -f - 5 + 1 = 0. List the prime factors of g(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30223300 rounded to the nearest 100000?\nAnswer: 30200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104750872 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 11:07 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2\/7 + 24*q\/7 - 27\/7 = 0. What is q?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.148217257.\nAnswer: -0.0741086285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59076 is divided by 1967?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o - 24 + 6*o**2 + 37*o + 2*o**3 - 18*o = 0. What is o?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5159 and 8168573.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 350 - 507. Let v = c + 178. What is the highest common divisor of v and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -930, -7499, -25338, -60093, -117410, -202935?\nAnswer: -322314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -634176090 - 0.1?\nAnswer: -634176090.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48956451 divided by -21?\nAnswer: -16318817\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-2)*4\/(-6). Let c = l + 4. What is the remainder when 2 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1330 - -1322. Let h(j) = -6*j**2 - j + 1. Let o be h(1). Let t = o - w. Solve 4 = t*l - l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1022*f**2 + f + 2. Let a be j(2). Suppose -52*i - a = -58*i. Is i a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 146*o**2 - 4 + 7 - 2 + 0 + 2 - 106*o. Let g(k) = -147*k**2 + 106*k - 2. Let w(q) = -3*g(q) - 2*x(q). What is the second derivative of w(i) wrt i?\nAnswer: 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/126 and 113\/27990.\nAnswer: 195930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 12884194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*f**2 + 11*f**2 - 16*f**2)*(-3 + 0 + 0) + 4*f**2 - f**2 - f + 12 - 4*f**2 to the form k + g*f**2 + t*f and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzz when three letters picked without replacement from hzhhz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134405*d**2*h**3 - 2*d**2*h**2 + 3*d**2 - 4*d*h + 9*d + 67*h**3 + 8*h**2 wrt h?\nAnswer: 806430*d**2 + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + 3047 - 2*o**2 - 1333 - 1158 + (o - 2*o + 2*o)*(2*o - 2*o**2 - 2*o) + 3*o**3 - o**3 - o**3.\nAnswer: -3*o**3 - 2*o**2 + 556","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*m + 1, -4*m = 4*w + 4 - 0. Let n = 6 + m. Suppose -n*k + 77 = 2*i - 77, 3*i - 111 = -3*k. Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30937\/11 + -2813. Sort -0.4, -168, h in increasing order.\nAnswer: -168, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19) + (sqrt(57)\/sqrt(3))**2 + -2 - (5 + sqrt(38)\/sqrt(2)*2).\nAnswer: -sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6642.217s?\nAnswer: 6642217000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34442806*i**2*y**3 + 187445*i**2*y - 24*i**2 + 5*i*y - 6*y**3 wrt y.\nAnswer: -206656836*i**2*y - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 + 13*x**5 + 8*x - 4 - 2 wrt x.\nAnswer: 260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -13*g - 4. What is the tens digit of i(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5409*m**3 + 20*m + 4*m - 41*m + 17*m)*(m + 0 + 0).\nAnswer: -5409*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4 - 12*g**3 + 29*g**2 + 12*g - 28 = 0.\nAnswer: -14, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 2)*(4 - 2 - 3) + 1 + 0 + 1)*(22 - 22 - 7*h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11707 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y + 301. What is n(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -4. Let w be 312\/(-14) + 2\/a. Let k = -12 - w. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*c + 4*b - 5, 2*c - 7 = 3*b. Differentiate -6*z**3 + 37*z**2 - 37*z**c + 2 with respect to z.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -183*g - 3806. Calculate the lowest common multiple of 15 and c(-27).\nAnswer: 3405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12489\/4 - (-2)\/(-8). Let p = z - 30797\/10. Let v = p + -752\/15. Calculate the common denominator of -111\/22 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/780 and 99\/4.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 698714?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -17*v + 261. Give k(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 232*h + 4145. Give n(-18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/10 and -37\/5436.\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 141385*i - 2119650.\nAnswer: -5*(i + 15)*(i + 28262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 404*b + 24 = 402*b, -3*b = 18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/270)\/((-3)\/9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + -2*sqrt(125))**2.\nAnswer: 20*sqrt(5) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*d*p**4 + 8*d*p**3 + 2*d*p - 2*d + 11*p**5 - 11947*p**2 wrt p.\nAnswer: 2544*d*p + 48*d + 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v**(-1\/9)\/v*v)*v)\/v)\/v)**(-46)*(v**(-7\/3))**(-22\/7) assuming v is positive.\nAnswer: v**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -179096.\nAnswer: -1\/44774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, o: 2, c: 1, t: 2}. Give prob of picking 2 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*o + t, 574*o - 576*o = t - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -12) + -3 + -35 - 27.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -75) + (0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:40 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1060.902 - 2.098. Let v = a - -973.9. What is v rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 12082?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8336 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 83616?\nAnswer: 250848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 268*f + 11830.\nAnswer: -2*(f - 35)*(f + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccczcoog. What is prob of sequence og?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-3 + (0 - -2)). Suppose m*v - 35 = 31. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(132)\/sqrt(4))\/sqrt(11))*3 + -3 + (sqrt(3) + (sqrt(12) - sqrt(3)))**2 + (sqrt(30)\/sqrt(10))**2*-3.\nAnswer: -12 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*b + 11771 = 11932, -4*b + 13 = y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9905007 decades to centuries.\nAnswer: 0.09905007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031 times 5?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b. Let q(g) be the third derivative of 0*g**5 + b + 2*g**2 - 1\/60*g**6 + 0*g**4 - 1\/3*g**3 + 0*g. Differentiate q(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - j + j + 4*j**2. Let n be p(1). Let o(f) = -f**2 + 4*f + 7. Let c be o(5). What is the highest common factor of n and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 6348?\nAnswer: -6346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 10. Let v = l + 39. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39*-4\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.0723 (b) -0.3 (c) 16 (d) 2 (e) 0.4 (f) 5 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 87*u - 94*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -386417.\nAnswer: 1\/386417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -1 - (26 - (49 - (-16 - -43)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/3 - 1900*u + 5695\/3.\nAnswer: 5*(u - 1139)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2, -87.\nAnswer: -87, -3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - z**2 + 2. Let d be k(0). Is 61 + 4\/d + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/4))**(-13)*(x\/(x*x\/(x**(-41)*x*x)))\/(x\/(x**(-29)\/x)*x))**21 assuming x is positive.\nAnswer: x**(-7413\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -34, 0.4, -5\/2, 2.1 in ascending order.\nAnswer: -34, -5\/2, -0.3, 0.4, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y**(-3)\/y))*y*y*y*y*y**(1\/4)*y)\/(y**(-2\/9)*y**(2\/7)*y) assuming y is positive.\nAnswer: y**(299\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.688027 times -0.1?\nAnswer: -1.1688027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48825 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*z + 754 = 2*g, -4*g + 761 = 5*z. Suppose 0 = -5*j + a + 101, 3*j - 83 = 3*a - 8*a. Calculate the highest common divisor of j and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 12*g**2 - 11*g - 14. What is the remainder when m(13) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 3*h = -6*h. Suppose h = -3*f + 1 + 95. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**(3\/11)*(k*k*k**(-1))**(4\/7)*(k**(-3\/8)\/(k**(-1\/13)\/k))**(-45) assuming k is positive.\nAnswer: k**(-249097\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -35. What is the nearest to 2\/5 in 0.5, m, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8847000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*p + 910 = 67*p. Let y(u) = u**2 - 4*u - 6. Let j be y(8). What is the greatest common divisor of j and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 77.0154s?\nAnswer: 1.28359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31.598 days?\nAnswer: 758.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 3*k**2 - 3. Let w(a) = -2 + 6 - 9*a**3 + 7*a**3 + 4*a**2. Let f(i) = i**3 + 8*i**2 + 7*i - 6. Let m be f(-7). Determine m*c(h) - 4*w(h).\nAnswer: 2*h**3 + 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gttg when four letters picked without replacement from {t: 2, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 943.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259442 and 1474910.\nAnswer: 3554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/12 and -27\/784.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -6, 9\/5, 7?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 25. Let m(c) be the second derivative of 0*c**4 + 1\/3*c**3 + 0 + r*c**2 - 1\/10*c**5 + c. Factor m(o).\nAnswer: -2*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57670 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {d: 1, h: 1, t: 1, c: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 369.9994728 + -370. What is y rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 344 - 1140 = -2*i - 451, 2*w + 2*i = -w - 207 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s = -26 - 330 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose -19 = 2*o + p, -o = -5*p - 0*p + 37. Let c be 1 + (-16)\/o - 2. Put c, -5, v in descending order.\nAnswer: v, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by (30*10\/(-15))\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3692, -5.\nAnswer: -3692, -19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2673708*m**4 - 335*m - 1119.\nAnswer: -32084496*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4416 and 53\/3064704?\nAnswer: 3064704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399181*o + 91428 = 397577*o for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(10\/(-8)) + 0. Suppose i = -4*u - 0*i + 22, -13 = -u - y*i. Suppose -2 - 8 = -u*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one quarters of a litre in millilitres?\nAnswer: 7750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f - 2*t = 193, 11*t - 43 = 5*f + 15*t for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1504*h**3*i - 1430*h**2*i + 2*h**2 wrt h.\nAnswer: -9024*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 15\/2*c**2 - 27\/8*c**3 - 3\/2*c + 0 = 0.\nAnswer: 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 10356796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 44 + 30 - -40 - -21.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c**3 - c**2 - 11*c + 21. Determine o(2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (-2 + 1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1612, -3241, -4870, -6499?\nAnswer: -8128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*v = 128*v - 3*y - 3453, -2*v + 4*y = -2310. What is the greatest common factor of v and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3990 and 288225.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**2 - 3*m**2 + 7*m**2)*(1 + 0 + 1 + (-3 + 1 - 2)*(-1 + 3 + 0)) in the form b + h*m**2 + z*m and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 15. Let l be s(15). Suppose n - 4 = -l*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19457883*g - 1275478 wrt g.\nAnswer: -19457883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, x: 4, w: 1, m: 2, y: 7, n: 2}. Give prob of sequence mwk.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(448) - (sqrt(14)\/sqrt(2))**2*5)*-3 - ((sqrt(343) - (sqrt(343) + 1 + sqrt(343) + 2)) + 5).\nAnswer: -41*sqrt(7) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/160*(-12)\/4.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klvlkkll. What is prob of picking 1 v and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 5)\/3*5. Let u be (-1)\/(-2)*(-7 + g). Let t = u - -2. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77431 by -1.\nAnswer: 77431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3988 + 221 = 4*f, 4 = 4*s. Calculate the highest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -104. Suppose -37 = -4*l - 3*a, -b*l + 40 = l + 4*a. Let v(y) = y**2 - 7*y - 1. What is v(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 558, 554, 550, 546?\n\"Answer: -4*n + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = 4*g + 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/60 + 2*h**3\/3 + 8*h**2. Differentiate z(i) wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 1.63, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25508903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**2 + u. Let j be r(-2). Suppose -4*o = -a - 1 + j, -4*o - 41 = -5*a. Let l = o - -4. Solve -d - d + 10 = l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w + 34. Let f be b(12). Let c be (f\/(-5))\/((-6)\/(-15)). Solve -15*t = -c*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**3*j))*j*j**14*j)\/(j**(-2\/3)\/(j*j*j*j*j\/j**(-3)*j)))**30 assuming j is positive.\nAnswer: j**920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2126*v + 2066*v. Factor v + 8\/7*w - 2\/7*w**4 - 2\/7*w**3 + 8\/7*w**2.\nAnswer: -2*w*(w - 2)*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7529 >= -22966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/2792 and 8\/1773?\nAnswer: 4950216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 843575 and 82300?\nAnswer: 3374300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from okkdmcookm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4, 1\/22, -0.257?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 323*b**2 - 2*b - 6. List the prime factors of x(2).\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 12*a + 3*a**2 - 8 + 4*a**2 + 2*a**3 + a**3 - 4*a**3. What is n(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccee when four letters picked without replacement from cececcecccccccc.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + l + 21, -5*p + 1 = l - 18. Put 3, -2\/3, p in increasing order.\nAnswer: -2\/3, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 69, -91, -245, -393, -535?\n\"Answer: 3*l**2 - 169*l + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**4 - 19*g + 4*g**4 - 694*g**2 + 696*g**2 to o*g + y*g**3 + p*g**2 + v + m*g**4 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15686 and 185?\nAnswer: 2901910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 437.6 (b) 0.2 (c) 2\/3 (d) -0.5 (e) 7 (f) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 439*o**2 + 6*o. Let z(c) = -220*c**2 - 3*c. Give 3*f(r) + 5*z(r).\nAnswer: 217*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 495, 990, 1485, 1980?\nAnswer: 2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**8\/60480 + h**7\/22680 + h**6\/6480 - h**5\/1080 + h**4\/4 - 2*h. Let p(s) be the third derivative of f(s). Factor p(y).\nAnswer: -(y - 1)**2*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from vlvlvl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 9 = 6, 5*r = -3*o. Suppose o*i - 88 - 17 = 0. What are the prime factors of (-1)\/((-3)\/i*1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323334523?\nAnswer: 433, 677, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 2 - (-2)\/12. Let y be -3 - (-32)\/24*15\/6. Which is the third biggest value? (a) t (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 21*r**3 - 1. Let f be s(1). Suppose 0 = -5*y - 5*l - f, 3*y - l - 1 = 3. Suppose 0 = 7*h - 20*h + 26. What is the smallest value in h, -5\/2, y?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -341*g - 768*g**3 - 359*g**3 - 43*g - 361*g wrt g.\nAnswer: -6762*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*-1*(-33)\/(-110)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m - 19*m - 5*m)*(m + 0*m + 0*m)*(-4*m**2 + 1 + 5*m**2 + 1) to w*m**2 + b*m**3 + j + n*m**4 + h*m and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42768 and 6237?\nAnswer: 299376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4871\/444 (b) 2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 400db?\nAnswer: 400da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 436 + 12\/3 + (-28)\/7. Suppose -4*t + 544 - b = 0. Calculate the greatest common factor of 108 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 70191?\nAnswer: 491337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 17. Calculate the greatest common factor of l and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*a - 2, -4*b - 3*a + 9 = -22. Suppose -r + 3*r - b = 0. Suppose n - 1 = -2*n + 4*o, 0 = -r*n + o - 4. Which is greater: n or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 42*g - 217. Let b be t(5). Let a(z) = z**2 + 13*z + 49. Determine a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/8 - f**3\/2 + 6*f**2. Let y(g) = -4*g + 3. Determine -6*r(v) - 5*y(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 49 - 40 = -5*y, 5*y + 2 = 3*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12245.59kg to nanograms.\nAnswer: 12245590000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a - 2. Let z be v(-1). Suppose 3*x + 2*x + z = 2*o, 1 = -2*o - x. Suppose 5*h + 25 = o, -2*h - 33 = -2*p + 29. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286676 divided by -148?\nAnswer: -1937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.056 - 0.356. Let i = -6 + 6.5. What is the closest to 2\/5 in -0.1, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 72142323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or -335\/4?\nAnswer: -335\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*i - 753*i - 2 + 401*i + 292*i.\nAnswer: 263*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -429*a**2. Let k(d) = -50*d**2 - 6*d. Let i(q) = -3173*q**2 - 380*q. Let s(b) = 3*i(b) - 190*k(b). Determine s(v(y)).\nAnswer: -3496779*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 + 1309. Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26767*i**4*j**2 - 13*i**2*j + i*j**2 - 8*i*j - 21*i wrt i.\nAnswer: -642408*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*n + 3*b, n + b - 10 = 6*n. Let j(q) = 4*q - 5. Let a(w) = 40 + 2*w - 96 + 28 - w + 28. What is n*a(g) + j(g)?\nAnswer: 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a factor of 25279260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/24*(-70)\/(-175)*(-50)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*m - 248 + 119 + 129.\nAnswer: -127*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20471131?\nAnswer: 263, 277, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 4*g - 381. What is the remainder when 246 is divided by g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 119246377 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n**(2\/13)\/n*n)\/n)\/n)\/n*n**(1\/2))\/(n**(-13)*n*n**(-4)))**(4\/9) assuming n is positive.\nAnswer: n**(710\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -105*z + 98*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/11)*m\/(m\/(m*m\/m**(3\/11))))**(-11\/5)*m\/m**3*m**(-9)*m**(-2\/3)\/m**(1\/2) assuming m is positive.\nAnswer: m**(-551\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 12*y - 21. Let i be b(-15). Let z = 10 - i. Is (-2250)\/z - 12\/(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -31. Suppose 8 = 2*l + 2*x, 4*x - k = -3*l - 0*x. Suppose 2*w + l*w + 4*s - 47 = 0, 0 = -5*w + 5*s + 65. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.027? (a) -4 (b) -3 (c) -28 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*x - 3*x - x + (-2 + 7 - 3)*(9*x + 0*x + 0*x))*(4*x - 1 + 1) to the form w + m*x**2 + k*x and give m.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -106\/5. Let n = -0.3 + -1.3. Let h = n - -1.2. Put 0.5, m, h in decreasing order.\nAnswer: 0.5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.961 (b) -0.5 (c) 2\/15 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 17*n - 61. Calculate the smallest common multiple of 3 and z(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/35)\/((-8658)\/(-7770))?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991257755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 12 = 4*t - 0*f, 4*t = 3*f + 4. Let o be 2*((-44)\/8 + 4). Is t >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3200127799 or 1?\nAnswer: 2\/3200127799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 12:26 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 300. Let v be (f\/15)\/((-2)\/(-3)). Suppose b + 33 - 38 = 0. Solve -b*c + v*c - 20 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**6\/57 + 4*b**5\/95 + 21*b**4\/38 - 124*b**3\/57 + 40*b**2\/19 - 1974. Solve l(f) = 0.\nAnswer: -5, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(3\/5))\/x**(-2\/3)*x**5\/x**(-2\/3) assuming x is positive.\nAnswer: x**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4568 = -2127*u + 2265*u - 13952 for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/2 - 196845*x**2 + 787362*x - 787356.\nAnswer: 3*(x - 131226)*(x - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 324071443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.64 + 1.54. What is w rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 3 + 3 + (1 - 4 + 0)*(2*k + 1 - 1))*(4*k - 3*k + k) as x*k + z + l*k**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30\/17? (a) -2\/5 (b) 3 (c) 0.3 (d) 2776\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 221207 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(-12)\/(-9). Let u(t) = -t**2 - 8*t + 3. Let p be u(-8). Is p*(321\/9 + s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1*((-83049)\/558 + 141)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let q(y) = -1007688669*y. Determine q(a(z)).\nAnswer: -2015377338*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 47.\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -797, -1597, -2407, -3233, -4081, -4957?\n\"Answer: -o**3 + o**2 - 796*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23519 and -25.046.\nAnswer: 23493.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -156, -237?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 23 = 5*z - 73, 3*z - 5 = -2*n. Let w(p) = 2*p + 20. Let x be w(z). Solve 5*j - 5 = -x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -15 - (969 + -1015)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 94 - 30 - 9*z - 29 - 35. Let b(j) = 16*j**2. Determine o(b(i)).\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 66 = 3*z, 4*z + 48*r = 50*r + 76. Solve -2*a - 4*w - 2 = 0, -a = -0*a - 5*w - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8827 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 + 1077*x**4 + 6615*x**3 - 16449*x**2 + 8760*x = 0 for x.\nAnswer: -8, 0, 1, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.904 + 0.363. Let y = 4.349 - d. Round y to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s**2 + 286*s + 933. What is y(-20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, 5\/4, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 + 42*x**2 - 74*x - 521. Determine w(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 31 - 137 = 0. Let h = 213\/4 - y. Let t = 9387 - 9374. Sort t, -3, h, 1.\nAnswer: -3, h, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39236293 and 5276?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383491 divided by 10561?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1077, 4017, 8843, 15555, 24153, 34637, 47007?\nAnswer: 61263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:15 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/8)*x)\/(((x*x*x*(x*x*x*x**(-7\/5)*x*x*x)\/x*x)\/x)\/x) assuming x is positive.\nAnswer: x**(-169\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 6. Let p be w(-7). Suppose 506 = -6*s + 1946. Let k = 245 - s. What is the greatest common divisor of k and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5129471 is divided by 1709822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2554022l to millilitres.\nAnswer: 255.4022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/5380?\nAnswer: -9\/5380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let x = -7 - -9. Let k(w) = -w - 2*w + x*w. Determine z(k(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 3 - 10) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11187860922.26 less than 0.5?\nAnswer: 11187860922.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 46. Let p(g) = -5 + 4 + 24 + 75*g - 145*g + 72*g. Calculate -4*i(z) - 9*p(z).\nAnswer: -2*z - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 52714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -78 - -678 - (14\/(-12) + 1). Let d = 15595\/26 - z. Calculate the common denominator of d and -65\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9))\/(4\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4160, 7572, 10984?\n\"Answer: 3412*n + 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -19529?\nAnswer: 1952d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0637 - 4.9363. What is the closest to 2\/5 in 5, -2\/7, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.549 + -0.449. Let k = 0.6 + -0.6. What is the closest to 0.2 in k, 13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -123*j - 1. Let y be a(-1). Let x = 124 - y. Suppose -2*s = 4*u - 10, 6*u = 3*u. Solve -1 = x*v + s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-1 + 2*d + 1) + 2516*d - 1282*d - 1935*d.\nAnswer: -699*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 40)*(8\/28 - 30\/56).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 y, and 1 r when four letters picked without replacement from {g: 3, y: 3, r: 3, p: 4}.\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 6. Put -1, -4, w in descending order.\nAnswer: -1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.4 - -38.3. Let n = -861943001 + 861942985.10000226. Let r = n + h. What is r rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/12*(-5 + 3)\/(-8). What is the nearest to 3 in 0.4, -1\/8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {s: 2, q: 1, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5629389 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40094*t**2 - 8653 with respect to t.\nAnswer: -80188*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507 = 334*n - 507 + 1336 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098889 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: Simplify ((t\/(((t\/(t*t*t**(-4\/5)))\/t)\/t))\/t*t*t*t*t)\/t*t\/(t**(-4)\/t*t)*(t*t\/t**(1\/2)*t)**(-42) assuming t is positive.\nAnswer: t**(-474\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b + 8. Determine k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2445 - -2460. Is 11\/8 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 9. Let o be g(9). Let h be (5\/2 - -2)*8. Suppose 4*b = -o*b + h. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p**5 - 376436*p**4 - 11*p**3 - 2*p - 74687228 wrt p?\nAnswer: -80*p**3 - 4517232*p**2 - 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 520817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 50508510 to the nearest ten thousand.\nAnswer: 50510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/(-10948))\/(8\/(-16)*(-1 - 1)*1).\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 4177833.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -170322378 * -2\nAnswer: 340644756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 326558\nAnswer: -653116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3229446817 or 3229446818?\nAnswer: 3229446817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(-6) - 4\/(-6). Let w be (f\/2)\/((-12)\/(-8)). Find the third derivative of -3*c**3 + 3*c**3 - w*c**4 - 4*c**2 wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 116 = -56*p. Let l(o) be the first derivative of 4 - 3*o - 5\/2*o**p. What is l(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)\/x**(-2))\/((x**(2\/25)\/x)\/x**1) assuming x is positive.\nAnswer: x**(319\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*r**3\/4 + 14843*r**2\/4 - 15151*r\/4 + 645\/4 = 0 for r.\nAnswer: 15\/337, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 - 2*z - 2. What is b(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12))**(-43)*(t\/((t\/(t*t*t**(3\/20)*t))\/t))\/t**(-1\/16) assuming t is positive.\nAnswer: t**(41617\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 379, -2\/11?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775 times 0.01?\nAnswer: 17.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450*j**3 + 28*j?\nAnswer: 2700*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 8:27 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -28*n + 12. Let s(q) = -9*q + 5. Let p(c) = -3*f(c) + 8*s(c). Let d(v) = -6*v - 2. What is 5*d(y) + 3*p(y)?\nAnswer: 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/5, 0.1, 2\/7, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -268.874 - -268. Let u = x - -0.75. What is u rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -309 + 318. Suppose -a*i + 28915 = 3832. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 41, 77, 139, 233?\n\"Answer: i**3 + 4*i**2 - 3*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158124?\nAnswer: 2, 3, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/7 - 1917396*g\/7 + 65193776\/7 = 0. What is g?\nAnswer: -958732, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/372947 and 67\/298.\nAnswer: 745894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51464 in -74, -0.01, -0.4?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-396)\/80 + 5)\/6. Let m(s) be the second derivative of 0*s**2 - 8*s + 1\/80*s**5 - 1\/48*s**4 - 1\/24*s**3 + n*s**6 + 0. Factor m(h).\nAnswer: h*(h - 1)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503 (base 12) to base 3\nAnswer: -222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 339 = 2*f - 288, -933 = -3*f - 4*z. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(27\/450)\/3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -19. Let r be 43\/v - 2\/(-9). Suppose -r*k + 599988 = -3*w, 3*k + 3*w = 2*w + 360004. Round k to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92610 divided by 46305\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 3. Let l be r(6). Suppose -m - 173 + 610 = 3*w, -5*w = l*m - 731. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 - 140. Solve 2*v = -c*v + 4*k + 4, 3*k = -3*v - 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*o + 34 = 0, 8 = 4*o - 8. Find the common denominator of (-1466)\/44 - 4\/j and 2\/((-2)\/(-34)*-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 48, 628?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(10\/5 + -1). Let i(h) = -h**3 + 6*h**2 - 5*h + 3. What is i(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2634*a**2 - 16446 with respect to a.\nAnswer: -5268*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 667.\nAnswer: -57\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + a + 30 = 0, 0 = 24*p - 15*p - 15*p + 2*a - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107263388471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)\/j)**40)**(8\/5) assuming j is positive.\nAnswer: j**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12571 and 2197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 287775 >= 287779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3418*v + 1160*v + 1144*v + 1135*v - 449)*(0 - 4 + 2).\nAnswer: -42*v + 898","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/8784 and 109\/5856.\nAnswer: 17568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -867.4709109079 - -0.15\nAnswer: -867.3209109079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(2 - 2*g - 2) + (2 - 1 + 0)*(-3*g - 2*g + 3*g) + 6*g - g - 2*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2596, 10598, 23936, 42610, 66620?\n\"Answer: 2668*i**2 - 2*i - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 23*h**5\/20 + h**4\/12 - 7*h**2. Let t(q) = -1167 - 16*q + 1167 + 16*q - q**2. Calculate t(m(u)).\nAnswer: -4761*u**4 - 276*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.764 - 6.6. Let y = -1 + 1.1. Let l = y - h. What is l rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Sort j, 1, 0 in decreasing order.\nAnswer: j, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2))\/(2\/(-4)). Suppose -4*j = -v - 9. Suppose c - j*o = -4*o + 7, -2*o = -6. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*c = 7*c - 15, 0 = 5*c - 15. Suppose 4*x - 4 = 2*x. Let q(k) = -k**3 + 3*k**2 + 3*k - 3. Let z be q(3). Solve j = -x*u - u - z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207575 = -517*t + 230323 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 2056592.\nAnswer: -25\/2056592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnug when four letters picked without replacement from {u: 3, n: 6, g: 8}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert b135 (base 15) to base 4.\nAnswer: 21020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 389*b + 964. Let z be x(-2). Calculate the highest common divisor of z and 3038.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15640.44716 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -186*k**2 + 752*k - 19. Determine g(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -w, 4*w + 11 = 5*l. Suppose -r = 63 - 57. Let j be -5 - (-10)\/(-4)*(r - 0). Solve -m = -l*m - j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from {y: 4, j: 5, e: 8}?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 19038\/287 and 65 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 11. Let s be u(-5). Let o(x) = x**2 + 4*x + 4. Let t(q) = 6*q**2 + 21*q + 21. Let d(b) = s*t(b) - 21*o(b). Let v(r) = r. Calculate v(d(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 3*j + 2. Let m be f(-3). Suppose -3*t + 266 = m. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:00 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5, 6*l - 2*l = 5*i + 15. Let j = l + 0. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339034, -678066, -1017098?\nAnswer: -1356130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -z - 2, 4*h = 45*z - 42*z + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3507007 to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2450 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5*q = -15*h + 12625, 0 = 5*h + 4*q - 12622. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007622208 rounded to 7 dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y**4 - 16*y**3 + 39*y**2 - 13*y. Let b(a) = 8*a**4 + 8*a**3 - 20*a**2 + 6*a. Let x(d) = 5*b(d) + 2*g(d). Factor x(l).\nAnswer: 2*l*(l - 1)*(l + 2)*(5*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17901 is divided by 129?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*j = -23, 4*f - 8*j = -11*j - 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - a**3 + 0*a**3)*(5 + 2 - 4).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.95 - 29. Let b = w + -1.1. Let q = 11.85 + b. Round q to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from srsrsffassssfsrsrs?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.9, -1\/6, 3\/5 in ascending order.\nAnswer: -1\/6, 3\/5, 8.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(80) + (sqrt(80) - (-2 + sqrt(80)))**2 + -2)*-6.\nAnswer: -96*sqrt(5) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42612951?\nAnswer: 3, 23, 617579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -276985 bigger than -276989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-7))\/((-9)\/63). Let t(y) = -4*y + 4. Let w(s) = 4*s - 3. Let g(c) = k*t(c) + 4*w(c). Let p(m) = -3*m. Give g(p(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3\/(t**(-1)\/t))\/((((((t*t**(2\/13))\/t)\/t)\/t)\/t)\/t**(-10)))**(-11))**(1\/15) assuming t is positive.\nAnswer: t**(308\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.048 + -16. What is o rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 + 0.91. Which is the closest to 1? (a) -5 (b) j (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -864 - -1689. Suppose -4*q - q + x = 0. Let t = -91 + q. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3041 (base 5) to base 7.\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/21 - (4854\/(-21))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 14 = -g - 119, l + 49 = 2*g. Let x be (-24)\/(-9) - 3*5\/l. Solve 5 = 2*r + x*b, 3*b + 5 = 5*r + 8*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 12\/2 - -4. Let s(r) = r**3 - r**2 + 2*r + 17. Let t = -16 + 26. What is the remainder when s(q) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u. Let x(y) = -7*y**3 - 4*y + 1. Suppose -p + 7 = -2*v, -2*p - v + 0*v - 1 = 0. Calculate p*x(i) - 5*c(i).\nAnswer: -2*i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.21 - 0.01. Let y = t + -2. Let g = y - 0.1. Put -5, -3, g in decreasing order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = -35*n + 252 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 719002?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3346 + 130537\/39. Let n = 107\/663 - o. Find the common denominator of n and 18\/5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 18 = 4*k, -k = -2*k - 5*f - 7. Suppose 0 = k*b + 16 + 26. What is the tens digit of 8\/((b\/(-4))\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/56 - 3\/(-6). Sort 3, m, 12 in increasing order.\nAnswer: m, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 3514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/((sqrt(72) + sqrt(72) + 2*sqrt(72) + sqrt(72))\/sqrt(12)) + (-1 + sqrt(175) - (sqrt(7) + -1 + sqrt(343) + sqrt(343))))**2.\nAnswer: 16807\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(((-50)\/(-15))\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/13 - -150\/91. Let l = u + -9\/28. Find the common denominator of 77\/18 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 28 = -k, 2*k + 134 = 7*k - 2*s. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(4 + -5 + -1*4*sqrt(2299)*-1))**2.\nAnswer: -3168*sqrt(19) + 1324260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -17*q - 1 + 5 + 0 - 3. Let c be j(1). Let o = -6 - c. Calculate the lowest common multiple of 2 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 7*i**2 + 5*i + 8. Let v be o(6). Let y be 3 - 0 - 0\/v. Suppose -16 = -4*l - 0, y*l = 3*s - 39. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 581.9693 + -622.97. Let u = l + 41. Round u to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l = 51. Calculate the remainder when 149 is divided by l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/((-3)\/30). Let w(f) = -f**2 - 18*f + 24. Let a be w(-18). Let z = 47\/2 - a. What is the second biggest value in 3\/4, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (8 + 16 + (-1 - 12))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13527*v**2 + 38 - 13528*v**2 - 47*v + 8*v + (-2 - 1 + 1)*(v**2 + 0*v**2 - 3*v**2).\nAnswer: 3*v**2 - 39*v + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Let l = -4 + 1. Let t be (-2)\/7 + (-3)\/63. What is the smallest value in p, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.5, -92.06, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/2 + (-1159 - -1179)\/((-2)\/8).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 14*j**2 - 15*j + 39. What is the smallest common multiple of 12 and n(12)?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16444 + 1?\nAnswer: 16445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(60\/((-48)\/(-4))*1\/(-6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -9, 1 in ascending order.\nAnswer: -9, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/13 (b) -0.1 (c) -2\/13 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/20 - 4\/(-10). Suppose 0*u + u - 20 = b. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -625 equal to -3132\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10010001 (base 2) to base 10\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 261809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.028 and 1596?\nAnswer: 44.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o - 6. Let m(d) = d - 1. Let b(f) = j(f) - 5*m(f). Determine b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 5*a**2 - 17*a + 21. Let n be v(3). Is 3\/((-12)\/26434*n\/78) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68448 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245220.\nAnswer: 2, 3, 5, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*((-12)\/105)\/(1095\/(-146)*(-8)\/50).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.02 (b) -3\/2 (c) 0.1 (d) 117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 75253, 75329, 75449, 75613, 75821?\n\"Answer: 22*a**2 + 10*a + 75221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 + 6*x**2 - 3*x + 1. Let o(n) = -n**3 + 2*n**2 - n + 1. Give -3*o(r) + t(r).\nAnswer: -r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98629 or 98592?\nAnswer: 98629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0 - 15*k + 0*k**2 - 11\/3*k**4 - 9\/7*k**7 + 0*k**6 + 0*k**5 + 0*k**3. Find the third derivative of s(a) wrt a.\nAnswer: -3240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Let y be (t - 5)*9\/(-15). Suppose 0 = -y*j - 0*j + 18. 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: Find the second derivative of -46693*b**3*m**2 - 2*b**2*m + 7879*b**2 + 49*b*m**2 - 221*b*m - 5727*m**2 + 2*m wrt b.\nAnswer: -280158*b*m**2 - 4*m + 15758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0065 + -0.416314292382.\nAnswer: -0.409814292382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/4 + (-235)\/20*-10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 7*f - 3. Let p be g(-9). Suppose -p*o = -14*o - 17. Suppose 5*d - o = 8. Solve -d = x - z, 0*x = 3*x + 2*z + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42\/5? (a) 39.3 (b) 17 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56222 - 24?\nAnswer: 56187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -159?\nAnswer: -15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6268*d**2 - 39*d + 189. Let l(o) = -3134*o**2 - 19*o + 92. Let x(g) = -5*l(g) + 2*z(g). What is the second derivative of x(v) wrt v?\nAnswer: 6268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306097 is divided by 236.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -658 times 4\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 750 divide 19153500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -7, 0.14, 4, -0.01?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -78. Let g be 0 - (12\/(-14) + 1). Put g, -3, t in decreasing order.\nAnswer: t, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7352 times -8?\nAnswer: -58816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45287 - -93186. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106989 and 0.6?\nAnswer: 64193.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624 is divided by 374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + t - 56 + 18, 4*t + 16 = 0. Let c(b) = -b - 14. Let p be c(k). Suppose p = 5*w + 11 - 76. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8081, -31789, -71131, -126101, -196693?\nAnswer: -282901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4 + 122*g**3 - g**2 - 122*g = 0?\nAnswer: -122, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 434 and 6944?\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(20)\/sqrt(4))*-4.\nAnswer: -24*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 35 + 3. Solve 5*i - 2 = -a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 - 2 = 0. Suppose a*z = -z. Solve -2*j + 3 = 3*w + j, -4*j + 12 = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 - -1 - (292 - 288) - (-37 + 15).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) 0.5 (c) -2651\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/80)\/((-16)\/4416*-23)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**3 + 7*h - 15. Let c(w) = w**3 + 2*w - 5. Suppose 0 = 79*s - 92*s + 23 + 3. Calculate s*b(k) - 7*c(k).\nAnswer: -k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*j**3 - 1076 + 341*j**3 + 1074.\nAnswer: 160*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 - 15 = 0. Suppose -4*p - i + 48 = 0, -w*i + 12 = p - 3*i. Calculate the highest common divisor of 120 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50510\/9 + -5612. Which is the nearest to q? (a) -2 (b) 2\/13 (c) 405 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 57, 46, 31, 12, -11, -38?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107 in 57, 0.1, -2961?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/60 - l**4\/24 + l**3 + 6*l**2. Let r be (-36)\/(-16)*16\/(-6). Let t(i) = i + 6. Let u be t(r). Calculate m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46800 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21104262*l**6*r + l**4*r**3 - 411*l**2*r - 106085*r**3 wrt l.\nAnswer: 2532511440*l**3*r + 24*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 - 259 + 138)*(-k**4 + 4*k**4 - 5*k**4) + 10*k**4 + 129*k - 129*k + (-2*k**2 + k - k)*(k - k - k**2) - k**2 + k**4 + k**2 - 5 + 2*k**4 + 5.\nAnswer: 477*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:32 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -29245\/6 at most as big as -4874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180208?\nAnswer: 2, 7, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -20, 283, 0, -9, -5 in decreasing order.\nAnswer: 283, 1, 0, -5, -7, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 l when four letters picked without replacement from {j: 3, d: 4, l: 2, f: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 4 + 1)*((0*g**2 + 3*g**2 - 2*g**2)*(2*g**2 - 3*g + 3*g) + 1 - 1 - 3*g**4) in the form n*g**2 + z*g**3 + y*g + i + u*g**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, 0.02, -1\/303 in ascending order.\nAnswer: -2.6, -1\/303, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:15 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 5. What is the highest common factor of p and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 7.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2634, -0.4, -5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-74 - (14 - 100))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110010001001 (base 2) to base 15\nAnswer: e3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 657187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 63 + 0*l - 3*l + 4 - 4*l. Let d be t(9). Solve 8 = -d*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1206 and 5427.\nAnswer: 10854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -112. Let q be (2 + -4 + 1)*1. What are the prime factors of 815\/w - q\/4?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -247, -241, -235, -229?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89693964 * -0.4.\nAnswer: 35877585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 14*w**2 - 2*w + 10. Determine k(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3560\/6 - 90\/(-135). Let l = -589 + x. Solve 0 = -0*d + l*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 6. Suppose 0 = 6*s - 12*s + 6. Suppose -n = -0*n - s. Let y(t) = -t - 1. Let l(r) = -r. Let j(c) = -2*l(c) + y(c). What is n*b(o) + 6*j(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 9:19 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012101611389 to 6 decimal places.\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/11 - (-149384)\/354552. Let g be (-5695)\/(-1659) + -3 + 6\/(-14). Let m = z - g. Is m at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80.16 - 84.663. Let t = u + -0.497. Let p = 0.4 - -0.1. What is the nearest to -14 in t, p, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*d**3 - 14787*d**2 + 14665809*d wrt d.\nAnswer: 654*d - 29574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.8. Let h = -2.9 + 1.3. Let u = h - -2.1. Put u, -0.3, s in increasing order.\nAnswer: -0.3, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6166 + 3504. Suppose 5*r + 8 = -2*z + z, 5*z + 5*r = 0. Let l be f\/(-7) + z\/(-7). What is l rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -5, -1, -14 in decreasing order.\nAnswer: 1, 0.2, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12122120131 (base 4) to base 13\nAnswer: 46b13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 2, 3, -0.3681?\nAnswer: -0.3681","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2755000*c**2*g*o**2 - 2*c**2*g + 5*c**2*o - c*g*o**2 + 2*c*g - 5*c*o**2 + 414*c - 76*g wrt c?\nAnswer: -5510000*g*o**2 - 4*g + 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.25*1.98821.\nAnswer: -6.4616825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 87\/9 + 1 + (-6)\/9. Differentiate 22 - 1 - q*a**3 + 2 wrt a.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-1\/63)*((t*t*t**0)\/t)**(20\/11) assuming t is positive.\nAnswer: t**(1249\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 12:39 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4*(-2*sqrt(66) + sqrt(66) + sqrt(66)) - (3*-2*sqrt(66) + sqrt(66))))\/(-5*(sqrt(66)\/(sqrt(33)\/sqrt(3)) - sqrt(864)*-1)).\nAnswer: sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*j + 4 - 4 + (3*j + j - 2*j)*(3 - 1 - 1)*((-4 - 4 + 6)*(3 - 1 - 4) + 1 + 0 + 1).\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - l + 2)*(2*l + 3*l - 3*l) + 3*l**2 + 8*l**2 - 8*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkx when three letters picked without replacement from xlxwugkwgwklwwwwgwu?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**3 - 6*x**2 + 10*x - 7. Let k be n(1). Is k at least 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.075 in 5, -0.4, -4, 11, 4\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250277, 250294, 250311, 250328, 250345?\nAnswer: 250362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*r**3 - 39*r**3 - 60*r**3 + 179*r**3 - 30*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51\/563 - 468826\/1689. Let v = l + 280. Let q = v - 5\/6. Sort q, 1, 2\/3.\nAnswer: 2\/3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250547498 is divided by 721?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44816 is divided by 6285.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 5*u**2 - 4. Let a be c(4). Let l be ((-4)\/27)\/(8\/a). Let p = -0.3 - -0.4. What is the nearest to -2\/7 in -0.4, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -2569a?\nAnswer: -25699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5*i**12)\/(i\/(i*i**(-1\/5)\/i)*i)**(15\/2))**6 assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/42)\/(-12*40\/(-105840))?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -3710115?\nAnswer: -3710115.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let q(u) be the second derivative of 2*u**2 - 1\/3*u**4 + 2\/3*u**3 + 2*u + 0. Suppose 90*p = -5 + 447 - 82. Give p*s(t) + q(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 179 - 185. Put 1\/6, -0.1, d in increasing order.\nAnswer: -0.1, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93052 and 5951.\nAnswer: 1023572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 98 - (97 - 135 - -128)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53091\/7 - -7585. Let i be ((16\/2)\/(-2))\/1. What is the biggest value in i, r, -5, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2573*h + 2518*h - 220 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6093 - 6092 - 6093 - 73*d**2 - 6097 + 24375.\nAnswer: -73*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 239289912 and 25770.\nAnswer: 5154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143 + 144 - 24*c**2 - 274 + (2 - 3 + 2)*(-c + c - 2*c**2).\nAnswer: -26*c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.556 to 0 dps.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4299?\nAnswer: 1\/4299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 13) to base 11\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-35) + 1600\/(-1625).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 132\/13. Which is the second smallest value? (a) 5 (b) s (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 + 45 + 44*v - 43 - 14*v - 4*v**3 - 2*v**3 wrt v.\nAnswer: -12*v**2 - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 17\/8461679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 23?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 1. Let t be h(3). Find the common denominator of ((-5)\/(-2))\/((-4)\/t) and -5 + (-4)\/(-6) + 3197\/483.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 340119 = -12*o + 11*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/3163 - 56917\/53771. Suppose 3*f = 3*o + 6, -f + 15*o - 12*o = -10. Which is greater: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 36*q**2 - 1834*q - 96. What is m(51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 14 = 3*s. Let p = s - 8. Let m be ((-6)\/4)\/(2\/(-8)). Solve -4 = p*v - g, -4*v - g = -m*g + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 50 + 2731*y**2 + 2*y**3 - 2731*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/5, -0.08, 4\/3, 0.7, 0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2\/11 (c) 0.4 (d) -12.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3243352 plus 9653.68?\nAnswer: -3233698.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 704, 1307, 1808, 2207, 2504, 2699?\n\"Answer: -51*k**2 + 756*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:45 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20022363 * -4.\nAnswer: -80089452","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**2 - 3*r**2 - 13 + 5*r - 10 + 26. Calculate u(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062297 not equal to 3062297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/9, 3, -5\/3, 4, 419\/5.\nAnswer: -5\/3, 23\/9, 3, 4, 419\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a2750 + 6?\nAnswer: -1a2747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:15 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-2))\/(-2)*(-44)\/44?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1484723, 1484724, 1484725, 1484726?\n\"Answer: m + 1484722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.038 * 201827\nAnswer: 7669.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -54028 divided by 4?\nAnswer: -13507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697955?\nAnswer: 3, 5, 7, 103, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvgvgv. What is prob of picking 3 v?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1347*a + m + 2 = -1346*a, 4*m = 20*a + 23 + 49 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(1700)*4)**2 + (sqrt(1700) + 0)**2*-2 + sqrt(1700)) - (sqrt(51) - ((sqrt(51) - sqrt(1275))*-5 - sqrt(51)))\/(sqrt(363)*-1).\nAnswer: 202*sqrt(17)\/11 + 210800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c + 7. Let b be (1\/(-2))\/((-3)\/(-36)). List the prime factors of d(b).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7472*(7*8\/588 - 118\/(-84))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 282, -5, -780, 7, -46 in decreasing order.\nAnswer: 282, 7, -5, -46, -780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -21*w + 9. Suppose w*v = 6*v - 348. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2\/7 (b) 3 (c) -62.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 + -151. Calculate the remainder when 41 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1222 and 28858.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*n + b + 9, 5*b = -5*n - 30 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2194 divide 1148940756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)*(-4 + 6\/4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.3, 1, 1\/293, 63\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -99*d**5\/20 - d**4\/12 - d**3\/6 + d**2 + 85*d - 14. Calculate v(1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110837 - 57368. Suppose -2*l - 7*l = -j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1)*(3 + 0 + 2) + (163 - 84 - 98)*(-3*j + 9*j + 0*j) - 3*j - 2*j + 3*j.\nAnswer: -111*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(((sqrt(153) + 4 + sqrt(153))*-4 - (sqrt(153) - (sqrt(153) + 0))*3) + -2) + 0).\nAnswer: -192*sqrt(17) - 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 486 - 456. Suppose w*q - 998021 = -31*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 4*j**3 - 3*j**3 + (-2205 - 117*j**2 + 2205)*(j - 2 + 2) - 8*j**3 + 5*j**3 - 10*j**3.\nAnswer: -131*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 3. Let w(j) = -17*j**2 - 15*j - 3*j**3 - 15 - 1 + 2*j**3 + 37. Let v be w(-16). Let i(x) = x**2 - 5*x - 6. What is v*y(g) + 2*i(g)?\nAnswer: 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -65, -5\/6, -0.2 in ascending order.\nAnswer: -65, -5\/6, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 6. Let a be (3 + 0 + -7)\/1. Is a bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4 - 648*r**3 - 16857396*r**2 + 29566227960*r - 14235356127294 = 0. What is r?\nAnswer: -3483, 1269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.081 + -0.081. What is the closest to 0.06 in i, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 28\/(-8))\/((-9)\/15)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -110*v**2 + 4*v - 4. Let d be u(3). Let c = -170 - d. Is 46 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -12*i - 66. Let q be -1*(-7)\/(-42)*i\/(-2). Put -0.5, -5\/4, q, 18 in increasing order.\nAnswer: -5\/4, -0.5, q, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 times 105.0038\nAnswer: 357.01292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 335 + -3 + 7 + -8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = 0, -4*k + 306 = -c - 0*c. Let m(v) = v**3 - 187*v**2 + 908*v + 375. Let j be m(182). What is the highest common factor of k and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290568332.\nAnswer: 2, 31, 2343293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/21)*p\/(p*p\/(p*p*(p\/(p\/(p*p**(-2\/25)\/p)))\/p)*p))\/((p*p*(p\/p**(2\/7))\/p*p*p)\/((p*p**(-2\/11)\/p)\/p)))**(2\/61) assuming p is positive.\nAnswer: p**(-71224\/352275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 2, u: 5, k: 2, q: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k = 0. What is the tens digit of 4 + k + 3 + 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35273730666668449\/168470 + -209376925665. Let a = -4\/4955 - b. Calculate the common denominator of a and 47\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -269 (base 11) to base 5.\nAnswer: -2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 5*t**3 + 3*t**3 - 2 + 3*t**2 + 3*t. Give z(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4825997 divided by 438727.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596 + 132 - 6876*l**3 + 131 + 128 + 205.\nAnswer: -6876*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384980538?\nAnswer: 2, 3, 17, 73, 149, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 514 and -44263?\nAnswer: -22751182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2. Let i(p) = -3*p - 45850. Give i(m(s)).\nAnswer: -3*s**2 - 45850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236 = 141*t - 200*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6473000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*n**3*o**2*s**3 - 23691*n**3*o**2 + 12*n**3*s - 493*n**2*o*s**3 + 2*n**2*o*s - n wrt o.\nAnswer: -14*n**3*s**3 - 47382*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6084*p - 8376*p + 4687*p + 2098*p - 9825*p as q*p + s and give q.\nAnswer: -17500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -384886056 - 18.4\nAnswer: -384886074.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = -19*g - 7. Solve 3*a + 0*d - 1 = d, 0 = a - 2*d - g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107068 and 124108.\nAnswer: 46788716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043409227 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5689188 * 339.\nAnswer: -1928634732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -199, -1, -3\/8, 1\/6, -93?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -7\/3*u**3 + 18 - u**4 + u + 69*u**2. What is the first derivative of f(j) wrt j?\nAnswer: -24*j - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/281, 21\/2, 4120 in decreasing order.\nAnswer: 4120, 21\/2, 2\/281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**2 + 463*l - 728. Determine k(65).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811139904?\nAnswer: 2, 3, 17, 82837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11403, 22799, 34189, 45573?\n\"Answer: -3*p**2 + 11405*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i**2 - 4*i - 4. Let p be t(-2). Let c = p - -55. Calculate the remainder when 2 is divided by (-1)\/c + 5*7\/35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 + 1211?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Let h(c) = 2*c**3 + 2*c**2 - 2*c - 3. Let k be h(-2). Let r(b) = -b**2 - 7*b - 5. Let u be r(k). Sort y, -4, u in descending order.\nAnswer: y, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.347233 rounded to 3 dps?\nAnswer: 0.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 8:21 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3505e8 (base 15) to base 16.\nAnswer: -26a4f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -71, -245, -581, -1133, -1955?\nAnswer: -3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**4\/6 - 35*j**3\/2 + 1960*j**2\/3 + 5920*j = 0.\nAnswer: -37, -8, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 6352092?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + -1. Let u = 12 + a. Let b(g) = 3*g + 4 - g**3 + 2*g**2 + u*g - 4*g - 3. Determine b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**3 - 121719*z**2 + 508405*z.\nAnswer: -12*z - 243438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let p(j) = -3*j + 9. Let w(g) = p(g) + 2*q(g). Let c be w(5). Suppose a - b = 71, b + c*b + 136 = 2*a. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5715*f - 2072*f + 3910*f in the form v*f + d and give v.\nAnswer: 7553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.753 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a**2 - 2*a**2 - 2*a**2)*(23*a - 5 + 0 - 20*a) to l*a**3 + y*a + b + v*a**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -26 + (13 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1876, 1751, 1626?\n\"Answer: -125*i + 2001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -74, -168, -226, -230, -162, -4?\n\"Answer: 3*c**3 - 115*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*k = -186, 5*k + 22 = 7. Calculate the smallest common multiple of r and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100000110111100000 (base 2) to base 7.\nAnswer: 22512240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8840?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 113967750 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let j = -1.24 + -4.76. Let w = y - j. What is the third biggest value in 3\/5, -0.08, w?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2457710, -4915375, -7373000, -9830591, -12288154, -14745695?\nAnswer: -17203220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1143533 (base 6) to base 13.\nAnswer: -216a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23618992 to the power of 1\/2, to the nearest integer?\nAnswer: 4860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -11)\/(-24 - (-3400)\/140)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45367.\nAnswer: 7, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31529 + -44.\nAnswer: 31485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 14*b + 1. Let s(h) = -h**2 + 4*h. Let a(j) = -7*s(j) - 2*t(j). Let m(c) = -4*c. Determine a(m(p)).\nAnswer: 80*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-8)*q**(-1\/9)*((((q\/(q\/(q*q\/(q**3*q)*q)))\/q*q)\/q)\/q)\/q**3*(q\/(q**(3\/7)\/q)*q**(-5)\/q)\/(q\/q**4*q\/(q*q**(4\/5)\/q)) assuming q is positive.\nAnswer: q**(-4958\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -b, -2*b - 1 = 3*i + 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 15) to base 13.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6063 and 114915?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 156, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 12:28 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/4)\/f*(f\/f**12)\/f*f)**(-19\/5) assuming f is positive.\nAnswer: f**(1007\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11782 - 11785. Which is the nearest to -105? (a) -4 (b) z (c) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -526 - -929. Calculate the greatest common factor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fduf when four letters picked without replacement from udffdfdufffdfdfud?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzkw when four letters picked without replacement from gqqkwwrqkkzrwr?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 1 + (17 - 15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-36))\/(25\/6)*5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/8 and 40\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 27.7. Let d = l - -2.1. Which is the nearest to 0.1? (a) -2\/13 (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5748.2 or 2?\nAnswer: -5748.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 7*x**2 - 7*x + 9. Let b be a(-8). Let n be (b + -2)\/(1\/(-2)). Is 25 a factor of 1\/(-1) + n + 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = -2177 - 1483. Let w = -179 - c. Solve w*p - 8*p = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 1\/24*o**4 + 0 + 0*o + 131*o**2 + 0*o**3. Let u(f) = -15*f. Determine d(u(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 - (-3 - -3 - 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1280534?\nAnswer: 2, 640267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 24, 62, 108?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/3*i**2 - 14\/3*i**3 - 16\/3*i + 8\/3.\nAnswer: -2*(i + 1)*(i + 2)*(7*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 31. Give o(21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/1)\/1 + (-4)\/(-2). Suppose -a - 5*o - z = 6, 2*a + 5*o + 4 = 0. Solve 3 + 7 = -4*j + 2*u, a*u + 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 36173*j - 36177*j - 128, -3*m - 2*j - 92 = 0 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*f**3 - 3*f**2 + 2*f - 17165.\nAnswer: -66*f**2 - 6*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(13) - (sqrt(143)\/(sqrt(44)\/sqrt(4)))**2.\nAnswer: -13 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y + 34*y = -18. Suppose -4*f - 7 = 5, 0 = -3*m + y*f + 35340. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 1. Let q(m) = -45*m - 350. Let w(p) = -g(p) - q(p). Is w(33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 38*y**2 + 3*y + 37. Let i be r(6). Suppose 2*p + 2*j = 4*j + 1422, -2*p = -3*j - i. List the prime factors of p.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 14 + 31. Let s = -22 - z. What is s rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 53 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 43.62527, 0.1, -1.\nAnswer: -1, -0.4, 0.1, 43.62527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-100))\/(21\/(-10))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 575916628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1336 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = 0, 0 = i - 3*p - 9114 - 8611. Suppose 12*q - i = 5588. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-3\/19)*a*a)\/(a\/a**(-9\/8)))**25 assuming a is positive.\nAnswer: a**(10325\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 17*q = 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2 - -7*1. Let l be (-2)\/n + (2 - 2). Let w be (-18)\/63 - (-24)\/35. Which is the nearest to l? (a) w (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380900 is divided by 2164?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 3. Let q be x(0). Let w(h) = h**3 - 9*h**2 + 11*h + 2. Let a be w(7). Let v = a - -16. Is q at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 7. Let z be j(7). Let s(h) be the second derivative of 1\/2*h**2 + h - 1\/6*h**3 + 1\/20*h**5 + 1\/12*h**4 + 0. What is s(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {l: 3, q: 1, d: 8, z: 2, v: 1, s: 5}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*p - 383 + 404, 5*m - 52 = p. What is the smallest common multiple of m and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2651481326 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let h(s) = s - 8. Let p be h(12). Let m(j) = -p + 3*j**2 + 7 - 3. Calculate m(o(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15 - 0)\/(59\/(-295))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*287\/(-123)*2\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1*(1 + -3). Suppose d*l + 3*l = 3. What are the prime factors of (2 + l)*(2 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -35*n - 7. Let l(y) = -1. Let g(h) = 3*l(h) - s(h). Let r be 6\/14 + (44\/28 - 0). Is g(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9747942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 4 + 0*n**3 + 2*n**2 - 1\/24*n**4 + 0*n. Let j(c) be the second derivative of h(c). Let p(q) = -2*q**2. Calculate p(j(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 190 - 278 = 0. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 + -32 + 2 + 0. Let v(a) = 8*a**2 + 11*a - 11. Let t(d) = 3*d**2 + 4*d - 4. Let i(p) = q*t(p) + 4*v(p). Let b(j) = 6*j**2 - 12*j. Give b(i(w)).\nAnswer: 6*w**4 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*d + 48 = 145*d - 4. Solve -2*h - 24*f = -21*f - d, -3*h = -5*f + 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 650772361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*d + 427*d + 177*d + 189*d)*(-189*d**2 - 26316*d + 26316*d).\nAnswer: -135891*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 453 + 3*n + 285 + 168.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1043 and -3.\nAnswer: 0.3129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*i + i + 10, -2*i = 5*w - 20. Suppose 3 = -c - w. Suppose 24 - 4 = -5*t. Put -2, c, t in ascending order.\nAnswer: c, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (762 + 53*w - 762)*(2*w**2 - w**2 + w**2).\nAnswer: 106*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - a + 0)*(4 + 2*a**2 - 4) + 261 + 40*a**3 - 261 - 3*a**3 - 2*a**3 + a**3 - a**3 - 3*a**3 + 5*a**3 in the form y*a**2 + q*a + v + s*a**3 and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 102.83\nAnswer: -10.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by (-6)\/4*(-18 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85320, 85317, 85312, 85305, 85296, 85285?\nAnswer: 85272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 122*m**2 - 2425*m + 2. What is y(97)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -178 - 5*g**4 + 0*g + 10*g**2 - 5\/3*g**3 + g**5. Let u(p) = 0. Calculate p.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11592 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1237*z**2 - z - 2059.\nAnswer: -2474*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -175972*g - 1. Let m(z) = -217*z. What is m(u(l))?\nAnswer: 38185924*l + 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (34\/(-3) + -4)*-57.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrmr when four letters picked without replacement from {r: 3, m: 11}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.3, -1\/5, -2, 0.2, -0.013?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-4) + 1 + 1. Suppose x*t - 2*z = -307, -z = -t + 4*z - 43. Let i = t - -130. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - y - t + 12357, -t = -5*y + 15453. Suppose -6*u = -276 - y. Let j = u - 398. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 49, 66, 79, 82, 69?\n\"Answer: -k**3 + 7*k**2 + k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 t, and 1 k when four letters picked without replacement from {k: 7, r: 3, t: 3}.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 - 1. Let y(i) = -15*i**3 + 4*i**2 - 4. Calculate -4*j(a) + y(a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -31. Let w(x) = -11*x - r + x**3 + 40*x - 7*x**2 - 13*x - 14*x. Let h be w(7). Is h != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29567.0655 rounded to the nearest 10?\nAnswer: 29570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/36*(-108)\/(-27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = h + o - 6, 3*h + 3*o + 6 = 0. Let j be 2*(-2)\/4*h. What is the common denominator of 3\/8*82\/j and 13\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10807855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*g - 1015*g + 6778 = -1222 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*v**3 + 10*v**3 + 13*v**3 + 19*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/23)*((k\/((k\/(k*k**(3\/13)))\/k))\/k)\/k*(k**3)**(-2))**1 assuming k is positive.\nAnswer: k**(-1699\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6322 and 7 - ((-11 - 1)*4 - (-13 - -16))?\nAnswer: 6322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/9 and -65\/10026.\nAnswer: 10026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1100)\/(-44) - (-3)\/((-6)\/(-10)) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**2*q*w - 133840*b**2*q - 26*b**2*w + 3*b**2 - b*q*w + 7*b*q + 784*q*w - 284 wrt b.\nAnswer: -8*q*w - 267680*q - 52*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 1. Let y = o - -3.9. Let d = -14.339 - -13.839. Sort y, 0.9, d in descending order.\nAnswer: y, 0.9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/73743 or -1?\nAnswer: 2\/73743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 27, 9, -66\/5 in descending order.\nAnswer: 27, 9, -4, -66\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 96 = -536. What are the prime factors of n?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -402*l + 14789. Give o(42).\nAnswer: -2095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0262 - 33.0738. Round o to zero dps.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62117*w + 20663*w + 20730*w - 12 + 20726*w.\nAnswer: 2*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1978 is divided by 259?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3433 - -0.6433. What is the nearest to 1\/4 in l, 1, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -523*x + 4. Let t(v) = -v**2. Determine t(r(q)).\nAnswer: -273529*q**2 + 4184*q - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8548, -8537, -8504, -8437, -8324, -8153?\n\"Answer: 2*z**3 - z**2 - 8549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7 - -2) + 12 + 3 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/(((j**(-2\/7)\/j)\/j*j)\/j))\/(j*j\/j**2)**(-13) assuming j is positive.\nAnswer: j**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-123)\/36 - -3)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -612, -2406, -5386, -9552?\n\"Answer: -593*j**2 - 15*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14124915 divided by 134523\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3 (c) 0.16 (d) 8 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041588349 to five decimal places.\nAnswer: 0.04159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-18) - 38807921\/(-9). Suppose 7*w = 20608009 + y. What is w rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223337 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -662 (b) -0.4 (c) -3 (d) 0.12 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -4*q**3 + 47*q**2\/2 - 29*q. What is the first derivative of n(z) wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 15*f + 22 + 78 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/42*340\/(-40)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4880*a + 922342. Calculate n(189).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 71855344405 and -0.2.\nAnswer: 71855344404.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2518347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -56.00000168. Round l to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 23*s**3 - 2*s - 1. Let x be q(-1). Let y = -7 - x. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -27, -44, -81, -144, -239, -372, -549?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-515)\/(-140) + -4)\/(6\/80). Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 406 divided by 14\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -363\nAnswer: -2\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38820229*j*s**4 - 72*j*s**2 - 364178*s**2 wrt s.\nAnswer: 931685496*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000040175 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 330661926?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/2 - (-2)\/(-1). Suppose 20 = j*y + 8. Let g(w) = -5*w - 2. What is the smallest common multiple of y and g(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*g**2 + 611 - 182*g**2 - 611.\nAnswer: -264*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -20*1*3\/(-6). Is (-4)\/(-10) + 126\/c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/60)\/(8\/(-3)*(-81)\/540).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnd when three letters picked without replacement from {i: 1, w: 1, n: 5, k: 2, d: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 79*d**3 - 14*d**2 + 5*d - 353. Let a(t) = 40*t**3 - 9*t**2 + 3*t - 176. Let n(h) = -5*a(h) + 3*f(h). Differentiate n(m) with respect to m.\nAnswer: 111*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 66\/18725 and -44\/4845.\nAnswer: 18144525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 7 + (-3 - 1 + 2)*(2 - 4 + 4))*(9*a + 29*a - 3*a).\nAnswer: -105*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*k = 11, -208*k - 15 = -5*l - 204*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 50 - 21 = -4*x + 25, 3*j = 5*x - 35 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-27))\/(-4*((-15)\/(-2) + -7)). Which is the smallest value? (a) -1\/12 (b) 0 (c) -3 (d) -0.2 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3168521 is divided by 256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-2)\/(-6)*(3 + 180). Let q = -57 + o. Suppose 24 = 4*l - 3*l - 5*t, q = l + 3*t. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150*j - 1154*j + 52 = 0. Calculate the smallest common multiple of 2 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.004 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6006 + 15309. Suppose -15553 = -4*c + p. Suppose 2*x = c + 41786. Round x to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 12:39 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k = -15. Let o = 0.613 - 0.003. Let z = o - 0.59. Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0.3, -2, 12, -1.08?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 639300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-6)*9\/(-15546). Let y = -173581\/20728 - a. Calculate the common denominator of y and -67\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10665*d**3 + 6*d**2 + 158*d - 34. Let z(u) = 10665*u**3 + 4*u**2 + 157*u - 27. Let h(b) = -2*l(b) + 3*z(b). Find the second derivative of h(t) wrt t.\nAnswer: 63990*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*w - 7832 + 482 = 0, 0 = -2*u - 5*w + 2925. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.44864 + 34.248711. Let q = r + -12.8. What is q rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21352661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crtrrrxxcsx. Give prob of picking 1 t, 1 s, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18035.6 - -18035. Which is the nearest to 0.1? (a) r (b) -5 (c) 2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25902984 to the power of 1\/2, to the nearest integer?\nAnswer: 5089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 1 = 0. Let n(r) = -r**3 - 4*r**2 + 3*r + 7. Let g be n(-5). Let c = g - 25. Let x(y) = 2*y + 6. Let o(t) = 1. Determine c*o(z) + p*x(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 + 111*p + 91. What is the remainder when 180 is divided by q(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-1*24\/128*8. Sort 0, 11, 5, -4, x in decreasing order.\nAnswer: 11, 5, 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 9, 3, 1, -41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/90617 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14733032 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72123476471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 682, -103, -10 in increasing order.\nAnswer: -103, -10, 682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -13. Let x(f) = -5 + v*f - f - 5*f. Determine x(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178451 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 6*i**2 - 2*i + 7. Let z be ((-4 - 5) + 7)*5\/(-2). Calculate b(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 - 22 = 0. Suppose 9*p - 12 = 6*p. Solve 5*x + p*m = -m - 40, -2*x - k = 5*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 - 31 = -3*s, -2*s + 3*q + 9 = 0. Let t(d) = -3*d - d**2 + 0*d + 2*d + s - 2. What is t(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/(l**1\/l))\/(l**(2\/5))**(2\/107)*(l**(-1\/8)*l)\/(l\/l**(2\/9)*l)*(l*l\/((l\/(l*l*l\/l**(-1\/4)))\/l*l*l)*l*l*l)\/l*l**(-3\/4) assuming l is positive.\nAnswer: l**(253837\/38520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmhhmmmmm. What is prob of picking 1 m and 1 h?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4. What is the derivative of 0*x - 3*x - k + 2 + 1 wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/((-22)\/66).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 - 52*u - 38. Let h(n) = n. Calculate h(g(o)).\nAnswer: -3*o**2 - 52*o - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 6*m**2 + 5*m - 11. List the prime factors of j(7).\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 103204, 206361, 309518, 412675, 515832, 618989?\n\"Answer: 103157*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98734 = 98733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 803 divided by 5.\nAnswer: 803\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 2256?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2801 - -6?\nAnswer: -2784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**9\/168 + w**5\/60 - 8*w**2. Find the third derivative of j(v) wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d**(1\/2))**(-14)*(((d*d*d**0)\/d)\/d)**(-26)\/(d*d*d**(1\/2)*d)**(-14\/3) assuming d is positive.\nAnswer: d**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -207, -295, -367, -417, -439?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 15*s - 14*s + 40, b = -2*s + 19. Find the common denominator of (-2)\/20*(-1 + -85) and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1369 and 43461754?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3\/5 + 249287*p**2\/5 + 373926*p\/5 = 0.\nAnswer: -124642, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122002202012 + -2?\nAnswer: 10122002202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -50*p + 45*p. Calculate the least common multiple of p and 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d**3 - 54*d**2 + 13*d - 109. Determine i(6).\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3388309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 14 + 150 = 3*d, -5*d + 2*i = -270. Suppose -45*v + d*v - 2583 = 0. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506 a factor of 45210746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -8 + 38 + -37 + 50 + 4.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/11 (b) 5\/8 (c) -4.37 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30210 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(1715)*3 + sqrt(1715) + sqrt(35)))\/(-6*(sqrt(7) + (sqrt(7) - sqrt(63)))) + 0)**2.\nAnswer: 980\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -30 (b) 0.4 (c) 0.07 (d) 0.115 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(35)\/sqrt(5) - sqrt(7))**2*-1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3620113 - 13.4.\nAnswer: -13.0379887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 5, 7, 5.4 in ascending order.\nAnswer: 0.9, 5, 5.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 4*h**2 - 9*h**2 - h**3.\nAnswer: -h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 185891.4 millilitres?\nAnswer: 185.8914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*d = 2329, 0 = f - 5*f + 4*d + 3108. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*s + 2*s = 5582, -4*s = 2*o - 2224. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000048075798 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3403 is divided by 103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07948 or -0.183?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2973.74 + 3080. Let o = -108 + q. Let l = 10.44 + o. What is l rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-99)*3\/((-9)\/(-174)) and 125\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193\/72 - 1\/72. Which is greater: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnpppnppppp. What is prob of picking 1 n and 1 p?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**3 + 23*a**2 + 199*a + 312179.\nAnswer: 9*a**2 + 46*a + 199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146370 + -146369.099986. Let j = -1.95 + 2.85. Let x = j - i. Round x to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 58\/77, -0.1094, -4, -0.3 in increasing order.\nAnswer: -4, -0.3, -0.1094, 58\/77, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let v(f) = 4*f - 10. Let r(g) = 6*m(g) - 2*v(g). Let y be r(4). Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, x: 4, z: 6, n: 2}. What is prob of sequence xznz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*l - 10, -2*l - l - 12 = -5*i. Let m = -10 + 14. Solve q + m = -i*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -272? (a) -5 (b) -2\/13 (c) 0.06 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/20 and 85\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4082, -3659, -3246, -2849, -2474, -2127?\n\"Answer: -o**3 + o**2 + 427*o - 4509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4 + 8. Solve -7 - z = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128416903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (4*6*(-4 + -1 + sqrt(176)) + -5)*-2)**2.\nAnswer: -97920*sqrt(11) + 470525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2. Let g(c) = c**2 + 3*c + 18. Determine g(v(k)).\nAnswer: k**4 + 3*k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g - 4. Let t(f) = -4 - 3*f - 7 + 0*f - 6*f. Let w(m) = 4*t(m) - 11*z(m). Let d(p) = -12*p. Determine -2*d(u) + 9*w(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -68. Factor x*w**2 + 0 + 2\/3*w**4 - 2*w**3 - 2\/3*w.\nAnswer: 2*w*(w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 2*q + 1. Let l(x) = -x**2 + 4*x + 1. Let f be l(4). Let a be y(f). Solve -4*j - 4 + 16 = a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r + 18. Let t be a(0). Suppose 0 = i - 2*i + t. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 62360 = -6*s, -7*s + 6*s = -2*w - 10385. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -51. What is the nearest to 1 in y, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 2*j - 380. Let p(o) = 18*o**2. What is q(p(u))?\nAnswer: 648*u**4 + 36*u**2 - 380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 7:14 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -149, -152?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (460\/(-8) + 4)*2. Let r be 1*(10 - -3)*w. Is (-8)\/(-28) + r\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -371?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**33\/(g**9*(g\/((g*g*g**(2\/7)*g)\/g))\/g*g)*((g\/(g*((g\/g**(-14))\/g)\/g*g*g))\/g**(4\/7))**(-2\/67) assuming g is positive.\nAnswer: g**(-3400\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.1 rounded to 0 decimal places?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let h(i) be the second derivative of i**3\/2 + 3*i. Let w(u) = 2*h(u) + 5*j(u). Let c(f) = 6*f. What is c(w(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 131232 (base 4) to base 8\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(18)\/(-3*sqrt(9))) + 5.\nAnswer: -3*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61\/(-244))\/((-1)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/5*-533*(-245)\/(-2548).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*2\/(-4) - -8. Suppose -4*q = -y - 8. What is the lowest common multiple of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*f + 894*f - 2669*f + 885*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyvh when four letters picked without replacement from {v: 1, x: 1, y: 1, f: 1, h: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1180\/177*1893\/(-38). Let o = j + 332. Put 2\/11, -0.3, o in increasing order.\nAnswer: -0.3, o, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*r + 4*l + 4, 3*r + 6 = -l. Let g = 2 - r. Suppose 5*p - 5 = t, -5*t = 5*p - 19 - 16. Which is the closest to -1? (a) g (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750067?\nAnswer: 59, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -84467497 and 0.4.\nAnswer: -84467496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 449370819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((3 - 2*p - 3)*(4 - 6 - 6) + p + 2*p - 2*p)*(4 + 3 - 1) - 2*p + 0*p + p + (2 - 7 + 3)*(0*p - 3*p + 2*p) - 4 - 2*p + 4)*(-3*p - 2*p**2 + 3*p).\nAnswer: -202*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u - 103. Let k(m) = -5*m - 69. Let r(q) = 5*a(q) - 8*k(q). Let x be r(-7). What is the units digit of (0 + 106)*(x + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 560?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.93 - 8. Let a = w + 0.27. Let o = -115\/28 - -27\/7. What is the nearest to 1 in a, 5, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -50*n**3 - 204*n**2 - 292*n - 126. Let q(t) = -7*t**3 - 29*t**2 - 42*t - 18. Let h(m) = -6*i(m) + 44*q(m). What is v in h(v) = 0?\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 11*p - 8. Calculate the lowest common multiple of 18 and n(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + 5.3. Let z = f + -2.7. Let d = 0 - -0.4. What is the smallest value in d, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2. Let b(f) = -2*f - 3. Let x be (2\/4)\/(3\/24). Let l(t) = t + 2. Let u(i) = x*b(i) + 6*l(i). What is j(u(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45020270, -90040539, -135060808?\nAnswer: -180081077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24446, -49029, -73866, -99083, -124806, -151161?\nAnswer: -178274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -3411?\nAnswer: -3408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60821541 divided by -3411.\nAnswer: 17831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 28?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0 + 1\/6*j**3 + 14*j**2 - 1\/12*j**4 + 0*j. Suppose m - 12 = -2*m. Give s(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -392, -569?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2325729?\nAnswer: 3, 7, 110749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 367.\nAnswer: -5\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/20 + 21*f**4\/4 + 270*f**3 + 2655*f**2 + 2. Differentiate m(x) wrt x.\nAnswer: 6*x + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 2850.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + 29. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*f**4\/3 + 148*f**3 + 518*f**2 + 1324*f\/3 + 64 = 0. What is f?\nAnswer: -16, -3, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjxv when four letters picked without replacement from axajaxaxaxxxxvkaj.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m**2 - 17*m. Let b(j) = 21*j**2 + 33*j + 1. Determine -3*b(u) - 5*l(u).\nAnswer: -8*u**2 - 14*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 189844?\nAnswer: 9\/189844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from vvvvvvvcvvvlvvvcllll.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*j + 25*j - 42 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*i - 6 = 79*i. Solve -4*s + 2 + i = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*y - 3*y. Suppose 0 = y*t - 9*t - 12. Suppose t*z = -w + 116, 2*w = 2*z + z - 87. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -261675 and -261673 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = 4*r, 4*o - r + 117 - 123 = 0. Solve 3*v - 21 = -o*l, -l + 3*v - v - 7 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 26. Let n = 5 + 10. Let x be o(n). What is the second derivative of -15*f**2 - 13*f**2 + 18*f + 28*f**2 - 35*f**x wrt f?\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 143 in -10, -2\/13, -3, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4073 + 4073 + 105*z**2)*(z - 6*z + 3*z)*(3*z - 4*z + 3*z).\nAnswer: -420*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 77?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011 (base 2) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1069.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -30*a**2 + 39. Let o(w) = 13*w**2 + w - 19. Let m(t) = -3*l(t) - 7*o(t). Calculate m(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(1 + -6) + (13 - 243\/90)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67463 + 3475 = -476*d - 650*d for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 9*d - 9, 4*d + o - 4 = 6*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -137ea - 1?\nAnswer: -137eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*t = 7*a + 42, 3*a - 21*t + 9 = 192 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/3)*d)**(-3\/8) assuming d is positive.\nAnswer: d**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -42d12a (base 16) to base 15\nAnswer: -5b76d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 53745\/2 (b) -1\/6 (c) 1859\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 5*m - 4. Let x be n(9). Let u = 132 + x. Let h be 2 - 6 - u\/10*17. Which is greater: h or -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 88. Let z be n(0). Suppose 4*t + 0*t = z. Calculate the remainder when 64 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8266714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/4 (c) -2\/11 (d) 0.161 (e) 9 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 29*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 95*a**2 + 129*a + 3172. Let w be h(-96). Let q(p) = 2*p**3 - 6*p**2 - 3*p - 8. Calculate q(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 0. Let i be 38\/y + 5\/25. Put -2, -5, i in ascending order.\nAnswer: -5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.4 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 - 16*g - 13. Suppose 15 = j - 4*i - 1, 0 = -3*j + 4*i + 8. Calculate the remainder when p(j) is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5139, -8864, -12589?\n\"Answer: -3725*t - 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -96685652573.\nAnswer: -96685652567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 384453995 by -5.\nAnswer: -76890799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4019*z**3 + 234*z?\nAnswer: 24114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 16. Let p be (27\/15)\/(6\/40). Suppose -g + p = 2*g. What is the greatest common divisor of g and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3023 and -1\/14674.\nAnswer: 44359502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 13817\/387 and 35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -497747\/22 + 22629. Calculate the common denominator of b and 69\/1936.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 4*u**2 - 4*u - 8. Calculate y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 5, -0.5, -0.1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 3 + 3*f + f + f**2. Let y be i(-3). Is 100\/6 + (-6)\/y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -181, -384, -695, -1126, -1689, -2396?\nAnswer: -3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/6 and -3\/3503?\nAnswer: 21018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - 5*1*sqrt(117))\/sqrt(9).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v - 7. Let g be p(5). Let x(y) = -4*y + g*y + 5*y - 2*y. Calculate the remainder when x(2) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 420171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.357241 and 5.\nAnswer: 5.357241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agacwjggwjccccajggj. What is prob of picking 2 c and 1 a?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 67 + 75 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1371, -5, 5 in decreasing order.\nAnswer: 5, 0, -5, -1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17320 divided by 57?\nAnswer: 17320\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5143950 to the nearest ten thousand.\nAnswer: 5140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.708943 + 2.703. Let c = j - -0.006. What is c rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38450.4 - -0.1\nAnswer: 38450.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + 12002131?\nAnswer: 12002331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 15*c**2 + 763*c - 293. What is i(36)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 679\/3 - 245. What is the common denominator of n and 49\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 2*s - 77. Let v be n(10). Let d = -4.9 + 4.8. Which is the third smallest value? (a) 15\/2 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206\/(-824)*1\/(2\/(-48))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 269760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 - 68) + -6 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -29. Let x be 12*12\/s*-1. What is the units digit of 3\/x - (-295)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 23*q + 216. Let j(b) = b**2 + 8*b + 63. Let r(y) = 7*j(y) - 2*u(y). Calculate r(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -60.427 (b) 0.5 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 6*z**3 + 2*z**3)*(-2*z - 2*z + 3*z) - 1395 + z**4 + 18*z**2 + 3*z**2 + 1393.\nAnswer: 3*z**4 + 21*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c**2. Let m(f) = f**2 + 3. Let b(j) = 33. Let w(p) = -b(p) + 11*m(p). Give w(h(u)).\nAnswer: 1100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 8*k**2 + 2*k + 12. Let t be v(-8). Let s(a) = -a**2 - 7*a + 3. Let n(m) = -2*m**2 - 15*m + 6. Let f(p) = -2*n(p) + 5*s(p). Calculate f(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 365 = 3*f, 4*b + 4*f - 241 = b. Let o = 0 - 0. Calculate the remainder when b is divided by -1 + o\/(-2) + 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 6. Let n(o) = 2*o + 4. Let y be n(s). Suppose 2*b + y = 66. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -137*v**2 + 2*v. Let t(z) = 104667*z**2 - 1529*z. What is 1529*b(y) + 2*t(y)?\nAnswer: -139*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3371026.\nAnswer: 2, 821, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) - 40\/140.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 48*v**2 + 11*v + 5. Let t(g) = 24*g**2 + 7*g + 3. What is -3*a(q) + 5*t(q)?\nAnswer: -24*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -242324301 (base 5) to base 13\nAnswer: -30a211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 32 = -2*z. Let v be -4 + (-248)\/20 + 2\/5. Is v greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.57 and 1250385?\nAnswer: 1963104.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -30 - 7*z + 3 + 6 + 13 + 6*z. Let t(o) = 2*o + 17. Give 9*b(s) + 4*t(s).\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**7*b**(-5))**(3\/7)\/(((b**(-2)*b)\/(b\/(b*b**(-2)*b*b*b)))\/(b**1*b**(-6))) assuming b is positive.\nAnswer: b**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvg when three letters picked without replacement from {a: 2, g: 4, c: 2, f: 6, v: 2, j: 1}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*j + 1408 + 59*j - 98*j - 387.\nAnswer: -195*j + 1021","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*k = 2*v, 0 = -2*k - 2. Let w be 263\/2100 - ((-62)\/(-14) + -5). Let x = w + -3\/100. What is the closest to v in 3, x, 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002169443 rounded to seven decimal places?\nAnswer: -0.0002169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/15 and 13\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 + -1))\/(1\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2. Let y(i) = -173*i**2 + i + 4. Give y(m(p)).\nAnswer: -1557*p**4 + 3*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b + 4*b**2 + 5*b**2 - 8*b - 9*b + 4*b**3.\nAnswer: 4*b**3 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(405) + -1)*2)**2 + 1 + (sqrt(120)*-3)\/(sqrt(96)\/sqrt(4) + sqrt(24)).\nAnswer: -147*sqrt(5)\/2 + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + r**5 - r**2 + 0*r**3 + (2*r**2 + 0*r**2 - 4*r**2)*(-2*r**3 - 2*r**3 + 3*r**3).\nAnswer: 3*r**5 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1889545747163345 + 3*d**2 - 1889545747163345.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqpillc. Give prob of sequence lccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*sqrt(25)*-5)\/sqrt(5) - -5*sqrt(125)*-1).\nAnswer: -5*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*k - 210. Let o(s) = 4*s. Let i(t) = -15*t. Suppose -5*r - 3 - 27 = 0. Calculate k*o(j) + r*i(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y + 79. Let z be n(8). Solve w + 3*t = -z, 4*t = -w + 2*t - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252015524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 692?\nAnswer: 5536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/11*s - 2\/11*s**3 - 6\/11*s**2 + 0 = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3\/2, 2\/25, -36\/151?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5586 less than or equal to -6812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 426747128 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d + 13. Let k be l(14). Suppose q = k - 29. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/9 - (1 + -1). What are the prime factors of (3\/(-6))\/(s\/124)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5430.954 meters in nanometers?\nAnswer: 5430954000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -17. Is v < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-74)\/(-10) - (22 + -15). What is the biggest value in 93, h, -0.1?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676 (base 9) to base 5.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l**2 - 4*l - 1. Let v be z(3). Let m(k) = -k**3 - 14*k**2 - 2*k - 24. Let j be m(-14). Solve -v*q + 11 = -j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, k: 1, q: 5, c: 1}. Give prob of sequence qscs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 869130 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**3 - 392*z**2 + 391*z**2 + 39*z**4 - 50*z**4 - 4*z as b*z**2 + d + k*z**3 + q*z + c*z**4 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 244700101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15494, 15484, 15472, 15458?\n\"Answer: -p**2 - 7*p + 15502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*j + j + 366, 5*j + 2*n - 922 = 0. Find the second derivative of -24*r**4 - 35*r**4 - 150*r + j*r wrt r.\nAnswer: -708*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 431*f**3*j**2 - 6*f**3*j + f**3 - f wrt j.\nAnswer: 862*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -873*g - 5243. Give q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 1 - 53*c - 59*c + 41*c)*(3 + 2 - 1)*(2*c - 2*c + 2*c).\nAnswer: -40*c**3 - 568*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 21324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 2*o. Let p(y) = -2*y - 4 + 2 - 2*y**2 + 2. Let x(v) = 2*p(v) - 3*t(v). What is x(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -4, -1, 31629 in ascending order.\nAnswer: -4, -2, -1, 0, 31629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 140\/(-25) + 4\/(-10). Let i(l) = -13*l**2 - 5*l + 16. Let u(r) = -7*r**2 - 2*r + 8. Let k(x) = -3*i(x) + 5*u(x). Is 18 a factor of k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/(130\/(-13))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94 * 0.146.\nAnswer: 13.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2793*o + 414*o - 114192 = 0 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227*h*l**2 + h*l - 202*h - 2*l wrt l?\nAnswer: -454*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6487\/9 - 723. What is the common denominator of j and (2 - 1)\/((-275)\/925)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -575 and -90040.\nAnswer: 51773000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10 + -2*3\/(-6) - 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 17*z + 5 + 148 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 15 + 3, 731*b - 5*q + 2 = 719*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 590?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11428699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = u + 10, 3*u - u = -c - 6. List the prime factors of ((-22)\/6)\/(c\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:36 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 152*g**2 + 281 wrt g?\nAnswer: 304*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 12*a + 11. Suppose 17*u - 18*u - 11 = 0. What is the lowest common multiple of 22 and r(u)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -1 - (18 - 21 - -16 - 14 - -10).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15598.551 months in decades?\nAnswer: 129.987925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490035?\nAnswer: 3, 5, 7, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 0, -2 in increasing order.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.562424851 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 2ba0a51?\nAnswer: -2ba0a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 84 = -i. Let k = 121 - i. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 11 + -15 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 3 - (5 + (9 - (5 + 2)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 62*u**2 + 510*u - 1026 = 0. What is u?\nAnswer: 3, 9, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 16. Let t(m) = -3*m + 16. Let h(y) = -4*n(y) - 3*t(y). Calculate h(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3587833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31038, 31038, 31040, 31044, 31050, 31058?\nAnswer: 31068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 431 + c?\nAnswer: 43d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p - p)*(2 - 5 + 2) + 3*p - 2*p + p + (-1 - 4 + 3)*((-2 - p + 2)*(-4 - 1 + 3) - 2 + 8*p + 2) + 11*p - 10*p - 8*p.\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 - -4346?\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*43\/1419*19?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -357 - -394. Calculate the remainder when 1611\/15 + (-6)\/15 is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*c**2 - 45*c + 91*c - 46*c.\nAnswer: 66*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690.192 millilitres in litres?\nAnswer: 2.690192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32436 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**2 + 13974*t - 13977 = 0?\nAnswer: -4659, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b + 2 = y, -5*b = -3*y - 50. Let j be 4\/y + (-24)\/(-10). Let h(z) = -3*z + z + 2*z + j*z. Let g(n) = -7*n. Determine h(g(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 7:34 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 19*b. Let x be j(1). Suppose -4*p - 5*o + 53 = 0, 12*o = -3*p + 9*o + 42. Is p at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7203\/166 - 9\/83. Find the common denominator of 3\/(-15) + 2084\/320 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/((-1)\/(-27)). Let p be (2\/(-6))\/((-1)\/q). Suppose o + 2 = -4*t, -p*o - 3*t = 2*t - 22. What is the greatest common divisor of o and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, -0.4, 21, 4\/3, 0.27, 1\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 20*t**2 - 25*t + 25. Is d(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, t: 4, l: 4, v: 7}. Give prob of picking 1 t, 1 y, and 2 l.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**3*m**4 - 57*c**3*m - 664*c**3 wrt m?\nAnswer: -12*c**3*m**3 - 57*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 10 = -f, -5*f + 2 = 2*x + 37 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**2*y - 39064055*m**2 - 44824*m*y - 6*m wrt m?\nAnswer: -4*y - 78128110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1449 (b) -40 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20672 and 13736.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10274885.\nAnswer: 5, 17, 109, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.183 + 79.183. Let v = -77.04 + d. Let k = -2 + v. Round k to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 69 = 81. Suppose 20094 + 7080 = w*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.05 (c) 606 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117288061.\nAnswer: 11, 79, 139, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55, -154, -319, -550, -847?\n\"Answer: -33*n**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.167 + -0.233. Let u = k + 34. Let z = u - 2.6058. Round z to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let d = -1 - -3. Suppose q = -5*j - 3*r + 31, d*j - 3*r - 3 = 22. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-11)*(-4668)\/(-8). Let a = t - 212. Let f(y) = y**3 - 103*y**2 + 107*y - 511. Let q be f(102). Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 70, 75?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-840)\/(-288)*2\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -298.1 + 298.1. Let q = -2.97 - 0.03. Let f = 2.2 - 0.2. Which is the closest to 0.3? (a) q (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (sqrt(187)\/(-4*(sqrt(11) + -1*sqrt(11)) + sqrt(11)) + 3)**2.\nAnswer: 6*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2088871328 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 32625 - -0.1\nAnswer: 32625.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y**2 + 9*y**3 + 26*y + 3*y**4 - 17*y + 2*y**2 + 3*y**4 = 0 for y.\nAnswer: -3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10223047?\nAnswer: 1279, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995 + 251 - 3063 = 81*k for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*k - 656643, -1996*k + 1994*k + 656653 = 3*l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -755*a + 12. Let f(l) = 755*l - 18. Give -2*f(q) - 3*u(q).\nAnswer: 755*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**3 - 6394*a**2 + 20*a - 52.\nAnswer: -30*a - 12788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6177214?\nAnswer: 2, 3088607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 552*j + 5. Let x be t(0). Let y(z) = -93*z**2. Let b(c) = 1441*c**2. Calculate x*b(o) + 77*y(o).\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 132240587021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/6)*k)\/k)\/(k*k**(1\/7)))**(3\/19) assuming k is positive.\nAnswer: k**(-55\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 450\/(-875)*7*5\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 8*a - 2*n - 65, -4*a - 5*n + 52 = 0. Solve 4*h - 11 = u, 3 - a = 5*u - 5*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbgwvgn. What is prob of picking 1 w, 2 g, and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1045, -1071, -1119, -1201, -1329?\nAnswer: -1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**2\/2 + 4*o - 1. Suppose -2 + 17 = -3*b. Is w(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-45)\/4))\/((-6)\/10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-2))\/((-1)\/36). Find the third derivative of -30*s**3 - 20*s**2 + m*s**2 + 4*s**3 wrt s.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**5\/20 + g**4\/3 + g**3\/2 + g**2 + g. Let v be x(5). Which is the second biggest value? (a) 0.3 (b) -2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 20 = 0, 2*m + o = m + 16. Let g be -1*m*(0 - 12). Let f = -15 + 31. What is the highest common divisor of f and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 579, 605, 631, 657?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, 0, -16, -0.09?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**3 + 19*t**2 + 9*t - 19. Let r(z) be the first derivative of 3*z**4\/4 - 2*z**3 - 3*z**2\/2 + 6*z + 8. Let a(h) = -3*l(h) - 8*r(h). Factor a(v).\nAnswer: 3*(v - 3)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/63? (a) 0.1 (b) 24 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2501781352?\nAnswer: 2, 7, 83, 538249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**6\/120 + 497693*n**3\/3 - 3*n**2. Let r be j(0). Suppose 4*u = 19804614 + r. Round u to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/183209788 and 9\/655.\nAnswer: 916048940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/28839, -5, 0, -0.4 in decreasing order.\nAnswer: 0, -4\/28839, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 n, and 1 t when three letters picked without replacement from nfntrnrn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 285 + -292. What is the nearest to 0.1 in o, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36335 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/1*1038\/6747.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + ((sqrt(19)*-1 - sqrt(19)) + -2)**2 - -6*sqrt(19)*-4 - (sqrt(475) + 2 + -3)*-4.\nAnswer: 5*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-39)\/(d*(d*d**(-3\/8))\/d*d**6)*d**(-1\/12)\/d*d**(1\/14)*((d**(-2)*d)\/d)\/d**(-2\/7) assuming d is positive.\nAnswer: d**(-8123\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*x - 39262 = 143798. What are the prime factors of x?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177116279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12711136 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 79, -4, -0.29, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 590 - 324. Let a = x + -265. Let r = 0 + 4. What is the third biggest value in a, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 2\/57, 0.2, 1096, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.394499 decades in centuries?\nAnswer: 0.2394499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*v + 46, 2*t + 5*v = 71 - 25. Suppose k + t - 26 = 0. What is the smallest common multiple of 12 and (-1)\/2 + 132\/k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i - 17. Let t(c) = -16*c + 66. Let b be t(4). Let v(l) = 3*l + 1. Let q(z) = -7*z - 2. Let x(r) = b*v(r) + q(r). Calculate h(x(m)).\nAnswer: -7*m - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29969631 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*t + 4*q, 63 = -11*t + 16*t + 2*q. Solve -4*z - j + t = 4, -8 = -2*z - 2*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 120*m**2 - 371*m + 167. Determine s(63).\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*k + 48*k + 24. Let u = -2813 - -2816. Sort 2\/7, k, u.\nAnswer: k, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 26*n + 1160000000. What is n rounded to the nearest 1000000?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 44*h**2 - 8*h - 29. List the prime factors of k(-4).\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/(-1071) - 96\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4219776)\/(-480))\/(-297)*5\/2\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 5*p - 15, 450*k - 447*k = 3*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541916463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -218.3 * 5426.\nAnswer: -1184495.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 20 = -2*u, -2*u = -2*n + 844. List the prime factors of n.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49490.\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w + 0*w + 3*w + w**2.\nAnswer: w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226208 divided by -32.\nAnswer: 7069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -19 - (-28 - 42 - -138)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d + 29 - 4835 = -32*d + 596*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112059.\nAnswer: 3, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.5, 4, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -139928 (base 10) in base 2?\nAnswer: -100010001010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 105?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j + 20. Let z be 3*(-4)\/18*-6. Suppose -z*k - 5 - 3 = 0. Put j, 3, k in descending order.\nAnswer: j, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/6*18\/(-27). Let f(c) = -c**3 + 7*c**2 + 2*c + 4. What is the remainder when 30 is divided by f(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 6*s - 22)*(-14 + 14 + 7*s**3)*(-2*s - 10 + 1 + 7).\nAnswer: -84*s**5 - 84*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 2. Let g be b(2). Suppose g*l + 1 = -4*r - 19, -25 = 3*l + 5*r. Solve l*z + z = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/52, -0.5, -6, -1\/3 in decreasing order.\nAnswer: 3, -1\/52, -1\/3, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1647575 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143.2 - 143. Which is the third biggest value? (a) x (b) 3 (c) -0.04 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -75 - -143 - 113?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/505 and 61\/10995?\nAnswer: 1110495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1282, -2563, -3844, -5125?\n\"Answer: -1281*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*o**3 - 4*o**3 - 2*o**3 + (-2*o**2 + 3*o**2 - 2*o**2)*(-2*o + 2*o + 5*o).\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 10*d**2 + 12*d + 5. Let q be z(11). Suppose c - q = -i + 49, -c + 245 = 4*i. What is the highest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwrrrrr. What is prob of picking 1 w and 1 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1308 divided by -2.\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77692.6 years?\nAnswer: 7769.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 12:25 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2295 + -97. Suppose -4*i + 406 = -a. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 2:31 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2479515.\nAnswer: 3, 5, 23, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.220581*3\nAnswer: 6.661743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m + 3*j + 33, 3*j - 3 = -2*m. Solve m*k - 3*k = 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*q - 661 = 131*q + 135 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14222?\nAnswer: 2, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 15. Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 863 = -303. Which is bigger: -82 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.024831 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -183*q**2 - q + 2. Let z be c(1). Calculate the common denominator of z\/24 - (-16 + 15) and 47\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4672*r*w**3 - 9*r + 162657*w**3 wrt r.\nAnswer: -4672*w**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -4)*1\/(-4). Suppose -c + 2 = -x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215 + -119. Let c = a - 94. Which is smaller: -0.3 or c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -4 (c) 5 (d) 341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = -c, 0*d - 2*d - 6 = 3*c. Solve d = -6*z + 39 - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 2*b**3 + 2*b**3)*(-4*b - 2 + 0*b - b).\nAnswer: 10*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 110?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 + 36*h**2 - 892*h + 109. Calculate x(-32).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 5\/3*z**3 + 75*z + 16 + 20*z**2. Factor j(g).\nAnswer: 5*(g + 3)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50464208 to the nearest integer?\nAnswer: 7104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*(-16)\/(250\/(-20) + 13). Solve -s*b = -19*b - 21 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1269.73174 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21280 - 4301. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.423, -0.7, 26\/19, 23 in ascending order.\nAnswer: -0.7, 0.423, 26\/19, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1337 = -5*w - 357. Suppose -2*z + 4*s + 95 + 99 = 0, 0 = -2*z + 2*s + w. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 115*t + 110*t - 204 = -70, 45 + 11 = -a - 2*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 15723*u**2 + 23*u + 21. What is the thousands digit of h(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794 is divided by 146.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -63377 (base 8) to base 4\nAnswer: -12123333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -1183829.97 (c) -5 (d) 4\/7 (e) 1 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1566 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (358 + -358)\/(1 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**6\/90 - 7*d**4\/24 + d**3\/6 - 7*d. Let h(v) be the second derivative of x(v). What is the first derivative of h(s) wrt s?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-5) - (-11 + 20 - 13). Sort -5, g, 1 in decreasing order.\nAnswer: g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169341449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53846, 214725, 482856, 858239, 1340874, 1930761, 2627900?\n\"Answer: 53626*j**2 + j + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4281 - 4276. Solve 3*l + 5 = -5*y, 2*y - b*l = -4 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 4*r - 12. Let d be w(-17). Suppose -3*h = 4*b - b - d, -2*h = -2*b - 214. What are the prime factors of h?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -12*y + 380. Let j be f(31). What is the highest common factor of j and 540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 9*v = 5*y - 231, 7*v = -2*y + 886. Let f(o) be the second derivative of 0 + 1\/3*o**4 - o + v*o**2 - 32\/3*o**3. Determine g so that f(g) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 a factor of 163090752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -73336*r - 219521. Calculate g(-3).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 42*y - 3*y**2 - 7*y**2 + 42*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2904b + 761?\nAnswer: 297b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 4*z + z - 4*x, -5*z = x - 350. What is the remainder when z is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1584490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 5 + 13 + (0 - -4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 16. Let j be k*(1\/2)\/1. Let d be 9\/j*8\/(-6). Solve 0 = -d*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -3) + 37 + -31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -38. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 74863*f + 74815*f + 9*f**2)*(-5 + 1 + 0).\nAnswer: -28*f**2 + 192*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 1, l: 1, o: 3, i: 3}. Give prob of picking 2 j and 1 l.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 8:57 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 58*a + 9. Let w(i) = 28*i + 5. What is -6*d(c) + 13*w(c)?\nAnswer: 16*c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2*((-144)\/(-128) - 3\/24). Suppose j - 3*c = -21 + 4, -25 = 5*j - 3*c. Let u be 5 - (3 - 1) - j. Solve x*h - u = h - 5*v, -2*v = -4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1376516*b*f**2 - 8842321*b - 65*f**2 wrt f?\nAnswer: 2753032*b*f - 130*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**3\/6 - x. Let q(j) = j**2 - 5 + 3*j**2 - 2*j**2 - j**2. Let d(r) = -1. Let m(o) = 10*d(o) - 2*q(o). Give u(m(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 668602.8 micrometers in kilometers?\nAnswer: 0.0006686028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5878840687?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**2 + l + 1. Suppose 3*v + 110 = -5*b - 0*v, -2*b - 23 = -3*v. Suppose -3*g + 4*u + 74 = 0, u - 64 = -3*g + 3*u. Let k = g + b. What is x(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 2*v**2 + 2*v - 2. Let g be q(2). Let z be g*(-3)\/18*-3. Suppose -z = 2*f + 3. Is f < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378352*p + 1710 = -378295*p for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.7, -217, -0.19, 3, 0.1?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*o + 1)*(6*o - 2 - 2*o - 3*o) as m*o + w + q*o**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.2. Let q = 0.7 - 1.6. Let i = -1.2 - q. Which is the nearest to h? (a) i (b) -1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(8*(-9)\/(-108)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:39 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*r - 1061460 - 555107 = -266617. What are the prime factors of r?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18485.95 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000602310994 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 60. Solve -o - 4*q + 18 = 0, 4*q - i = q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4335798 to the nearest integer?\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -38. Calculate the smallest common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 124\/6 + (-4)\/6. What is the highest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-168)\/(-28)*4\/6. What is the nearest to 2\/5 in -2, 2\/5, i, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 19. Let z = -17 + x. Factor m + 1\/2 + 1\/2*m**z.\nAnswer: (m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16664536 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1831107997060*v**2 + 15 - 15 - 1831107997061*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 678 - 281. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2. Let p = 3 + 6. Let s = -4 + p. Let z(t) = 3*t**2 + 2*t + 2. Let a(r) = 7*r**2 + 5*r + 5. Let i(h) = s*z(h) - 2*a(h). Determine n(i(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1147 divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 + 2*t + 1. Let p be q(-1). Let n = 26 + p. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-112)\/(-32))*1*(-9)\/(-369)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 39445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(245) + (3 + sqrt(245))*1)**2 + (-5 + (sqrt(245) - 3*sqrt(245)*4))**2.\nAnswer: 350*sqrt(5) + 24725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 266, 372?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 p when three letters picked without replacement from ppvvhepypp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*y**3 + 2*y + 144 + 283*y**3 + 420 - 2*y**2 - 150*y**3 + y**5 + 2*y**4 - 208*y**3 wrt y.\nAnswer: 60*y**2 + 48*y - 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -506*(-21)\/693.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, t: 3, f: 6, c: 8}. What is prob of picking 2 c, 1 f, and 1 g?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*18\/1608)\/((-3)\/4). Do t and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**5\/3 - 54764*c**4\/3 - 125162830*c**3 - 2743387200*c**2 + 9357120000*c = 0.\nAnswer: -13680, -25, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 + 386*f**2 + 13*f - 26. Let n(c) = -2*c**3 - 194*c**2 - 6*c + 12. Calculate -6*a(h) - 13*n(h).\nAnswer: 2*h**3 + 206*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -924, -1855, -2786?\n\"Answer: -931*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 + 123. Let x = -54.033 - w. What is x rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6168624 divided by 35049?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 1:20 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275590472?\nAnswer: 2, 3, 13, 4088431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 467598 in -5, -0.4, -4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/49 - 44\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32250953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1115500342 + 1?\nAnswer: 1115500343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.9 + -1.839.\nAnswer: -8.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20520)\/304)\/135*200\/2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 256, 273, 292, 313?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*6 + -5)**2.\nAnswer: -180*sqrt(5) + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/((-2)\/(-5) + (-1)\/(-10)). Let y = -100 - w. Let x = 28 - y. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102948 divided by -6\nAnswer: 17158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*n + 2 = 0, -3*p + p + n = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1341 - -1343. Solve 8*w - 4*w = s*c - 4, -c + 9 = 5*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13871 + -13809. Solve x*o + 268 = -104 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1745796 divided by 15314?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 3. Let k be x(-4). Suppose -17 = -5*u + j, 0 = 5*u - 5*j - k - 4. Find the third derivative of -v**2 + 5*v**5 - 3*v**u - 2*v**5 + 3*v**4 wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 25. Let b be u(-11). Let k be 4\/(b + -4) + 14. Solve 0 = 2*f - 7*f - k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1295 and 74740?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {t: 14, d: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 3 + 6 - 3*k**2 - 4 - 5*k to r*k + g + p*k**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 8:54 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4\/(-68) + 398925\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 11*o = 2. Suppose 193 = o*m + 73. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 18*p - 45. Solve p*q - 2 = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 187895?\nAnswer: -187895.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxf when three letters picked without replacement from ffxxfxffqxfnxxu.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*q**3 - 14*q**3 + 3*q**3 + 102*q**2 - 30*q + 9*q**2 = 0. What is q?\nAnswer: 0, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let n be (0 - q) + 1*6. Suppose -n*o + 13 = -7. Solve -4*h - 2*t = -o - 1, -5*t = -4*h + 41 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 366296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1608\/5579 - -2\/797. Let f be 5 + (-6)\/2 - 6. Which is the smallest value? (a) -27 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -3\/25, 0.3, 2\/9, -5, 12\/11?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/80 and -53\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17658428 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, p: 4, w: 1, o: 2, q: 1}. Give prob of picking 1 q, 1 w, 1 o, and 1 p.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 121, 122?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -15. Let y be u\/8 - 2\/4. Suppose y*i**2 - 1\/4 + 0*i = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188873 - -341440. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 249915.\nAnswer: 24\/83305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4347 = -r + 14084. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-5*sqrt(6)\/sqrt(3) - sqrt(2)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1305 - 1043 = -159*o - 856 + 257 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, u: 1, f: 1}. Give prob of picking 3 e.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 33. Solve 3*d - 2 = t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11480 - -11624. What is the remainder when r is divided by 71?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*z + 1988*z - 1616*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10698838 by 7.\nAnswer: -10698838\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*i + 15, 6 = u - i - i. Suppose u = 2*g - 0*t + 2*t - 12, 2*g + 8 = 3*t. What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 6. Let p be o(-11). Let v = 7 + p. Calculate the remainder when 3 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 8 = 14*w - 4*s, w - 3*s = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13085861 is divided by 37603?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -19. Let w(v) = v**2 - 4*v + 2. Let c be w(s). Let m be (3 - (-6)\/c) + 3. Solve -4*f + 3*f + 14 = -5*x, m = 3*x + 2*f - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {p: 1, i: 4, u: 1, r: 1, y: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 14. Let a(t) = 2*t - 13. Let y(f) = 3*a(f) + 4*k(f). Let d be y(7). Solve -3*o - 10 = -4*m, d*m + 0*m - 3*o = 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3*x + 534940*f**3 + 21*f**2*x - f**2 - 258*f*x - 2*x wrt x?\nAnswer: 2*f**3 + 21*f**2 - 258*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - 0.26. Let u = 2\/3 - 1. Let d be (-14)\/(-8) - (-9)\/(-6). Which is the nearest to d? (a) 3 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12. Suppose s = -4*x + x. Calculate the remainder when 23 is divided by 14 - (3 - (2 + x)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94434194 divided by -2?\nAnswer: 47217097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0432 rounded to two dps?\nAnswer: -4.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562 is divided by 417?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(2)*-2)**2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4044766?\nAnswer: 2, 11, 37, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 4. Let d = -2 + -39. Let b = d + 45. Determine u(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -61*l**4\/4 + 2*l**3\/3 + 95*l - 727. What is the third derivative of i(b) wrt b?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 2*v**2 - 3*v + 3. Let t be l(-4). Let f = t + 21. Suppose 24 = 4*p + f*p. Solve -4 = p*m - m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 = 3*x, d - 4*x - 9 + 29 = 0. Suppose 3*h + 2*h + 60 = d. Let u = 14 + h. Solve 0*g - 2 = -u*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22612626 to the nearest integer?\nAnswer: 4755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 636*a**2 + 0*a - 169*a**2 + 0*a as w*a + k + p*a**2 and give p.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + 14. Suppose -48*r - 1095 = -p*r. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*x**3 + 412*x**3 + 2*x - 2*x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((26\/21)\/13)\/1*-3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9*6\/4. Suppose -m = 3*b - 2*g, 13 = -0*b + 5*b + 4*g. Let s = 56 - b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11135.5 + -11136. Which is the third smallest value? (a) 4 (b) m (c) -8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aa88 - -1?\nAnswer: -1aa87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 45.2. What is the smallest value in 5\/2, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -26*l + 9. Let n(j) = -7*j - 5. Let u(g) = 2*g + 5. Let k(o) = 3*n(o) + 4*u(o). What is 6*h(t) - 11*k(t)?\nAnswer: -13*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v + 2*r = 6, 0 = 4*v + 2*r - 22. Suppose 47 = -v*u + 15. Let o = u - 1. Let t(s) = -s**2 - s + 5. Calculate t(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 243627 + -74.\nAnswer: 243553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 99871935, 99871932, 99871927, 99871920, 99871911, 99871900, 99871887?\n\"Answer: -w**2 + 99871936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/5, 23, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3493472 to the nearest one thousand.\nAnswer: 3493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3790613 millilitres in litres?\nAnswer: 0.0003790613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36294*j = 36353*j - 3422 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*o - 2 = 0, -104*c = -106*c - 5*o + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 + 76*a + 52. Let w be t(26). Let h be (3 - 3\/2)*2. Sort w, 4, -1, h.\nAnswer: -1, w, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 891 divide 102694878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 + 14*m**2\/9 + 20*m\/9 - 32\/9.\nAnswer: -2*(m - 8)*(m - 1)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109916 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1755\/(-216))\/(-13)*48?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-473) + (-540)\/2365.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wplz when four letters picked without replacement from zwlslbp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from {o: 9, r: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) -1\/32 (c) 0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75\/59 + 107\/177. Sort -2, 4, g, -1.2 in increasing order.\nAnswer: -2, -1.2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, i: 9, u: 1, c: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 7*r**6\/60 + 9*r**5\/40 + r**4\/12 + 2*r + 56. Find c such that k(c) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 374\/1651?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*j + 399 = 4249 + 1540 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.07 + -2.04. Let j = y - -1.37. What is the third biggest value in j, -1\/2, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 14*r + 3 + 5*r + 13*r - 5*r to p*r + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9471.141451 from 0.0748.\nAnswer: 9471.216251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - c + 1)*(0 + 3 - 7) - c + 6*c + 0*c.\nAnswer: 9*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 + 19*z**3)*(-z - z + z - 4 + (-3 - 2 + 0)*(-z - z + 3*z)).\nAnswer: -114*z**4 - 76*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(76)))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(99) - sqrt(99)*-2))\/(sqrt(128)\/(sqrt(12)\/sqrt(3))).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 20\/(-4) + 172. Let q(x) = -r - x + 169. Let w(f) = 3*f. What is q(w(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1976424655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -15*k**3 - 24*k**2 + 24. Let g(w) = -3*w**3 - 5*w**2 + 5. Let r be -6*(2 - (-6)\/(-4)). Let x = 2 - r. Determine x*h(p) - 24*g(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 - 3. Suppose -y + 4*p + i = 0, 6*p = 2*y + 3*p - 267. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1. Let k(r) = r**3 + r**2 + r + 1. Let j = -185 - -186. What is j*k(x) + h(x)?\nAnswer: x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in -3\/4, -11, 0.183?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.01 (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4131)*5*-6)\/((sqrt(3072) + (sqrt(3072) - (sqrt(3072) - -1*sqrt(3072))) + sqrt(3072))*-4))**2.\nAnswer: 309825\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4065*k**2 - 8*k + 4. Let g(c) = -28946866*c**2 + 56966*c - 28483. Determine -4*g(r) - 28483*i(r).\nAnswer: 4069*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**2 - k. Let q(t) = -39*t**2 + 31. Determine -j(a) - q(a).\nAnswer: 31*a**2 + a - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.21 - 2.21. Let d = -0.226 + 0.026. What is the third smallest value in 20, -3, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 - 10*d + 48\/5.\nAnswer: 2*(d - 24)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:44 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 8, k + k = x + 4. Suppose 2*l - 157 + 1 = 0. Let r = l - 78. Sort r, -5, x.\nAnswer: -5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789053375 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: Calculate prob of sequence vjj when three letters picked without replacement from {v: 1, j: 2, d: 2, y: 1, l: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 3*n**2 + 2. Let o be v(-3). Let z(y) = 3 + 3 - y**o - 3. Suppose 4*r = 12*r + 6*r. Calculate z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, -2 in ascending order.\nAnswer: -5, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhaamhhhtthmhhhhaa. What is prob of sequence aa?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(25)\/sqrt(5))*-2.\nAnswer: -6 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 507 - 203. Let w(a) = a**2 + 51*a - 49. Let u be w(-50). Let c = i + u. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40*(-16)\/1024)\/((-5)\/(-4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from lpa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43437563 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5 - -1) + (1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - i + 55. Let s be m(0). Suppose k + 182 = -s. Let w = 333 - k. Round w to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88204.28 rounded to the nearest 1000?\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)*1*0*(-4)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + (2 - 0)*3. Let t(y) = -9*y**2 + 2*y + 4. Let q(x) = -19*x**2 + 5*x + 10. Let z(a) = c*q(a) + 5*t(a). Let o(l) = 5*l**2. Give z(o(j)).\nAnswer: -175*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 5 + (-169)\/(-52)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 4*h - 31, -16*h = -742 + 726 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3338287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2593395 (base 12) to base 5.\nAnswer: 3344032411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 3*j**2 + 0*j**2 + (2 + 0 + 0)*(11612*j - 56*j**2 - 11612*j).\nAnswer: -110*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21465.6 + -21464. Which is the nearest to -1\/4? (a) -0.2 (b) 0.15 (c) 1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(8 + 28)*2\/(-2). Let y = -11 - -11. Let p be y - -3*10\/6. Put x, -2\/5, 2, p in decreasing order.\nAnswer: p, 2, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 495380272 and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (-36 - -12) - 4\/8*2. Let c(i) = -2*i - 5. Give c(j).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 6*t - 7.\nAnswer: (t - 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 1 + 3. Let z = -2008 + 5972\/3. Let j = z - -53\/3. Which is the closest to v? (a) j (b) -0.1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 45\/12196?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.58 to the nearest integer.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146048 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/60 + h**4\/3 + 4*h**3\/3 - 7*h**2 + 3*h. Let y be d(-16). Calculate the highest common factor of 34 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(sqrt(98) + 1 - sqrt(98)) + 1*(-1 + sqrt(98)) + 4 + 2*(sqrt(98) + 1 + sqrt(98)))**2.\nAnswer: 490*sqrt(2) + 2499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9487 is divided by 499.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00564707 to 4 dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 divided by 267?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 12, -3, -1, 3\/5, -31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1360832 and 6773232.\nAnswer: 298022208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j - j**2 + 6*j + 3*j**2 - 5*j**2 + j**2 + (2 - 2 - 2*j)*(j + 2 - 2) + (57 + 4*j - 53 - 5*j)*(-3 + 3 - 3*j) to p*j + o*j**2 + m and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(19)*5*5.\nAnswer: 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (3\/(-12)*-4)\/((-1)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 36*g + 947 - 505 = 3170 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 87.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53, -131, -209, -287, -365, -443?\n\"Answer: -78*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1104)\/((-2064)\/43) + 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*t + 87*t = 342 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (54\/(-7))\/((-2)\/168). Suppose -5*n = -n - l - 654, -4*n = -4*l - h. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1589 divided by 227.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2454493634 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 11. Let s = 10 - r. Let f(w) = w**2 - 4*w. What is f(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -116 - -38d?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -5, -3, -11, -6 in descending order.\nAnswer: 4, 0, -3, -5, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 1)\/((-2)\/12). Let r(h) = h + 1. Let g(v) = -6*v - 8. Let w(n) = -n. Let z(o) = g(o) - 2*w(o). Calculate q*r(i) + z(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1470 by 147.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2 + 11*s + 8. Let x(g) = -6*g**2 - 9*g - 7. Let j(r) = -5*u(r) - 6*x(r). Let f be (-1 - -2) + 3\/1. Give j(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 6\/158027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.61823 years to centuries.\nAnswer: 0.6361823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1573 + 3221 - 1589 + 7*l to i*l + k and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 207685245*b**4 - 392135044?\nAnswer: 830740980*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**2 - 3*s + 3. Let a(b) be the second derivative of -b**4\/3 - b**3\/3 + b**2 + 6*b - 9. Determine 5*a(y) - 3*j(y).\nAnswer: y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t**(-5\/2))**32 assuming t is positive.\nAnswer: t**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1158383 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 805 divided by -14\nAnswer: -115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttotiootoioiii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -640854*r - 1281710. Determine n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*p + 4*m = -228*p + 29, 2*p - 11*m = -64 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*u - 21*u + 19*u + 8*u**2 wrt u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407446 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.023594898*-0.2.\nAnswer: -0.0047189796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -3*q**2 + 6491. Let v(f) = f + 145. What is g(v(n))?\nAnswer: -6*n - 870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3976?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 + 19*t + 7. Let a be j(-6). Calculate the common denominator of 7\/5 and a\/7 - (-1 - -3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -440*r**3 + 7*r - 8 + 439*r**3 + 4*r**2 - r. Let i be d(5). What is the third biggest value in -12, i, 2\/13?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 626650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-4)\/4)\/(-2)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:33 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354766638 to the power of 1\/4, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 17. Suppose 4*f - 8 = 0, -g + 8*f = k*f - 68. What is the remainder when g is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 474, 1009, 1902, 3153, 4762, 6729?\n\"Answer: 179*g**2 - 2*g + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 12 - 3 = -3*z, -5*o - 3*z + 21 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, b: 4, n: 3, p: 2, e: 1, g: 2}. Give prob of picking 1 q and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - -860. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -122?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119*c*h*q*z - c*h*z + 2*c*q*z + 2*c*q + 4418*c*z + 10*h*z + 2*h wrt h?\nAnswer: 119*c*q*z - c*z + 10*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 53\/37, 3\/8, 3, -0.3, -5, 4, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -5*-2*sqrt(78) - sqrt(78)) + -1*((sqrt(78) - sqrt(78)*-2) + sqrt(78)))\/(sqrt(48)\/(sqrt(24)\/sqrt(48))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, -123, -0.3 in ascending order.\nAnswer: -123, -0.3, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 186\/26 - 2\/13. Suppose n*z = 2*z + t + 210, -2*t = 0. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**6\/120 - q**5\/60 + 7*q**3\/6 + 11*q**2. Let i be 4\/(-10) - (-4)\/10. Determine j(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 + (195 - (-7952)\/(-112))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(2\/47))**29 assuming d is positive.\nAnswer: d**(58\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 4 (c) 0.14 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**3*t - 3*p**3 + 8*p*t + 6*p + 2*t - 910 wrt p.\nAnswer: 6*p**2*t - 9*p**2 + 8*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 732 - 353 - 3767*l - 379 - 4 - l + 4 + (5*l - l - 3*l)*(3 - 1 - 4) in the form m*l + h and give m.\nAnswer: -3770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0 + 0 + 4 - 6 + (0 + 2 - 1)*(5 - 2 - 1))*(-291*i - 762 + 762)*(0 + 3 - 1).\nAnswer: 1746*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0 + 0 + -4. Let u(c) = c + 3. Let m be u(d). Let a(f) = 4*f - 7311 - 7151 + 14463 + 2*f**2. What is a(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 19704928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4819 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4)\/((-27)\/(-36)). Let i(q) = -2*q. Let t be i(m). Suppose -t*p = p. Which is bigger: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8039 + -8034. What is the smallest value in 7, 44, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*y**5 + 29799*y**4 - 3249090*y**3 + 4324407*y**2 + 18035136*y - 7698780 = 0. What is y?\nAnswer: -2, 2\/5, 3, 159, 1345\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d = 16*d + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 100*j - 351. Determine l(5).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -248, -840, -2012, -3962?\n\"Answer: -33*q**3 + 7*q**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/17710522 and -15\/2?\nAnswer: 17710522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 11) to base 4.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/234 and 59\/1716.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9059809.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 less than -26368.74?\nAnswer: -26522.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:40 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*x = -8, 3*d - 3*x = -0*x - 15. Let l(q) = 4*q + 207*q**3 + 7 - 112*q**3 - 109*q**3 - 9*q**2. Is l(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:44 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 9:41 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8028753 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*o + 14*o - 10*o)*(-2*o + 2*o + 2*o**2).\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 400 = 5*g, 0 = 5*c - 4*g - 35 - 338. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008783 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224847 is divided by 269?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1759 - 1764. What is the third biggest value in 11, 2\/193, 3, c?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*w + 4*x, 2*w + 2*w + 4*x = 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/12 + (-2)\/(-4). Let w(y) = y**3 + 22*y**2 - 75*y - 3. Let n be w(-25). Let x = n + u. Which is smaller: -75 or x?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + -6*(-12)\/18. Calculate the highest common divisor of 65 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/25, -3\/4, 0.01, -0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/30)\/((-162)\/2160)*-6?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-156)\/533)\/((-114)\/2337).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u - 22*u - 15*u as x*u + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006064 to 7 decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46.91057 and 2.\nAnswer: 93.82114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 262.3 + -288. What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -q - 19*z + 24*z, -3*z = -4*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175030 is divided by 3360?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1129*w**3 - w**2 + 2*w + 2. Let o be z(-2). Let g = o + 198761\/22. Let u = 146081\/12 + -12181. Calculate the common denominator of g and u.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-98) - 741\/364)*(-4)\/(-5)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835659.\nAnswer: 3, 11, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l**(3\/8)*l*l)\/l)\/l))\/l)**(1\/14)*(l**3)**(-4\/27) assuming l is positive.\nAnswer: l**(-475\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**3\/3 - 5*a**2 - a + 37. Let r be f(-9). Calculate the greatest common divisor of 6 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3979.800046478 + -3979.8. Round q to 7 dps.\nAnswer: 0.0000465","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16578650?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/2723?\nAnswer: 2\/2723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*(-5)\/(30\/(-93)). Suppose 3*p + 40 = n. Suppose 77 = 4*z - w + p, w = 5*z - 62. Calculate the greatest common factor of 117 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijririfriirorirrrjr. Give prob of picking 1 f and 1 o.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 455 = -11*m - 2*v + 2*v, 127*v + 4 = 128*v for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 43*t**6\/15 - 3*t**4\/4 - t**2 + t + 2. What is the third derivative of u(h) wrt h?\nAnswer: 2064*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13629747*x**2 + 2*x + 6733870.\nAnswer: -27259494*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 405, 353, 267, 147, -7, -195?\n\"Answer: -17*j**2 - j + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let g(b) = 2*b**3 - b**2 - 5*b + 1. Let h(k) = -2*g(k) - 6*n(k). Let c(f) = -f**3 + f**2 + f + 1. Calculate 2*c(v) - h(v).\nAnswer: 2*v**3 - 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 39.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1438 + -450. What are the prime factors of l?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1222*y + 9021. Is m(-181) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 + 0*i**3 + 0*i**3 - 2*i**3 - 4 wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 18. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1258284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*m + 4. Suppose -4*k - m*a = -344, -5*k + 630 = -3*a + 222. Let s be (7 - -1)*k\/56. Calculate the highest common factor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24931 and 749.\nAnswer: 174517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) -5 (b) 3.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v + 2 + 5*v**2 - 6*v. Let l be g(-2). Let s = l + 105. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -1\/2, 0.2, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnoxoon. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 874 - 51565\/59. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -2 (b) -21 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17 + -36.\nAnswer: -35.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:52 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -55 - 341. Suppose 7*k - v = 4*k. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 4, a: 2, v: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130065 and 6440?\nAnswer: 7283640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - b**2 + 5. Suppose -3 = -5*l + s + 15, 3*l - 15 = 2*s. Let q be r(l). Differentiate -13*z**2 + 17*z - 6*z - q - 11*z with respect to z.\nAnswer: -26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34281884 divided by -659267\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 82 - 17 = -3*w, 4*w + 4*r = 140. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.377 + -7.623. Put 0.5, 0.2, g, -5 in decreasing order.\nAnswer: 0.5, 0.2, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*u - 66. Suppose 2*m = -4*v - 2*m + u, -m + 5 = 0. Let g = -63\/2 + 1303\/42. Do g and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-55)*(46 - 13)*1\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from lalllalllaa.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22981744*i**3*m**3*w + 2*i**3 - 1144*m**3*w - 6*m**3 - 20*m**2 + m*w + 2*m wrt i?\nAnswer: 68945232*i**2*m**3*w + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-224)\/616)\/((-6)\/(-33))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 - 217.1. Let d = q - 1.9. What is the nearest to d in -2\/9, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7420 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 7:14 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14248 - -14264. Solve -o = -5*u - p, -4*u + 5*u + p = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -84 (c) 0.2 (d) -775\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*x = 137 + 59, 0 = 2*p + 3*x - 91. Suppose 0 = 4*d - 121 + p. Solve 0 = 6*v - 4 - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -636603645 and 0.5.\nAnswer: -636603644.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -113 + 107 - (-2098)\/2 is divided by 60?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (177*l**2 - 352*l**2 + 189*l**2 - 14)*(1 - 1 - 2*l**2) to the form w*l**3 + t*l**4 + k + v*l + x*l**2 and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4018512 and 11328.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000191688 to 6 decimal places.\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84*51\/61812*(-4)\/14.\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -92*d**6\/3 + 33*d**4\/4 + 701*d. What is the third derivative of r(i) wrt i?\nAnswer: -22080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 3:58 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8566, -33863, -76090, -135301, -211550, -304891, -415378, -543065?\nAnswer: -688006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 250383180 divided by -12\nAnswer: -20865265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x**2 + x)*(-2*x**2 + 8*x**2 + 45*x**2) - 6*x**4 + 3*x**4 + 2*x**4.\nAnswer: 152*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163657275 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 9673\/2, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/73 (b) -22 (c) 0.4 (d) 0.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8240.617 litres?\nAnswer: 8240617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/35730 and 89\/414468.\nAnswer: 2072340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 606*d + 603*d = 5, -5*d = 2*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1106*s - 6128. Calculate the remainder when 1029 is divided by l(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 140*x**2 - 121*x + 9. Let n(k) = -35*k**2 + 30*k - 2. Suppose -4*w + 9 = -5*w. Let a(s) = w*n(s) - 2*c(s). Find the second derivative of a(r) wrt r.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 5*y - 6. Let f(m) = 2*m**3 + 6*m + 5. Let c(v) = 6*a(v) + 5*f(v). What is the derivative of c(z) wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*f)*(4*f**2 + 3*f**2 - 3*f**2 - 3*f**2 - 2*f**2 + 4*f**2 + (0*f - f + 0*f)*(-4*f + 0*f + 2*f) + 4*f**2 - 4*f**2 + 2*f**2).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 72*o**2 - 163*o - 916. Calculate c(-34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598 and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 1 - -3*(sqrt(2) - (2*sqrt(2) - sqrt(2))).\nAnswer: 1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-26))\/((-142)\/36300809) - (-4)\/(-26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 3. Suppose -25*i = -13*i - 48. Let f(n) = 11*n - 4. Let v(d) = -1. Let k(z) = f(z) + 2*v(z). What is i*k(h) + 9*j(h)?\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -5*g + 4*n + 85, 5*g - 86 = -4*n. Suppose u = -2*u + g. Solve 2*p + 4*j - u = 0, -j + 12 = 4*p - 4*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -66\/292811?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {j: 5, r: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 23155\nAnswer: 115775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273403992.\nAnswer: 2, 3, 83, 137251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3988916 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 3*t + 10*t in the form h + b*t and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -240285853?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (49 - (-2 - 0)) + 5. Suppose 0 = -4*v - 8 + z. What is the remainder when v is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-2))\/(-7))\/(4\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*h - 16 = 0, 5*u - h = -0 - 4. Let g = 0 + 0.1. What is the nearest to 1 in u, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 2:13 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 x, and 1 c when four letters picked without replacement from {y: 3, i: 3, v: 4, p: 4, c: 1, x: 2}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11195 + 11200. Put -2, 1433, f in ascending order.\nAnswer: -2, f, 1433","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/(-60)*15\/130)\/((-9)\/(-24)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 5. Let q be a(-3). Is (12\/(-78) - (-1083)\/26)*q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*s**2 + 26043*s - 26041*s - 2 - 9 - 23*s**2 as o*s**2 + r + y*s and give o.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 1547, 1159.\nAnswer: 0.13, 1159, 1547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 28*o + 12*o - 135 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/((-2)\/16). Suppose -5 = -q*p - p. Solve -p = n + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111.4 + 127. Let j = k - 0.6. Let o = j + -14.956. Round o to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/9*5\/10.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8266176439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203233?\nAnswer: 203233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83193687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Let s = 0 + -4. Let n(g) = g**2 + 4*g + 2. Let c be n(s). Is c at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11510040 - 11510092.00021. Let q = -52 - w. Round q to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.006 + 2.106. Let c be (-26)\/238 + 147\/(-833). What is the fourth biggest value in -0.1, i, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8924 divided by -201238\nAnswer: 4462\/100619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15975 or 303512\/19?\nAnswer: 303512\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = 2*n - 88, -u = -3*n + 134. Let m = n - 46. Which is the closest to 0.2? (a) 0.4 (b) 1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (74 - 74 + 5*c)*(c - c**2 - c) as q*c**3 + u + x*c + r*c**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) + sqrt(20)*4)**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l + 22. What are the prime factors of c(10)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -13*w + 3. Let s(a) = -20*a + 4. Let b(m) = 5*s(m) - 7*z(m). What is the derivative of b(v) wrt v?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 135864001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, c: 2}. What is prob of picking 1 c and 1 o?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3529 + -3530. Which is the closest to 6? (a) 0.1 (b) s (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -14, -23 in descending order.\nAnswer: -1, -3, -14, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 - 2*u**2 + u - 2. Let t(c) = -15*c**3 - 10*c**2 + 5*c - 11. Let a be 69\/(-46) - (14\/(-4) + 4). Give a*t(r) + 11*w(r).\nAnswer: -3*r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 16 = -4*v + v, 3*g - v - 7 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17868 = -63*y - 3693. What is the greatest common factor of 645 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/10 + 16761899*w\/10 + 1676190.\nAnswer: -(w - 16761900)*(w + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 6 = 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*i**3 + 58*c**2*i*x + 2*c*i**3*x - 49*c*i**2 + c*i*x - i*x wrt c?\nAnswer: 2*i**3 + 116*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1880 = -q - 2*q, -1268 = -2*q + 4*d. Suppose -l - q = -4*l. Is 47 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.3275 rounded to 0 dps?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -487\/7 + 2134\/35. Calculate the common denominator of -27\/8 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6531566 take away 0.2?\nAnswer: -6531566.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -130, -567, -1292, -2299, -3582?\n\"Answer: b**3 - 150*b**2 + 6*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (8 - -3) - -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*j - 12 + 154 + 521 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 + z**2 + 3*z**2)*(-2*z + 3*z - 2*z) - 1111*z**3 - 1088*z**3 + 2196*z**3 - 454 in the form f*z**2 + k*z**3 + m + h*z and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 841\/7 - 120. Let q = -3\/43 - -101\/215. What is the closest to -0.4 in q, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-2) + ((-15)\/60*40)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -259341 - 840659. What is r rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(16\/((-40)\/(-10)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/35)\/(4\/(-14)*92\/920) - 0.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -122 in -0.5, 0.02, -0.6, -0.16?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:14 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from iifscssisisiiis?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 1, u: 1, b: 8, o: 4}. What is prob of sequence ooo?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*b = -5*l + 1929, -2*l + b + 3863 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108430641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1059 and 1016640.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {f: 4, e: 3, v: 2, h: 1, t: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 213 = 3*z - 3*s, z - 205 = s. Suppose 2*j - j + c - z = 0, 5*c = j - 189. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(975) + 5*sqrt(39)*-3)\/((sqrt(2160) - (sqrt(2160) + sqrt(2160)*2))\/(sqrt(5) - sqrt(20)*-2)))**2.\nAnswer: 8125\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -4)\/(-3*1\/(-314)). Solve -11 - 11 + 11 - 184*m + 80*m**4 - 32*m**5 - t*m**2 - 13 + 174*m**3 = 0 for m.\nAnswer: -2, -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/132 + (3087\/(-252) - -12)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 16*p - 25. Let u be d(-5). Solve -3*f + 4*a - 7 = -4*f, -f - u*a = -9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = 9148*n - 9161*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3 = 18, 5*x + 1 = -2*a - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -9 - (1 + 2). Sort l, 0, 2.\nAnswer: 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 - 22044120?\nAnswer: -22044024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2444 times -1833?\nAnswer: 4479852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3\/5, 1\/4, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2299) - -4*((1*sqrt(2299) + sqrt(2299) - sqrt(2299)) + sqrt(2299) + sqrt(2299)))*-5.\nAnswer: 1430*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48254, -48327, -48406, -48491, -48582, -48679, -48782?\n\"Answer: -3*z**2 - 64*z - 48187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - o - 1. Let v(p) = -p**2 - 3*p - 9. Let m(k) = -2*c(k) + v(k). Let h = 5335 - 5330. Give m(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 10 = 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-5) + (-6)\/15. Suppose -o + 5*g = 3*g + 7, -15 = 4*o + 5*g. Let z be (4\/14)\/(8\/(-280)*o). Put -5, 3, t, z in decreasing order.\nAnswer: 3, z, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57.6, -16, -38, 0.2.\nAnswer: -38, -16, 0.2, 57.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 18*q = -18. Let i be 2*(-21)\/12*445714 + q. What is i rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*2*-4)\/(sqrt(88)\/(1*sqrt(8))) + ((1*sqrt(960))\/(sqrt(3) + 5*sqrt(9)\/sqrt(3)))**2.\nAnswer: -8*sqrt(5) + 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*m + 3*m + 2*m)*(3*m + 4 - 4) + m - 2*m**2 - m)*(-m - m + 0*m)*(-43 + 14*m + 43).\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3. Let q be (2\/(-3))\/((-8)\/12). Suppose 5*a + 6*p - 2*p = 70, -3*a - 5*p = -55. Calculate the least common multiple of w(q) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**2 + 4710. Let r(n) = n - 7*n - 4*n. Calculate r(w(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3862 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(684)*1 + -2)**2 + (-2 + 1 + sqrt(684) - sqrt(684) - sqrt(684) - sqrt(684) - (-1*sqrt(684) + -1)).\nAnswer: 42*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -6. Let a(w) = -w**2 - 10*w + 2. Calculate the remainder when a(r) is divided by 156\/11 + (-4)\/22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/40826 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164481 divided by -54827.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 3. Let n(h) = 299*h - 276. Give 92*a(i) + n(i).\nAnswer: 575*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373 - 395. Let n(v) = 4*v + 130. What is the remainder when 293 is divided by n(k)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26008645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 132*d**2 + 3*d. Let i(z) = -789*z - 787*z + 3157*z - 791*z - 794*z. What is n(i(b))?\nAnswer: 2112*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 11*z**2 + 10*z. Let d be h(10). Suppose -3*n + 22 + 74 = d. Calculate the remainder when 95 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d - 5 - 17*d + 17*d + 0 - 12. Determine a(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10 + 2 = 4*h, 4*z - 9 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 s when four letters picked without replacement from swswsswsswwww?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 4. Let n(x) = x - 9. Let m(a) = -2*n(a) - 5*u(a). Let g be m(2). Let w(y) = -2*y + 6 + 2*y**2 - g + y**3 + 5*y. Calculate w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 20*s + 32272 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -101.6340087485.\nAnswer: -101.6340087485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*f + 22009 = f, 0 = f + 2. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3\/6 + s**2\/2 - s\/6 - 1\/2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 317 + -313. Suppose 3*w + 9 = 6*w. Suppose -j*b + 5*i = -1013, w*i + 348 = b + 100. List the prime factors of b.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from rccaq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42623880443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17391835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**8\/24 - 43*c**7\/105 - 213*c**6\/140 - 619*c**5\/210 - 10*c**4\/3 - 16*c**3\/7 + c**2 + 65. Solve s(b) = 0.\nAnswer: -3, -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309903 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -14 - d**2 + 14. Let l(p) be the second derivative of -p**4\/6 - 6*p. Determine q(l(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 6. Suppose -4*k + o = -0*k + 16, -o = 0. Let a be d(k). Suppose -14 = -3*f + 4*f - 3*n, 2 = -5*f - a*n. Are -2 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 7*p - 36 = -2*k, 4*p + 8868 = -k + 8838 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -146*s**2 - 19746*s - 4876. What is m(-135)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3376a51 (base 11) to base 12\nAnswer: -1b8ba87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-14) - (-4)\/(-14). Suppose 4*g = z*g. Let u be 26\/4 + (-1)\/2. Solve -5*p - 15 = -5*w, 4*w - u + g = 2*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38\/3, 3, -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2070 - 1379. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 = 17*o + 335. Solve -m + 11*w - o*w = 19, -2*m + 3*w = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1136898 and 1\/80719758?\nAnswer: 80719758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 727102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8268 and 130?\nAnswer: 41340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:00 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 25*m**3 - 15*m**3 - 19*m**3 - 25*m**3 + 115*m**3 - 28*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16445739, -16445741, -16445743, -16445745?\nAnswer: -16445747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 3. Suppose 0*b = -4*b - 8. Let z be b*2 + 1 + -1. Determine g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 24*l**2 - 18*l + 9. What is the remainder when s(-5) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17919556?\nAnswer: 2, 4479889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21499087.\nAnswer: 103, 208729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1387*i + 29 + 1390*i + 2*i**2 - 2779*i - 4*i**3)*(3 - 1 + 1).\nAnswer: -12*i**3 + 6*i**2 - 6*i + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - q + 338, 5 = -q + 3. What is the remainder when i is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1176 + -824. Calculate the remainder when k is divided by 94.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1210 is divided by 123?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 356 = 4*j, -4*p - j + 500 - 211 = 0. Suppose p = b + 70. Suppose b*f = 4*r + 16, f - 2*f = r + 10. What is the closest to -0.1 in -3, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-6*d**2 + 15 - 15).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180651*r - 60 = -180681*r. Let w be (-122)\/(-14) - 4\/(-14). Solve -w*l = -r*l + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tts when three letters picked without replacement from {t: 5, s: 9}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g + 13*g - 10*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9054 and 13554.\nAnswer: 6817662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 92*r = 33*r + 150 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 268 + -178. What is the remainder when s is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) + sqrt(198) + (-1*((sqrt(198) - sqrt(198)*-2) + sqrt(198)) - sqrt(198)) + sqrt(198) + sqrt(198))\/(sqrt(88)\/(sqrt(8) - -2*1*sqrt(8))) + 2.\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -10. Let i be ((-11)\/(-22))\/(3 + -2). Sort -2, i, s.\nAnswer: s, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 9521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014228043891 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 18}. Give prob of sequence ln.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 3*d**2 + 0*d**2. Let x be h(-1). Suppose 5 = -x*l - 5*s, -l + s + 4 = -5. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, a: 5, p: 1, k: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-45) - 4\/(-15). What is the biggest value in y, 6, 1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppuppuuupupp. What is prob of picking 2 u and 2 p?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 2. Let h be y(-2). Let u(v) = -v**2 - v + h + 6*v + 10 + v. Let g be u(8). Does g = 4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514897931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**2 + 1911*d - 1906*d + 412 - 412.\nAnswer: -18*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(6)\/(sqrt(6)\/sqrt(32)))**2*3.\nAnswer: -24*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -39*i**2 + 200*i - 16. Let k be x(5). Solve -19 = -k*m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 (base 8) in base 5?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 + 2*r + 3. Let x(l) be the first derivative of 2*l**3\/3 + l**2\/2 + l - 46. Determine -2*h(o) + 5*x(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11736, 23440, 35144, 46848?\n\"Answer: 11704*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 139652*g - 19888440.\nAnswer: -4*(g - 34770)*(g - 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12942 and 2210206?\nAnswer: 19891854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/28 and -49\/594.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = 2*s - 96477, 0 = -s + 3*i + 48234. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v - 1. Let m be t(1). Suppose 2*r - 5 = m. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from {w: 3, b: 5, u: 3, v: 2, i: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:29 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 424465 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -36. Suppose j + 2*d = -4*j + 20, -5*d = j - l. Let x(v) be the second derivative of 5*v**3\/6 - v**2\/2 - 2*v. What is x(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -16*p**2 - 2397*p + 362. What is h(-150)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -144. Suppose -3*o - 5*q = -2*q - 51, -2*q + 79 = 5*o. What is the smallest common multiple of m and o?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + 81 - 113 - -12?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.668 - -0.432. Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3345*p - 48 - 56 + 167 - 63.\nAnswer: 3345*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3506 (b) -1529 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 3, 317.7, 4, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 4*r = 2*g - 5 + 60 - 1, 5*r - 25 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 0*h + 5*h + (2*h + 3 - 3)*(-2 + 0 + 0))*(-561 - 596 + 266) to v*h + c and give v.\nAnswer: 2673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 70 + -1714 + 1784?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-924)\/(-28 + -16) + -1 + 6*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 15*g**2 - 3*g - 13. Is v(-7) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 33193 + 15337. Is 55 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(4032) + -1 + -5 - (sqrt(4032) + 0 + sqrt(4032))*-3))**2.\nAnswer: -3024*sqrt(7) + 197649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 11*f**2 - 45*f - 54. Let h be g(-5). What is the highest common divisor of 4116 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -283 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4008985\/22 + 1913672\/11. Let m be 5502*(-4 + ((-18)\/(-4) - 2)). Let d = g - m. Find the common denominator of 21\/16 and d.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -302*a. Let x(w) be the second derivative of -5*w**3\/6 - 173*w. What is x(t(z))?\nAnswer: 1510*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 2*a - 72, -3589*a + 20 = -2*o - 3588*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59.2648583 + 0.2632383. Let t = s + 59. Round t to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -333\/77 + 125\/22. What is the common denominator of 2\/(-56)*(18\/(-15) - (-123026)\/8905) and m?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 851, 1816, 2781?\n\"Answer: 965*n - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + 28 + 27 + -194.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9\/4 + 7\/4. Which is bigger: p or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5707368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**4\/8 + k**3\/2 + 43*k**2 - 2*k. Determine o(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 2)*(-11 - -12). Suppose -4*n = 4*g, -6*n + 2*n - 18 = -q*g. Suppose 10 = 5*y - 10. Sort 2, y, g in descending order.\nAnswer: y, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*j*q**3 - 211*j*q**2 + 74*j + 22*q**4 + 50890*q wrt q.\nAnswer: 72*j*q - 422*j + 264*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((19\/12)\/(-19))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 4*d**2 + 3*d + 4. Let v(j) = j + 1. Let o(x) = -b(x) + 6*v(x). Let m be o(-3). Suppose -5 = -m*p + 11. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, -7, -2\/15, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60891 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30750 and 1150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 11*m**5\/30 - m**2 + 3*m. Let s(x) = -2*x**2 + 4*x**2 - 2*x**2 - x**2. What is i(s(d))?\nAnswer: 22*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88325132.\nAnswer: 2, 7, 17, 185557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6460360?\nAnswer: 2, 5, 373, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**(-23)))*q**8)\/(q**31*q*q\/(q*q\/(q\/q**(-24))*q)*q) assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 6*c**2. Calculate the remainder when (6 + 65\/(-2))*(0 - 2) is divided by i(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*j + 564, 175 - 458 = -g - 3*j. Suppose 3*d + g = 5*f + 8*d, -2*f + 121 = -d. What are the prime factors of f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, h: 1, k: 2, j: 3, p: 1, d: 4}. What is prob of sequence jjhj?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 2, -5, 0 in decreasing order.\nAnswer: 2, 0, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -1242, 2, 0 in descending order.\nAnswer: 5, 2, 0, -11, -1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44\/8)\/1*2. Let r = h + -10. Suppose 3 + r = -2*n. What is the nearest to -1 in n, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000697922 rounded to 5 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*p - 18*p - 5*t + 3, -5*p - 5*t = 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 47 - 61 = 0. Let i = y - 24. Suppose -16*a = 2*a - 414. Calculate the remainder when a is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 57*k**2 + 119*k + 59. Let o be g(59). Suppose 4*d - 612 = d. Let x = d - o. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80756177?\nAnswer: 73, 1106249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-9))\/(1\/6). Find the second derivative of -w + k*w + w**3 + w**3 wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116797 smaller than -116796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*y - 20 = 0, c + y = 5*y - 14. Suppose c = -p + 32. What is the highest common factor of p and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -1, 268459?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-2)*((-2254)\/(-588) - (-3)\/(-3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -10011101101100011?\nAnswer: 10011101101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - z = 0, -3*d - 3*z + 0*z = 12. Let n be (d\/(-6))\/((-7)\/21). Let q(f) = -1 - 4*f + 1 + 1. What is q(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17232 and 15474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most as big as 30619\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3822, -7642, -11462, -15282?\n\"Answer: -3820*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 10. Let y be q(-7). Suppose -3*o + 36 = -3*m, o + y*m - 24 = -o. Solve -4*s - 4 + o = 0, 5*s = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 2. Let p = -98 + 94. Give x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 14*y + 8. Let s be n(-13). Let f(q) = 3*q + 31. What are the prime factors of f(s)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 + 5*x**2 + 42*x + 88. Let v be h(6). Is -121 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289488 to the power of 1\/2, to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 47.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxkxcxxxxcxxxxkcxxxx. What is prob of picking 1 k and 2 x?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h. Let b = -291 + 293. Let v(p) = -4 + 21 - 6 - 11 - 108*p**b. Determine l(v(a)).\nAnswer: 324*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132303 - -20034?\nAnswer: 202342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j*j\/((j\/(j\/(j**(-2)\/j*j*j)))\/j)*j*j)**28\/(j\/j**1)**(-2\/9) assuming j is positive.\nAnswer: j**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 2*o**3)*(3*o**2 + 0*o**2 - 5*o**2) - 330*o - 1785*o**5 + 1787*o**5 - 358*o.\nAnswer: -2*o**5 - 688*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + -1)*(-72)\/5. Suppose 4*p - s = 108. Is p\/(4 + 10\/(-4)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-16 + -2 - (-200 - -167)) + 132\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6 + 3 + 36*l**3 - 72*l**3.\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -91, -115, -157, -223?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r + 160. Let t(g) = -g + 32. Let q(z) = -2*m(z) + 11*t(z). Let k be q(-13). Find a such that 27 + 11*a**2 + k*a**2 - 11 + 80*a + 6*a**2 = 0.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1040*h + 3. Let d(i) = -2023*i + 5. Determine -2*d(q) + 5*x(q).\nAnswer: -1154*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -904, -1299, -1622, -1849, -1956, -1919?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 - (-8 + 10) - 2 is divided by 52?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -73*m**2\/2 + 28*m + 53. What is the first derivative of h(o) wrt o?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/n*n\/n**(-2\/3)*(((n**(-1)*n)\/n)\/n)\/((n\/(n\/(n\/n**(-3\/8))*n))\/n) assuming n is positive.\nAnswer: n**(103\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 690.5, 570, 3 in descending order.\nAnswer: 690.5, 570, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000139739 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/827?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1299*j**4 - 16*j**2 - 206513*j - 1.\nAnswer: 15588*j**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w - 218*w**4 + 68 - 11*w + 4*w + 11*w wrt w.\nAnswer: -2616*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*h + 5*h + 82 = 0, -h - 3 = 0. What is the remainder when 74 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/29428 and -97\/5128880?\nAnswer: 35902160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (22 - 12) - 23\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5686598388 take away -0.4?\nAnswer: -5686598387.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 - 6 = n, 0 = 5*n + t + 76. Suppose -5*l = q + 65 - 70, 3*l + 4*q = -14. Calculate the remainder when (-18)\/n*(-10)\/(-3) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a minute in milliseconds?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/3)\/((-35)\/20 + (-18)\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 37068 and 0.338 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84252588 to the power of 1\/2, to the nearest integer?\nAnswer: 9179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -296, -295, -276, -233, -160?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.9 + 11. Let h = 0.2 + -0.2. Let p = 87\/5 + -17. Which is the closest to h? (a) 2 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 30 = 17*k - 18*k, 0 = -k - 3*m - 6. Calculate the remainder when (-12)\/k*(-948)\/(-8) is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1274340*t**3 - 55289*t**2 - 1 wrt t.\nAnswer: -7646040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-750)\/(-40) + (-1 + -1)\/(-8). Let s(b) = -b**2 + 26*b - 130. Let h be s(r). Sort h, 4, -1, 5 in ascending order.\nAnswer: -1, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 2*s - 79. Suppose 3*g = -5*b + s + 190, -2*b - 598 = -5*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/(-12))\/((-861)\/287)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0\/z)\/z)**(-2\/65)*z**(2\/11)*z*z**(1\/2)*(z**(-2\/5))**(-2\/85)*z**1\/(z**(1\/2)\/z) assuming z is positive.\nAnswer: z**(195817\/60775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3)*((p\/p**(-1))\/p)\/p)\/(p**(4\/3)*p*p**6\/p) assuming p is positive.\nAnswer: p**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 18\/7 - 6\/7*c**2 = 0 for c.\nAnswer: -2, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410141435 + 2?\nAnswer: -410141433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109689.999945901 + -109690. What is r rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4271*a**5 + 87*a**2 + 5*a + 2.\nAnswer: -256260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46234, -92464, -138704, -184960, -231238, -277544, -323884?\nAnswer: -370264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let n(j) = 17*j - 1100. What is -18*g(q) + 2*n(q)?\nAnswer: -2*q - 2200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-464)\/(-6960)*6\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6808 is divided by 3400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2352)*-2)**2 - sqrt(48) - (sqrt(48) + 0 + -5)**2) + 3 + -1.\nAnswer: 36*sqrt(3) + 9337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i + 3. Let n be q(0). Suppose -1 + 0 = l. Sort -6, l, n, 4 in increasing order.\nAnswer: -6, l, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 25. Suppose -212 = j*o - 7*o. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 42 = 5*z - 392, 0 = -2*z + t + 144. Let x = z - 65. Which is smaller: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 12*v + 18. Let x be n(-5). Let g = 50 + x. Let h(y) = y**2 - 2*y - 1. Let f be h(3). Solve g*i - 5 = -f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -3, -1, -294?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 35*b + 9432. Does 58 divide a(110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 44869405.\nAnswer: 403824645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -691 - -486. What are the prime factors of 2\/9 + 64\/(-288) - l?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 4)*(4*b + 4*b - 3*b)*(1 - 4 - 5)*(-1 + 2 + 1) to w + a*b and give a.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 598463 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (9450 - 4736 - 4732 - 3*v**2 + 5*v**3)*(v**2 + v**2 + 0*v**2).\nAnswer: 10*v**5 - 6*v**4 - 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 3)*(21 - 17*i - 21)*(-3*i - 4 + 4) + 7*i**2 - 5*i**2 + 5*i**2 in the form c*i**2 + z + d*i and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.75938 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/8 - l**2\/2 - 3*l\/8 + 9\/4 = 0 for l.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, k: 1, e: 1, y: 10, t: 2}. What is prob of sequence lyk?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31781839*i**2*r**3 + 194*i**2*r - 12767*r**2 wrt r?\nAnswer: 190691034*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m + 8. Suppose 24 = -4*h - 0*h. Let z(f) be the first derivative of -9*f**2\/2 - 7*f - 4995. What is h*n(w) - 7*z(w)?\nAnswer: 9*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-17)*(q**7*q)**(-21\/4))**(-15\/8) assuming q is positive.\nAnswer: q**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 123959\nAnswer: -45\/123959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 6*b**4 - 5 + (-2*b**3 + b**3 + 3*b**3)*(-2*b + b + 3*b) + 0*b - 2*b**4 + 0*b + 5*b**4 - 6*b**4 - 6*b**4 + 5*b**3 + 6*b**4 - 5*b**3.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0.003534 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14659 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533480*j - 533480*j + 32*j**3.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144648?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g - 2*g**3 + 4*g + 0*g + 1. Let b(o) = -o**2 - o - 1. Let f = -67 - -66. Calculate f*b(i) + d(i).\nAnswer: -2*i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s. Let u(m) = m**3 - 2*m**2 - 10*m - 4. Let k be u(-2). Let c(n) be the second derivative of -1\/6*n**3 + n + k + 0*n**2. Calculate c(d(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + g - 3*g = 30, -4*s - 5*g + 24 = 0. Let v = -4 + s. Suppose v*j + 3*j - 5*i - 325 = 0, 3*i = 5*j - 327. Does 33 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23719029*i - 15317756 wrt i.\nAnswer: 23719029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s - 2*y = 0, -4*y - 20 = -3*s. Suppose -51 = j - 57. Let c(w) = -101*w**3 + j*w**2 - s*w - 4 - 3*w + 102*w**3. What is c(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*k**2 + k**2 - 5*k**2)*(2*k**2 + 0*k**2 - 3*k**2) + 8*k**4 - 6*k**4 + 19*k**4)*(k + 2*k - 2*k - 2).\nAnswer: 22*k**5 - 44*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*h + 0 + 0.\nAnswer: 49*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a = 14*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from ciioooqoiqdc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002724224 to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 172, 350, 838, 1792, 3368?\n\"Answer: 26*p**3 - p**2 - p + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 190\/8 - 1\/(-4). Suppose 0 = -14*j - 2256 + 8696. Let t = j - 437. Is t >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*q - 7*q. Let u be -4 - -3 - (-1 + -4). Solve 2*p = 3*p - 2*y - 9, q = -p - u*y - 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 8*j + 7. Let h be s(-7). Let k(g) = -g + 5. Let t be k(h). Which is smaller: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49113 + 94060. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22557, -45054, -67551, -90048, -112545, -135042?\n\"Answer: -22497*z - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + (3 - 2) + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193988585 - 193984403 = 102*l for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 505913*z**3 + 242682?\nAnswer: 1517739*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-532)\/152*(-16)\/(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78833\/6612 + -10\/1653. Suppose 0 = f - 0*c - c + 1, 0 = 3*f + 4*c + 10. What is the common denominator of 50\/3*f\/6 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526465916?\nAnswer: 2, 293, 449203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*g - 4*d, 3*g - 8 + 3 = -d. Let z(o) = -o. Let n(a) = -6*a. Let b(c) = -6*n(c) + 44*z(c). Determine b(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-1))\/(12\/18 + -1). Let v*c**2 + 4*c**2 - 12*c - 3*c + 13*c = 0. What is c?\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 75 + 347. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from {h: 2, s: 11, q: 6}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v**10\/v)\/v)\/v*v)\/((v\/((v*(v\/(v*v**9*v))\/v)\/v))\/v)*(v\/((v\/(v**(1\/8)*v))\/v))\/((v*v**(-2))\/v) assuming v is positive.\nAnswer: v**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -u + 4, 0 = 7*u - 9*u - 4*o + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l. Suppose l = i - 2 - 1. Let k be 12*2\/4 - 3. What is the greatest common factor of k and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 92*z - 430. Calculate x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274.9 - -275. Let r(o) = -o**2 + 25*o - 73. Let i be r(20). Which is the nearest to p? (a) -2 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17400625829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11724 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9174 + 25.76525.\nAnswer: 27.68265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (97\/3*1)\/((-1)\/(-3)). Let g = 100 - d. Solve -8 = -g*v + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -27*n**3 - 17*n**2 + 42*n + 1. Let f be x(2). Suppose 11*h + 1253 = -936. Are f and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 8 = 36. Solve -3*a = -2*a + w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 414145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 232 - 53. What are the prime factors of j?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3915 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9*-979140\nAnswer: -8812260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 9*u - 6. Determine f(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - -42013?\nAnswer: 42044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*u - 5. Let o = 10 + -3. Suppose o*s = u*s. Let y(h) = -h - 2. Give y(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 4*u - 12. What is z(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-193)\/14 - (-1712)\/749\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44296 + -4\nAnswer: 44292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35499098, -35499081, -35499064, -35499047?\n\"Answer: 17*q - 35499115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x + 2 - 2)*(3 - 2 - 2)*(-16 - 2*x + 16) in the form b + c*x**2 + h*x and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20211110 - -112?\nAnswer: 20211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*f**3 - 3*f**3 - 2*f**3 + 1)*(-1 + 1 + 1)*(6392*f + 71*f**2 - 6392*f).\nAnswer: 1136*f**5 + 71*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123459*x**3 - 88456*x**3 - 88439*x**3 + 300339*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 92.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -6 (b) -5\/3 (c) -28 (d) -1\/3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83999?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/126*1\/4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 3588, 0.1, -157?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4474 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {w: 3, p: 3, e: 3, l: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13321 - 13318. Put -1, r, 0, -3\/23 in descending order.\nAnswer: r, 0, -3\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 + 4 - 2)*(2 - 2 - g) - 2*g + g - g)*(-2*g**3 + g**3 + 0*g**3 + (-g + g - 2*g)*(-g**2 + 0*g**2 - g**2)).\nAnswer: -33*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 29 + 66)*(5*n - 3*n + n**2 - 2*n**2).\nAnswer: -187*n**2 + 374*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 10, -1\/16, 0.2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2545ac3 - -5?\nAnswer: 2545ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 1 + 1 + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*g - 308*g - 25*g**2.\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12112 = -998*z - 5517 + 20351 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 45*s - 17. Let a be h(-3). Let k = -69 - a. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-4 + 2)*1). Let k = 6 + j. Suppose 0 = -k*b - 4*s + 10 + 17, -s = -3*b + 23. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 665388.864ms?\nAnswer: 0.00110018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 3 + 0 + 4 + 18 to w*v + f*v**2 + m and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/21 and -17\/237.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 4, v: 2, e: 3}. What is prob of sequence eg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 11:39 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/24 + 3\/18*2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2825?\nAnswer: 2825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.061 - 0.561. Let j = -97 - -1263\/13. Which is the third biggest value? (a) 1 (b) f (c) j (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208598901 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (5 + -2)\/1. Suppose -k*f - 4*l + 6*l + 14 = 0, -2*l = 4. Differentiate 0 - 9*c**2 + f + 9*c**2 + 5*c**4 with respect to c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -1 - (1 + -3). Suppose z - o = -1. Let b = 8 - z. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.04, -1\/5, 0 in decreasing order.\nAnswer: 0, -1\/5, -2.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/7 - 20914*d**2\/7 - 54684880*d\/7 - 54663968\/7 = 0. What is d?\nAnswer: -5228, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 0.2 (c) 2 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-544)\/102 - (-2)\/3*-3 - -7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/16 - 12\/80?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/3904 and 73\/105.\nAnswer: 409920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25, 8, -2 in ascending order.\nAnswer: -25, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*q - 148 - 54, 3*p - 281 = -q. Calculate the remainder when p is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 0*i**2 + 2*i**2 + 3*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((3\/7)\/(1458\/84)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2)*-1*6\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94628415 to the power of 1\/2, to the nearest integer?\nAnswer: 9728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(832) + sqrt(832) + 2 - sqrt(832)) + -2 + 4*((sqrt(832) + 3 - sqrt(832) - sqrt(832)) + sqrt(832)))*6*6)**2.\nAnswer: 248832*sqrt(13) + 1264896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -109998, -109996, -109994, -109992?\n\"Answer: 2*n - 110000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15732791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -177, -386, -677, -1050, -1505, -2042?\nAnswer: -2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000803 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3 + 9. Let f = 5 + -2. Let j(q) = 0*q - 5*q**2 + f*q + q**z + 6 + 3*q - 8*q. Calculate j(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4388*a**2. Let q(v) = 2*v**2 - 12*v. Determine q(o(z)).\nAnswer: 38509088*z**4 - 52656*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -33353151014?\nAnswer: 33353151023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -69. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1645242753 and -1645242753 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:09 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:23 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**6 + r**3 + 1. Let w(y) = 5*y**6 + 3*y**3 + y**2 + 3. Let c(h) = 3*n(h) - w(h). Find the third derivative of c(z) wrt z.\nAnswer: -960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, h: 3}. Give prob of picking 2 h and 2 s.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.741933ns in seconds?\nAnswer: 0.000000005741933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*(7 - 3)*4\/(-8). Sort 1, -350, -4, o in ascending order.\nAnswer: -350, -4, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**2 + 2 + 9*t**2 - 2. Let o(v) = 0*v - v + v - 2*v. Give o(r(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 7) + -12 - (-13 + 3 - -48)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from quvqvqqqvu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -f - 6. Let h = f + 37\/3. Solve 0 + 1\/3*o**2 + 0*o - 1\/3*o**4 + 1\/3*o**5 - h*o**3 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*(u*u\/(u*u**(1\/2)*u))\/u*u))**(-2\/45)\/(u**(1\/9)*u**(-8\/7)*u*u) assuming u is positive.\nAnswer: u**(-298\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 19 + (-22)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-20))\/(6 + 118\/(-20)). Suppose -4*y = i*d, 5 - 9 = 2*d. Let a = 7 - -2. Solve 0*u + u + 5*k = a, -y*u + k = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31122301 (base 4) to base 11.\nAnswer: 38325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 + -70. Let w = l + -243. Let p = w + 142.2. What is p rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 2*j - 8. Suppose -j*a = -3*a. Factor 4\/3 + a*m**2 + 2\/3*m**3 - 2*m.\nAnswer: 2*(m - 1)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 14*p**2 + 1. Let t be s(14). What is the common denominator of -74\/9 and (t\/(-4))\/(4\/392)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -2 - -18 - 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-5 + -1)) + 9 - (86 + (-10 - -13)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/90)\/((-6)\/30). Which is the second biggest value? (a) h (b) -4 (c) -2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2482*n - 2480*n + 119424 = 0, -3*m = n - 179104. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29811385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 1\/20*r**5 + 0 - 3*r + 0*r**3 + 0*r**2 + 1\/3*r**4. Find the third derivative of j(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/24 + c**2 - 20. Let f(o) = 47*o**3 - 2*o**2 + 17*o. Let j(d) = -f(d) + 4*g(d). Find the third derivative of j(r) wrt r.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/61)*(a\/(a\/(a\/(a**(1\/13)\/a)*a))*a)\/a)\/(a**20\/((a**(-2\/27)*a)\/a)) assuming a is positive.\nAnswer: a**(-366518\/21411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 170 = 4*i, 229 = 4*m + 5*i - 8. Suppose m = -0*a + 2*a. Calculate the remainder when a is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -16. Suppose w = r - 1, w + w = g*r - 14. Suppose -r*o - 16 = -0*o. Sort o, -8, 2 in decreasing order.\nAnswer: 2, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/84)\/((-2)\/3). Let q(a) = a**3 - 22*a**2 + 43*a - 65. Let t be q(20). What is the third biggest value in g, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 6*t**2 + 5*t - 4. Let u be h(-4). Calculate the greatest common factor of 60 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374 by -17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -103. Let p = n + -66. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 22*v - 1. Let q be h(1). Suppose -3*a + 15 = -q. Let w = 30 + -7. Calculate the remainder when w is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5814*r**4\/5 - 5305287*r**3\/5 - 29361378*r**2\/5 + 3214476*r - 33048\/5 = 0.\nAnswer: -6, 2\/969, 1\/2, 918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nux. Give prob of sequence uxn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 - 79514\/1245 - (248\/(-165) - -2)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 4. Let b be o(6). Let n(z) = -z - 5. Let t be n(b). Let w(l) = l**2 - 3*l + 4. Determine w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -270843430*r + 270843430*r + 5405 - 400*r**2 wrt r.\nAnswer: -800*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 6:13 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -952 (b) 0 (c) 5 (d) 6\/19 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -0.5, 11872, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 26 = 4. Let u = -13 + t. Suppose -200 = -2*k - 5*i, u*i = i + 2. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b**2 - 19*b**4 - 2*b**2 - 1 + 22*b**4 + 286*b**3 + 7*b**2 to h*b**2 + o*b**4 + x*b + c*b**3 + i and give c.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0573 - 620?\nAnswer: -620.0573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 + -56 + -33 - (13 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1724 divided by -9899\nAnswer: 1724\/9899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/42 + 1 - (0 + 1) and -73\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -3*k - 8*x - 12, -5*x + 4 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3011943 divided by -2?\nAnswer: -3011943\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/5 in 4, -59, -5, 38, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37784 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -27041883.2 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 2:24 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2019940 - -5?\nAnswer: 2019945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 + 2*a**2 + 2*a + 1. Let n be m(-1). Suppose 0 = 5*x - 2*w - 177, 2*x + 4*w - 26 - 40 = 0. Let i = -23 + x. Solve -n*v + 2*v + i = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 9, d: 4, n: 3}. What is prob of picking 4 m?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/20 and -37\/315.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 180 = 4*b + b, 5*w = 5*b + 180. Let v = 59 + b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**8\/6720 + z**7\/1260 - z**4\/3 - 2*z. Let a(m) be the third derivative of l(m). Find the third derivative of a(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 118*f**2 + 38*f**2 + 0 + 4*f - 1 + f. Is p(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwtwzwe. Give prob of sequence xz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 113\/2. Let f(w) be the second derivative of -w**3\/6 - 3*w**2 - 2*w. Let r be f(0). Which is the smallest value? (a) r (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j - 67. What is y(7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -17 - (11 + (-4 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6294129566 minus 87.1?\nAnswer: -6294129653.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26922*s**3 + 5*s**2 - 5607208.\nAnswer: 80766*s**2 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112830 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/238 + 4295\/2618. What is the common denominator of s and (244\/(-30))\/(24\/10)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b - 27. Let w be k(-5). Suppose c - 81 = -w*c. What is the remainder when 24 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7607141 - -6986389?\nAnswer: -620752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -303030032 (base 6) to base 16\nAnswer: -4f1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 480 = -4*r, -596 = -3*f - 2*f + 4*r. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 3*z**2 - 2*z + 2. Let t(d) = -2*d - 20. Let b be t(-10). Suppose 3*f + 9 = -4*y + y, f - 4*y - 22 = b. Calculate s(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (205822 - 205822 - 367*f**2)*(0 - f + 0).\nAnswer: 367*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2772715711 to the nearest 1000000.\nAnswer: 2773000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033 - 376519885.\nAnswer: -376519885.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -37a853 (base 12) to base 8\nAnswer: -3361477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - 31*2\/(-42). Which is the closest to -0.3? (a) l (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -60*w. Let j(c) = -27*c**2. What is j(z(a))?\nAnswer: -97200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 0.08?\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 202885460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336827 is divided by 67.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92701 - -647852\/7. Let c = w - -151. Sort 0.5, -2\/5, c in descending order.\nAnswer: 0.5, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:37 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 2988.3927?\nAnswer: -3586.07124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**12\/b*b*b*b*b*b)**(-12)*(b*(b**23\/b*b)\/b)\/(b**(1\/4)\/b))**(1\/35) assuming b is positive.\nAnswer: b**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412, -411, -410, -409, -408, -407?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 237*r - 4*r**3 - r**3 - 241*r. Let f(x) = -x**2. Calculate f(z(n)).\nAnswer: -900*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(3\/11))\/(((q**(6\/11)*q)\/q)\/q)*(q*q**(-21))\/(q**(2\/45)\/q) assuming q is positive.\nAnswer: q**(-8077\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -96fc7 (base 16) in base 9?\nAnswer: -1142304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 188 = -v, -5*t + 0*t + 4*v = -325. Suppose 3*z = 2*z + t. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(sqrt(63)*3 + sqrt(7))*-1*-5*6)**2.\nAnswer: 40320000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.218 + 0.218. Which is the fourth biggest value? (a) -1\/7 (b) 0.05 (c) s (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -542, -1786, -3852, -6734, -10426?\n\"Answer: p**3 - 417*p**2 - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290\/157 - -23686\/15543. Find the common denominator of 1\/341 and h.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378928 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -5, -36 in decreasing order.\nAnswer: 5, -0.4, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1, -0.24.\nAnswer: -1, -0.24, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 20. Suppose x*c - c = 1326. Calculate the remainder when c is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.28, 3\/7, 16, 1\/12, -5 in increasing order.\nAnswer: -5, 1\/12, 0.28, 3\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/20)\/((-6)\/(-20)). What is the first derivative of -c*d**2 + 1 - 6 + 1 wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**3*t**3*y**3 - 2*h**3*t**2 + 25*h**3*t*y**3 - 3*h*t**3*y**2 + h*t*y**2 - 6*y**2 wrt y?\nAnswer: -36*h**3*t**3 + 150*h**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/3)*o*o*o\/(o*o**(-19\/4)\/o))\/(o**(2\/7)\/o*o**(-19)) assuming o is positive.\nAnswer: o**(2503\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*b**3 - 14*b + 76 - 39*b**3 - 78 - 240*b**4 wrt b?\nAnswer: -2880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 0.2 (c) -400\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 2*m - 3*f, -2*f + 5*f + 9 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 19*x + 15. Calculate k(-5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4896 divided by -6.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**3\/6 + 36*n + 12. Let z(r) be the first derivative of g(r). Let c(x) = 12*x + 3. Calculate z(c(v)).\nAnswer: -12*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 3*x + 14. Let i be s(9). Let j be ((-9)\/(-6))\/(15\/i). Let h be 15*j*35\/(-50). What is the greatest common divisor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 z when four letters picked without replacement from qjjqqjz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s + 12. Let c(b) be the third derivative of -b**4\/12 + 11*b**3\/6 + 2*b**2 - 94. Let w be c(s). What is the highest common factor of 69 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2))\/v*v\/(v\/(v\/v**(-6)))*(v\/((v\/(v*v\/((v*v**1\/v)\/v)))\/v)*v)**(-2\/39) assuming v is positive.\nAnswer: v**(187\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-51)\/(-340))\/(1\/8). Let c be (3\/(-20))\/(1\/(-12)). Determine l, given that 3\/5 - c*l + x*l**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3\/5 + 56*o**2 - 5468*o\/5 - 6384 = 0?\nAnswer: -14\/3, 38, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238474 by 73.\nAnswer: -238474\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1565 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 93 + 54 = 0. Let y = w + 21. Let d(r) = 6*r**2 + 3*r - 10*r + y + 2*r - 5. Let g(b) = 3*b**2 - 3*b - 3. Calculate -3*d(t) + 5*g(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from twtwctgtc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 1 - -6 - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110123706 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2 - 1. Let m be (n + 46)\/((-132)\/27 + 5). Let p be 1\/4 + m\/36. Solve -2*y = y + p, -32 = 5*h + 3*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-20) - (-1575)\/(-6). Let r = 89 - o. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 87, 138, 195, 258?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142267 is divided by 456.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = h - 0, 3*z = 9. Solve 0 = h*r - 3*s - 3, 2*r + 13 = 5*r + s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 1:35 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 9*r**2 + 31*r - 80. Calculate j(9).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5993802?\nAnswer: 2, 3, 332989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 28, 3*v - 73 - 4 = -f. Solve 164 = 11*h + f for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(170) + 3*(3*sqrt(170) - sqrt(170))))\/(-2*-3*sqrt(30)\/sqrt(3)).\nAnswer: 70*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -5, -19, -17, -4 in descending order.\nAnswer: 6, -2, -4, -5, -17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-15) - 2154\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3783, 7555, 11303, 15027, 18727, 22403, 26055?\nAnswer: 29683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16168 is divided by 4039?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3463, -24052, -79927, -188728, -368095, -635668, -1009087?\nAnswer: -1505992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**19*c)\/c*c**(-17)*c**(1\/8)\/c**(2\/71))**(2\/9) assuming c is positive.\nAnswer: c**(397\/852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -173 - -254. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91107 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3093 - -3094.39. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60588)\/270)\/((-6)\/(-4)). Let s = 19961\/135 + h. Find the common denominator of s and -59\/153.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90\/42 + 2789520\/56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a**2 + 5*a**3 - 25*a**2 + 50*a**2.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 1 u when three letters picked without replacement from {x: 5, i: 2, a: 5, u: 5, t: 2}.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 8, -3*x + 43*p + 281 = 45*p. What is the greatest common divisor of x and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z - 6 = 0. Suppose -43 - 59 = -z*f. Calculate the remainder when f is divided by ((-14)\/21)\/((-2)\/36).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13073\/20 != 653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*a - 26 = 0, -4*d + 68 = a + 3*a. Suppose -d = -3*p - 4*b, 3*b - 21 = -2*p - 2*p. What is the remainder when 10 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*t**3 - 181*t**2 + 181*t**2)*((1 + 0 - 3)*(0 + 1 + 2) - 5 + 0 + 1).\nAnswer: 430*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let t(w) = w**2 - w + 1. Let s be -3 + (-1 - -2)\/1. What is s*t(c) - b(c)?\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/115 and (-37)\/20 + (-28)\/(-224).\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29\/9*r**2 - 3*r**4 - 4*r**5 + 37\/9*r**3 - 1\/9*r - 2\/9 = 0.\nAnswer: -1, -2\/3, -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 14*o - 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 687620 to the power of 1\/2, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33770 and 649612.\nAnswer: 35728660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 1, l: 1, y: 3, m: 3, d: 1}. Give prob of sequence li.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273800*l**4 + 32312840*l**3 - 32558538*l**2 + 521604*l - 2106 = 0. What is l?\nAnswer: 3\/370, 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + (-29 - -24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 5. Let q be f(5). Suppose -m - 2*m = q. Suppose -2*j = -2*g - 16, g + 5*j = 3*j + 4. Which is bigger: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-130)\/6 + (-1)\/3. Let f = 317 - 317. Let h be (-3 - f - v)*1. Solve 2*c + h = -c - 2*u, c + 15 = -5*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:47 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 7. Let j = l + 11. What is the derivative of -1 + 2*o**4 + j*o**4 - 5*o**4 wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 18 - 7 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 176, -1, -28, -34, 2 in ascending order.\nAnswer: -34, -28, -18, -1, 2, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/q**(6\/7))\/q))\/q**(5\/3))\/(q*q\/(q*q**(-2)*q*q))**(-11)*((q*q**(-3))\/q**(2\/15))**(-7\/4) assuming q is positive.\nAnswer: q**(1567\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*r + 868 = -1256. Solve 0 = r*z - 30 + 78 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2. Let z be 5\/(-1)*(-3 + 2). Let f(u) = 27*u. Let c(m) = 28*m. Let j = 2268 + -2272. Let i(w) = j*c(w) + z*f(w). What is r(i(v))?\nAnswer: 1058*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2\/7 + 849*z\/7 - 5202\/7 = 0. What is z?\nAnswer: -289, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -763.8 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*h**2)*(5 + 0 + 0)*(-3 + 3 + 1)*(-2 + 0 - 1)*(4*h - 2*h - h).\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + b = 5*p - 16, 4*b = 4*p - 16. Let r(z) = p + z - 3 + z. What is the units digit of r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (131\/15 - (-13 + -3)\/(-2)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 12. Let a be b(-9). Let z = a + 5. Suppose -5*u + 4*n = 38 + 95, z*u = 2*n - 54. What is the common denominator of -5\/7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from {j: 2, g: 2, h: 1, d: 1, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:06 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 20*v**3\/19 - 518*v**2\/19 - 52*v\/19 = 0.\nAnswer: -1\/10, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 93*n - 3*n**2 - 1659*n.\nAnswer: -n**2 - 1566*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 32 + 51 = -46 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.491 - 0.279. What is d rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 657223760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -25*r**2 + 279*r + 63. Determine f(11).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.3 + -20.3. Sort 0.4, l, -3\/4, 0.08 in ascending order.\nAnswer: l, -3\/4, 0.08, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18720 and 827856.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25876 - -25868.9988. Let i = 7 + l. What is i rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -5*p + 79 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11995 + -12145.05. Which is smaller: i or -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820486033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103141 or -103142?\nAnswer: -103142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -9154?\nAnswer: 1\/9154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*x + 3*x - 8, 0 = -v + 5*x + 19. Let y be (3\/v)\/(2\/(-6)). Let m(i) = i**2 - i. Let p(t) = -3*t - 1 - 7*t - 8*t + 19*t. Calculate y*p(a) - m(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.5 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-12))\/(4\/32*2). Let z(h) = 3*h**2 + 8*h - 1. Let k be z(-5). Suppose -5 = 33*c - k*c. Calculate the highest common divisor of t and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 27453*o + 54830. Determine j(-2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 5*m + 19*m)*(4*m**2 - 7*m**2 - m**2)*(11*m - 11*m - 2*m**2).\nAnswer: 192*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*((sqrt(108) - (sqrt(108) + sqrt(108)*-2)) + 5) + sqrt(108) + 1*sqrt(108) + 5 + (sqrt(108) + 1)*-2)**2.\nAnswer: 2496*sqrt(3) + 7588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 + 2 = -y, -2*y = 5*z + 20. Let c(j) = -3*j + 2. Let u be c(z). Solve 0 = -4*w - u + 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3600)\/(-16500)*2\/(-12))\/((-190)\/(-50)).\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 692 - 679. What is the remainder when 272 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -10. Let s = 5.9 - m. Which is the closest to -2? (a) 3\/5 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjvj when four letters picked without replacement from {v: 15, j: 5}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -72*s**2 + 21*s + 36. Let h be n(-5). Let i = h + 1878. Let d = 2 + 0. What is the lowest common multiple of i and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8*-1)\/((-51)\/(-52020)*-3)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -351, -349, -345, -339, -331, -321?\n\"Answer: g**2 - g - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 896 and 2304?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 138565364 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 12879600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3933 and 39.\nAnswer: 51129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -6. Let d = k + -23. Solve -d*g + 7*g = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/12))\/(c*c*c**13)*((c\/(((c**10\/c)\/c)\/c))\/c)**(3\/20))**(3\/31) assuming c is positive.\nAnswer: c**(-449\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18078033?\nAnswer: 3, 47, 128213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 114.95 and -0.4.\nAnswer: 114.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*o + 162 = 92*o + 7*o. What is the fifth biggest value in 3, 2695, -3\/2, o, -1\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1018)\/(-6) + 3\/9. Let z be (4*-2)\/(4\/50). Let r = z + v. Calculate the highest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5295 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 - 7*g + 5. Let a(p) = p**2 - p. Let f(c) = -2*c**2 + c + 2. Let y(j) = -4*a(j) - f(j). What is -2*m(l) - 5*y(l)?\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from dnndndddnddduddu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 15. Let a be y(-10). Suppose -11 = 2*j + 5*x, -x + 2*x = -j - 1. Suppose 4*v = 6*n - n + 37, -4*v + 3*n = -27. Put a, j, v in ascending order.\nAnswer: j, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 161000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6735621 (base 8) to base 6.\nAnswer: -102542145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 1849, 4210, 7493, 11692, 16801?\nAnswer: 22814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = l - 4*y, 7*l - 83 + 41 - 79 = -4*y for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from lzlecctev?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-153)\/17))\/((-4)\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - ((3 - 2) + -1). Let a(s) = s**2 - 2*s - 19. Let c be a(q). Solve -c*t - 20 = -5*x, 5*t - 3*x + 14 = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9577020708.077 - -9575717689.07800029. Let b = 1302990.999 + g. Let f = b - -28. Round f to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -1 - (24 - 22) - (-3 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 11. What is d(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-27)\/2 + -2)\/(3\/(-30)). Sort l, -5, -0.3, -0.4.\nAnswer: -5, -0.4, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**3 + 6*f**2 - 17. Let g(w) = -2*w**2 + 3. What is -3*g(c) - r(c)?\nAnswer: 7*c**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -6954.\nAnswer: -6958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*i**3 + 16*i**3 - 45*i**3.\nAnswer: -97*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6379979 to the nearest integer?\nAnswer: 2526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = -2*b + 5, -2*b - 34 = 3*w. Let k(q) = -q**2 - 9*q - 12. Let m be k(w). Let o(d) = 2*d**2 - d**3 + 2*d**2 + 2 + 3*d - 7*d**2. Calculate o(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 868973983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4848 - 4846. Let p be 5\/((-2)\/4*-12). What is the nearest to r in 0.5, 0.4, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 27 = 2*j. Let c be 36\/(-10) + j\/15. Let r be (28\/21)\/((-1)\/c). Solve -15 = l - r*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4 + 464*x**3\/5 - 6794*x**2\/5 + 33004*x\/5 - 12144\/5 = 0.\nAnswer: 2\/5, 11, 12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Suppose a*q = -6, -6*c = -2*c - 3*q + 14. Calculate the remainder when (-5)\/(c\/2) + 1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/48412 and -127\/70.\nAnswer: 242060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 2. Let f be i(-2). Let j = -7 - -11. Let l = 3 - j. Sort l, f, -0.1 in ascending order.\nAnswer: l, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 73*f + 21. Let b be y(8). Find the second derivative of -68*c**3 - 605*c**2 - 5 + b*c**2 - 8*c + 5*c**3 wrt c.\nAnswer: -378*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 47746177257?\nAnswer: 47746177259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.022395211 and -676144.\nAnswer: -676144.022395211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 1 w when three letters picked without replacement from {e: 2, j: 1, n: 2, u: 1, w: 1, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 30, 5, -2, 134, 1, -25.\nAnswer: -25, -5, -2, 1, 5, 30, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8*o - 81 = 0. Let a be o\/(-6)*(-10)\/15. Suppose 3*k + 13 - 73 = 0. Solve -4*d - k = 0, -4*d - a = -5*x + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 4:27 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 26*o. Let c(l) = 5*l - 7. Let m(u) = -12 + 29 - 14 - 2*u. Let b(a) = 6*c(a) + 14*m(a). Give b(z(d)).\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58481865 by 1499535.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 12*z + 5*o + 50 = -99, 4*o = -3*z - 110 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 1\/2, -2\/39, 1388.\nAnswer: -2\/39, 1\/2, 34, 1388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 702347 and -845.\nAnswer: 701502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -1479, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {l: 3, s: 4, j: 3, k: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4642*s**5 - 1289*s**2?\nAnswer: 278520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 - 24*f - 22. Let p(h) be the second derivative of -h**4\/12 + h**3\/6 + h**2\/2 + 227*h. Let v(i) = -4*p(i) + 2*s(i). Factor v(y).\nAnswer: -4*(y + 1)*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/56 and 57\/17080.\nAnswer: 17080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 365306 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/21 - 20\/(-6). Suppose -x*g + g + 168 = 5*v, -5*g - 39 = -v. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.08815 to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/21 and ((-2)\/108)\/((-5)\/(-190)).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21411032 (base 5) to base 6.\nAnswer: -3545050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.13 (b) 22 (c) 2\/79 (d) -12 (e) 1\/6 (f) 4\/9 (g) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1839 + -9196\/5. Put u, -1, 2\/13 in descending order.\nAnswer: 2\/13, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + m)*((3 + 2 - 3)*(3*m**2 - 2*m**2 + 0*m**2) + (2*m**2 + 2*m**2 + 2*m**2)*(-3 + 0 + 2) + 13*m**2 + 4*m**2 - m**2).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4 (c) -257857\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 550.9415 litres?\nAnswer: 550941.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*o**4 + 87*o**4 + 194*o**4)*(3 + 0 - 1) to the form c*o**3 + w*o**4 + l*o + p*o**2 + b and give w.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 7 + 1)*(-2*l + l - l) - l - 3 + 3 + 3 - 3 - l)*(-4*l + l - l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028359 to five decimal places.\nAnswer: -0.00284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s**2 - 3*s + 9. Give o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2485*i**2 + 3262027812*i - 3262027812*i.\nAnswer: 2485*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - 991 - 1092 + 1947 to the form v*g + r and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 5*n**2 - 5*n + 2. Suppose 4*o - 2 = 5*o. Let c be (3\/o)\/((-10)\/20). Give g(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*a**2 + 28*a**2 + 19*a**2 + 3 + 6*a**3 - 3*a + 3 to the form d*a**2 + k*a + h + j*a**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*r + 210, -3*r + 189 = 5*o - 129. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 37. Solve 2*h - w = -h - 2*b, -2*b = 2*h - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w = 117*w - 1211 + 298 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 423, 821, 1219?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 2)\/2 - 1*83. Let s = 81 + y. Suppose -g + 256 = 5*t, -3*g = -s*t + 2*t - 105. Calculate the remainder when 200 is divided by t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**5 + 2*w**5 + 2*w**5)*(-1 + 3 - 3)*(-678 + 386 + 91).\nAnswer: -804*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 0.1, 28, -2\/19, 5 in descending order.\nAnswer: 51, 28, 5, 0.1, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 - 11\/1*(28\/(-7) - -3). Solve 22*v - j*x + 6 = 24*v, -2*v + 2*x + 14 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*z = -15, 5*z = 4*p - 14 - 11. Let x(v) = -v**2 + v. Let l be x(p). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*x + 6 - 24, x - d - 5 = 0. Suppose -i = -o - 5*i - 2, -2*o = -2*i - 16. Suppose 2*t = o*t. Solve x*n + 2 = -t*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1700 at least as big as -1699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169741 + 39520. Let i = 221121 + d. Round i to the nearest 1000.\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 66291.\nAnswer: -4\/66291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.456 + 2.324. What is y rounded to 0 dps?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z - 3*z)*(75 - 76 - 8*z - 39*z).\nAnswer: 235*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1008) + 3 + -3)*-3*5.\nAnswer: 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/5)\/(3\/(-1 - 14)). Let h = 1099\/22 - 115\/11. Calculate the common denominator of h and 1935\/(-54) - (-1)\/o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 1844.\nAnswer: 12908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - 750\/(-21). Calculate the greatest common divisor of a and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1525*r + 1521*r = 24. Let v(y) = -y + 2. Let w be v(-3). Let b be (r + w)*(0 + 1). Which is smaller: b or 5\/27?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 12.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/6, 42, 2, -2.06?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -142.6 * 1235\nAnswer: -176111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 - 2*h**4 + 4*h**3 + 2*h**2 - 3*h.\nAnswer: -h*(h - 1)**2*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alaaarraraallllraaa. Give prob of picking 1 a and 1 r.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 191*(46512\/52 + 1). Let q = h - 171394. Let n = 361 + q. Which is the nearest to n? (a) -3 (b) 3\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18641 + -18649. Let n(f) be the second derivative of f**5\/20 + f**4\/2 - 8*f**3\/3 - f. Let b be n(j). Which is smaller: 2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3511.089 grams?\nAnswer: 0.003511089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, x: 1, d: 2}. Give prob of sequence ddxo.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2571786937.7 - 1279?\nAnswer: -2571788216.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/120 + w**5\/15 - w**4\/8 + 14*w**2. Let f be j(2). Solve 3\/4*r**3 + 0 + 3\/4*r - 3\/2*r**f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 + 3. Let a be c(5). Suppose 342 = a*p - 0*p. Suppose -37 + p = h. Calculate the highest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/(-84)*(-48)\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) 2\/209 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 24*d + 20*d = 0, -m + 3*d = 0. Solve 13*v + 37 - 102 = m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -28. Suppose -4*k + z = k. Let s(y) = y**3 + 4*y**2 - 6*y - 1. Let v be s(-5). What is the greatest common factor of k and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + 4*f. Let h(b) = b**3 - 5*b**2 - 5*b - 8. Let t be h(6). Let q be w(t). Solve -20 = q*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(112))\/sqrt(2))\/(sqrt(256)\/sqrt(8)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r + 10*r + 83808. Suppose -26942 - r = -10*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -77. Does 8 divide m\/(-15) + 46\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 896\/482113 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 2 + 2)*(3 - 4 + 0 + 0 - 4 + 3 + (-4 + 2 + 4)*(-3 + 2 + 0) - 4 + 0 + 5) + (3 - g - 3)*(71 - 143 + 71) as x + z*g and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*q + 27 = -6*d - 50*q + 43, 2*d - 5*q = 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 - 125 = 24*d - 523. Calculate the greatest common factor of d and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -75*c - 6. Let y(s) = 74*s + 5. Determine -4*v(w) - 5*y(w).\nAnswer: -70*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.123 + -10.377. Let h = -8.5 - r. What is the closest to -1 in -10, h, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 27*b - 81. Let s(z) = 7*z - 18. Let n(u) = 2*l(u) - 9*s(u). Let q(g) = 7*g**2 - 22*g. What is n(q(r))?\nAnswer: -63*r**2 + 198*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/7 (c) 149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -2 + 1 + 4 - (52 + -41)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5874, 5956, 6054, 6174, 6322, 6504?\n\"Answer: x**3 + 2*x**2 + 69*x + 5802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 126?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/115 - 24\/(-45)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3613.82048518 from -0.4.\nAnswer: -3614.22048518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o**2 + 7*o - 5. Let c(a) = -25*a**2 - 12*a + 9. Let t(r) = -4*c(r) - 7*q(r). Give t(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*u**2 + 2793*n*u - 2755172*n - 6*u**2 + 5*u + 6 wrt u.\nAnswer: -2*n*u + 2793*n - 12*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4791500 rounded to the nearest ten thousand?\nAnswer: -4790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u - 2*u)*(u + 2 - 2)*(69*u**2 + 24*u**2 + 8*u**2).\nAnswer: -101*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1896 or -25?\nAnswer: 1896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 203*w - 22. Let a be x(4). Round a to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 25*s + 7. Let f be w(-5). Let h = -65 - f. Calculate the common denominator of (h\/2)\/(2\/1) and 54\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 12770033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q - 8 - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 86\/18 + 4\/18. Let s = r - 4. Does 6 divide 1 + 2 - (-8 - s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2990*p**2 + 23. Let t(c) = -272*c**2 - 2. Calculate -23*t(o) - 2*w(o).\nAnswer: 276*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 5*l - 5*i, -l + 13 = 2*i - 37. Let s = l + -36. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-seven halves of a decade?\nAnswer: 3420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -0.3, -1, -0.2.\nAnswer: -1, -0.3, -0.2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g - 85*g - 127*g.\nAnswer: -154*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let l = -2.4 - 0.6. Let w = 2.7 + l. What is the nearest to o in -2\/9, -1, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 5. Let p be y(3). Let q be p + -1 + 9\/3*-1. Let w(u) = u**3 + u. Let n(f) = 4*f**3 - 5*f**2 + 3*f. Let m(r) = n(r) - 3*w(r). Calculate m(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194872121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 9) in base 5?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/4 - 11*v**3\/3 + v**2 - 16*v - 1. Let z = -42 - -53. Calculate the remainder when 10 is divided by d(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 9:39 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/8)\/(-24)*(-18)\/117.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -810*x**2 + x + 810*x**2 - 7*x**4 wrt x.\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32708*o - 3*o**2 - 32701*o + 65409*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/((-84)\/36)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 11. Let p = 4\/4595 + -197613\/32165. Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 9:52 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150693?\nAnswer: 3, 50231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 3*n**2 + 4*n - 2. Let a be t(5). Suppose -h - 4 = -5*o, -5*h + 2*h = -3*o + 72. Let x = h - a. Solve x*d - 1 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (109 - 65) + 37.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 4528*v**3 + 5276040*v**2 + 337532800*v - 696206000.\nAnswer: (v - 2)*(v + 70)*(v + 2230)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 504 + -463. What is the highest common divisor of m and 943?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -45*c**2 + 3*c - 34. Let k(d) = -9*d**2 + d - 6. Let p(r) = 11*k(r) - 2*q(r). Let g(v) = -8*v**2 + 4*v + 1. Calculate 7*g(n) - 6*p(n).\nAnswer: -2*n**2 - 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120957615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 27. What is u(5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 156\/(-8))*2. Let i = z + -7. Suppose i + 18 = d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*l*q - 6*b**2 + 14*b*l + 1194*b*q + 3*l*q**3 wrt q?\nAnswer: b**2*l + 1194*b + 9*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19) + sqrt(2299) + -3 + -3*(sqrt(1216)*4 + sqrt(1216))**2.\nAnswer: -91198 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3978514636 rounded to 4 dps?\nAnswer: -2.3979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-6) - -1) + (-1 - 0)*3. Let h(t) = -3*t**3 - 3*t**2 + t - 2. Let o(i) = -2*i**3 - 2*i**2 + i - 2. What is p*h(w) - 5*o(w)?\nAnswer: -2*w**3 - 2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 23130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 2*c - 1. Let h(f) = 49*f**4 + 5*f**3 - 10*f + 25. Let y(o) = h(o) - 5*w(o). Differentiate y(r) wrt r.\nAnswer: 196*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 8.\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 2\/201, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1) - (-11 + 9)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -440, -48, -6 in ascending order.\nAnswer: -440, -48, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o - 8. Let f be n(-3). Let d = -26 - f. Find z such that -2*z**2 + 35 - 9 - d = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(136) - (sqrt(136) - -2*sqrt(136)*2)))\/(-3*((sqrt(392)*-1 - sqrt(392)) + sqrt(392))).\nAnswer: 8*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*t**4 + 3*l**3 + 96*l*t**5 - 3*l*t**2 wrt t?\nAnswer: 48*l**3*t + 5760*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 3*r + 5*r + (3*r - 2*r - 3*r)*(2 + 2 - 6) - 3 + 3 + r)*(5 + 0 + 19) to the form z + t*r and give t.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -168856 divided by 17?\nAnswer: -168856\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 23 = -17384*t + 17385*t, 2*t + 5*n + 2 - 3 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(-39)*(f*f**1*f)**(-7) assuming f is positive.\nAnswer: f**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.02 + 694.28. Let j = x + -718. Sort j, 2\/5, 16.7 in descending order.\nAnswer: 16.7, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a + 2. Let j(q) = 1. What is -6*j(z) + 3*x(z)?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -93099786 divided by 183\nAnswer: -508742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 110 = 47*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10738 - -10763. Let s(u) = 34*u - 4. Let x be s(6). What is the greatest common factor of c and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 - 46*z - 164. Determine n(-4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v - 11 = -i, 4*v + 20 = 4*i. Let r = 92 - 99.5. Let q = r + 8. Which is the nearest to -1? (a) v (b) 10 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c + 18 = -15 - 6. Sort 1, 22, c, 4, 5 in decreasing order.\nAnswer: 22, 5, 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -41539*z + 642. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**10\/(s*s**(2\/3)\/s*s)*s*s**(2\/23)*s\/((s*s**8)\/s) assuming s is positive.\nAnswer: s**(167\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2068287992.\nAnswer: 2, 258535999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let d(p) = -5*p - 6*p**r - 2 + 5 + p**2 + p**3. Let y be d(6). Solve 3*x + y = -6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from qtqtttqqtttttttttttt.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -2, -304, 21\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4) + 3 + (-4 - 4) + 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4397812*f**2 + 10*f + 272110541 wrt f.\nAnswer: -8795624*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -327 in descending order.\nAnswer: 5, 0, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w + 27 + 1 - 8*w - w**3 + 17*w**2 - 1. Let u be l(16). Suppose -3*n + u = 5. Solve 0 = s - 1 - n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.2, -6, 85, -2\/11, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 41376 (b) 7 (c) 0 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0)**(3\/44)\/(f**(1\/3))**28*(f**(1\/2)*f**0)**(-1\/26) assuming f is positive.\nAnswer: f**(-3983\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316 <= 3318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -69*y**2 - 53*y - 124. What is m(-2)?\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620 and 23746.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + ((-1 - 7) + 8 - (-2 + -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 78467 - -0.22441\nAnswer: 78467.22441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -16 + 7 + 22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 23 = -2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -0.2, 0.2, -2\/19 in decreasing order.\nAnswer: 0.2, -2\/19, -0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -112, 1, 0 in decreasing order.\nAnswer: 3, 1, 0, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2 - r + 2. Give t(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 + 117.5. Sort y, 0.14, 2 in descending order.\nAnswer: 2, y, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*r = -14 + 2, 0 = 2*g + r - 3. Suppose 0 = -5*f + 2*z - 11, -z - 2 = f + g. Let v be (17 - 2)*f\/(-9) + -3. Solve v*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 224977, 224979, 224981, 224983, 224985?\n\"Answer: 2*g + 224975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-88)\/(-108)*-3. Is f equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 1\/84075, 29?\nAnswer: 1\/84075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + -2. Let x = 57.6 + -51.4. Let i = x - -11.8. Which is the fourth biggest value? (a) -1 (b) z (c) i (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 93*g - 90*g + 5*n, -2*n + 106 = 4*g. Suppose -7*t + 175 = -2*t. Suppose 4*y - t = g. What is the greatest common divisor of y and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-74)\/(-185))\/((-2)\/5)*0. Solve 14*m - 2*m - 24 = l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 + -75 + (-4 - -4 - -5)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72403934 is divided by 1744?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/115236 and -50\/77?\nAnswer: 806652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3282328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -3 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 273456 = 228860 + 30205. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**4 + 8*k**3\/3 - 2*k**2 - 8*k + 33. Factor q(d).\nAnswer: 4*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**2 + a**2 + 0*a**2 + 21*a - 6*a - 3*a**2 - a**3 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -3*i - a, a - 2*a = 2*i - 147. Let w(p) = 263*p + 73 + 197*p - i. Is w(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 52*t. Give b(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 not equal to 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 + 12*q + 7. Let i(c) = -7*c**2 - 13*c - 8. Calculate 4*i(z) + 5*p(z).\nAnswer: 2*z**2 + 8*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389843 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 883*k**3 - 1220*k**3 - k to l*k**3 + s + j*k + x*k**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314532 + -4?\nAnswer: 314525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/35*(-120)\/2. Let y = l + -29. Let z be 338\/y + (-6)\/15. What is z rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o*o**(-4\/5))**(2\/25) assuming o is positive.\nAnswer: o**(-8\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h + 1. Let x be o(-1). Let z = 16 + x. Calculate the remainder when 38 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1338382*q**2 - 324000*q + 2 wrt q.\nAnswer: 2676764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 - 34*a**2 + 300*a - 792 = 0. Calculate a.\nAnswer: 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/322*42*(-3)\/18?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 19832398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -3. Let a be 0 + h\/(12\/820). Let x = a - -1859\/9. What is the common denominator of x and 121\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3213031\/54 + 59498. What is the common denominator of d and 137\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.17, -2\/17, -2\/7, 3 in ascending order.\nAnswer: -7, -2\/7, -0.17, -2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3085711402?\nAnswer: 2, 79, 19529819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-9))\/(6\/(-9)). Let v(j) = -4*j - 6. Let x(p) = -p + 1. Let b(l) = m*v(l) - 5*x(l). What is the tens digit of b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 6*u - 8. What is the tens digit of n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*i - 3. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((6\/(-4))\/(-1))\/(-9). Let s = -0.3 - 1.7. Which is the third biggest value? (a) 1 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 9 - 1, -5*q - 25 = -3*s. Let x be (33\/(-12) + 3)*(27 - 11). Sort s, 0, x in ascending order.\nAnswer: 0, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 736904489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*((0 - 2 + 3)*(0 - 2 + 6)*(8 - 4*i - 8) - 13*i - 15*i + 10*i).\nAnswer: 68*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*k + 8251471 - 19661101 - 19290245 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnnndhhnhdhhhndii. Give prob of picking 1 n, 1 d, and 2 h.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 (base 10) in base 8?\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-380)\/320*20\/15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45.108 - 0.108. Let h = -44.99989 + n. Round h to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nin when three letters picked without replacement from nni?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 830.8 and 135.88?\nAnswer: 112889.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {v: 7, s: 9, x: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -4*h - 0*z + 5*z, -68 = -3*h - 2*z. Let u(n) = 2*n**2 - 33*n + 27. Is u(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -65\/2, 5, 0.072?\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, i: 1, q: 1, b: 1, v: 2}. Give prob of picking 1 p and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35693 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(10)\/sqrt(5) + -1 + sqrt(98)*-1 + sqrt(98))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -20*y**2 - 18*y**2 + 37*y**2. Let a(t) = 3*t**2. What is n(a(m))?\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2063652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1274 and -41\/12.\nAnswer: 7644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-140)\/(-16) + 5\/4. Suppose 2*s - 3*q = 5, -2*s - p*q + 7*q = -35. Solve -4*f = -9*f + s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.3 - -3. Suppose -4*k + 144 = -2*r, -r - 207 = 2*r + 3*k. Let f = r + 137\/2. What is the biggest value in f, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 4) in base 5?\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/7418, 2, 158 in descending order.\nAnswer: 158, 2, 1\/7418, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 202\/9, -4613, -1?\nAnswer: -4613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 69.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-60)\/16) + (-129)\/12. Which is the closest to i? (a) -3 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16971?\nAnswer: 3, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - z**4 - z**4 + z**4 + z**4 - z**4 + (-3*z**3 + 3*z**3 + 2*z**3)*(0 + 0 - 2*z) - 17*z**4 + 52 - 52)*(0*z - 2*z + 0*z)*(1 + 4 + 1).\nAnswer: 252*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 112*f**3 - 2*f**2 - 6*f + 3. Let d(q) = -2*q**2 - q + 1. Give -d(a) + v(a).\nAnswer: 112*a**3 - 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1281 - -1332. Let o be 3\/1 - (-12 - 4). Let a = 25 - o. What is the remainder when v is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11409287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4019281, 8038562, 12057843, 16077124?\nAnswer: 20096405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7*f)\/(f**9\/f*f))**(-15\/2) assuming f is positive.\nAnswer: f**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*g - 98*g = 67*g + 1416 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8377 + -8376.8. Which is the closest to 11\/6? (a) 0 (b) 6\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (714*u**2 - 1157*u**2 - 2730*u**2)*(-4 + 0 + 6).\nAnswer: -6346*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d**2 + 29 + 5*d - 7 - 22)*(-d**2 + 2*d**2 + 2*d**2).\nAnswer: 24*d**4 + 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*i + 27 = 0, -4*k + 5*i + 18 + 15 = 0. Let u be (127\/1)\/((-1)\/k). Let f = u + 366. What is the greatest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.88999 litres in millilitres?\nAnswer: 98889.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 11315.\nAnswer: 124465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r. Let u be (4 + -2)\/2*0. Let p(q) = -5*q + 6*q**2 + 5*q + u*q**2. Determine t(p(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50, -60, -70, -80?\n\"Answer: -10*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 275?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 23*i**2 - 2302*i - 22363. What is n(109)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 less than or equal to 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5562 by 6.\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1065 and 9372.\nAnswer: 46860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4 - 184*h**3\/3 - 422*h**2 - 984*h - 1345. Determine o, given that p(o) = 0.\nAnswer: -41, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/3 - (-24)\/(-8). Suppose -8 + 0 = d*i. Let k = -153\/7 + 22. Which is the nearest to 2? (a) i (b) k (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 587.6 - 568. Let i = f + -9.38. What is i rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 11:09 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1534 - 1529. Solve -5*a - 5 = 3*c, -8 = a - p*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5643899 divided by 193.\nAnswer: -29243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-1\/5))\/y)\/(y**(6\/5)\/y)*(y**(1\/2)\/y)**(4\/19))**(3\/20))**(34\/5) assuming y is positive.\nAnswer: y**(-51\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-4) + 7\/14. Do 7 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-6 + -7)) + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lou when three letters picked without replacement from oohuhhhuhhlouaou.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 + 195987*i**2 + 2744451*i - 2940435 = 0. Calculate i.\nAnswer: -15, 1, 65343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1205707, -1205709, -1205711?\n\"Answer: -2*i - 1205705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -401 and -69 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 590 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7cd (base 16) to base 3.\nAnswer: 2201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113306 (base 8) to base 13\nAnswer: -14751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g - 19. Let a be b(-12). Let u(j) = j**3 - 3*j + 3. Let x be u(2). Let h be 3\/4*(a - x). Solve -5*i + 0*q + q = h, 5*i - 3*q = -14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -74*a**3 + 2*a**2 + 4. Give j(2).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 112 = 6*w + 121, 5*x + 18 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*t = 673 - 789 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (185\/((-35520)\/(-1008)))\/(1*(-6)\/128).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2159 * 67843.\nAnswer: 146473037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*m + 166*m + 9 = 0. Let r(i) be the first derivative of -1\/6*i**m + 1\/16*i**4 + 3 + 0*i + 0*i**2 + 1\/20*i**5. Factor r(k).\nAnswer: k**2*(k - 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9987502 is divided by 1108?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3283530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497532 - 59*h - 497532.\nAnswer: -59*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3947355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 2. Let a(q) = 6*q**2 - 11*q**2 + q**2 - 5. Let m be ((-1)\/(-3))\/((-1)\/(-21)). Determine m*v(u) + 3*a(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -386.3371835341.\nAnswer: -387.3371835341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:29 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 588748 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 7*u**2 + 3*u. Let j(m) = -10*m**3 - 36*m**2 + 14*m. Determine 3*j(x) - 14*o(x).\nAnswer: -2*x**3 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 5)\/(3\/(-3)). Let c = a + -2. Factor 2*y + 3 - 2*y**2 - 4*y**5 + 10*y**4 - c - 6*y**3.\nAnswer: -2*y*(y - 1)**3*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20010 and 28014.\nAnswer: 140070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193606 by 3.\nAnswer: -193606\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2 of a second in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 14. Let r = -1.8 - v. What is the nearest to -0.1 in 1, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840923.6ml to litres.\nAnswer: 840.9236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8494292 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: What is the fourth smallest value in 5\/2, -3, 12098, 2, -2\/5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935875 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {e: 7, r: 4, q: 4, g: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 457 - 308. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-27\/5)*j**(-2\/25)*j**41*j\/(j\/j**0*j) assuming j is positive.\nAnswer: j**(863\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-1)\/9)\/(((-44)\/33)\/(-1))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -16961?\nAnswer: -3392.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*b - 10425, -4*j - 25*b + 8304 = -29*b. What are the prime factors of j?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1552\/39109?\nAnswer: 1552\/39109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212 - -2012110022?\nAnswer: 2012100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i - 1. Let h be b(1). Let d = 24 + -22. Let w be d\/3 + (-28)\/(-12). Solve 3 = -h*m + w*y, 2*y = 1 + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 4 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**3 + 2*h**2 - 101*h + 99. Calculate w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 0.06 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127584?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + v = -6, 3*v + 24 = 4*i + v. Let h(g) = g**2 - 8*g - 16. Calculate the lowest common multiple of h(-4) and i.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 6*y**5 - 199*y**4 - 831*y**3 - 744*y**2 + 148*y = 0?\nAnswer: -2, 0, 1\/6, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49254, -98507, -147760, -197013, -246266?\nAnswer: -295519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-39*s + 98*s - 45*s).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y - 48. What is j(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.4 + -8.9. Let m = -0.46 + -0.07. What is the third biggest value in m, j, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228477.21s in minutes?\nAnswer: 3807.9535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 2*u + 0*u)*(u + 5 - 5)*(345 - 146 + 362) to the form r*u**2 + k + n*u and give r.\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 5:13 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 14. Suppose 0 = 3*r + 5*d + 4, -3*r + 4*d = -0*d + t. Let l = r + -2. Let c(u) = -u - 2. What is c(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(70)\/sqrt(5))*3 - -1*sqrt(84)\/sqrt(6))\/((sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(72)))*5) + sqrt(22)\/sqrt(44)).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k = 61*k + 64. What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 4*x**2 - 2*x + 12. What is y(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*k - 68 = -0*k, -4*p - 2*k - 70 = 0. Let g = p - -28. Calculate the remainder when 30 - (2\/1 - 1) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -118. Calculate the highest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3569984*s + 1680 = 3570026*s for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211973, 212248, 212519, 212786, 213049, 213308, 213563?\nAnswer: 213814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -422, 5, -1066, 1, -3 in descending order.\nAnswer: 5, 1, -3, -422, -1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17220 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2. Let f(i) = -25*i**2. Determine c(f(n)).\nAnswer: 625*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = -2*r, -i - 4*r + 1 = -7. Which is smaller: i or 15\/148?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/9 (b) -0.08 (c) -127 (d) 0.3 (e) 124 (f) -0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522896 and 5632.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/3766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 5*h**2 + 2*h - 6. Let k be j(5). Suppose b + 4 = -p, 0 = -4*p - 0*b + b + k. List the prime factors of (-3)\/(-3)*p - -10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-4 + 0 + 5). Suppose x*o - o = -254. Let g = o - -361. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 40?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68517*f**2 + 3 + 11 - 15*f + 68515*f**2)*(0 - 49 - 9).\nAnswer: 116*f**2 + 870*f - 812","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3881\/4007?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617701 is divided by 205782?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -341, -337, -333, -329, -325?\n\"Answer: 4*z - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h + 5*h**2 + 223*h + 59 + 126 = 0.\nAnswer: -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p*p**(-17)*p)))\/((p*p*p**(1\/12)*p)\/p))\/(p**(-3\/7)*p)**(-4\/3) assuming p is positive.\nAnswer: p**(-429\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 16*i - 37. Give x(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 14 - 5 = -2*p, p = t + 6. Let s = p - 8. Let o be s - (6\/(-2) + 2). Solve 2*m = 3*f - 17, -4*m = -o*f + 2*f + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087473 weeks in hours?\nAnswer: 14.695464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -26 - (-57 - -34).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13830 is divided by 1152.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - 2*x**2)*(0 + 0 + 1) - x**2 + 3*x**2 + 3*x**2 + 0*x + 0*x - 12*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77.6 - 90. Let i = -0.4 - a. Let x = i - 11. Put 13, 0.4, x in increasing order.\nAnswer: 0.4, x, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 544*n**2 + 49082*n + 1467804.\nAnswer: 2*(n + 78)*(n + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1769, -2201, -2801, -3653, -4841, -6449, -8561, -11261?\n\"Answer: -14*d**3 - 334*d - 1421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 369\/7 = 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28096.9987287 - -28097. What is k rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s - 58 - s - 6*s - 2*s + 5*s - s**2 in the form o*s**2 + n*s + j and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16767269 to the power of 1\/2, to the nearest integer?\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519429 is divided by 1775?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143896.80099 - 2.11.\nAnswer: -143898.91099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001234 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104313, 113442, 128657, 149952, 177321, 210758?\nAnswer: 250257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 10*c - 6*c - 4677, 3*a - 15 = 0. List the prime factors of c.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-730)\/2*6\/(-15) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = s + 5*s. Let k be 4\/s*45\/20. Which is the closest to 1? (a) k (b) -1 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14960\/352*6\/(-40)*50\/75.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.820224 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10030412444 - -22?\nAnswer: -10030412422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**4\/8 + 9*m**3\/4 - 3*m**2\/2 - 13*m - 12 = 0.\nAnswer: -2, 12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -417*z**4 - 2*z**3 + 3*z - 4349?\nAnswer: -1668*z**3 - 6*z**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 - 1152*b**4 + 34701*b**3 - 322548*b**2 + 910404*b - 789888 = 0. Calculate b.\nAnswer: 2, 11, 17, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 7) to base 13.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 = 15. Suppose f - k*f = -390. Suppose -3*j - 4*c + 8 = -56, -5*j = 2*c - f. What is the highest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1088) + -1)*5 - (5 + sqrt(1377)*-2)*-6)*3)**2.\nAnswer: -304920*sqrt(17) + 14541417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b - 2. Let z(y) = 9*y**2. Determine z(f(t)).\nAnswer: 225*t**2 + 180*t + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4291793 + 6936528 = 95*x + 1563306. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 11*f**5\/30 - 8*f**3\/3 - 21*f**2. What is the derivative of j(i) wrt i?\nAnswer: 44*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 1 r when three letters picked without replacement from {b: 2, z: 2, o: 1, j: 1, p: 2, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.22, 19, -0.23, 0.1, -2, 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163680?\nAnswer: 2, 5, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1099648 and -0.259.\nAnswer: 284808.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j + 27. Let v = 13 + j. Solve -13 = v*p + 4*s + 15, -3*s = -p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/8)\/((-2)\/(-148)) is divided by (7 - 0) + (-1380)\/(-115).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10999116979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47677, -190633, -428865, -762373, -1191157?\nAnswer: -1715217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:10 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5517768*l. Let y(w) = 4*w**2. Determine y(d(m)).\nAnswer: 121783054807296*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p**2 + 24*p + 27. Let o(f) = -7*f**2 - 16*f - 18. Let c(y) = -8*o(y) - 5*v(y). Let t be c(-6). What is the smallest value in t, 5, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 - 20776*x - 41536 = 0 for x.\nAnswer: -5192, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 220*x - 1412. Determine y(9).\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 4223?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 72486?\nAnswer: 797346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36730473.\nAnswer: 3, 13, 317, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5, 0 = 7*w - 3*w + 3*s - 1529. What are the prime factors of w?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 0*t**2 - 2*t**2)*(45 + 8 - 19)*(3 + 3*t - 3).\nAnswer: -102*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -920648495 and -0.96.\nAnswer: -920648495.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 497\/6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*c = 44, 13*q - 54*q - 2*c + 20 = -34*q - 8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110521554 (base 7) in base 11?\nAnswer: 3851155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 + 116. Suppose 2*w + 5 - k = -2*p, 0 = -4*w - p + 80. Solve -5*b = 20, 3*v - 2*b = -0*b + w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 5*o - 4. Let g be r(-4). Suppose -4*k + k + 36 = g. Suppose 4*w - k = 28. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/13)*a**(-5)*(((a*a**(-3))\/a)\/a)\/a*a**(-7))**34 assuming a is positive.\nAnswer: a**(-7616\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -20. Let c(h) = 11*h - 28. Let w(r) = -24*r + 58. Let o(d) = -5*c(d) - 2*w(d). Is 8 a factor of o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4393, 4397, 4401?\nAnswer: 4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14764939 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 4*m, -1554*c + 1551*c + 41 = 4*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 + (-466)\/588. Let d be ((-2)\/175*-5)\/((-28)\/(-20)). Let b = h - d. What is the second smallest value in 4, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-30))\/((-5)\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 38. Suppose z*i = i + 4, -5*i - 50 = -q. Let c be (-1)\/(-8)*q - 2\/(-8). Solve -15 = -3*w + 3*f - 0*f, 12 = -c*w - 4*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.764 - 0.5.\nAnswer: -3.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*w - 25, -2*u - 10 = 3*w + 5. Suppose -4 = -4*n + 16. Suppose u = -n*b + 3972 + 4633. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = -5*f - 10, m - 20 = -5*f. What is the remainder when 27 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50750 by -1750.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 2. Let y = -0.061 - 3.039. Let g = y - -3. Which is the closest to h? (a) 2\/7 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-38)\/(-8) + -4)\/((-1)\/(-4)). Suppose l*t - 2*w - 280 = 0, 2*w = -4*t + 605 - 213. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 - 5. Let s(w) = -w**2 + 2. Let i(p) = -b(p) - 3*s(p). Give i(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 231 and 6531?\nAnswer: 71841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + k + 3749 = 3787, 66 = 2*y + 4*k. Let g(q) = -q**3 + 44*q**2 - 41*q - 87. Determine g(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2315528?\nAnswer: 1\/1157764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**2. Let f(t) = -t + 1. Let s(w) = 12*w - 11. Let b(d) = -22*f(d) - 2*s(d). Give b(c(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 23.5. Which is the smallest value? (a) 0.4 (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 14*t**2 + 13*t + 34. Let b be p(14). Let k = 1518\/7 - b. Suppose 2\/7*f + 0 - k*f**3 + 4\/7*f**2 = 0. What is f?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4261*t - 4241*t + 2200. Which is greater: t or -113?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54865607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-10))\/((-6)\/90). Let t = -22 + l. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 33 = 5*d, -d + 5*u - 9 = -5*d. Suppose 4*j - j - d = 0. Find i, given that 2\/3*i + 2\/3*i**j + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**3 - 63*t**2 - 283*t wrt t.\nAnswer: -18*t - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z**2 - 37*z + 123. Let q be a(3). Let x = -4 - -28. Calculate the highest common factor of x and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2 + (-23 - -30). What is the hundreds digit of (-381)\/(-2)*6\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(700) + (sqrt(7) + 2*2*sqrt(7))**2*-6)*6.\nAnswer: -6300 + 900*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-2)\/((-6)\/(-51)). Let d be 7\/j + 3\/2. What is the greatest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 + (-64)\/(-3). Let u = 46 - o. Suppose 0 = -4*s, 2*y + y - 3*s = 24. Calculate the highest common divisor of y and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -0.02 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28038069*m**2 - 8300*m + 244.\nAnswer: 56076138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18362 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**4 + b**3*c - 2302*b**2 + 97*b*c + 4*b - 38*c - 1 wrt b.\nAnswer: 120*b**2 + 6*b*c - 4604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/11)\/g*g)\/g)\/(g\/(((g*g**(1\/7))\/g)\/g)) assuming g is positive.\nAnswer: g**(-206\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1320?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 7)*15\/(-25). Suppose 4*a + 23 - x = 0. Calculate the lowest common multiple of 20 and ((-2)\/a)\/(2\/20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -977, -2686, -4831, -7628, -11293, -16042, -22091?\nAnswer: -29656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13b7 (base 16) to base 13\nAnswer: 23b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -31. Suppose 4*c + 3*x - 84 = 0, 6*x = -4*c + 5*x + 84. Solve -2*v + c = -3*i, -v + 3 + 10 = -w*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**4 + 3*d**4 + 2*d**4 - 44*d**3 - 14*d**4 + 44*d**3 + (5*d - 4*d + d)*(d**3 - d**3 - d**3) + d**2 - d**2 - 2*d**4 - 5*d**4 - 9*d**4 + 2*d**4.\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - i**2 - i**4 + 0*i**2)*(1 - 5 - 1).\nAnswer: 5*i**4 - 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -803274*q + 428388 with respect to q.\nAnswer: -803274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 197*y**2\/4 + 949739*y\/4 + 4821\/2 = 0.\nAnswer: -4821, -2\/197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104.4590507 + 104.46. Round d to 5 decimal places.\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*m = -47902 - 48767 + 93913 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -68, -115, -146, -155, -136, -83?\n\"Answer: s**3 - s**2 - 61*s + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 61664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6288964 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*-1*-4)\/(sqrt(8)\/sqrt(450)).\nAnswer: 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*2\/(-3) + 3. Suppose 4 + k = c. Solve -c*f - 20 + 7 = -u, 2*f = u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6 = 6. Suppose -3*n = -u - 13, j*u - 3 = 3*n - 12. Solve o + 4*q + 0 = n, 4*o - 5*q - 20 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/((-5160)\/5))\/((10\/(-2))\/40).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4010856 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**3\/3 - 2*k**2 - 4*k - 1. Let z be i(5). Let y = -5.11 - -0.11. Which is the nearest to z? (a) 4 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46050077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 52 = -47. Suppose -4*j + a = 3. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/(1649\/(-194)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105757 + -0.3.\nAnswer: -105757.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81504*w**4 - 7*w**3 - 224268*w**2 wrt w.\nAnswer: 1956096*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:43 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 183795\/5 + 4 + 2. Suppose 32364 = 9*x - b. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 154 - 127 + 65 + 519 = 0 for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(3 + -4))\/((-2)\/(-4)). Suppose h + 2*v + 3*v - j = 0, 15 = 2*h + 3*v. What is the least common multiple of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -173146 - 3423?\nAnswer: -176570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 117*i + 823. Determine w(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1270798384?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 61. What is the least common multiple of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l - 7. Let o be s(-3). Let v = -14 + o. Suppose 0 = 2*x - 4*i - 26, -2*i - 17 = -v*x + 38. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2331003\/7)\/1 + (-45)\/105. What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 14345?\nAnswer: -14338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28135 and 277709.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.7 in -5, 0.03, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*b**3 + 11*b**3 - 58*b**3)*(-4 - 2 + 2).\nAnswer: 396*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1971008860 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1172, -1170, -1168, -1166?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {t: 1, w: 1, m: 1, l: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 336016 (base 7) to base 4\nAnswer: 32210233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459336*n = -459189*n + 19257 for n.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 84. Let m = 41 - v. What is the units digit of (0 - 3) + m + 129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5580119 is divided by 1860034.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48 and 0.9560145529.\nAnswer: -47.0439854471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661269046.\nAnswer: 2, 19, 17401817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 31640*g - 158100.\nAnswer: -4*(g + 5)*(g + 7905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -36. Calculate the highest common factor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5190, -8985, -11460, -12615, -12450, -10965, -8160?\nAnswer: -4035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 1. Let h be s(-1). Suppose -4*i = -w + 44, 162 = 4*w - 0*i - 2*i. Suppose w*b - 45*b + 20 = 0. Put h, b, -2 in increasing order.\nAnswer: -2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1364 + 732 - 563)*(-3*w**3 - 2*w**3 + 4*w**3).\nAnswer: -1533*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 11) to base 8.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4132656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 > 8.73497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72436 by -199.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2661398790.\nAnswer: 2, 3, 5, 17, 67, 71, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 less than or equal to -242824895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + w**3 + 11*w**2 - 60*w - 5*w**2 + 2124 - 2118. List the prime factors of z(-14).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 272 + -269. Let k(b) be the first derivative of 0*b**5 - 4\/9*b**j + 0*b - 3 + 1\/2*b**4 - 1\/9*b**6 + 0*b**2. Factor k(n).\nAnswer: -2*n**2*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 6e22c88?\nAnswer: -6e22c85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*b = -65*b - 31*b - 966 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 606493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 2\/6 + 5. What is the smallest value in -1\/2, w, -13, -0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15592 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 divided by 5515?\nAnswer: 1081\/5515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40446 (base 8) in base 13?\nAnswer: 778c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 271 and -1258185.\nAnswer: -340968135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 7*v - 2. Let a(u) = -6*u**2 + 20*u + 6. Determine -5*a(w) - 14*b(w).\nAnswer: 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2*1 - -6. Suppose -x = 3*x + 2*f - 20, -3*x + t*f = 11. What is the remainder when (4 - 1)*(-4)\/(-3) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*w + 4 - 2, -w + 5 = 0. Let t be 2\/(-4*f\/24). Solve -3*b + 5 + t = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -11*x + 201. Let n = x - -128. What are the prime factors of n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 8*h - 6. Let c be k(6). Let i = c - -8. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*l - 2360 = 143*l - 27*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345730056.\nAnswer: 2, 3, 7, 2057917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.0244 + -0.0244. Let l = -0.31 + 0.01. Let i = l + 0.5. What is the biggest value in -2, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 12*g - 4*t - 277, 3*t + 795 = -3*g. Let u = g + 1567\/6. Do 0.128 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 776*v - 62*v**2 - 776*v.\nAnswer: -62*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3.8. Suppose 3*i - 2*n = 68, -2*i = -n - 3*n - 40. Let u = i - 47\/2. Is u at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 - 46328*l + 268285448 = 0. What is l?\nAnswer: 11582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85328833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5032 and -27\/272.\nAnswer: 10064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 72. Suppose -4*k = 2*g + 8, b*k + 2 + 2 = 4*g. Suppose g = 4*u - 90 - 126. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1032 - 2059\/2. Let 5*r + b*r**2 - 15\/2 = 0. Calculate r.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 581 + -531. What is the lowest common multiple of n and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:32 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:19 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19245717, 19245718, 19245719?\n\"Answer: q + 19245716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 666 = 152. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, -0.4, 1, -2\/61, 4, 3\/2 in decreasing order.\nAnswer: 4, 3\/2, 1, -2\/61, -0.4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -400*m**2 - 249*m + 5. Let j(d) = -85*d**2 - d + 1. What is 5*j(y) - k(y)?\nAnswer: -25*y**2 + 244*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 40 (b) -2.9 (c) -0.2 (d) -2888 (e) 0 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2048 - -2065. Put 5, -25, z in decreasing order.\nAnswer: z, 5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8972572?\nAnswer: 2, 7, 320449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 773.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2. Let c(x) = -4911280*x. Give c(u(s)).\nAnswer: 4911280*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l - 5*l**2 + l**2 - 2*l**2 - l**3. Let n be q(6). Does 30 divide 1\/(-2) - n\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21020021 + 110221220?\nAnswer: 202012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 5*w + 5. Let s be c(-1). Suppose s*n = -3*b + 1321, -3*n - 3*b + 2854 = 880. List the prime factors of n.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 5)*(-28)\/21. Suppose 60 = -4*l + p*l. What is the units digit of (-8)\/(-12)*l\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 1.46\nAnswer: 23.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 628 - 32030\/51. Which is the nearest to n? (a) -1 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.12, 0.1, 0.2, -19\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - -4*-5*sqrt(132) - sqrt(132))\/(sqrt(432)*-5).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -23 + 11*w**2 + 15*w**2 - 11 - 2*w**2 + 4*w. Let o(b) = -5*b**2 - b + 7. Let d(m) = -3*a(m) - 14*o(m). Factor d(i).\nAnswer: -2*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4795053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/9 + 4\/(-6). Suppose 2*f + 2*f = q + 24, -3*f + v*q = -9. Calculate the remainder when 12 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:00 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 47371*q**2 + 5327386*q - 107. Determine r(113).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2504 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5 + 4 + 9*z + 11*z**2 + 3. Let f(d) = -3*d - 5*d**2 + 3 - d - 4 + 0. Let g(i) = -2*i**2 - 23*i - 5. Let l be g(-11). Calculate l*p(m) + 13*f(m).\nAnswer: m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 26*h**2 - 4*h + 101. Let o be c(26). Sort 3594, -1, o, 4 in decreasing order.\nAnswer: 3594, 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298623, 298667, 298743, 298851, 298991?\nAnswer: 299163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/28*107128\/(-7652)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 15*q**2 - 470*q. Let y(j) = -j. What is y(z(c))?\nAnswer: -15*c**2 + 470*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1741*m**2 - 821750*m + 900. Calculate p(-472).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4 + (4 - 4 + 2)*(-4 - 2 + 5) + 0 - 4 - 1)*(-5*f + 4*f + 2*f)*(1 + 0 + 0) + (-29 + 0 - 26)*(-3*f - 5*f + 3*f).\nAnswer: 267*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + n - n)*(n - 2*n - n)*(63 - 32 - 32) to w*n**2 + o*n + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - k - 507 = 0, 0 = -2*t - 0*t + 2*k + 206. Suppose 0 = 5*o + 5*j - 1745, j + t = -5*o + 1850. Does 40 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 121 = -11*g + 6*g, -2 = -g. Let c = 90 - r. Let n = 6 - -12. Calculate the remainder when c is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -51. What is the closest to 1 in 1\/2, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-10))\/(((-84)\/98)\/(150\/(-70))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 2d7?\nAnswer: 2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1356 and 27?\nAnswer: 12204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2992 - -17887. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*n**4 - 522*n**2 + 522*n**2)*(2*n + 14*n - 10*n + 3*n + 20*n).\nAnswer: 1131*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -235 - -266.4. Let d = 27.4 - v. Which is the biggest value? (a) 4 (b) -9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*m**5 - 94356*m**4 - 157152*m**3 + 115302*m**2 + 115275*m + 20958 = 0. What is m?\nAnswer: -3493, -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1148776941\/4 < -287194234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*i = -8, -2*v + 4*v - 6 = -3*i. Sort 0.3, v, 2\/9 in decreasing order.\nAnswer: 0.3, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(-1 + (sqrt(165)\/(6*(sqrt(20) + sqrt(5))))\/((sqrt(176)*-2 + sqrt(176))*1)).\nAnswer: 5*sqrt(3)\/12 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 229*o**2. Let a(i) = -354*i. Give m(a(v)).\nAnswer: 28697364*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20061.066 times 7?\nAnswer: -140427.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5557\/14 - -1649435\/4158. What is the common denominator of 50\/1287 and l?\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*g**2 - 4*d*g*u**3 - 5*d*g*u**2 + 3140*g**2*u**3 - 2*g**2 - 19*g*u**3 + 11*g - u**3 wrt g.\nAnswer: 2*d + 6280*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 882310*l*n**2 - 2380*l*n - 10*l - 11 wrt n?\nAnswer: 1764620*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(304) + (sqrt(304) - (2*sqrt(304) + 5 - sqrt(304))) + 5)**2.\nAnswer: 8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 2*i - i**3 - 2*i**2 + i**2 to the form k + g*i + u*i**2 + o*i**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41649 - 5622658\/135. Find the common denominator of r and -35\/162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - m = 31, -4*m + 11 + 0 = r. Let l = -11 - r. Let y be 1*-1*(-3 - l). Solve y = 3*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10703 and 26103?\nAnswer: 15400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**3 + d**2 - 7*d. Let p(c) = -c**3 + c. Suppose -5*g = -7*g - 56. Let f(z) = g*p(z) - 4*t(z). Find the third derivative of f(l) wrt l.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-4))*z\/(z\/((z*(z\/z**(1\/5)*z)\/z)\/z))*z)\/((z**(3\/11)*z)\/(z*(z**7\/z)\/z)))\/((z*z**(-2))**(-20)\/((z*z\/z**(1\/4)*z)\/z**2)) assuming z is positive.\nAnswer: z**(-1919\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709, -2697, -5775, -9751, -14433, -19629, -25147?\nAnswer: -30795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 212. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:56 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 8*d - 11. What are the prime factors of i(-12)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1293 + 1970. Suppose -4*w + 0*m = m - 25, 4*m = 3*w + 5. Suppose -5*y + 845 = 4*c + c, -4*y - w*c = -u. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-16) - 85\/(-2). Suppose 0 = -2*t + q + 19. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2338 - 1256. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*d*k**2*q - d*k*q*w + d*q*w + 3*k**2*q*w + 2*k**2*q + k*q*w + 2*w wrt d?\nAnswer: 8*k**2*q - k*q*w + q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**2 + 35*c - 5. Calculate y(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*s**3 + 117*s**3 - 62*s**3.\nAnswer: -29*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2122333222?\nAnswer: -2122333232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 3, h: 4, s: 3}. Give prob of sequence hl.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12132 = 184*d - 3484 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16468 and 1253.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -8*y + 10\/3*y**3 + 1\/3*y**4 - 1\/5*y**5 + 6*y**2 + 36. Let a(s) be the first derivative of q(s). Factor a(m).\nAnswer: -4*(m - 3)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (124\/10)\/(1\/10) - -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1287, -11005, -37573, -89415, -174955, -302617, -480825?\n\"Answer: -1404*h**3 - h**2 + 113*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 1. Let w be o(1). Suppose -b - 3 = w*h - 2, -2*b = 3*h + 2. Suppose h = v - 2*v + 1420. What is v rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.06 (b) 7\/5 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -97 times -863081\nAnswer: 83718857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/30 - h**5\/5 + 3*h**4\/2 - 10*h**3\/3 - 8*h**2. Determine s, given that l(s) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2412 and 105113084?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2090, 8312, 18682, 33200, 51866, 74680, 101642?\n\"Answer: 2074*m**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**3 - 2*j**2. Let t(h) = -6*h**3 - 3*h**2 + 1. Suppose -3*z + 11 = -4*r + 40, r - 41 = 3*z. Let m be ((-18)\/z)\/(1\/5*2). What is m*x(o) - 2*t(o)?\nAnswer: -3*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*o - 3*y - 6, -o - 10 = 5*y. Let b(c) = c**3 + 6*c**2 + 4*c - 2. Let i be b(o). What is the units digit of (8\/6)\/(1\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -2 (c) -4\/2001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 118954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from efefffefeefe.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167913681 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**2*r**2*s**3 - 12840*n**2*r**2 + n**2*r - 105*n**2*s + 21*n*r + r*s**3 wrt r?\nAnswer: 14*n**2*s**3 - 25680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3 = -3*l - 2*q, -3*q = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 1. Let f(s) = -13*s**2 - 4. Calculate -2*f(p) + 10*g(p).\nAnswer: 16*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:50 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40.5118 + -0.4712. Let o = 41 + b. Let f = -0.477 + o. What is f rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.85 + -0.7. Let a = 0.15 - o. What is the closest to 0.4 in a, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 1719.\nAnswer: -171.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x = 92*x + 120 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4525.174732 rounded to 1 decimal place?\nAnswer: 4525.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**7\/35 + m**3\/3 + 5*m**2\/2 + 2*m. Let p(b) be the first derivative of g(b). What is the derivative of p(l) wrt l?\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39304896 and 15744.\nAnswer: 78609792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 43. Let a be 10\/(-6 - (-85)\/10). Calculate the highest common divisor of a and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(3\/9 - (-166)\/(-3)). Let b = -52 - i. Suppose 0 = b*h + 2*f + 2*f - 65, 5*h - 117 = 2*f. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 395, 400, 407, 416, 427, 440?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/6 and -79\/134046?\nAnswer: 134046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 179487 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1615 + 1610. What is the closest to 0.1 in -0.3, -56, g, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*b - 12. Let x = b + -172\/5. Find the common denominator of -10\/3 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmkbkmmzz. Give prob of sequence bbzm.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + d = 1, -55*d - 18 = 4*l - 49*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(4\/(-6))*(-16)\/6. Suppose w + 15 = n, r*n - 36 = -w - w. What is the remainder when 83 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 2:44 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 21*k**2 - 25*k - 51. What is the remainder when 86 is divided by n(-22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -49?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = 23*f + 20*f - 3215992. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-141)\/(-21) - 2) + (-10)\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*l + 1 + 35, 4*z + 5*l = -52. Let v = 12 + z. Suppose 28 = v*p - 0*p. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 6. Let j be w(-4). Suppose -j*p + 6 = -3*p. Let r(b) = -b**2 - 4*b + 8. Determine r(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**1*a**(-7)\/a*a**(5\/6)*a**(6\/5)*a assuming a is positive.\nAnswer: a**(-149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8376 = 2*y, -12322 - 207 = -3*y - 4*a. What are the prime factors of y?\nAnswer: 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-25) - 1953\/2250*2295\/918.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575439 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:51 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 351 - 2624434?\nAnswer: -2624053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h = 32*h - 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((160\/240)\/(1\/3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 57*x + 1390 = -60*x, 2119 = 3*o + 4*x. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/13 - 6016\/(-104). Let q(j) = j**2 + d - 58. Let k(w) = 2*w. Calculate k(q(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q - 1. Let x be j(-1). Let g be 6\/x - (-2)\/(-4). Is 13 a factor of g\/4 - (-106)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-20) + 55\/(-150). Let f = -1444 - -1314. Which is the fourth smallest value? (a) -1 (b) -0.3 (c) u (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1595\/77787?\nAnswer: 1595\/77787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 18479224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434761 divided by -2.\nAnswer: 434761\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 32378087.\nAnswer: 32378087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -42*k + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, 24674, 2, 3 in decreasing order.\nAnswer: 24674, 27, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) 0.4 (c) -0.17 (d) -0.1 (e) -3 (f) -1\/14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r - 74 = -q, 4*q - 5*r - 291 = 0. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 54*j**2 + 39*j - 50. List the prime factors of c(-28).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 14, z: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 - 9 - -15 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - (-25)\/10)*-250. Let y = 1059 - a. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32713221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 471582 take away -8?\nAnswer: 471590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19426 - 13190260\/679. Let l = d + -70598\/2037. Is -35 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 6:00 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3, 3*t - 5*w - 1 + 10 = 0. What is the units digit of 20\/16 + t\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u = 20. Let w be 4\/(-14) - 8\/(-28). Suppose -u = -x - w. Solve 0 = -5*q - l - 2, 0*q = -3*q + x*l - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 44, -2\/5, 0.3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 + 0.75?\nAnswer: 1049.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 11*r**2 - 10*r + 4. Let j(s) = s**2 - s - 10. Let y be j(0). Let h be w(y). Suppose h*u - 4*x = 16, -6 + 30 = u + 4*x. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 > 106\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - m - 4)*(-2 + 2 + 3) - 1016*m + 587*m + 568*m)*(4*m - m - 2*m).\nAnswer: 136*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 6*a**2 + 4. Let u be l(6). Suppose -k - 4*k = 4*p - 66, 3*k - 14 = u*p. Calculate the remainder when 17 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/(51\/(-6) - 4). Let z be (-6)\/(-12) + (-12)\/8. Does z = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**3 + 41448*u**2 + 579684*u + 2028208 = 0.\nAnswer: -10348, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.95 - 25. Round t to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622315.\nAnswer: 5, 71, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 77044340 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8603 is divided by 202?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1183 divide 8019557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113312448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/24 - (-1 + (-2)\/6). Solve -6*a + 2*a + 20 = w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/8 - 796933*g**2 - 10161654430189*g\/8 - 30484848532323\/4.\nAnswer: -(g + 6)*(g + 3187729)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 8*c**2 + 3*c + 1. Let u be i(5). Let v(b) = -b**3 - 8*b**2 - 8*b - 1. Let r be v(-7). What is the greatest common factor of r and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.2. Let t = 47 + -45. Let f(i) = 2*i**2 - 5. Let m be f(t). Which is the third biggest value? (a) m (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 1. Let m = 13 - k. Solve -3*h - 5 = m*c, -4*h + c - 14 = -0*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2328 - 2328.00001329. Round d to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202868044 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -159700 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-3))\/(34221\/537471).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let c(q) = -221*q**2 - 1. Let m(f) = -c(f) + 6*x(f). Let j be m(-1). Suppose -j = -2*o + o + 5*t, -4*o + 4*t + 896 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11875726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mip when three letters picked without replacement from {m: 8, p: 3, i: 6}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + y - 1. Let g be b(2). Let u be 44\/10 - 2\/g. Suppose 5*s - s + u*o - 344 = 0, -s - 3*o + 80 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11038671583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237637319145\/5357 - 44360149. Let y = z + 2\/487. What is the second smallest value in y, 4\/9, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 58. Does 14 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 4*r**2 - 4*r + 8. Let f be h(-6). Let l = -32 - f. Solve l = 5*u + 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 3. Let t(z) = z + 1. Let h(p) = -2*t(p) + x(p). Let g be h(7). Does 4 divide 184\/16 + 1\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -623 in -10, -7, 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 19*i - 34541. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from gihihhiig.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w = 3*u + 20*w - 27, w = -4*u + 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-11)*v\/(v**(-4)*v*v)*v*v**7*(v\/(v\/v**(-3\/2)))\/v assuming v is positive.\nAnswer: v**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28313361 less than -6700?\nAnswer: -28320061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -192999*a**3 - a**2 + a + 3. Let p be x(-1). Round p to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**2 - 3000*r - 60795 = 0. What is r?\nAnswer: -579, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 minutes before 6:51 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/178248 and 91\/31830?\nAnswer: 891240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7857, -15486, -23117, -30750, -38385?\n\"Answer: -g**2 - 7626*g - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 26*a**2. Let t(n) = 44302*n. What is x(t(v))?\nAnswer: 51029347304*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 + -5)\/(1 + 0). Suppose -d = -r*d. Is d > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39592791 or 39592789?\nAnswer: 39592791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c. Let s be (4\/(-32))\/(36\/(-96))*6\/4. Let g(f) be the first derivative of s*f**2 - 22 + f. Calculate 4*g(u) - y(u).\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 - -159.3. Let a = 276693\/8 + -34479. Let j = a - 108. What is the smallest value in b, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 78259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = -25*i + 1879 - 1303 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 60*n**3 + 2*n**2 - 31*n + 4. Let m(v) = -v**3 + v - 1. Let y = 85 - 81. Let g(r) = y*m(r) + o(r). What is the second derivative of g(q) wrt q?\nAnswer: 336*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 41927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, h: 1, q: 3, m: 5, g: 1}. What is prob of sequence mqqg?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 57533970?\nAnswer: -2\/28766985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 4*a + 2*a**4 + (3*a**3 - 3*a**3 - a**3)*(-34*a - 41*a + 25*a) - 74*a + 74*a + 3*a**4.\nAnswer: 55*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -54. Let l = 18 + -13. Suppose t*d + 4*s - 205 = -3*d, d + l*s = 50. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o + 10. Suppose h + 2*q - 4 = o*h, 2*h - 37 = -5*q. What are the prime factors of ((-74)\/h)\/((-2)\/6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 15*p - 45 = 0, 2*i = 35*p - 36*p - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 97 = -357. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 0.32. Let h = 408.5 + -408.6. Which is the nearest to h? (a) g (b) -54 (c) -0.2 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2081709335 to the nearest integer?\nAnswer: 45626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 not equal to 388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1. Let i(o) = o + 1. Let u = 15 - 17. Give u*i(c) - 2*d(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/6))\/(x**(-7)\/x) assuming x is positive.\nAnswer: x**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4603393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9435896 is divided by 9435858?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*o + 42 = 465*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 15, e: 4}. What is prob of picking 1 e and 2 v?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-102))\/(6*3\/24)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 567243811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, r: 2, x: 2}. What is prob of picking 2 x and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, -2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4186 or 4184?\nAnswer: 4186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:55 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 4*f - 96 = 0. Suppose f*t - 7*t - 315 = 0. Calculate the smallest common multiple of 8 and t.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3075155*w**5 - w**4 - 13*w**2 + 74630 wrt w?\nAnswer: -184509300*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. Let g = 18526 - 18531. Put 1, -10, b, g in decreasing order.\nAnswer: b, 1, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*j - 157 - 35 = -59*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2666*s + 30. What is the tens digit of w(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2. Let s(h) be the first derivative of 6 + 0*h + 1\/2*h**2. Determine w(s(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -9*j. Suppose -18 = -5*t + 17. Suppose -5*d - 3*w + t = -4*d, 4*w = 2*d + 6. Which is the nearest to d? (a) -1 (b) 2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z + 82. Let r be o(9). Suppose -4*w - 8 = -r. Solve -v + 2 = w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Suppose 8*k - 61 = 99. Suppose -k = a - z*a. Solve 2*u - a = -2*j - 0*u, -u + 11 = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-138)\/(-36) - (-2)\/12. Let c(n) = -n**2 + 5*n + 1. Give c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/8750040 and -19\/451880?\nAnswer: 96250440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -62, 0.4, -17, -24, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -39734*a. Let s(f) = -182*f. What is i(s(l))?\nAnswer: 7231588*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206455?\nAnswer: 5, 157, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2321, -2319, -2317, -2315?\n\"Answer: 2*k - 2323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13790 - -3?\nAnswer: 13793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -26 in descending order.\nAnswer: -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose -5*x = -3*x + v*t - 4, -x - 4*t + 2 = 0. Is 37\/((-3 + x)*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - t**2 + 6 + (0*t - t + 0*t)*(4*t - 2*t - 4*t) - t**2 + 2*t**2 + 0*t**2 - 101*t - 12*t**2 + 101*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 46.9. Let o = 23.1 - 23. Let y = j - o. Put y, 1, -6 in ascending order.\nAnswer: -6, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = j + 50101, -322623 - 28099 = -14*o + 4*j. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2101254?\nAnswer: 2101254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113166, -225384, -337602, -449820, -562038, -674256?\nAnswer: -786474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3403 - 3404. Which is bigger: g or 8\/383?\nAnswer: 8\/383","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/4 - 639*m**2\/2 + 1279*m\/4 = 0.\nAnswer: -1279, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a + 9. Let x(h) = 20*h - 16. Let m(l) = 7*s(l) + 4*x(l). Give m(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0.2, -2\/17, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47467*i**2*q**3 - 4*i**2*q**2 + 3*i**2*q + i*q**2 + 2 wrt q.\nAnswer: -284802*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkiukiupuuupippuiip. What is prob of picking 1 k, 2 i, and 1 q?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-189)\/14*2*1. Does h = -77\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5582.\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 2*w - 110. Let j be d(12). Let p = 35.95 - 36. Let m = p + -0.95. Which is the third biggest value? (a) -4 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/8 - 195\/(-3). Suppose -22*c + 402 + x = 0. Solve 0 = -a - c + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((165\/22)\/(-15))\/(1\/16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1154*m**5 - 21391*m wrt m?\nAnswer: -23080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140534995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -l - 29. Let z(r) = r**2 + 6*r + 4. Let q be z(-6). Suppose -6*d + 1807 = 1849. Put d, l, 1, q in ascending order.\nAnswer: d, 1, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 136*i + 430. What is l(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 733742 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 216*r**2 + 2. Let v(u) = 27*u - 2. What is z(v(n))?\nAnswer: 157464*n**2 - 23328*n + 866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a - 2. Let h(r) = -12*r**2 + 3*r + 12. Let n(d) = h(d) + 6*u(d). Factor n(s).\nAnswer: -3*s*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1180\/(-2124))\/(5\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 3*g + 3. Let a be r(3). Is 467\/(a\/(1 - -2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3865 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p - 113*p - 183*p)*(-1 + 4 + 0)*(-2*p + 5*p - p).\nAnswer: -1674*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 27 = 3. Find the third derivative of -6*y**2 - 31*y**6 + 0*y**2 + 30*y**g wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o - 4 = 0, 4*p - 5*o - 62 = 0. Is 8 a factor of ((-120)\/(-36))\/(2\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-22))**(1\/4)\/(r**7*r**23) assuming r is positive.\nAnswer: r**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 334\/5 + -1113\/10. What is the common denominator of t and -73\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/11942 and 133\/198.\nAnswer: 1182258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g + 30*g + 54*g + 58*g - 200*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.5 (b) -1 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.95 and 0.164268?\nAnswer: -0.1560546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 17\/20*z**5 + 0*z**3 - 38*z**2 + 0 + 0*z**4 - 89\/120*z**6 + 0*z. What is the third derivative of k(n) wrt n?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-23)\/2)\/((-18)\/(-20) - 1). Let d = -99 + w. Differentiate d + 19 + 11*u**3 - 2*u**3 with respect to u.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -10*a + 6*a. Suppose -13 - 2 = -2*b + h, -2*h - 6 = 0. Put b, -5, a in descending order.\nAnswer: b, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-8)*-1*(-1 - 55\/(-11)). What is the nearest to 0.04 in -3.9, 1, t, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46513 and 3856.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -0.028306?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109848 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 10*c. Let v(o) = c*o**2 + 12 - 26 + 19*o - 2*o**2 + 9. Let q be v(7). What is the greatest common divisor of q and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 17815837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-12)*170*14\/(-18326).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -233, 90, 1.\nAnswer: -233, 1, 9, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -29. Let s = 22.2 + v. Let f = s + -5.200029. Round f to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 435\/90 + (-1)\/(-6). Suppose 0 = v*u + 4*y - 21, -y + 27 = 5*u - 3*y. Solve -2*h + u*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Suppose 4*a + 1015 = f*r - 169, -4*r = -a - 1199. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89392 is divided by 181?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*c - 8, 5 = -5*c + n - 6 + 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-12) + (-119)\/(-220). Let x be 2*(-1)\/19 + 196\/(-51205). Let s = x - r. Which is the third smallest value? (a) 0.2 (b) -2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 at most -72\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8917*g + 17631*g - 9139*g.\nAnswer: -425*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-5)\/(-5))*13\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 51*l**2 + 0*l + 39*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 220018826*b**2 - 9457502*b wrt b.\nAnswer: 440037652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -468164, -936336, -1404508, -1872680?\nAnswer: -2340852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047 + -59.88.\nAnswer: -59.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 667441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149 + 253. Let x = 118 - v. What is the greatest common divisor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 64*w**3 - w - 1. Let z(n) = -n**2 - n - 1. What is -2*p(m) + 2*z(m)?\nAnswer: -128*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.48 - 0.02. Let v = 1.3 + h. What is the second smallest value in -5, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 6. Suppose 0 = j*t - 4*t. Solve t*n = -2*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1934 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20822790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 355.85 rounded to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120330, 240635, 360938, 481239, 601538?\nAnswer: 721835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Suppose -v*z - 3*q = 0, 0*z - q = -2*z. Suppose z = 4*m - 76 - 8. Solve -5*c - m = 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 3, f: 8, e: 2}. Give prob of sequence fe.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*j = -2*s - 24, 0 = 2*s - 3*j + 8. Let z be (-6)\/(s\/(-2) + -1). What is the second derivative of -4 + 4 + z*u - 3*u**3 wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(-1)*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 102*h + 5565. Let i be t(-54). Solve -90*k = -71*k + i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1)*b)**(18\/5)*b**(-23)\/((b\/((b*b**(-2\/3)*b*b)\/b))\/b) assuming b is positive.\nAnswer: b**(-271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6614, 6621, 6632, 6647, 6666, 6689?\n\"Answer: 2*o**2 + o + 6611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32286215 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v + 1125 = 378 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:50 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 - -323. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2. Let c = -3 + 7. Let h(m) = 6*m + 2*m - c*m + m. What is l(h(t))?\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2712.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 - 0.22. Let y = 3 + 1. What is the nearest to o in 5\/2, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 13. What is the third derivative of 17*r**2 - 9*r**4 - 11*r**4 + 8*r**4 - 9*r**t wrt r?\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 2 = 2*m + 6*i, -4*m + 5*i = 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + l - 11*l**3 + 2*l**2 - 23*l**3 - 8*l**3. Let s be f(-1). Let x be 200*825*s\/(-6). Round x to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 13*c**5\/20 - c**3\/6 - 8*c. Suppose -5*r - 127 = -4*r. Let t = r + 126. Give z(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 + 5315*r**4 - 105035*r**3 + 768945*r**2 - 2443320*r + 2816100 = 0. What is r?\nAnswer: 3, 5, 6, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 4*t - 16 = 2*q, 3*q - 5*t - 12 = 0. Let v = 497\/46 - 17389\/230. Let l = 65 + v. What is the third smallest value in q, l, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 16.9. Let q = 1.8 + -2. Let u = -1.2 - q. Sort l, u, -2\/13 in ascending order.\nAnswer: u, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(2*a**3 + 0*a**3 - a**3)*(0*a**2 + 5*a**2 - 3*a**2).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -170, -405, -734, -1157?\n\"Answer: -47*f**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + h = 2447, 5*h = 3*b - 4678 + 988. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*i - 3, 3*i - 1 = -3*h + 4*h. Suppose 4*g - 195 = 3*j, -50 = -g - i*j + 2*j. What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65.94 - -4.54. Let m = -71 - y. Round m to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:29 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26494331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 905573719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b + 1. Let i(c) = -16*c + 3. Let n(o) = -i(o) + 3*m(o). Suppose 4*a - 3*p = 68, -2*a - 2*p + 16 = p. Let u(y) = y + 0*y - a*y. Determine n(u(x)).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20.9*-0.109\nAnswer: 2.2781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*f = -2*w - 6, -5*w + 2*f + 38 = 0. Let k be (-2)\/w - (-154)\/165. Which is the third smallest value? (a) -1 (b) k (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1. Let t(o) be the third derivative of o**4\/24 - 19*o**3\/3 - 2501*o**2. What is -2*p(q) + t(q)?\nAnswer: q - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140\/11 - 4\/11*h**3 - 130\/11*h**2 + 346\/11*h = 0. Calculate h.\nAnswer: -35, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*p + 7. List the prime factors of (6\/p)\/(6\/52).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1 = -w, 0 = -3*y + 1252*w - 1254*w + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3354, 3348, 3336, 3318, 3294?\n\"Answer: -3*n**2 + 3*n + 3354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1240\/160 - (-4)\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42940, 171896, 386814, 687688, 1074512?\n\"Answer: -s**3 + 42987*s**2 + 2*s - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 269119141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 17 - 5*o)*(-4 - o**3 + 3*o**3 + 7) - 1 + 2*o**4 + 1 as z*o**4 + u*o + j + x*o**2 + w*o**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85.0605l?\nAnswer: 85060.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z. Solve 3*k - 4*g = -16, g = -z*g + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Let o = -0.1 - m. Is o greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 1 - ((-7)\/2)\/((-6)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 31*l + 967. What is h(49)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 3. Suppose 4*v = -1 - 11. Let x(a) = 4*a - 3. Let l(t) = v*b(t) + 4*x(t). What is l(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = z + 31, -3*q - 6*z + 3*z = -105. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/7, 101\/3, -3, -0.5 in decreasing order.\nAnswer: 101\/3, -0.5, -3, -22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - -4.06. Let u = 0.048126 + -2.048126. Which is the third smallest value? (a) 0 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.37 + 0.07. Let t = -288 + 286. Let s = -42 + 206\/5. What is the nearest to t in k, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -62 (c) -25 (d) -0.3 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 - 32*p + 91. Calculate j(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122 and 2?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-18)*(-9)\/(-84). Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*y + 106. Suppose 0 = -2*a - a + y. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1, 5 in descending order.\nAnswer: 16, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6846, 14486, 22126, 29766?\n\"Answer: 7640*z - 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(5) + 4*sqrt(5)*-4)*-3.\nAnswer: 57*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4074036.\nAnswer: 2, 3, 23, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105952 and 2548051?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/5 + 708*m\/5 + 62658\/5 = 0. What is m?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 9:13 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {v: 1, d: 3, j: 6, u: 3, n: 1, o: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 78592.808982 less than -1.067?\nAnswer: -78593.875982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 14*n - 9. Let h be g(-6). Which is the second biggest value? (a) h (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -88*61\/110044 - (-1 - 1941\/287). Suppose -s*x**2 + 0 + 0*x - 51\/7*x**3 + 3\/7*x**4 = 0. What is x?\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (sqrt(243))**2) + 1 + -4)*3.\nAnswer: -738 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -27039 greater than -27045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4475436 to the nearest integer?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 8 - 9*p**4 + 16 + 2 + 3*p**2 to the form i*p**3 + n*p**2 + x + q*p**4 + g*p and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (295\/(-236))\/((-4)\/144) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15*w. Let n(g) be the first derivative of 23*g**3\/3 + g**2\/2 - 442. Determine q(n(l)).\nAnswer: 345*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118727961?\nAnswer: 3, 11, 3597817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 13*d - 2087 = 2*g, -1044 = g + 2*d. List the prime factors of (-18)\/45 - g\/5.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5037579.\nAnswer: 3, 43, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6954 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 204 = q. Let p be (q\/6)\/((-2)\/(-44)). What is the highest common divisor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a + 1. Let k(m) = 12*m + 1. Give 5*g(f) - 7*k(f).\nAnswer: 6*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 233, -3, -1, -2, -4 in increasing order.\nAnswer: -6, -4, -3, -2, -1, 2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203336677.\nAnswer: 1203336677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(sqrt(224) + sqrt(224)*-3 + sqrt(224)))\/(sqrt(56)\/(sqrt(512)*-3)).\nAnswer: -3456*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.95 + 1. Let s = 4.8 - 4. Let f = w + s. Round f to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 3*v + 3*v)*(0*v + 0*v + v) - 2 + 2 - 2*v**2 - 5*v**2 - 6 + 6 + 1 - 1 - 3*v**2 - 5*v**2 + 3*v**2 + 0*v**2 as d + h*v + p*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306794 is divided by 51126.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/360 (c) -1\/38 (d) -5 (e) -0.1 (f) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.21, -2\/11, -10?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -211*d**4\/2 + d**3\/3 + 1967*d**2\/2 - 1868*d. What is the first derivative of i(k) wrt k?\nAnswer: -2532*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*a**2*p**2 - 186*a**2*p + a**2 + a*p**2 - 2*p**2 - 12*p + 1 wrt p.\nAnswer: 122*a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 2*p - 6 - p - 7*p - 29. Calculate r(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Let d be ((-4)\/(-10))\/(3\/(-15)). Which is the closest to d? (a) 0.5 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112312833239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + cd?\nAnswer: d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 2*i + 7. Let v be g(3). Let s = v + 8. Solve 0 = -s*a + 5*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/3*6\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 60.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/7 (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - (sqrt(90) + 1*sqrt(90))) + sqrt(1440)*-1 + sqrt(1440))\/(sqrt(128) + (sqrt(128) - 5*2*sqrt(128))).\nAnswer: 3*sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtj when three letters picked without replacement from xjjtjwjx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -97, -0.4, 25\/2, 0.03?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 + 1826*d**2\/3 - 1667138*d\/3 + 1522096994\/9.\nAnswer: -2*(d - 913)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b0b0 (base 15) in base 2?\nAnswer: 111010100010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -247409.89 take away 0.0517596?\nAnswer: -247409.9417596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476324.\nAnswer: 2, 3, 23, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 398464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3495 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-315))\/(14\/70). Put 1, p, 2\/5, -2 in increasing order.\nAnswer: -2, p, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98700 and 30?\nAnswer: 98700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 15 = 5*o - 4*x + 8 - 21, -2*x - 20 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94384*w - 12140 wrt w?\nAnswer: -94384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 42 = -4*k. Suppose -2*a + 5*a = 150. What is the remainder when a is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 48*p - 1245. What is a(18)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136726 + 202067. Round z to the nearest 1000.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2641 (base 7) to base 8.\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 435154495*n**3 + 1675*n**2 + 26*n - 792 wrt n.\nAnswer: 2610926970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouo when three letters picked without replacement from {u: 10, o: 9}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12\/11)\/f**4)\/(f**2)**11 assuming f is positive.\nAnswer: f**(-298\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 35, -5, -852, -7, 4 in increasing order.\nAnswer: -852, -7, -5, 1, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4236313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/69 and 181\/1140.\nAnswer: 26220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 a factor of 66387953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -9.1. Let s = n - -0.1. Let z = -5.03 + 0.03. Which is the closest to 2? (a) -2\/3 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-1 + 12)) + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -9108\nAnswer: -45540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -422*t**3 + 37*t**2 - 10*t + 4. Let n(c) = 140*c**3 - 11*c**2 + 3*c - 1. Calculate -3*k(v) - 10*n(v).\nAnswer: -134*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -62*h + 58*h. Let a(s) be the second derivative of 0*s**h + 0 - s - 1\/10*s**5 + 0*s**3 - s**2. Differentiate a(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03783 - 0.53783. Let y = -2 + 3. Let x be (-2)\/(1 + 3)*6. What is the third smallest value in y, x, 2\/3, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 33 = 15*v. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzbb when four letters picked without replacement from {b: 10, x: 8, z: 1}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(-1\/2))\/(q*((q**(1\/4)*q*q)\/q)\/q*q)*(q**14*q)\/((q\/(((q\/(q\/(q*q**(-6\/7)\/q))*q)\/q)\/q))\/q) assuming q is positive.\nAnswer: q**(375\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 6*i**2 + i - 8. Calculate g(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 131. Determine z(-46).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.053, 6\/5, -2, 4, -3\/5, -4, 8 in descending order.\nAnswer: 8, 4, 6\/5, 0.053, -3\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3361.09 + 3172.1. Let v = i - -190. Let j = -1.01 + v. Which is the nearest to 1\/4? (a) 1 (b) 1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 290 + -291. Put 5, l, 2\/15, -5 in descending order.\nAnswer: 5, 2\/15, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13*r**3 - 3*r - 3. Let z(o) = -18*o - 23 + 9 + 7*o - 66*o**3 - 3*o. Give 14*j(k) - 3*z(k).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.6, -7\/10681, -2\/5, 2.\nAnswer: -16.6, -2\/5, -7\/10681, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f + 225 + 83 = 84. Solve 0 = -f*y + 1546 - 1518 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1980 is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 848160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 42536231.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 7}. Give prob of picking 2 a.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72*d + 72*d - 11*d**2)*(242 - 242 + 21*d**2) to the form v*d + x + g*d**3 + r*d**4 + l*d**2 and give r.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/14994 and -121\/19278?\nAnswer: 134946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m**4 + 16801*m**5 - 29*m**3 + 61*m**3 - 16802*m**5 = 0. Calculate m.\nAnswer: -16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2356*z**3 + 4*z**2 + 2*z. Let o(n) = 4709*n**3 + 10*n**2 + 5*n. Determine -5*b(l) + 2*o(l).\nAnswer: -2362*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(245) + -4*(sqrt(245) + -3) - sqrt(245))*-1.\nAnswer: -24 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 4*w**2 - 5*w - 4. Let d(j) = -3*j**3 - 4*j**2 - 5*j - 4. Let k(u) = -3*d(u) + 4*x(u). Let m(c) = -2*c - 19. Let a be m(-12). Give k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44504 is divided by 138?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16388*h + 238. Let m(w) = -345*w - 5. Calculate 238*m(g) + 5*n(g).\nAnswer: -170*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22972, -45944, -68912, -91876, -114836, -137792, -160744?\n\"Answer: 2*j**2 - 22978*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 5:58 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122.5 + -0.08.\nAnswer: -122.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j = -3*l + 13, -j = -5*l + 13. Let p be l\/(-12) + (-57)\/(-132). Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 38*u**2 + 22966*u - 514570. Determine i(-626).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/2))\/j**(1\/11))\/((j**(-1\/2)\/j)\/j)**36)**(2\/9) assuming j is positive.\nAnswer: j**(221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009988 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 326 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 2*g**2 + g + 10. Suppose 11*u + 5 = 38. Suppose 59 = u*b + 5. Calculate the remainder when b is divided by m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*r**(-5)))*r*r\/r**(-6)*((r*r\/(r*r\/(r**(-8)*r))*r)\/r*r)\/r**(-8))**5)**16 assuming r is positive.\nAnswer: r**560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23559 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155199448 divided by 77599724.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 137.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in 1\/8, -1\/2, 3\/4, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from qrvhsyr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -0.5, -27, -10, 2, -731 in decreasing order.\nAnswer: 39, 2, -0.5, -10, -27, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1818, 1824, 1832, 1842?\n\"Answer: o**2 + 3*o + 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1567063\/(-16549) - 576\/(-156)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-13\/4)*o)*o**(-1\/20) assuming o is positive.\nAnswer: o**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(2) + 1).\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1092)\/(11 - -31)*1\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 8*h - 5. Let t be p(7). What are the prime factors of 3*t*(-16)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2010 - -155490. Round y to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178904 times -6583?\nAnswer: -1177725032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 466253849 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13066 (b) 1\/2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 + 4*n**2 + 4*n + 3. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28418 rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 - 133.43. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -565, -2128, -4753, -8440?\n\"Answer: -531*v**2 + 30*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1968*o = 376*o - 1638*o + 770*o - 9840 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 167.07 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (28 - 13) + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/12 (b) -0.01 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3 - (-22)\/33. Suppose -5 = -s*g + k, -2*g + k - 2 = -7*g. Solve -10 = -5*l, -2*v + g = -2*l + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {g: 5, n: 1, v: 7}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**2*m*v - 10769*j**2*m - 2*j**2*v**3 - 5*j*m*v + 4066*j - 32*m*v**3 wrt j?\nAnswer: 8*m*v - 21538*m - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 > 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 5*m**2 + 4*m + 1. Let f be t(-4). Let j(z) = 14*z**2. Does 7 divide j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h + h + 0 - 37 + 19. Let o(t) = -3*t**2 - 4*t. Let j(m) = -2*m**2 - 3*m. Let c(n) = -4*j(n) + 3*o(n). What is w(c(f))?\nAnswer: -f**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(sqrt(112) - (sqrt(112) + 1))*6*5)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 3\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 12 - 6) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 367*o - 374*o + 5.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - -3 - 3 - -44?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 x, and 2 l when four letters picked without replacement from qlsslwswxws?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 186*f + 1863. What is the least common multiple of 633 and a(-10)?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*c + 33*z - 31*z, 6 = c - z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l - 44. Let g be n(3). Let t(y) = -14*y - 160. What is the tens digit of t(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: c09 (base 13) to base 15\nAnswer: 90c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 33, 78, 141, 222?\n\"Answer: 9*a**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*(6\/7)\/(40\/112).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45558.93cm?\nAnswer: 455.5893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 + t + 1. Let q(b) = 22*b**2 - 38*b. Let k(l) = -14*c(l) - 2*q(l). What are the prime factors of k(30)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 l when four letters picked without replacement from {l: 2, z: 3, t: 8, j: 7}.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2\/9, 82, 3, 25, -37?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b. Let d be 3 + (203 - b) + 4. Let q = d + -107. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o*u**2*v - 200820*o*u**2 + 4*o*v + 8268*o - u**2*v - 2*u**2 + 9*u*v wrt u?\nAnswer: -12*o*v - 401640*o - 2*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/11)\/y)*y)\/((y**0*y)\/y*y)*y**7*y\/y**(-3) assuming y is positive.\nAnswer: y**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 14*v - 9. Let g be j(-6). Let i be 199\/g - (-7)\/(-21). Let m be i\/12 + -6 + 162\/4. Is 0.2 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/41240 and 107\/49488?\nAnswer: 247440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 642.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5281.\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d**2 + 2*d - 2. Let t(x) = 9*x**2 - x + 1. Let g(n) = 44*n**2 - 6*n + 5. Let h(o) = g(o) - 5*t(o). Give -4*h(s) - z(s).\nAnswer: 10*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -109530000 rounded to the nearest 1000000?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 8. Suppose 60*k = 58*k - 30. Let t be (-8)\/(-20) - 189\/k. Suppose -22 = -t*o + 56. What is a(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/3))\/t*t**5 assuming t is positive.\nAnswer: t**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 j when four letters picked without replacement from ahtjatjtatjajhh?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 84 - -4970?\nAnswer: 4a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 2*s - s + (-4*s - 2*s + 5*s)*(-2 - 2 + 6) + 3274*s - 6353*s + 3203*s + 1.\nAnswer: 125*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.13 and 33287.\nAnswer: 33286.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 4. Let c(h) = h. Calculate -3*c(f) + n(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/20797 and -6\/5?\nAnswer: 103985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 326743.3s in microseconds?\nAnswer: 326743300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22.9 in 2\/7, -1, 1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/24864 and -25\/107744.\nAnswer: 323232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1121 + 2327 - 161*r - 1189)*(-r + 4*r - 4*r).\nAnswer: 161*r**2 - 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*b - 5. Let m be (-72)\/(-64)*(-4)\/b. Let r = -6.5 + 7. What is the third smallest value in m, r, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - 0.92. Let i = h + 0.8. Which is the smallest value? (a) 1\/3 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 91, 2, -3, -4, 21 in increasing order.\nAnswer: -4, -3, -1, 2, 21, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 2. Let a(k) = k**2 + 11*k - 74. Let c be a(5). Let o(w) = -4*w + 2. Calculate c*b(r) - 4*o(r).\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2205288 and -61\/148244360.\nAnswer: 1334199240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155148825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 1. Let w(f) = f**3 - 6*f - 8. Suppose 3*r - 5 = -2*r. Determine r*w(m) - 6*g(m).\nAnswer: m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1192*f = 136*f - 2424*f - 680*f + 8320. Determine i so that 2\/3*i - 1\/6*i**5 - 1\/2*i**3 + 2\/3*i**4 - 2\/3*i**f + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 0.6, 3\/7, -35, -156?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448586 take away 8567.058?\nAnswer: -1457153.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 12*c**2 + 10*c + 3. Suppose -3*g - 59 = -92. What is o(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 8:44 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 2*b**2 + 0*b)*(16*b - 11*b + 15*b) to the form i*b**2 + y + p*b**3 + g*b and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7722*m**2 + 480 - 1458 + 491 + 486 in the form r + i*m**2 + c*m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4986397890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 1191337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -233?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 284980*m**2 + 1709872*m - 48 = 0?\nAnswer: -6, 2\/71245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3 + 503*j**2 - 59190*j + 1827000 = 0.\nAnswer: 50, 105, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3493.\nAnswer: 1\/3493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 18, -5 in descending order.\nAnswer: 52, 18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2\/3*g**4 - 3 - 11\/3*g**3 + 11\/3*g**2 = 0. Calculate g.\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -1, 2 in decreasing order.\nAnswer: 9, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 569264 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 36*k**2 + 70*k + 53. What is l(-34)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*b + 32*b = -0*b - 287 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 1023129 = 8*c - 5711018. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6425 is divided by 267.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -53114848 less than or equal to -424918795\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + (-20241)\/(-5130) - 1\/5 and 7\/570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.921 + 0.921. Which is the closest to -11? (a) -0.3 (b) 2\/3 (c) 5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 188 = 4*f, -10*f + 8*f = 4*x - 382. Which is smaller: x or 97?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + 3 + 0 + 0)*(-4*o + 4*o - o**2).\nAnswer: -6*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.32154 millilitres to litres.\nAnswer: 0.03332154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -82, -101, -120, -139?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.18 + 1.18. Let j(w) = -8*w**2 + 2*w - 2. Let l be j(1). What is the second biggest value in l, 6\/11, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5106, -5192, -5278, -5364, -5450, -5536?\n\"Answer: -86*t - 5020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -7881779\nAnswer: -13399024.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in 0.1, 0.09, 2, -0.38?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7236, 7221, 7194, 7149, 7080?\nAnswer: 6981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3754 (base 10) to base 14\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/24 and 49\/2685?\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/((d**(1\/5)*d)\/d))))\/d**(-17) assuming d is positive.\nAnswer: d**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -419115, -838230, -1257345, -1676460?\n\"Answer: -419115*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 - 24 = 40*z + 230 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5 = 5*v, 5*h - 3*v + 3 = 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 16239958800 to the nearest 1000000.\nAnswer: 16240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 173845481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (133\/(-35) + 5)*-10 - (-769958)\/64113?\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -155, 296, 791, 1336, 1937, 2600, 3331, 4136?\n\"Answer: j**3 + 16*j**2 + 396*j - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 93 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - -7 - -4 - 92\/(-5). Is 21 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -75. Suppose -5*l - x = 4. Let q = -612\/247 + 50\/19. Which is the nearest to l? (a) 2\/7 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.454799245 rounded to 3 dps?\nAnswer: -0.455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.390078395 - -0.5.\nAnswer: -0.890078395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2772 and 5666892.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 33*1*-1. Let v be (1 + -2 - q) + 1. Suppose -4*h + 48 = 4*z, -3*z - h + v = -0*h. Solve f + z = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2)\/(17 - 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 59*c + 5. Let u(d) = 2. Let f(s) = n(s) - 3*u(s). What is the derivative of f(x) wrt x?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/28 + 19\/7. Suppose -p*g + 6*w - 2*w = -21, 3*g + 5*w - 21 = 0. Is g smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*u + 14, 4*g + 3630 = 5*u. Let k = g - -937. Calculate the remainder when k is divided by ((-1)\/2)\/(2\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 14. Suppose -6*o - 4 = -2*o, -5*o = 2*s + 17. Let y(t) = -t + 7. Let r(a) = s*n(a) + 13*y(a). Find the first derivative of r(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114) + sqrt(114)*2)\/sqrt(6) + sqrt(19)*2*-3 + -4*sqrt(304)*-5)**2.\nAnswer: 115596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -5, -2, -1, -2?\n\"Answer: -h**2 + 8*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 19*s - 91 - 40 = -76, 2*s - 10 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 25 = -c, 7*c - 2*c - 101 = -4*s. Solve 14 = -10*n + c*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(2*(5 + sqrt(448) + 1 - (sqrt(7) + -3 + sqrt(7) + sqrt(7)*1 + sqrt(7)*2*4 + sqrt(7))))**2.\nAnswer: -288*sqrt(7) + 774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.581 - -4.419. What is the closest to 1\/3 in q, -58, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1216 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 + 36 = -25*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489909 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**8\/(g*g**(-45)) assuming g is positive.\nAnswer: g**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(5\/(-10)). Let h be -1 + -1 + x + 1. List the prime factors of 1*(h + -1) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -123 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((((-9)\/(-4))\/(-3))\/1)\/(489\/4564)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from hpophphzhoohihppi.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 409*p**4\/4 + 650*p**3\/3 - 2203. Find the third derivative of c(q) wrt q.\nAnswer: 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m + m. Let a be (-134)\/m*(-12)\/(-6). Let r = a + 136. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + -22 - (-5 - 0)) + 3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*((-9016)\/21)\/(-8).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)\/(3 - 1). Let s(v) be the first derivative of 0*v**3 + 0*v**2 - 2*v - 1\/5*v**5 - 3 + f*v**4. What is the first derivative of s(i) wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137 - -137. Suppose p = 5*r - 325 - 1195. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 79. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12749*f - 4074*f - 3791*f - 4067*f.\nAnswer: 817*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - a = -3*r - 23, 21 = -5*r - a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -312 (base 4) to base 13\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 55 - 271 = 0. Suppose 58*p = 47*p - 44. What are the prime factors of -3*9\/(h\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 3. Let k(f) = 3*f - 7. Let h(p) = -6*k(p) + 11*z(p). Let v be h(-4). Solve -v*c = -42*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - n - 6 = 0, -11 - 7 = 4*l + n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066012431 to the power of 1\/3, to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 77 = -0*c + 2*g, 4*c + 5*g + 112 = 0. Let w = 28 + c. Suppose -4*k = t - 371 - 426, -w*k - 5*t + 1015 = 0. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9881142 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1958016 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + p = -24*g + 3, 1 = -4*g - 7*p + 30 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaup when four letters picked without replacement from pauu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -568, -2331, -5274, -9397?\n\"Answer: -590*m**2 + 7*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11692*-19258\nAnswer: -225164536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 38*p + 3. Let j be c(-38). Suppose -2*a + 2*w - w - 1 = 0, -j*a + 2*w = 4. Let 3\/4*q**a + 1\/4*q**3 - 1\/4*q - 1\/4*q**4 - 1\/2 = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 38. Let z be (20\/(-5) - -8) + w. Suppose -9173616 = -z*h + 2746384. Round h to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.396399 decades in millennia?\nAnswer: 0.03396399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2255 - -3334. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 16)*(-1)\/(-3). Suppose y*w = -4*t + 17, -5*w + 15 = 2*t + 4. Suppose -3*f + 2*f + t = 0. Solve -12 = -0*k + f*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/13 - 37332*m**2\/13 - 225601554*m\/13 - 435499691296\/13.\nAnswer: -2*(m + 4112)*(m + 7277)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v - 2*v + 2*v + 878*v**2 + 6*v + 2505*v**2 to the form h*v**2 + o + w*v and give h.\nAnswer: 3383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, c: 6, y: 3}. What is prob of picking 2 y and 2 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5714 + 8313. Calculate the greatest common factor of a and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-35)*(116\/360 + 6\/(-10))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8806 in -0.4, 1738.5, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1241494 and 414?\nAnswer: 11173446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -13*z**4 - 30*z**3 - 51*z**2 - 19*z. Let v(p) = -20*p**4 - 44*p**3 - 76*p**2 - 28*p. Let n(s) = -8*g(s) + 5*v(s). Find r such that n(r) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-80)\/(-15))\/8 + (-6)\/9. Suppose 3*a = -0*a + 6. Solve -3*m - 18 = 2*h - 3, t = -a*m + 2*h - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1762.13 + 1770. Let t = y + 0.13. Let s = t + -4. Which is the biggest value? (a) -5 (b) 4\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**3\/3 - 10*n**2 - 6*n - 4. Suppose 0 = 8*c - 10*c - 28. Calculate the remainder when z(c) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 295 and 693788965?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1787*d**2*s**5 + 3*d**2 + 49*d*s - 3*d wrt s?\nAnswer: -35740*d**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnjjjjnnnnjnjjn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131*w**3 + w**2 + 28?\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwwvpppspppvwppddv. What is prob of picking 1 p, 1 j, and 2 v?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j + 14. Let n(b) = -2*b + 5. Let o(a) = -4*i(a) + 11*n(a). Let m(x) = -10*x - 18. Let w(l) = m(l) - 6*o(l). Give w(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/11? (a) -2\/7 (b) 0.5 (c) 4 (d) 11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 3*u - 1492940 + 1493233, 81 = -m + 5*u for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j**3 + 5*j**3 + 6*j**3)*(5 - 4 - 3)*(-1 - 1 + 4).\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + g = -10*m - 3, 2*m + 5*g = 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(-2*z**5 + 0*z**2 + 0*z**2) + (z**5 - z**5 + 2*z**5)*(-156 + 320 - 139) - z**3 + 3*z**5 + z**3.\nAnswer: 57*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let g(o) = o**2 + o. Let a(j) = -3*j**2 - 22*j. Let t(m) = -a(m) - 4*g(m). Calculate t(n(y)).\nAnswer: -4*y**2 + 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8.2, 0.11, 12\/25, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115959859\/13 - -8899846. Let m = r + 20251. Let n = m - 108. What is the third biggest value in n, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -19*x - 650. Determine r(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 p when three letters picked without replacement from {p: 7, y: 1, a: 7, s: 1}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333b (base 15) to base 14.\nAnswer: 18597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1711 + 337*k - 2849*k + 294 - 248 with respect to k.\nAnswer: -2512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4807920 and 56615?\nAnswer: 62502960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2429 in 1, -0.3, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3050 + 3050 + 7*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4028 and -1\/14060.\nAnswer: 745180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 15991.\nAnswer: -8, 3, 15991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((11 - 16) + 13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 3*z - 19, g + 7 = -3*z + 6*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12309 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1550665 + -2664?\nAnswer: 1545001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**2\/2 - 12*p - 126. Let u(a) = -2*a. Calculate w(u(n)).\nAnswer: 2*n - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 5*o + 11 = 0. Let w be (-5)\/(-4)*o*4. Suppose 17 = w*a + 3*n, 2*n + 11 = -5*a + 6*n. Solve -3*s - a = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -194, -427, -662, -899, -1138, -1379?\n\"Answer: -y**2 - 230*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197.5 - 200.5. Which is the nearest to 0? (a) 20 (b) -4 (c) y (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23321, 23323, 23325?\nAnswer: 23327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0 + sqrt(108) - (sqrt(3) + 1*(sqrt(3) - (sqrt(3) + -1))))*-5)**2.\nAnswer: -300*sqrt(3) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55031 + 87753. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 4*c**2 - 2*c - 2. Let b = -282 + 177. Let m = -68 - b. Let i = m + -40. Give f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 - -84. Solve -8 = g*m - 2*o, -m = -4*m + 4*o - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:41 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -12*r**2 + 29*r + 29. Calculate m(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 15 = 3*q, 5 = 4*a + q. Suppose 4 = a*j, 2*f + 5*j - 138 = -0*j. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785860 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35.5 and -0.5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -y. Let d(w) = w**3 - 12*w**2 + 11*w + 4. Calculate the least common multiple of d(11) and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Let o be (-9)\/(-6) - 170\/3. Let h = o - -55. Which is the smallest value? (a) 3\/7 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -1, -11\/4, -9, 2\/2727, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 9\/6)*566. Let y = -190 - k. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 113 - 42 = -i, -5*i + 3*r = -865. Let k(g) = -g**3 + 7*g**2 - 7*g + 19. Let x be k(3). Calculate the greatest common divisor of x and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 202 in -4, -1, -1\/4747, -34?\nAnswer: -1\/4747","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**14*w)*w))\/w*w)**(7\/5)\/(w\/(w**9\/w)*w*w**19) assuming w is positive.\nAnswer: w**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 + c**3 + 3*c**3 + (-1 - 2 + 4)*(2*c**3 - 2*c**3 - c**3) + 64241 - 64240 - 3*c - c**3 - 10*c in the form s*c**3 + v + t*c**2 + l*c and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*q - 6366, 3*q - 1 = 5. Suppose 2668 = 5*g - 2*l, -1047 - a = -5*g - 5*l. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412 and 2678?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d + 4. Suppose 2*s + 3*s = 3*b + 22, -4*b - 3*s + 19 = 0. Suppose 2*t + 1 + b = 0. Let j(p) = -p - 1. Give t*i(q) - 4*j(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 54. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 20928*f + 164242944.\nAnswer: 2*(f + 15696)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*y**2 + 268*y - 368.\nAnswer: 4*(y - 1)*(25*y + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/((-25)\/30*10\/(-100))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**45\/(t*t**(1\/5))**(-20) assuming t is positive.\nAnswer: t**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.8. Let v = 78 + -625\/8. Let u = v - -21\/8. Which is the second biggest value? (a) o (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 + 42*l + 44. Let s be z(15). Let w(g) = -g**3 - g**3 - g**3. Give w(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 times -5480?\nAnswer: 32.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/8 - 2*w**3\/3 + 4*w**2. Let u be b(3). What is the units digit of (-2)\/u + 27\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 + -48. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*w + 21*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 402\/(-58) + -7 + 7 + 11 + 4173\/(-377)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(1\/(-4)). Let z be y + 4 - 2*16. Let s = z + 67. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17480 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32\/(-8) + (2412\/4 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 9*r**2 + 12*r - 8. Let p be v(10). Let q(g) = p*g - 6*g - 3 - 7*g. Calculate q(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 8:54 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 34 + 8. What is the third derivative of h**2 + h**6 + p - 7 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3720\/81 - (-2)\/27. Suppose 0 = -s*j + 47*j, 0 = -d - 5*j + 2. Solve -3*g - 2*b + 0 - 16 = 0, d*b + 12 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 66732\nAnswer: 1\/33366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5533, 1888, -4187, -12692?\n\"Answer: -1215*w**2 + 6748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/80 and 43\/12612.\nAnswer: 252240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 19*j + 16. Let w be d(-18). Which is the closest to w? (a) 0.3 (b) 4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztttzt. What is prob of sequence ttzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 983 divided by 88577\nAnswer: 983\/88577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 609957137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 - 157152592*i - 27784054318858272.\nAnswer: -2*(i + 353593332)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**4 + 116*f**3 - 2848*f**2 + 12880*f = 0.\nAnswer: -46, 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23314065345.0000763 + -23314067197. Let p = 1852 + x. What is p rounded to 6 decimal places?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2952 divided by 1664\nAnswer: 369\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 0 (c) 7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 7, m: 2, b: 5}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4 + 6*a**3 + 4800*a**2 - 4808*a - 9600 = 0.\nAnswer: -48, -1, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7735 + -7731. What is the highest common factor of 93 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254416 is divided by 10599?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 + 4*l + 46. Determine c(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-4)*(68\/8)\/17.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 4 (c) -7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 3*r - 3*r)*(1 + 2 + 0)*(4 - 34 + 2)*(-5*r + r + 3*r) + 0*r**2 + 3*r**2 - 2*r**2 as x*r**2 + k + l*r and give x.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32*-8.6.\nAnswer: 2.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/12 + 7*z**5\/50 - 9*z**4\/10 + 8*z**3\/15 + 1529*z**2. Factor c(r).\nAnswer: 2*(r - 1)*(r + 2)*(25*r - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 j, and 1 w when four letters picked without replacement from juaamwwwwjj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179 by 1.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 58*x + 13*x + 15*x - 88*x + 0 - 3. Give n(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 314, 720, 1510, 2810, 4746, 7444?\nAnswer: 11030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let g(b) = 7*b. Let y(z) = -g(z) - 5*n(z). Let h(k) = -k - 1. Let w be h(-5). Let v(i) = -i + w*i - 2*i. Calculate v(y(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10826656 is divided by 205.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/3)\/(30\/45). Let q be (4 - (-4 - s))\/(-2). Let o be (6*(-2)\/(-10))\/(-2). What is the closest to q in o, 1\/5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -3 - -97683)*4. Suppose 13*g + k = 33*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b - 5. Let l be c(5). Suppose -9*v + l = -4*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040744835 rounded to 5 decimal places?\nAnswer: -0.04074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2670)\/(-8811))\/((-14)\/(-1155))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**4\/12 - i**3\/3 - 10*i**2 + 2*i. Calculate b(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-7 - 6 - 21 - -16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - -66. Let g be 84*((-22)\/8 - -2). Let b = g + h. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*a + 16, 4*a - f + 3*f - 24 = 0. Let b = a + -4. Does 11 divide (b\/(-1))\/(3\/(-33))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-6)*((-224)\/6)\/(-7). Let h(j) = j**3 - 9*j**2 + 6*j + 11. Determine h(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-10))\/((-15)\/(-50)). Let i be 4 - 8 - (-10 + -2). Suppose n + 44 = m - n, i = -4*n. Solve 5*w + 4*d = m, -y*w - 1 = -d - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let a(t) = -t**2. Determine 3*a(y) - 6*x(y).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -11 (b) -1.1 (c) -4060\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -28. Let 1\/3*g**2 + 0*g + a = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6961*z + 2. Let a be k(1). Suppose -23*x + 12*x + a = 0. What are the prime factors of x?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 8) to base 6\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 189.6274 centimeters?\nAnswer: 1.896274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351459 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50081610 is divided by 269.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*v = 44, 2*v - v - 3 = 0. Let o = j + -25. Find the first derivative of -12 - 6 + 48*s**2 - 11*s**2 - o*s**2 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-3))\/(4\/48). Let q(z) = z - 4. Let c be q(6). Suppose 0 = 4*r + 3*k, 5*r - c*r = 3*k + 21. Which is greater: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/4)\/((-90)\/9).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44271, -44293, -44315, -44337?\n\"Answer: -22*l - 44249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 168b02 (base 13) to base 6\nAnswer: 20014144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -29*o + 342. Calculate g(36).\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 5:48 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 5*u + 14. Determine f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 23)\/((-22)\/55). Let y = 3 - 7. Let p be 6\/y*(-44)\/3. What is the highest common factor of k and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 27*v - 23*v. Sort 0, -2, v, -5.\nAnswer: -5, -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 3*n**4\/8 + n**3\/3 + 364*n**2 + 1. Determine f(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 + 3*p**2 + 211*p + 659. Calculate a(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/12 - 11*n**3\/6 + 11*n**2 - 6*n. Let a(f) = 12*f - 4 + 2 - f**2 - 7. Let q be a(12). Calculate g(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 36*g + 566. Determine o(-48).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - (41 + -39) - (-7 - 7).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + j + 90. List the prime factors of i(0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -110.8. Let b = t + -0.2. What is the smallest value in b, -38, 5?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 21. Let n(v) = 6*v**2 + 5*v + 2. What is the tens digit of n(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 - 519 + 34*g**3 - 5*g**3.\nAnswer: 16*g**3 - 519","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 144265 or 1586916\/11?\nAnswer: 1586916\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3652 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82546*n**2 + 41212*n**2 + 41305*n**2.\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 722*q + 27. Is y(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*b - 3*b - 3 = 0, 0 = 4*x - b + 3. Let v(a) = -6*a**3 - 4*a**2 + x*a**3 + 5*a**3. Let n be 64\/(-28) - (-4)\/14. Determine v(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/219 or 1?\nAnswer: 28\/219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = 27*w - 280. What is the remainder when 152 is divided by w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, x: 2, c: 1, y: 4, g: 2, z: 2}. Give prob of picking 1 c and 2 z.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13885257 or -13885258?\nAnswer: -13885257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12108*k - 789291 = -2484411 for k.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -425802 by -1339.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(171))**2*4 - (sqrt(19)*2 + sqrt(19))*-2).\nAnswer: 6*sqrt(19) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -45169*x + 42. Let s(m) = -m + 28. Let v be s(10). Let f be q(v). What is f rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2 + 6 = 0. Let h(t) = -2*t**3 + 1. Let l be h(-1). What is the first derivative of -2 - 3 - c + 3 - l*a**4 wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43363 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144237 = 1506*a + 98513 - 148550 for a.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29644 (base 11) to base 7.\nAnswer: 233360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.549 + 0.001. Let h = b + -5.55. What is the nearest to 2 in -3, -1\/3, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**2 - 3*s**4 + 4*s**4 + 0*s**4 - s - 2 + 2*s to the form i + m*s**3 + t*s + o*s**2 + w*s**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 5*p - 4. Let x(v) = -v - 1. Give -g(z) + 4*x(z).\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.21232?\nAnswer: 1.0616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7886319 divided by 20699?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*z - 475*z + 14 - 14.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(54 - 53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6989.21055s?\nAnswer: 0.011556234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w - 22 = 2*x, -5*x = 20. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = 2*k - y, 5*y - 9 = 4*k. Let s(u) = 11*u + 2. Let n(z) = 17*z + 3. Let x(o) = -5*n(o) + 7*s(o). Let a be x(k). Solve -4*q - a = 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -11*c**2 + c - 1. Let x = -71 + 72. Determine a(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -14*i**2 + 11*i - 20. Let n(m) = -m**3 - 4*m**2 - 4*m + 1. Let k be n(-3). Let b be t(k). Round b to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 + -1126 + -1 + 1 + -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 15 = -3*a, 12 = -4*a. Suppose -11*r - o = -13*r. Suppose -5*s - m + 34 = 3*m, -r*m + 8 = 2*s. Solve 0 = 5*c + s, 3*b - c = -2*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2823*y + 5030. List the prime factors of p(-5).\nAnswer: 5, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**6\/30 + 23*p**3\/3 + 3*p**2\/2 + 46. Let r(w) be the third derivative of y(w). Determine r(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 3*b**4\/8 + 6*b**2. Suppose 20 = 73*k - 63*k. Determine r(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 9. Let t(g) = -13*g**2 - 2*g + 1279. Determine w(t(q)).\nAnswer: -52*q**2 - 8*q + 5107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11072649 by 3.\nAnswer: 3690883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 41252.858 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.22. Let y = x - 0.06. Let a = -0.38 - y. What is the biggest value in -2, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24741+91.1\nAnswer: -24649.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.93 - -171.93. Let q = 171 - l. Which is the smallest value? (a) q (b) -2 (c) 5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -951824*z + 100 = -951834*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1267 - -24023?\nAnswer: 22534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -627 divided by -1?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**4\/8 - 2*d**3\/3 - 3*d**2. Let m be j(-3). Let v(l) = 5 - m + 4*l**2 - 2*l - l**3 - l. Determine v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11324 (base 7) to base 10.\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**5 + 6*w**4 + 7*w**3 - 10*w**2 - 4. Let b(j) = j**3 - j**2 - 1. Suppose 3 = 4*r - 13. Let a(m) = r*b(m) - x(m). Factor a(n).\nAnswer: 3*n**2*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.42 - 7.72. Put -3, m, 187 in descending order.\nAnswer: 187, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10918, 21825, 32732?\nAnswer: 43639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146237919?\nAnswer: 3, 71, 686563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 4 - 4*g + 0. Let j = -36 - -32. Let q(b) = 4*b + 5. Let u(s) = j*q(s) - 5*h(s). Determine u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1508486463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805704459.\nAnswer: 3, 7, 43, 892253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (8 - (-6 - -19) - 93570*-5). Round t to the nearest ten thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*x**4 - 4*x**2 + 1444*x - 7207720 wrt x?\nAnswer: -272*x**3 - 8*x + 1444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 7 - -7)*4\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.964898 and 0.5.\nAnswer: -3.464898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-9)\/18). Is h != -5\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 7*f**2 - 2*f. Let b be t(-7). Let d = -10 + b. Suppose -3*o + d*o = v + 5, -2*o + 14 = -v. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (136\/4420)\/((-2)\/(-20)*2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 74 = 61. Let o(j) = -41 - 8*j + 29 + f*j. What is the hundreds digit of o(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 259367340 and 18?\nAnswer: 778102020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -905\/1776 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -110657, -3, -0.09, 5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4186*g**2 - 96281*g - 73. Give x(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1054, 1060, 1066?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -894, -1912, -3062, -4344, -5758, -7304, -8982?\n\"Answer: -66*y**2 - 820*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76907 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2112244*a - 2112244*a - 2*a**3 - 11.\nAnswer: -2*a**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*g = 19762 - 27614 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 418154933 to the nearest one hundred thousand.\nAnswer: 418200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*x - 23, -4*x + 21 + 3 = -2*j. Let g = 3 - 6. Is j greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*f + 36 + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41\/8 + 631\/120. Which is the closest to -1\/2? (a) 2 (b) h (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*r**2 + r - 5*r**2 - 11*r**2 as s + u*r**2 + y*r and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 - 3*s**2 + 5*s + 7. Is x(5) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7920667 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/4 + 35*d**2\/4 - 9*d\/4 - 315\/4 = 0. Calculate d.\nAnswer: -35, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2175*u**3 + 6*u**2 - 2*u - 14. Let i(z) = -8698*z**3 - 26*z**2 + 9*z + 62. What is -2*i(p) - 9*j(p)?\nAnswer: -2179*p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8046252*r. Let o(f) = f. Give c(o(h)).\nAnswer: -8046252*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.5, 2\/239, 5 in descending order.\nAnswer: 5, 1\/2, 2\/239, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkksoksngsnnxnn. Give prob of sequence kgks.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 787*c*p**3 - 3*c*p**2 + 4477*p**3 wrt c.\nAnswer: 787*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*k - 3*k - 63, -4*k = 5*h - 105. Let p be 1\/4 - h\/(-12). Let m be (2\/4)\/(p\/8). Is 3 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.6, -99\/895, 2\/7, -103 in ascending order.\nAnswer: -103, -99\/895, 2\/7, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 16*s**2 - 17*s + 15. Let u be a(15). Let b be 6*-1*5\/u. Let x(r) = -2 + 3*r**b + 7*r - 4*r**2 - 2. Calculate x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 43 - 78 = -4*y, -11 = -3*i - y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -488*r**7\/7 - 2*r**3\/3 + 194*r**2 - 548. Find the third derivative of o(l) wrt l.\nAnswer: -58560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -318 from 0.15.\nAnswer: 318.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1110*z - 44874891 = 1029*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*u + u. Suppose r + 0*r = 1. Calculate the remainder when 13*r - (-1 - u) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16660.22ml to litres.\nAnswer: 16.66022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 4*f**2 - 4*f. Let u(n) be the third derivative of n**6\/15 - 17*n**5\/60 - 17*n**4\/24 + 2*n**2 + 4. What is 9*o(s) - 2*u(s)?\nAnswer: 2*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -208.12 and 20.\nAnswer: -188.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 13*h - 63. Let d be x(17). Suppose -2*c + q = 5*q + 8, d*c = 5*q - 5. Sort c, 5, -41 in descending order.\nAnswer: 5, c, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4732)\/5070*(18\/7)\/(-1)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3880 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) + (-2)\/3. Let u be (-141)\/71 - (-4)\/2. Let l = -76\/355 + u. What is the nearest to 1\/4 in -2, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -30850*v. Let l(j) = -j. Determine u(l(i)).\nAnswer: 30850*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from pjemljeeeumllmpeemmj.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4814 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 88088000 to the nearest 1000000.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from ggggggglgglgglggggl?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 1\/6, -1\/2, 4\/7.\nAnswer: -1\/2, 1\/6, 0.4, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 714\/5 + -4279\/30. Suppose -g + 16 = 5*n, g = 2*n + 3*n - 14. Suppose -k + g = 2. What is the second biggest value in k, 2\/21, t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 27220*u**2 + 27215*u.\nAnswer: 5*u*(u - 5443)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -34135303 (base 6) to base 15\nAnswer: -157e0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10212 (base 4) to base 14\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5*sqrt(288) + sqrt(288) + sqrt(18))*-1)\/(-2*sqrt(150)*-3) + 2.\nAnswer: sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 5787\nAnswer: -17361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**6*h)*h)**15 assuming h is positive.\nAnswer: h**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15.8+-16.59286\nAnswer: -32.39286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p + 4. Let j be u(-2). Let w be 6\/8 + 2\/j. Find t such that 1\/2*t - w*t**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6264 and 864?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 3*b - 5*v - 2, -v - 1 = 0. Let o(c) be the second derivative of 3*c**3\/2 - c**2\/2 + 170*c. What is o(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 11157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -16 + (-8 - -17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 16*v. Let z(c) = -11*c. Determine z(a(m)).\nAnswer: -176*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 - 354 = -11*p. Calculate the highest common factor of p and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/3)\/2)\/(10\/3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31485*k**4 + 2*k**2 + 3517 wrt k.\nAnswer: 755640*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 - 113?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4 - 1156*k**3 - 96886*k**2 - 839324*k + 937365 = 0. Calculate k.\nAnswer: -69, -11, 1, 1235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 26. Suppose 43*z - d = 39*z. Suppose -c - 4*t + 49 = 0, 4*c - 151 = -z*t + 4*t. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53 + -b466?\nAnswer: -b413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 19, 60, 149, 304, 543?\n\"Answer: 3*a**3 - 3*a**2 - a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/30 and 41\/1296.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 6\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 67909586 to the nearest ten thousand.\nAnswer: 67910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006714 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1530066 + -19592934. Round v to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101001111111001100001 + 110011?\nAnswer: -100101001111111000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130.8 + 115. Let u = i + 1.8. Let t = -14 - u. What is the closest to t in -8, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let i = 2.8 - 3. Let u = i + 0.3. Sort u, -4, c in descending order.\nAnswer: u, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54803, 54797, 54791?\n\"Answer: -6*j + 54809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10914 and 62424?\nAnswer: 6679368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 12. Let i be b(-4). What is the hundreds digit of ((-2682)\/i)\/(-6*3\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 11*g**2 - 8*g - 6. What is the units digit of t(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95790889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.30100662 - -0.301. What is u rounded to seven decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 + 3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose 0 = l + 4, -2*n - 4*l + z*l = 68. Let t = n + 61\/2. Which is the third smallest value? (a) t (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3. Let l be j(0). Suppose 3*y = -l*y - 9. Let k(o) = -o**2 - 5*o - 2. Calculate k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*g + 1357*g + 1377*g - 692*g + 1075*g.\nAnswer: 2961*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -464045 less than or equal to -464019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b - 1. Let g be d(4). Suppose -s + 0*s + g = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 14*z**2. Let l(s) = s**2. Calculate l(p(c)).\nAnswer: 196*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 656, 1955, 4618, 9329, 16772, 27631, 42590, 62333?\n\"Answer: 114*i**3 - 2*i**2 + 507*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 0.1 (c) 828\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 8) to base 11\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -1\/15 (c) -193 (d) 3\/5 (e) 0.3 (f) -6 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - u**2 + 3*u**2)*(-1 + 2*u**2 + 1) - 372*u**3 + 23*u**4 + 372*u**3 + 2 - 2 + u**4.\nAnswer: 26*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275745 and 465?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.3 and 7.\nAnswer: 149.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010011110110111 + -11011110?\nAnswer: 1111010011011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 8*j**2 + 8*j - 5. Let h(l) = -12*l - 4. Let q be h(-1). What is the units digit of f(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 14. Suppose d + 2 = m. Suppose 35 = -d*g + 300. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 - 313 - (1 - (1 + 1 + 0))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/66 and 21\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -201589, -402983, -604377, -805771, -1007165, -1208559?\n\"Answer: -201394*w - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 13 = k, k = -k - 8. Let f(j) = j**2 - 5*j - 21. Calculate the remainder when 71 is divided by f(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 4. Suppose 4*r - d = 27998, -p*r + 4*d + 5241 = -8751. Round r to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(45)\/(sqrt(9) + sqrt(27)\/sqrt(3) - sqrt(9)) + sqrt(55)\/(sqrt(11)*-2 + sqrt(11)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 272 - 259. Let r be ((-4)\/3)\/((-2)\/6). What is the second derivative of 8*k**r + k - s*k**4 + 4*k**4 - 10*k wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-1)\/2). Let m be p\/(-12) + (-1)\/4. Factor -2\/9*f - 4\/3*f**3 + 8\/9*f**4 - 2\/9*f**5 + m + 8\/9*f**2.\nAnswer: -2*f*(f - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11580 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 211838*g + 11218834561.\nAnswer: (g + 105919)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 23814.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -338.498467 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1216 times -0.59\nAnswer: -717.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (378\/(-2352))\/(9*(2 + -5 - 38\/(-12)))\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 17, -34, -141, -322, -595, -978?\n\"Answer: -3*c**3 - c**2 + 11*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 475.772 and -16146.\nAnswer: -15670.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -6*q**3 + 0 - 6*q**2 + 7\/4*q**4 + 3*q. Find h, given that z(h) = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 10:03 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 35765, 10, 2\/15, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 231\/9*30\/(-5). Let u = 216 + o. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from knkabku.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 102 - 31*v**3 - 212 + v**2 + 110 to i*v**3 + d + f*v**2 + z*v and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615 (base 7) in base 5?\nAnswer: -10044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-49)*168\/(-696).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -136.1, -4, -1, 58, -5, -0.18?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p = -97*p + 455 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.3, -0.0503, -0.2, 77.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 518 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 19*l**3 + 4*l**2 - 76*l.\nAnswer: -l*(l - 19)*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1)*((-567)\/9)\/21)\/(21\/(-196)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/2 + 572423*h\/2 + 2575863 = 0 for h.\nAnswer: -572414, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758691?\nAnswer: 3, 84299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.52 + 2.22. What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a - t, -6*t = -5*a - 9*t - 4. Solve -d = -2*l + a, 2*d + 0 = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 4*p + 5*j + 119, 0 = 3*p + 4*j - 121. What is the remainder when 183 is divided by p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158454 by 26409.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**2 + 13*c - 113 + 56*c - 15*c**2 + 128 + 85*c.\nAnswer: -2*c**2 + 154*c + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 83*c - 596. Calculate a(-17).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 77.75192 weeks?\nAnswer: 13062.32256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-44\/7)*o\/(o**(-5\/2)*o)*o*o*o**(-4) assuming o is positive.\nAnswer: o**(95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11576040 equal to 11576040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 551117486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2190 + 818. Let b = 6137 + f. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27451 and 1132.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -32. Suppose 0*z + 43 = z. What is the remainder when z is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 111\/(-90) + (-106)\/(-265). Sort l, -1, -35\/9 in decreasing order.\nAnswer: l, -1, -35\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*r + r - 4577. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110 - -108) + -2 + (0 - 2) + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1944*b**3 - 11337*b + 11337*b.\nAnswer: 1944*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 20 + 5 = 0. Let m = 1.1 + -3.1. Which is the biggest value? (a) k (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 - 210 + 135*d**3 - 138*d**3.\nAnswer: -3*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:57 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 101206 = -5*j, j - 20244 = 57*r - 59*r. Round j to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1074 greater than or equal to -366468\/341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -1)\/(-2 + 3). Suppose s + 3*m = -0 + 1, s = -2*m - 1. Let i = -3 - s. Solve w = 2*v - 0*v - i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17670461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w - 30 + 30)*(3 - 3 + 2)*(-1 + 60 + 14).\nAnswer: 1022*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let o(n) = -n**2 - 7*n - 2. Let x be o(-6). Suppose 19 = 5*t - 2*f - 2*f, -13 = -x*t + f. Let r(w) = -5*w - t*w**2 + w + 4*w. Calculate q(r(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 take away 191146?\nAnswer: -191147.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-213)\/(-6) - 7)*2. Let -54*n**2 + 58*n + 3*n**4 - t*n**3 - 20 + 29*n**3 - n**4 + 42*n**3 = 0. What is n?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 15*n + 15. List the prime factors of i(-15).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-772)\/(-16212))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 308.1 + -308. Which is the nearest to q? (a) -2\/5 (b) 1.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3326367.\nAnswer: 3, 11, 100799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045220 rounded to the nearest one thousand?\nAnswer: -1045000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98265461 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1274127291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(3400) + sqrt(3400)*1 - sqrt(3400)) + sqrt(34)))\/(1*sqrt(72)*1).\nAnswer: -22*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075*n = -1059*n + 2168*n - 2788 for n.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*s = 2*s - 3, -s = -106*w + 105*w - 0*s + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:18 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 1:29 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 0*z**5 + 0*z**2 + z**3 + 0 + 0*z**6 + 0*z**4 + 57*z + 1\/6*z**7. Find the second derivative of w(y) wrt y.\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 213 + -215. Let n be (t - (-5 - -3))\/((-6)\/6). Solve -5*d = n, -1 - 3 = -4*w - 3*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 4*d + 4. Let y be s(5). Let p be (-1)\/(-3) + (-3)\/y. Suppose -3*o + p*o - 31500000 = 0. What is o rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 115058975 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1361524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -449*h**2*q**2 + 3*h**2*q - 287*h**2 - 2*h*q + 405*h - 9*q**2 wrt h?\nAnswer: -898*q**2 + 6*q - 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-4)\/156*-3\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 11*l**4\/12 + l**3\/2 - l**2 - 23*l. Let h be q(2). Suppose 4*w - 16*w + h = 0. Solve -4*z + w = -3*z, 5*p - 17 = -3*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2. Let c(x) = 5003477*x. Calculate c(b(i)).\nAnswer: -15010431*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 71*j - 134. What are the prime factors of a(-31)?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060*c = -3273 - 3087 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12901 times 205?\nAnswer: -2644705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17e7 (base 16) in base 13?\nAnswer: 2a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39.3 and -2?\nAnswer: -78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*w + 117*w + 175 = 0. Solve 2*s - 7 = o, w = 4*o - 2*s + 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 1064*q**2 - 59429*q + 254676.\nAnswer: (q - 1117)*(q - 4)*(q + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11249?\nAnswer: 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3216361 - 1?\nAnswer: 3216360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t - 4*n + 9, 3*n - 6 = -2*t. Suppose -m = -t*m. Let k be 4 + -3 + 2 + 1. Put m, k, -4 in decreasing order.\nAnswer: k, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5764*i**2 + 2 + 5505*i**2 - 2.\nAnswer: -259*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6021809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1814 - -1854. Solve -c = -15*t - 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14448 and 12046776.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -105969322 <= -105969320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -26. Solve 0 = t*q + 2*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -13\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 2*h - 2*h**4 + h**4 + 3*h**3 + 0*h**4 to n*h + p*h**2 + g*h**3 + y*h**4 + z and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-56)*(-35)\/2. Solve 4 = -9*m + r*m + 2*f, 3*m - 5*f = -10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*y - 62*y + 8*y + 19*y as s + o*y and give o.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/2, 5231?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -5, -9, 3, 2 in decreasing order.\nAnswer: 3, 2, -5, -9, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24070 and 150075.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 168\/176)*12\/(-3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(1*-6 + 13 + -6). Calculate the remainder when (-259 - -10)*(2 + h) is divided by 57.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.848 + -0.052. Let j = a + 3.8. What is the smallest value in 3, -0.01, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -221*l**2 + 8151*l - 7024. What is t(36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2 - j + 22. Give z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 (base 10) in base 14?\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-146)\/(-290) - 8\/20. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 8 = -21*o. Sort 13, 1, o, -1 in ascending order.\nAnswer: o, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k + 40*k - 168 + 592 - 2*k**3.\nAnswer: -2*k**3 + 424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 211917 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73561 is divided by 3677.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 24*i - 362 = -82 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04289027 + 411.91970973. Let o = -341 - 71. Let q = o + g. What is q rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63626 (base 13) in base 7?\nAnswer: 1343606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:33 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -398, -2\/3, 1\/4 in decreasing order.\nAnswer: 1\/4, 2\/11, -2\/3, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)**(2\/33)*y**0*y*(y**(-1\/3)*y)\/y*y)\/((y**(-4)*y)\/y*y*y**(-1\/2))**(2\/107) assuming y is positive.\nAnswer: y**(6544\/3531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1080305 = 479*m - 191182 - 67318. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i\/(i\/i**(1\/15))*i)*i**0 assuming i is positive.\nAnswer: i**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 172*t - 406. Let h(i) = 43*i - 92. Determine -18*h(j) + 4*y(j).\nAnswer: -86*j + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/51427, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -4, 0.6, 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**50 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -103, -105, -107, -109?\n\"Answer: -2*t - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Let q(f) = 2*f**2 - f - 1. Let m(l) = -13*l**2 + 13*l + 13. Let k(g) = m(g) + 13*q(g). What is k(u(n))?\nAnswer: 52*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.44, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b - 80*b - 7 + 6 - 10*b - 66*b - 127*b.\nAnswer: -316*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3918 + 41791\/3918. Which is the smallest value? (a) x (b) 0 (c) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -406*d - 71. What is the tens digit of c(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9192 is divided by 179.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -65, -173, -325, -521, -761?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3.1. Let r = 6.9 + -2.9. Let z(k) = 3*k**2 + k - 1. Let y be z(1). What is the closest to n in y, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5216000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 10, -90 = -5*z - 2*g + 10. Let p = -18 + z. Let y(u) = 3*u**2 + 5*u - 9. What is the tens digit of y(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-889)\/(-9) - (-3)\/(162\/12).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79863329, -159726662, -239589995, -319453328, -399316661, -479179994?\nAnswer: -559043327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 2. Let q be k(8). Let g = q + 10. Find the third derivative of -4 + g + u**4 + u**2 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.21*-1.185.\nAnswer: 1.43385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, m: 2, i: 2}. Give prob of picking 2 m and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/15 + 37638\/45. Suppose -5*z = 271 - s. Which is smaller: z or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*q - 67*q + 17 - 103*q.\nAnswer: 2*q + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -13*m**3 - m**2 - 107*m + 325. Calculate f(4).\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 16*v**2 + 18*v - 8. Does 15 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h*i**2*o**3 + 17*h*i*o**3 - h*i + h*o**3 - 2*h*o**2 - 33*h*o + 497*i**2*o**3 + i**2 wrt i.\nAnswer: 6*h*o**3 + 994*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 2*z - 1. Let g(c) = -2*c**2 + 8*c - 1. Give g(r) - 5*x(r).\nAnswer: -7*r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -122?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/82*(-12)\/14*95\/(-285)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 17*t. Let s(m) = m**2 + 11*m. Let c = -1 + 6. Let f(d) = c*i(d) - 8*s(d). Find the second derivative of f(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 115\/10 + (-2)\/(-4). Let w = z + -6. What is the lowest common multiple of 126 and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 2:32 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1432 (base 5) to base 7.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4 - 4)*(-3*o - 1848 + 1843 - o).\nAnswer: 8*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3 = 3*g - 0*g, -g = 3*x - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(3) + sqrt(12) + sqrt(3) - 3*(sqrt(12))**2)*-6.\nAnswer: -24*sqrt(3) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**6\/2160 - r**5\/240 - r**3\/2 + r**2. Let j(v) be the first derivative of p(v). Find l, given that j(l) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430015623 and 6717?\nAnswer: 430015623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c + 16 = 0. Suppose 2*u + 9 = -c*s - 3, 3*u + 4*s + 12 = 0. Solve 0 = -u*a + 4*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.833495 rounded to three decimal places?\nAnswer: -0.833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 38243658.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001010 + 1010100110?\nAnswer: 101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2119118*s**3 - 6561*s**2 + 3*s - 18.\nAnswer: -12714708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:29 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*q**3*y**3 - 2*q**3*y**2 - 4*q**2*y**4 + 3*q*y**4 - 17*q*y**2 + 3*q wrt y.\nAnswer: 48*q**3 - 96*q**2*y + 72*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-7\/3)*n*n\/(n\/((n**(-13)*n*n*n)\/n)))\/((n\/(n*n\/(n**(3\/11)*n*n)))\/(n\/n**(-6\/7))) assuming n is positive.\nAnswer: n**(-1405\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20789 = 8*w - 96733. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-80)\/28 - (-2)\/(-14) - -5. Let z(y) be the second derivative of -1\/12*y**4 + 5\/12*y**3 + 4*y - 3\/4*y**n + 0. Find a such that z(a) = 0.\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 4*u + 5*u)*(29 - 53 - 36).\nAnswer: 180*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3225.76 - -3149. What is u rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + (-1 + 0 - -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201000 - 12?\nAnswer: -201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**6\/24 + p**5\/30 + 3*p**2\/2 - 1. Let n(x) be the second derivative of o(x). Determine g, given that n(g) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -29.8, -963.9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llg when three letters picked without replacement from nlnlllng?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -69, -71, -75, -81?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 105 = 4*o - 34*v - 15, 0 = -5*v - 0 - 5 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3486259.\nAnswer: 7, 139, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 15) to base 10\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 2218679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6707 + 0.05?\nAnswer: -6706.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(6 + 48\/(-9)). Differentiate 2 + 17*p**x + 32 + 23*p**2 - 11*p**2 with respect to p.\nAnswer: 58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -183\/2987?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.55 (b) -28 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235079*c**3 - 3 + 3 - 236761*c**3.\nAnswer: -1682*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-16)\/14 + 32\/(-112). Let n(f) = -4*f**2 + 2*f**2 + f**g. Let p(a) = 6*a. What is p(n(t))?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**2 - 7*x - 4. What is y(4)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(117)*2)**2.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -0.2 (c) -22 (d) -0.5 (e) 17 (f) 11\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + 546. What is the greatest common divisor of h and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8302915 micrograms in milligrams?\nAnswer: 0.0008302915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.15 to 1 dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (216\/15)\/(-4)*(-5 + (-10)\/(-3)). Let v = -28 - -46. What is the greatest common divisor of v and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 + 2*l + 1. Let r be o(-1). Let y = r + 17. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((z + 0 + 0)*(4 + 2 - 5) - 15*z + 8 - 9 + 25*z)*(-2*z**3 + 4*z**3 - 3*z**3) to p*z + w*z**3 + l*z**4 + a + v*z**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -42\/2490109 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4*p - 18*l**4 - l**2*p + 5*l + 31*p - 1 wrt l?\nAnswer: 12*l**2*p - 216*l**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -7 - (5 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 8\/(-4))*(-705)\/9. Suppose -o = -5*v - i, 5*o - 6*o - v + 211 = 0. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(1\/5))\/f**(-2\/13))\/((f*f*f\/(f*(f*f**(1\/2)*f*f)\/f))\/(f*((f*f*f\/(f\/((f**(-3\/10)\/f)\/f))*f*f*f*f)\/f)\/f*f)))**4)**(-3\/16) assuming f is positive.\nAnswer: f**(-201\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1158*f - 1157*f - 312*f**2 + 2308*f - 20*f**2 to s*f**2 + h + k*f and give s.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -4194.\nAnswer: -5\/1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 936*s + 8100.\nAnswer: 4*(s - 225)*(s - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41072 and 38505?\nAnswer: 2567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -ad (base 14) to base 15\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/20*(-70)\/(-12) and 23\/118.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 1, g: 2, c: 1, t: 5}. What is prob of picking 2 t and 1 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t + 4. Let q = -11 - -14. Let u(x) = -6*x + x + 3 + 11*x. Give q*y(w) - 4*u(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14748 - -4811. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 21*v**5\/5 - 3*v**4\/2 - 77*v - 62. Let t(c) = -2*c**3 + 1. Let h(a) = k(a) - 3*t(a). Differentiate h(f) wrt f.\nAnswer: 84*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 2*q - 2. Let u be ((-12)\/(-18))\/(1\/6). Let p(m) = 2*m**3 - 5*m**2 + 7. Calculate the remainder when p(3) is divided by o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(256))\/((sqrt(8) - (sqrt(16) + sqrt(64)\/sqrt(4))\/sqrt(2) - sqrt(8))\/sqrt(4)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23593 or -4124?\nAnswer: -4124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1651*r + 144519 - 11993 = -511*r + 401*r for r.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3764*q**2 - 1866*q**2 + 0*q + 3*q - 3*q - 1899*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393805437 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169229\/18 + 9405. Let m = 1767 + -24749\/14. Calculate the common denominator of m and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -163212744*h - 122480080?\nAnswer: -163212744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a - 2. Let f(s) = -2*s. What is -4*f(p) - m(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-16)\/(-10))\/(3\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**2\/7 + 2556*f\/7 - 544428\/7 = 0.\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -52 + 28. Let q be (-1235)\/(-4108) - 2\/j. Suppose -2*u = 7*u. Is u greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594 divided by 9.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = -54. Suppose 155 = -5*w + 155. Suppose -y - y - s = -4*p, w = -2*y + p - 6. Are -1\/5 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13.55 and -861501.\nAnswer: -861514.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*j - 1298 - 571 = 183. What is the highest common factor of j and 11637?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 447105\/78516 - 232\/36?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 3:59 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 240, 2\/9, 2\/7, 10544 in decreasing order.\nAnswer: 10544, 240, 2\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2607, 2432, 2245, 2040, 1811?\n\"Answer: -p**3 - 168*p + 2776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/((2\/6)\/1). Let c(k) = -9*k + 16. Let f(g) = 5*g - 9. Let b(o) = -4*c(o) - 7*f(o). Let s(l) = 8*l - 10. Determine n*b(m) + 3*s(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j\/(j\/(j\/j**6)))\/j))*((j\/j**(-4))\/j)\/j*j**7*j**(2\/7))\/((((j*j\/(j\/(j*j**(-7))))\/j)\/j**(2\/3))\/(j*j\/(j**1*j)*j*j**(2\/3)\/j)) assuming j is positive.\nAnswer: j**(244\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**2 + 1. Suppose 3*t = 2*t + q, 3*q = -4*t + 14. Let a(f) = 5*f**2 - 6*f**t - 6*f**2. Give v(a(g)).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) -1 (c) 9\/224 (d) -0.00965 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {f: 2, y: 1, e: 4, v: 3, m: 9}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 250 and -0.91.\nAnswer: 249.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:06 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68 - 12?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 0 + 64\/4. Suppose -28*z + 24*z = -d. Suppose -z*n + 7 = -5. Solve -3*q - u - 2 = 0, n*q + u - 4*u - 6 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h + 12 = 15*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fftf when four letters picked without replacement from {f: 3, t: 15}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5985571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56773.\nAnswer: 56773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Suppose -2*g - g = 0, -4*b + 3*g = u. List the prime factors of (-24)\/(-6) - (b - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 201*y + 39. Let n be m(7). Suppose -95*s + 93*s + n = 0. Let z = s + 544. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(12\/5)*x**(-3)*x)**(9\/11) assuming x is positive.\nAnswer: x**(18\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3475338 and 174?\nAnswer: 100784802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361 - 356.38. Let l = 3.62 - r. Put -3, -0.03, l in increasing order.\nAnswer: -3, l, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 326*n**4 + 51*n**4 + 23*n**4 + (n**4 + 0*n**4 + n**4)*(1 + 0 - 2).\nAnswer: 398*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1161 divide 383281129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -4\/7, -2, 0.5 in increasing order.\nAnswer: -5, -2, -4\/7, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890238 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqssq. Give prob of sequence qss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -90423, -361634, -813633, -1446420?\n\"Answer: -90394*p**2 - 29*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.56 to 0 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-65) + 11\/5. Solve -6 = -m*y - 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + 2 + sqrt(36)\/sqrt(2) + -3 - ((sqrt(896)\/sqrt(7) - (1 + sqrt(98))) + -3)**2.\nAnswer: -19 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(16)\/sqrt(200) - 3*(sqrt(2) + -2))**2.\nAnswer: -168*sqrt(2)\/5 + 1392\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 66. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 419*v**3 - v**2 + v - 1. Is l(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 116*w - 116*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.8 + -15.8. Which is the nearest to 1\/2? (a) -0.4 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g + 86. Let n be z(11). Is (2 + 0)\/n*-2027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = 7*k - 5*k. Find the common denominator of (1 - 772\/72) + 2 and (-6)\/32*-54 - (0 - k).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose 2*l = -f*l + 36. What is the least common multiple of 8 and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218756583.\nAnswer: 3, 24306287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 6*x + 3*x - 5*x - 4. Let d be r(-3). Suppose 0 = 2*k + 5*h - 96, -2*k + 4*h - d = -71. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131575.\nAnswer: 5, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1346979782 to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 - 9*v + 2. Let f(i) = 5*i**2 - 8*i + 1. Let u(w) = -5*f(w) + 4*s(w). What is u(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347 divided by 1564\nAnswer: 347\/1564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 10, -2, -1, -24, -303 in increasing order.\nAnswer: -303, -24, -2, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 953*o. What is the hundreds digit of g(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -42681?\nAnswer: -1\/42681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -67*m + 1479. Let f(b) = 56*b - 1478. Give 6*f(c) + 5*x(c).\nAnswer: c - 1473","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*h**3 - 329*h**3 + 1008*h**3 - 338*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3135*m**2 - 3135*m**2 + 10*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.035 + 0.535. Which is the second smallest value? (a) 1\/6 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 + 2*c**2)*(91*c**2 - 289*c**2 - 688*c**2).\nAnswer: -1772*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1494*x**3 - 2*x**2 - 116*x + 33. Let y(c) = 299*c**3 + 23*c - 6. Let d(v) = 2*a(v) + 11*y(v). Find the third derivative of d(b) wrt b.\nAnswer: 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/12 + c**3\/3 - c**2 - 8*c. Calculate m(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(315) + -1*(sqrt(315) - 2*sqrt(315)))\/((sqrt(2160)*6 - sqrt(60))\/sqrt(12)))**2.\nAnswer: 12*sqrt(7)\/7 + 4411\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:33 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 19*z = 13*z - 13863538. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u + 107. Let f = 128 + -112. Let y be s(f). Sort 3, 0, -57, y in increasing order.\nAnswer: -57, y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2303.8088 to zero decimal places.\nAnswer: -2304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1857 + 1857.3. Let l = -0.013 + -0.097. Put -4, l, c in ascending order.\nAnswer: -4, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010101202 (base 3) to base 9\nAnswer: -133352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2648596224 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31110 + 56874 = 3126*h - 682*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 912 - 805. Solve -118*c + 77 = -u*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65423\/15864 - -2\/1983. Let h = -671 - -4722\/7. Find the common denominator of o and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Suppose -4*h - c + 14 = -s*h, 0 = 5*h + c - 17. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/9 + 369548*k**3\/9 - 4803778*k**2\/9 - 1478192*k\/9 + 2135016 = 0.\nAnswer: -2, 2, 13, 184761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5968)\/(-4849) + 300\/(-286).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + p + 0*p + (1 + 4 - 6)*(-p + 3*p - 3*p) - 5*p - 2*p + p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-23)\/t*t)**(2\/139))**(-2\/57) assuming t is positive.\nAnswer: t**(92\/7923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4487858674 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(91)\/(sqrt(224)\/sqrt(2) + sqrt(7))*-5)**2 + 5.\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.6901 to one decimal place.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*m + 73*m - 2*w - 702 = 0, w = -5. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 9737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40524 and 1520706.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 4:12 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/3 - -12) + 2. Suppose -14 - k = -3*j - 3*l, 0 = 2*j + 5*l - 25. Put -7, j, -1, 4 in descending order.\nAnswer: j, 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-13)\/(d*d*d**(-2\/3))*(d\/((d*d*d**(-7\/5)\/d*d*d)\/d*d))\/(d\/d**2) assuming d is positive.\nAnswer: d**(-209\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/(-252))\/((-2)\/(48\/10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155008 - -249417. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*q + 15, 0 = -4*s + 8*s - q - 3. Let t be -5*(9\/(-15))\/1. Solve s = -p + t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u + 3414 = 0. Let i = 2626 - u. Let q = 199 - i. What is q rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -2*x**3\/15 + 2*x**2\/5 + 6*x\/5 + 62. Determine t so that g(t) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 8*m - 17*m + 20 = 0. Solve 21*n - g = 24*n - m, 4*n = 4*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*1 + sqrt(343) + sqrt(343) - sqrt(7))**2 + -3 + sqrt(7)*-1.\nAnswer: -sqrt(7) + 2797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**2. Let f(d) be the third derivative of 0*d**3 + 0 + 0*d - 9*d**2 - 3\/8*d**4. Give f(o(i)).\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -55. Let h be (-5)\/(-4) - a - 9\/(-12). Solve -3*v + 1 = w - 3*w, -21 = -3*v - h*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 d when four letters picked without replacement from hhddddhdhddhdd.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 183*l + 2. Let p(m) = 12857 - 6430 - 9*m - 6427. Calculate z(p(v)).\nAnswer: -1647*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -1\/60*x**5 + 0*x - 25\/6*x**3 + 7*x**2 + 5\/12*x**4 + 0. Factor r(n).\nAnswer: -(n - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77708.69g in micrograms?\nAnswer: 77708690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -26. Let f = -4 - m. Suppose -16 = -3*p - 10. Solve 1 = -p*l + f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804059193.\nAnswer: 3, 7, 43, 173, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + 2 + -8 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*i**2 + 10*i - 4*i - 16*i + 8*i.\nAnswer: 42*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(3\/(-2)) + 1. Let h(l) = -l**2 + 5*l - 2. Let m(f) = -3*f**2 + 15*f - 6. Let i(p) = 17*h(p) - 6*m(p). Let s(v) = -v. Calculate r*i(y) + 4*s(y).\nAnswer: -y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -77 - -85 - (-4 + 7 + -7 - (-1 - -1))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 61*k**2 - 6*k - 291. What is the hundreds digit of b(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let r(g) = -821737555*g. Determine r(l(i)).\nAnswer: -1643475110*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8340701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*t + 5, -2 = l + 2*t. Suppose l*f - 11 - 9 = 0. Suppose 5*j - f - 50 = 0. Which is the second biggest value? (a) 0.4 (b) j (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*10\/(-4)*2. What is the tens digit of 160 - p\/15*-3*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390 is divided by 62.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 2, d: 1, t: 1, e: 1, j: 1}. What is prob of sequence qutd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*((-3)\/(-4) + 3). Let i = p + 45. Solve i = -d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. What is the second derivative of -3*r**5 + r**5 + r - x*r wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5606\/3, -2, 2\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 28*l - 29*l. Put -73, l, -1\/3 in ascending order.\nAnswer: -73, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j**2 - j + 15. Let i be k(-4). Let w be (195\/9)\/(i\/(-81)*-1). Round w to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*d, 3*d + 4*x - 6 = x. Let f be (-121)\/(-33) - d\/3. Suppose 0 = -3*y - 3*n + 1392, -f*y - y = -2*n - 2341. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**4\/24 + 7*n**3\/2 + 8*n**2. Does 6 divide v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109*-19\nAnswer: -2071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 10*c**2 - 15*c + 7. Let n be m(-11). Suppose -n*w = -47*w - 5132. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.24 in -2\/5, 0.4, 6, 51\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 - -193.999698. What is l rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38397 is divided by 153.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6251 + 6627. What is the remainder when 814 is divided by r?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -3*d + 15, 4*d - 2*r - 13 = r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206047806 to the nearest integer?\nAnswer: 14354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 259 = -128. Let g = m - 104. What is the remainder when 147 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76.3570558 + 1.5\nAnswer: 77.8570558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d + 2*d = 0. Suppose -3*h + d*h = 5*h. Let a(u) be the second derivative of u**3\/6 - 7*u**2\/2 + 2*u. What is a(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-110)*(105 + -110).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13653399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 15. Let t(n) be the second derivative of 1\/10*n**6 - 3\/20*n**5 + 0 + p*n**2 + 6*n + 0*n**3 + 0*n**4. Factor t(b).\nAnswer: 3*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z. Let b be u(-1). Suppose -b*v + 0*v = -10352. Let k = -903 + v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3741755 is divided by 162685.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -20)*(2 + 0 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17277 + -17282. Which is the third smallest value? (a) 0.37 (b) -1\/7 (c) 3 (d) -0.02 (e) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**7\/36 - 17*c**5\/60 - 5*c**4\/3 - 11*c. Let k(u) be the third derivative of x(u). Differentiate k(g) with respect to g.\nAnswer: 140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 1\/60*m**5 + 0*m - 1\/6*m**3 + 1\/6*m**4 + m**2 + 0. Let i be x(-5). Let z(f) = f**3 - 3*f**2 - 7*f + 6. Give z(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-2)\/20 - 0. Suppose 4 = i + 2. Let j(b) = -b**3 + 3*b**2 - 4*b + 3. Let z be j(i). Is z > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + -15 + 25 + -4 - 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**3 + c**2 - 2*c + 2. What is q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 330, 331, 358, 423?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009212651 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 11*b - 12. Let n(v) = -v. Let c be n(-9). Let o be w(c). Suppose -o*m + 3*m = 0. Is -2\/23 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/30)\/(24\/(-180))*(-40)\/45?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -30*m**3 + 21*m**2 + 21*m - 21. Let k be (((-1407)\/9)\/7)\/(3\/9). Let s = k + 69. Let z(a) = 3*a**3 - 2*a**2 - 2*a + 2. Determine s*p(g) + 21*z(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -4. Let w(g) = -6*g**3 + 7*g - 4. Let c(m) = -6*m**3 + 8*m - 3. Let o(j) = n*c(j) + 3*w(j). Find the second derivative of o(u) wrt u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 + 1814. Let u(g) = -5*g. What is o(u(z))?\nAnswer: -100*z**2 + 1814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5\/7 + z**4\/7 - 45*z**3\/7 + 95*z**2\/7 + 44*z\/7 - 96\/7 = 0.\nAnswer: -8, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10 = 4*k - i, -6 = -3*k - 2*i. Suppose 2*y - k*y = 0. Let d be 529\/(-69) - (-4 + -5). Is y less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2735705397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*x**2 + 36*x**2 - 151*x**2 to w + o*x**2 + n*x and give o.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 9823601?\nAnswer: 50\/9823601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 3727.\nAnswer: 1, 3, 3727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 679901940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/14 - (-6)\/(-21). Suppose b*q - 20 = -q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 4*v**2 + 4*v**2)*(0 + 2*v + 0) + (-3*v + 2*v + 0*v)*(-3*v**2 + v**2 + 0*v**2) - 16*v**2 + 16*v**2 - 6*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*c + 2 = 0, r + 3*c - 8 = -0*r. Solve r*i + 0*i - 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, b: 4, g: 6}. Give prob of picking 1 b, 2 m, and 1 g.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.57, -5, -1\/11, 13?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*g - 19 = 0, -6*g - 5 = p - 3*g. Let v = p + 10. Differentiate 6*l**2 - 6*l**v + 3*l**3 - 4 with respect to l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 - -12460?\nAnswer: 12360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 85. Let p be (-3 - 44\/n)*3. Let f(l) be the third derivative of l**4\/12 - l**3\/2 - 2*l**2. Calculate f(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -475374402*x**2 - 2130*x + 9865 wrt x?\nAnswer: -950748804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/12*-19*(-15)\/3135\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9330 (b) 0.23 (c) -2 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -19*o**6\/60 - 13*o**5\/60 - 4*o**3\/3 - o**2 + 190*o. What is the third derivative of g(l) wrt l?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 1\/6*j**4 + 0*j + 0 + 6*j**2 - 19\/6*j**3. Let l be c(9). Solve 5*n = 2*f - l, n + 8 = -f - 2*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2609324 is divided by 434885?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/63)\/(r*r*r**(-1\/32))*(r**(2\/9))**27 assuming r is positive.\nAnswer: r**(8191\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 - 6*m - 2. Suppose 5*d + 41 = 4*f, 6 = -4*d - f - 10. Is r(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -6*a + 3*d + 88, 4*a = -5*d + 120. Let p(w) = w**2 - 27*w + 57. Let m be p(a). Calculate the highest common divisor of 28 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000069925561 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 9*y - 8. Let c be m(10). Let f(b) = 6*b**2 - 22*b - 11. Let o be f(-5). Suppose 3*k - c = o. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37446 and 205953.\nAnswer: 411906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l**2. Let r(b) = -24 + 3*b - 5*b - 31 + 85 - 23. Give q(r(s)).\nAnswer: -40*s**2 + 280*s - 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*(-16)\/18 - 1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16653 = -923*k + 9191 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(11*b**4 - 16*b**4 - 27*b**4)*(-7 + 17 + 5).\nAnswer: -1440*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/21)\/(1\/(-3)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -7*u**4\/4 - 9*u**3\/2 + 9*u**2\/4 = 0.\nAnswer: -3, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by -34402?\nAnswer: 79\/34402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 151 = 49. Let c be (-1 + -29)\/((-30)\/y). Suppose 0 = -7*v - 3*v + c. Solve 0 = -v*l - 2 - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (354 - 26*q - 354)*(-2 + 2*q - q - 3*q) as i + s*q + z*q**2 and give s.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5156 * -1.\nAnswer: -5156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -0.5, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3105*t - 503027. Calculate f(162).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5))**(3\/13)*(i\/(i**(2\/7)\/i*i))\/i*i**(-2\/33) assuming i is positive.\nAnswer: i**(-3121\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y + 37*y = 5*z + 16, -2*z - 4*y = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 0.1, -3, -10?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2136*y - 29107 = -106003 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*52.4269.\nAnswer: -786.4035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1\/2)))\/s*s*s\/(s\/((s*s**5)\/s)*s) assuming s is positive.\nAnswer: s**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 5*a**2 + 2*a - 10. Let q be y(-6). Suppose 2*z = 84 - q. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 35\/(770\/(-88))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s + 210. Let a be m(27). Which is greater: -57 or a?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1*sqrt(12) + sqrt(12)\/sqrt(4) + 4)**2.\nAnswer: 32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*u + 7, 5*u = 4*u + 5*b + 1. What is the remainder when 87 is divided by u\/14 - 4430\/(-70)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 34*o - 9 - 1 + (2*o - o + o)*(-1 + 0 + 2) + 2*o + 7*o - 7*o)*(-4*o + 2*o - o)*(-1 - 2 + 2) to the form b*o + u*o**2 + n and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 23 = -4*m, 5*t = -m - 20 + 38 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 922208430*k**3 - 135452118*k.\nAnswer: 5533250580*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 133, 321, 607, 1003, 1521, 2173?\n\"Answer: 2*o**3 + 31*o**2 - 5*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 0*x - 5*x + 9*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1915126, 1915151, 1915176, 1915201, 1915226?\nAnswer: 1915251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -50. Let w = 5 - k. What is the tens digit of -123*(w\/(-6) + 2 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606616555.\nAnswer: 5, 121323311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303 + 1332242230?\nAnswer: 1332243033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 - -229.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91644609?\nAnswer: 3, 7, 4364029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*o = 1, -7*o = -3*q - 6*o - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6) + 9822\/558 + -17.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*f - 17 = 0, 0 = -2*s + 27*f - 30*f - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - 2*s - 20 - 79 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeoeooaoolae. What is prob of sequence oeoa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let g(y) = 12*y**2 - 5*y - 20. Let f(p) = -2*p**2 + p + 2. Let a(s) = -5*f(s) - g(s). What is a(o(c))?\nAnswer: -8*c**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5657?\nAnswer: 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0 (c) 1\/6 (d) 0.14 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = 2*z. Let o = z + -6. Solve -2*r - 5*i + 3 - 4 = 0, -i = o*r - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 309529 - 309376 - 4*f**2 + 7*f**2 as g*f + i + z*f**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23507, 188027, 634563, 1504127, 2937731, 5076387, 8061107?\n\"Answer: 23502*u**3 - 4*u**2 + 18*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -30\/71, 4, -2?\nAnswer: -30\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, q: 1, d: 3, w: 2, m: 1}. Give prob of sequence zqd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 136*d - 150 - 8. Let r(w) be the third derivative of 0 + 3*w**d - 9\/20*w**5 + 0*w**3 + 0*w**4 + 0*w. Let v(a) = -2*a**2. What is v(r(t))?\nAnswer: -1458*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 337*s**8\/8 + 805*s**4\/12 + 41*s + 20. What is the third derivative of i(w) wrt w?\nAnswer: 283080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4\/3, 4, 1\/2, -2, -72?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c = -225. Calculate the remainder when c is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173369205 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -61. What is the smallest common multiple of l and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (0 - (-19 - 7))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 8.7.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 222*o - 9. What is the hundreds digit of x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*q = 2*q - 21, 3*v = -4*q - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3 + 3)*(2*y**2 - 4*y**2 + 6*y**2) - 6*y**3 + 3*y**3 + 0*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m. Let p(t) = -t - 9. Let j be p(-5). Let f(c) = -16*c. Calculate j*f(n) + 22*g(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1927*v + 5111*v - 169*v)*(2 + v - 2).\nAnswer: 6869*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 8*j. Suppose -6 = -j*a - 3*a. Suppose 5*f + 521 = a*w + 38, 2*w - 495 = f. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 4. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/35 + 3\/5. Let m = -4571 + 45661\/10. What is the common denominator of u and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -63.955. Let i = g + -0.044984. What is i rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*i + 1. Calculate the lowest common multiple of (12 + 4\/i)\/2 and (-112)\/(-728) - (-100)\/26.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179 + 4. List the prime factors of y.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2) - (-3298)\/(-12). Let v = 698999321\/60 - 11649717. Let j = v + n. Calculate the common denominator of j and 151\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -9b13?\nAnswer: -9b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8693, 8718, 8765, 8846, 8973, 9158?\nAnswer: 9413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1211010330 (base 4) to base 9\nAnswer: -700823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 1327\/139 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**30*j*j**(-6\/11) assuming j is positive.\nAnswer: j**(335\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005985686818 to 7 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, g: 15}. Give prob of sequence dgd.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*b - 4794 = -48*b + 159. What is the highest common divisor of 2054 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8515106 to the nearest integer?\nAnswer: 2918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 3*n + 2, 11*w = 16*w - 4*n + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 51*u - 19. Give n(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83194609 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367330 is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284.50183 rounded to zero decimal places?\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + h**2 + 0*h**2. Let q(l) be the second derivative of 0 + 2\/3*l**3 + 0*l**2 - l. Give g(q(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 20*z**2 + 5*z**2 - z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3, -5*i + 8 = -0*t + 3*t. Suppose -y - s = -t, 0*s = 3*y + 5*s + 5. Suppose y*a - a - 40 = 0. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/((-63)\/7)*(-2)\/((-2)\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let s(h) be the second derivative of 1\/6*h**4 + 0*h**2 + 185\/6*h**3 + 90*h + 2. Calculate s(m(d)).\nAnswer: 8*d**2 - 370*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0467*-255\nAnswer: 11.9085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/19)*d**(-6\/7)\/d*d**(2\/17)*d\/d**1)\/((d**5*d)\/d*d**4)**(-10) assuming d is positive.\nAnswer: d**(202056\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 219234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = 3*h - 14, -30 = -5*h + 4*r. Suppose -o + 2*s + 228 = 0, -3*s + 857 = -h*o + 10*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017277 (base 8) in base 3?\nAnswer: 1000000222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5280 divided by 2.\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(12) + sqrt(768)*1) + -4)**2.\nAnswer: -8*sqrt(7)\/9 + 1303\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8683 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y**2 + 6*y + 1. Let a be i(6). Suppose -9*z = -8*z - 2. Sort z, a, -5 in decreasing order.\nAnswer: z, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 11*k**2 - 4*k + 5. Let f be g(-6). Let b(t) = -t**3 - 8*t**2 - 6*t + 7. Let n be b(f). Solve -3*c = -4*p - 20, p - c + 0*c + 6 = n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 111*q**2 - 17*q - 20. Let i(y) = -145*y**2 + 52*y + 38. Let a(f) = -49*f**2 + 18*f + 13. Let z(k) = 17*a(k) - 6*i(k). What is -6*m(u) + 17*z(u)?\nAnswer: -37*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -85*v - 8, -148*v + 3*o - 12 = -145*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8149 - 8148.96. What is the third smallest value in q, -0.4, -0.5, 0.5, 1\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60432837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -2\/19, -1\/3, 0.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 21\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**2*w*w**(1\/5)*(w\/(w\/(w*w\/(w*w*w\/(w**(-1)*w))*w)))\/((w*w**(3\/10)*w*w)\/w) assuming w is positive.\nAnswer: w**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 342 = 5*p, -10*y + 10*y + 5*p + 334 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 24*i - 141. Let m be z(-14). Which is greater: 1\/586 or m?\nAnswer: 1\/586","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/49*42\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.026, 11843, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 11 = 5*f, -3*f - 26376 = -3*g. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - 50 - (-4 - (6 + -16))) + (-122)\/10.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -134+-758.053\nAnswer: -892.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1401173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) + 1) - -2*sqrt(5)*-6.\nAnswer: -18*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 10068?\nAnswer: 10072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) 1\/7 (c) 54\/7 (d) -1\/4 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -589, -1158, -1727?\nAnswer: -2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**2. Let h(s) = -182*s + 355*s - 180*s. Calculate r(h(t)).\nAnswer: 392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {x: 3, w: 6, v: 6, j: 1, q: 3, m: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 108 + -7?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1101100010010001101 (base 2) to base 12\nAnswer: 194811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*u = -1422, -5*y - u + 6*u - 2390 = 0. Let k = 1593 + y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2 - 6. List the prime factors of v + (-4 - -3) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12.37, 5\/2978 in ascending order.\nAnswer: 0, 5\/2978, 12.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 447721571*w**3 + 457922608*w**2 wrt w.\nAnswer: 2686329426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1087 - -0.0187. Which is the nearest to 1\/3? (a) -2\/7 (b) f (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4)*p*p*p\/(p**(-13)\/p*p))\/(p**(6\/5)*p*p**(8\/5)*p))**(-4) assuming p is positive.\nAnswer: p**(-324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-300)\/400)\/((2\/(-8))\/1). Solve 2*z + 4*h = -14, z - 18 = t*z + 5*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 165002.06 + -164866.06134. Let t = 136 - a. What is t rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, y: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z = -13*z - 9*z - 5*m + 7, 120*z + 78*z = -3*m + 782 + 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -71.5372 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 - -195. What is the remainder when b is divided by (35 - 6) + 2 + -2?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -11, -1\/4, -5 in decreasing order.\nAnswer: 1, -1\/4, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -583*n**7\/42 + n**4\/6 + 7*n**3\/3 + 251*n**2\/2 - 4*n - 180. What is the second derivative of l(y) wrt y?\nAnswer: -11660*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 + 22 - 1797 + 2*g**2 + 5 - 2*g**3.\nAnswer: g**3 + 2*g**2 - 1770","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 313\/(-55) + (-109)\/(-1199)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 1409, 4774, 11327, 22130, 38245?\nAnswer: 60734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n + 6. Let g(z) = -13*z - 11. Calculate 4*g(r) + 7*p(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 974830 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b + 84*b = 5*s + 50, 4*s - 2*b + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -0.3 (b) 0.4 (c) -5 (d) 0.23 (e) 4.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8 + 19 - 6 + 3 + 4 + 0 - 2 - 1 + (-4 + 5 + 1)*(-2 - 1 + 5) - 4 + 2 + 4 - 2 - 2 - 1)*(6*p + 8*p - 4*p).\nAnswer: 280*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {l: 7, g: 2, d: 1, r: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*u + 31 = 0, -16*t - 56228 = -4*u - 56124 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, t: 1, m: 7, z: 1, e: 3}. What is prob of picking 1 t and 2 e?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12143 (base 6) to base 8\nAnswer: -3377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72) - (sqrt(72) + (1*sqrt(72)*-2 - sqrt(72)) + sqrt(72)))))\/(sqrt(16)\/(sqrt(100)*5)).\nAnswer: 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 75\/18 - (7575\/202 - (17 - -19))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -265 + -12?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 35, 49, 59, 65, 67, 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 + -1572.867116?\nAnswer: -1570.467116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 164789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6 - 15393*p**3 + 1.\nAnswer: -15393*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 - 247.3. Let b = 757.544 - 744. Let l = b + u. Round l to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 16*q + 12. Let b(x) = -50*x - 38. Let z(m) = 5*b(m) + 16*g(m). Let t(y) = -y + 1. Give 4*t(r) + z(r).\nAnswer: 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3900 = -592*m - 6164 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28320 (base 9) in base 10?\nAnswer: -19215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27389 + 39934. Let l = -12420.06 + y. Let b = -125 + l. Round b to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddidddcddiidiidddd. What is prob of picking 1 c and 2 d?\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 116*g + 6*g**2 - 54*g - 37*g.\nAnswer: g**2 - 207*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 51 * -16442\nAnswer: -838542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 153 (b) -0.1 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 262*t - 259*t, 0 = 3*n - 3*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 234461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002533452951 to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**5 + 35415*h**4 - 142*h**3 - 60753017*h**2.\nAnswer: 60*h**2 + 849960*h - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 456 + -46. What is the greatest common divisor of 30 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.2 - -8.2. Let d = x - -18.8. Let w = -8.8 + d. Put w, 5\/2, 3, 0.4 in descending order.\nAnswer: 3, 5\/2, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6672 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -961.1 + 960.78. What is the smallest value in -10, 0.3, -1, j?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 + 0.1100261. What is h rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 46219.15\nAnswer: -13865.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96432 and 88560.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.83 - 0.17. Let f = x + 17.00000015. What is f rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 22. Let k be r(-6). Solve 12 = -4*o - 4*f - 20, o - k*f = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 548 - 536. Calculate the remainder when 1367 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqvtdtqtqqqqqqq. Give prob of picking 2 q.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -16*q**4\/13 - 2646*q**3\/13 - 974*q**2\/13 + 2646*q\/13 + 990\/13 = 0.\nAnswer: -165, -1, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times -9?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392813756 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -2*l**3\/3 - 7*l - 2920. Let x(o) = o**2 + 100. What is x(d(w))?\nAnswer: 4*w**4 + 28*w**2 + 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(1331) - (sqrt(1331) - 2*sqrt(1331))*3.\nAnswer: -4 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 622367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8378*m - 8378*m + 81545*m**3.\nAnswer: 81545*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -115*o - 504. Let f(z) = -20*z - 101. Let w(s) = 11*f(s) - 2*l(s). What is w(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*v**2 + 23*v + 359*v**2 - 23*v in the form r + p*v + m*v**2 and give m.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-242)*8*6\/4.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*r = 61, 0 = -u - u - 2*r - 26. Let k = u - -20. Suppose 2*f = 122 - 40. Calculate the remainder when f is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 115\/25)*(31 - 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n**2 + 1. Let f(l) = 5*l**3 - 4*l**2 - l + 5. Give -f(u) + 5*y(u).\nAnswer: -10*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -144*n**3 - n**2. Let m be k(-1). Calculate the remainder when 87 is divided by (m\/78)\/(3\/18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 + 3*f - 96. What is j(10)?\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25121 or -17\/6?\nAnswer: 25121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 41*f**2 + 30*f - 10. Let c be z(-21). Suppose -10*b + c = -2090. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -756362 - -756326.6963. What is j rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -31*w - 3. Let r(q) = 30*q + 3. Let v(k) = 5*j(k) + 6*r(k). Let z be v(-2). Let f = z + 66. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0108206567 to 6 dps.\nAnswer: 0.010821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.126723 + 0.3\nAnswer: 0.173277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 * -4090408.\nAnswer: -1472546.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*c = -9, 3*z - 7*z - 4*c = 12. Suppose z*h - 2*o + 13 = 5*h, h = -4*o - 1. Let y(u) = 3 - 3 + u. Let s(b) = -6*b. What is h*s(g) + 16*y(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12869 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 5, -4 in increasing order.\nAnswer: -4, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egeleebee. What is prob of sequence lgbe?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 + 66. Let h(v) = 2*v**3 - v - 65. Suppose 0 = 20*n + 9*n - 116. Let b(a) = n*y(a) + 5*h(a). Find the first derivative of b(q) wrt q.\nAnswer: -6*q**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -13\nAnswer: -44\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 4:05 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.581 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**3\/2 - 5*w**2 + 68*w - 1. Let z be h(-5). Solve -2 = -z*x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**4\/20 - 7*k**3\/3 - 37*k**2\/5 - 86. Find l, given that p(l) = 0.\nAnswer: -2, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 0.012 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, -1\/7, 0.4, -1, -1\/3 in decreasing order.\nAnswer: 0.4, 1\/14, -1\/7, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2 + 5. Let s be ((-1)\/o)\/(1\/(-9)). Suppose 47 = s*b - 31. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1346 + 1345. Let o(x) = -38*x**3 - 1. Determine o(u).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 6*t + 5*t. Let f be (-56)\/(-21)*((-35)\/t - -2). What is the tens digit of 131 - f\/(-27)*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 391 + 4494. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 30 = -q. Let g = 12 - q. Calculate the least common multiple of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9 - (352\/12 + -2). Let w = z - -30. Find the third derivative of -237*n**3 - 14*n**2 - 225*n**w + 453*n**3 wrt n.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(2)*-1) + sqrt(154)\/(sqrt(21)\/sqrt(3)))\/(sqrt(16)\/(-4*sqrt(32))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:41 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*x**2 - 3*x - 1 - 11*x - 35*x**2.\nAnswer: 5*x**2 - 14*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 3 + (1 - (-6 + 8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2188\/61 - 10879\/305. Determine h so that 1\/5*h - l*h**3 + 3\/5*h**2 - 3\/5*h**4 + 0 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from chccete.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13531352 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 8*q + 10 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101928 at most 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 32. Let t = 141 - 123. Let y be b(t). Solve -y*j - 2*p = 18, -j - 4*p + 0*p - 15 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 360. What is the units digit of b\/2 - 22\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27973957093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231451 is divided by 3398.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 11 + a + 14 as p + w*a and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7742 - -1.8. What is n rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g + 390. Let f = 215 - g. Suppose 5*w - 5*v = f, -2*w = 3*w - v - 333. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34001 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-272)\/18)\/(-4) + -4. Let p(t) = t**2 - 6*t - 7. Let r be p(7). What is the closest to 0.1 in q, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 + w**5 + 0*w**5 + (-2*w**5 - w**5 + 5*w**5)*((-2 + 1 + 0)*(-1 - 4 + 4) - 4 + 4 + 2 + (0 - 5 + 4)*(165 + 47 - 70)).\nAnswer: -280*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136110.\nAnswer: 2, 3, 5, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 11180.\nAnswer: 33540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100\/45 - 4\/18. Suppose -2*n - g*n - 3*p + 12 = 0, 5*p + 12 = 4*n. Let t(h) = -2*h + 6*h - n*h + 0*h. Let c(v) = -58*v. Calculate c(t(u)).\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/16403 and -34\/117613?\nAnswer: 5527811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012439 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let u be (1\/((-5)\/(-4) + s))\/(-2). Suppose 0 = o - 2 + 1. Sort 3, u, -4, o in increasing order.\nAnswer: -4, u, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -3\/5*t**5 + 0*t**4 - 8 + 0*t + 0*t**2 + 11\/3*t**3. Find the third derivative of f(u) wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3311*p**3 - 3388*p**3 - 1 + p as a*p**2 + w + t*p + i*p**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + -48?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 minus 23734?\nAnswer: -23735.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18, 4, -5, 108, 7 in increasing order.\nAnswer: -5, -1, 4, 7, 18, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2705\/3 + -910. Let j = v + 131\/15. Sort 1, j, -0.3 in descending order.\nAnswer: 1, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043 (base 5) in base 13?\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 771 in -2\/7, -0.3, 1.3, -3\/5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23841113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-10))\/((-6)\/(-15)). Suppose 0*x = f*x. Let q be (-4 + 23)*(1 - x). Solve 8 = -0*n + 2*n - 2*t, -4*t + q = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68347498?\nAnswer: 2, 31, 1039, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 11*m + 2. Let c be w(12). Calculate the greatest common divisor of c and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199592 + -127292. Round i to the nearest one thousand.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/23 + -1261\/46. What is the common denominator of 45\/26 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**3 - 3*p**2 + 8*p - 7. Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t + 17*t + 8*t in the form y*t + d and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 1, g: 17}. What is prob of sequence sgg?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114302396.\nAnswer: 2, 13, 103, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + 40. Suppose 3*f - 3*j = -w*j - 22, 0 = -5*j - 10. Let g(v) = -v**2 - 3*v - 1. What is g(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 14 - 2 = 0. Let h be 4*(-7 + 5) + o. Let f(b) = b**2 + 10*b + 13. Let d be f(h). Solve 2*j - 2*c + 4*c = -d, 3*j = 4*c - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*c + 85 = -9, s = -2*c + 22. Let g(k) = 47 - 25 - s. Let r(z) = z**2 + 5. Calculate 5*g(p) + 4*r(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {x: 1, h: 2, v: 7, q: 3, c: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p + 427 = -33*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 165\/(-300)*(-102)\/187\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 394, 1, 5\/2, -51, -0.21, 0.3, -0.2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 38 - 10*c + 19*c - 3*c to the form r*c + o and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8702974 * 3.\nAnswer: 26108922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**2 + 2 - 2 + (-5*o + 15*o + 5*o)*((-4 - 1 + 4)*(0*o + o - 2*o) + o + 4*o - 2*o - 1 + 1 - o) + 497 - 497 + 27*o**2.\nAnswer: 79*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -k - o, 9*k - 30*o - 36 = -26*o. Determine f so that -2\/9*f**3 + 0*f**2 + k + 2\/9*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 26. Let f be r(-11). Calculate the common denominator of f\/(168\/(-303)) + 3 and ((-1)\/(-2))\/(22\/46).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -6.2.\nAnswer: -2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**4 + 14*q**3 + 6*q**2 + 4*q - 2. Let d(a) = -a**5 - a**2 - a**4 + a**3 + a - 7 + 5 + 1. Let c = 1 + 0. Let r(w) = c*f(w) - 2*d(w). Factor r(s).\nAnswer: 2*s*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 + 17336*r**2\/7 - 12394*r - 34692.\nAnswer: 2*(r - 7)*(r + 2)*(r + 8673)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 222032568 to the power of 1\/2, to the nearest integer?\nAnswer: 14901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1084 - -1133.3. Let b = 49 - f. What is the biggest value in b, -3, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 28 = d. What is the remainder when 23 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 2*(-2)\/(-1). Let k(o) = -o**2 - 6*o - 6 - 4 + 7 + 0*o. Calculate k(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 7*d**2 + 9*d + 37. Let w be c(-3). Do w and -8\/755 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403075847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 - -51?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2*q - 29. Let j be y(-6). Let w be (j - -8)\/((-21)\/14). Let g = -1 + 1. What is the closest to g in w, 3, 2.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(11) - sqrt(11)*2)**2 + -5)*6 + 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806698.\nAnswer: 2, 131, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/9)\/(4\/(-3)). Let p = 0.78 - 1.48. Which is the closest to s? (a) 0.4 (b) 2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21220 (base 3) in base 6?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19212 is divided by 4533.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + c + 3*c - c. Let n(g) = g**2. What is n(s(q))?\nAnswer: q**4 + 6*q**3 + 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4033 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1633*u**3 - 62*u**3 - 5*u**3.\nAnswer: -1700*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 23. Suppose 0 = -4*g - 4, 2*w - 4*g - g = -15. Let u be h(w). What is the tens digit of u + -1 + 126\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-2 + 5))*-8. Let n(h) = 9*h**2 + h + 2. Let y be n(2). Calculate the highest common factor of u and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 221, 3, 7.\nAnswer: 1, 3, 7, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75615 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0. Let p(b) = -5*b + 14. Let k(w) = 4*w - 13. Let f(u) = -6*k(u) - 5*p(u). Let v be f(0). Sort a, v, 0.3.\nAnswer: a, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/(-65))\/(385\/(-175))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -9. Suppose p*d - 12 = 5*u, 0 = 4*d + d + 5*u + 5. What is the derivative of -5*y**2 + 5*y**2 + 2*y**2 + d wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*y - 22*y + 64. What is the lowest common multiple of 8 and (30\/y)\/(15\/40)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g - 15*g**2 + 2*g**3 + 5*g**2 + 9*g**2 to h*g**2 + k*g + m + j*g**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84.064 + 84. Let u = t - -0.06399686. Round u to seven dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 18. Solve 5*u = -0 + m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 478293939 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -996823 not equal to -996824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5188095*f**3 - 5392269 with respect to f.\nAnswer: 15564285*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -23, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 1. Let h(j) = -3*j - 6. Let q(b) be the first derivative of -1\/2*b**2 - 1\/4*b**4 - 1 - 5*b + 4\/3*b**3. Let o be q(3). Give o*h(v) - 6*s(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -586 - -629. Let p = 8836 + -8879.17. Let y = p + q. Round y to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v - 165 - 15 = -54 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 2*n**2 + n**2. Suppose -10*z = -7*z - 3. What is a(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/3 + 59*j**4 - 184*j**3\/3 - 356*j**2 = 0. What is j?\nAnswer: -178, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**2*b + a**2 + 3*a*b - a + 3439*b wrt a.\nAnswer: 6*a*b + 2*a + 3*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5998485247?\nAnswer: 79, 347, 218819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-36)*12\/70?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - -5) - -5 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, 12, 3\/7, 0.1 in descending order.\nAnswer: 105, 12, 3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjdjdjjdjjjjjjjjj. Give prob of picking 1 j and 1 d.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 3:43 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + 4 - 4 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*p - 18 = 90*p + 52 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -333429*q**3 + 10*q**2 + 24055270*q?\nAnswer: -2000574*q + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:55 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2 + 479*c + 7731.\nAnswer: -2*c + 479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43, 0.7, 0.3, 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -965, 0.2, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6838793 and 46215.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244450 (base 6) to base 13.\nAnswer: -9bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3803\/660 + 36\/55. Let r = -23\/4 + w. What is the smallest value in -2, -54, r?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 18108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f = 49*f. Let m be (5 - 2) + f + 2. Solve m*i + 11 = 2*n, -3*n - 20 = 4*i + n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97\/5 + 1063\/55. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44486111, -44486110, -44486109?\n\"Answer: j - 44486112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/715 - 2159\/5005. Which is the third smallest value? (a) o (b) 1 (c) -0.3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/133 and -49\/11932684.\nAnswer: 83528788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-26) + (2 - 150\/55). Which is bigger: 0.3 or t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -119.2, -73, -346, 0.1 in decreasing order.\nAnswer: 0.1, -73, -119.2, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 x, and 1 v when four letters picked without replacement from svswvvwsvxwvwaswxas.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + 3 + (0 - -5). Let c(q) = q**3 - 16*q**2 + 2*q - 24. What is c(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30910 and 1892?\nAnswer: 2658260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1890 divided by 4.\nAnswer: -945\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-7\/4))\/c*c**(2\/9)*c)**(-8\/5))**(-3\/20))**2 assuming c is positive.\nAnswer: c**(-19\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 7 + -4 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530200.\nAnswer: 2, 5, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1636*v**5 - 45828*v**4 - 270500*v**3 + 732900*v**2 + 9000*v = 0. Calculate v.\nAnswer: -15, -5\/409, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -2*t**7\/21 - 14*t**6\/15 + 2*t**5\/5 + 104*t**4\/3 + 448*t**3\/3 + 256*t**2 + 8261*t. Suppose m(s) = 0. What is s?\nAnswer: -4, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 54*d + 57*d + 1931793 = 0, 2*x + 5*d - 643877 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022816251 to 5 decimal places.\nAnswer: 0.00228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 76328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 3*l = 0. Are l and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-44)\/(-12) + 58\/(-6). Let b = i + 15. Suppose 5*d + 21 = 2*t, t - 3*d + b = 2*t. Solve 1 = -3*u + 2*l + 7, 4*u + l = t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (17 + -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/6 (b) -4 (c) 3\/102865\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2996 is divided by 995?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8713\/6 - -1435. Calculate the common denominator of h and -49\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27960 is divided by 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**4\/3 + 5*d**3\/6 + d + 3. Let o(i) be the first derivative of a(i). Find the second derivative of o(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178 + 177. Let l(w) = 1. Let h(v) = 2*v + 2. What is q*h(t) + 5*l(t)?\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 59*g**2 - 2*g - 166. Calculate v(0).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/210*(-10)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30441 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*a - 145, 59 = 3*a - 5*j - 54. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80*96\/6912*(-12)\/50.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from hvy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 5:16 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1528*s + 90*s - 381*s + 696*s.\nAnswer: 1933*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 15*h - 6 = 2*z, -4*h - 5*z = 33 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1807355349 to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(66) - sqrt(66) - sqrt(66)) + 5*sqrt(66)*1)\/((sqrt(150) - -5*sqrt(150))*1).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldlelelllleel. What is prob of picking 1 d and 2 e?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 51 = -5*y, 0*y - y = -2*l + 27. 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: In base 11, what is -377707 - 1?\nAnswer: -377708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, n: 5, a: 1, g: 5}. Give prob of picking 1 n and 2 c.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(275))*1*-4)**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34280 (base 13) to base 5.\nAnswer: 11014123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -23\/8, -5\/4, -9.5, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 508 and 12333478.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - 4*a)*(-2*a**2 + 0*a**2 - 3*a**2) + 519*a**3 + 340*a**3 - 136*a**3.\nAnswer: 733*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**2 - 9*h**2 + 43*h**2)*(0 - 2 + 1 + (-3 - 1 + 5)*(-24 - 72 + 19)) as k + m*h + w*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*f, -4*f - 6904 = 4*t - 91204. Suppose 19*g + t = 54*g. What is the highest common factor of 28 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*1254\/95)\/(-8*5\/50)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -1 in descending order.\nAnswer: 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 5 + 4)*(-2*d + 0*d + 3*d) + (-d - 2 + 2)*(-2 + 4 - 1).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 1. Suppose -4*h - 5*w + 21 = 0, 2*h + 3*w - 19 = -2*h. What is l(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2188 + -10936\/5. Which is the nearest to 0.2? (a) 1\/10 (b) 3\/32 (c) 3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 20477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*n - 2, 6 + 5 = 3*d + n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17538988 - -2800645\nAnswer: 20339633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -5 (b) 110 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -62.5. Put -0.1, k, 0 in decreasing order.\nAnswer: 0, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 98 + 2 - (0\/(-2) + 1). Let d = 188 - k. List the prime factors of d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437 greater than 3438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63807*f**5*o + 2*f**3*o**3 - 13*f*o**2 - 2*f - o**3 + 611 wrt f.\nAnswer: 1276140*f**3*o + 12*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from yvvvvvvuduevuvuvy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**4 - g**4 + 3*g**4)*(5 - 1 - 3) + (8*g**2 + 6*g**2 + g**2)*(-2*g**2 - 3*g**2 + 3*g**2) in the form h*g**4 + c + q*g**3 + z*g + y*g**2 and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2. Let l(p) be the first derivative of -5*p**2\/2 + 4. What is x(l(q))?\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c - 1. Suppose 0 = 3*b - 2*b + 13. Let v(j) = 4*j + 1. Suppose -4*s + l - 17 - 5 = 0, 0 = -l - 2. Let z(w) = b*v(w) + s*o(w). Calculate z(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 90, -120?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3064123 (base 7) to base 4.\nAnswer: -1122002113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 17. Let z be 4\/16*0 + v. What is the highest common factor of z and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - -4 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10829*z. Let d(a) = -6235*a. Determine d(c(l)).\nAnswer: -67518815*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 less than 256948373.2?\nAnswer: 256948373.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from {q: 1, h: 5, i: 5}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1541804 and -87\/2.\nAnswer: 1541804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727427 is divided by 709?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -1.69. Let m = -0.01 + x. Put m, -1, -2\/17 in descending order.\nAnswer: -2\/17, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50504 and 3658.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/14)\/(74*(-79)\/(-40922))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0*r**3 - 2*r**2 + 0*r**3 - 1 - 2*r - 3*r**3 + 0*r**3. Let o be z(-1). Suppose 2*n = o*y + 2, -n + 4*y = n - 6. Which is smaller: -1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -51 (b) 470\/23 (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 20) + -2 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -406*u + 410*u - 3*l, -2*u = -2*l - 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399275163 to the power of 1\/2, to the nearest integer?\nAnswer: 37407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 5)*(0*j + 5*j - j)*(16 + 1 - 1) to the form a + z*j and give z.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1538.99 + -1539. Which is the closest to 2\/173? (a) r (b) -2\/17 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*p - 58*n - 4337*p**4 + 2*p**2 - 311 with respect to p.\nAnswer: -2*n - 17348*p**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 38*a + 574. What is k(12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 15*z + 244. Calculate the remainder when u(-11) is divided by 193.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:04 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 11*y**2 - 25*y - 13. Let t be x(6). Let l(a) = 667*a**2 - 1335*a**2 + t*a**2. Let c(k) = 6*k. What is c(l(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4869 + 10804. Suppose -5*p = -36325 + h. Suppose p = -4*i - 11922. Round i to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 5 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*((d\/d**(-1\/4))\/d)\/d)\/d)\/d)**(-5\/3)*(d*d**(-9))\/(d**(2\/3)*d) assuming d is positive.\nAnswer: d**(-101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 44 + -38 + 0 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*j, -3*c - 4 = -60045*j + 60046*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 2*j**5\/5 + 10*j**3\/3 - 18. What is the third derivative of m(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31baa (base 12) to base 11.\nAnswer: -45362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*g + 6268180*g**3 - 7*g**2 + 15*g - 6268179*g**3 to k*g + t*g**2 + p + r*g**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 290437093 - 0.1\nAnswer: 290437092.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*s**4 + s**3 + 1783761*s**2 - 9*s - 653488.\nAnswer: -120*s**2 + 6*s + 3567522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -37. Let g = -19.4 - j. What is the nearest to 2\/9 in -3, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, 2\/5, 15\/4, 5 in increasing order.\nAnswer: -0.4, 2\/5, 3, 15\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 1.62.\nAnswer: -0.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*j + 989 = -36*j - 1271 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -313\/9 - -35. What is the closest to 0.08 in -0.4, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102666 and 2911?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from eettyxtfttxftetftfe?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1776 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*z - 12792 = -9*o, 0 = z + 3. List the prime factors of o.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 1. Suppose -4*w + 5*w + 5 = 3*g, -19 = -9*g - w. Let m(t) = 7*t + 6. Determine g*m(y) + 10*a(y).\nAnswer: 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2 - (-1 - 0))*-1). Let a be (77\/28 + -1)\/(f\/4). What is the greatest common factor of 21 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 195 = -c, -6*j = -3*j + 5*c - 117. Suppose 2*h - j = 7. Suppose 0 = m - h - 1. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 9. Let f be t(-10). Let u be (-1)\/f*(3 - 1). Solve -2 - 4 = -u*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-262)\/(-10) - (-2)\/(-10). What is the greatest common factor of 52 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 - 25*c + 25. Let l(p) = -p**2 + 4*p - 4. Let g be (-17 + 2)*(-5)\/(-3). Let y(h) = g*l(h) - 4*x(h). Let q(i) = i. Calculate q(y(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 554 - 579. Let x = 87 - 82. Sort 1, x, h, 0 in increasing order.\nAnswer: h, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 + 451. Let k = 252.0322 - z. Round k to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -494, -533, -602, -707, -854?\n\"Answer: -x**3 - 9*x**2 - 5*x - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/9, 0.3, 0.1, 7\/6 in ascending order.\nAnswer: -8\/9, 0.1, 0.3, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -l + 4*x, 2 + 14 = 4*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(2*(-1)\/2). Let f(a) = -a**2 + 7*a + 2. Let l be f(7). Suppose d*w - l*w - 6 = 0. Solve 3*q + 5 = -4*k, -2*k + w*q = 5*q + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -216*u + 873*u - 1846*u + 14268 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1464, -1468, -1472, -1476, -1480, -1484?\n\"Answer: -4*x - 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(6))\/sqrt(3) + -5.\nAnswer: -8 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -319, -1262, -2843, -5068, -7943?\n\"Answer: -q**3 - 313*q**2 + 3*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 6.22.\nAnswer: 7.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y + 140. Let f be o(-22). Suppose -4*x + x - 1440 = 0. Let g = f + x. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:15 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from fffkggwfggl?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 20*n**2 - 22*n - 40. Let j be h(-19). Suppose -18*y = -j*y - 160. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346053.8 meters in centimeters?\nAnswer: 34605380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 745222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-12))\/(2\/4). Let n = 1.25 + -0.44. Let m = n + -0.31. What is the closest to -1 in a, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16711949 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - (sqrt(7344) - 2*sqrt(7344) - sqrt(7344) - sqrt(51)))\/sqrt(3)*2.\nAnswer: 52*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2. Let z(g) = -7*g**2. What is v(z(o))?\nAnswer: -294*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 204 = -5*t. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-5) + (-6)\/(-10). Suppose -c*q + q = 25400000. What is q rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3762*d - 314. Let j be y(-2). Which is smaller: -7839 or j?\nAnswer: -7839","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10778 is divided by 664?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59304.\nAnswer: 2, 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 64\/((-1)\/(12 - 28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13.8, -4\/7, -3, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596*c**2 + 1608*c**2 + 47 - 49.\nAnswer: 12*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0\/(-3))\/(-2). Let z be 2 + -1 + (p - -1). Suppose 0 = z*f - 7*f + 130. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - d + 4*d)*(-18*d - 36*d + 97*d) as u*d + o + j*d**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110fa36 (base 16) to base 9\nAnswer: 36586226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 5:19 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 16 = 0, -5*d - 923 = -5*m - 2*d. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483288 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -5*d**4\/12 - 16*d**2. Let y(u) = -2*u. Give y(c(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3984.234 to the nearest 10.\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 72. Calculate x(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-208))\/((-3)\/(-12)). Are a and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 l when three letters picked without replacement from plbtbktlbbwkww.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwowawa. What is prob of picking 1 w and 1 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-9)\/w)*(w\/(w\/w**(-1\/4)))\/w)**(-9\/2) assuming w is positive.\nAnswer: w**(-315\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.06. Let c = -5407 + 5405. What is the closest to c in -2\/15, -5\/4, o?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0 (c) -0.9 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 139*h + 1954. Determine s(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -14*c**2 - 18*c - 6. Let y(f) = 13*f**2 + 16*f + 5. Determine -6*u(s) - 7*y(s).\nAnswer: -7*s**2 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 68375099?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22 + ((-8 - -5) + -9 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3662.11 plus 0.1?\nAnswer: -3662.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/5)\/w)\/(w**(2\/7)*w))\/(w**1)**(-3\/19) assuming w is positive.\nAnswer: w**(-1947\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-8)*(-8)\/10. Let g(o) = -3*o**2 + 2*o + 2. Let l be g(d). Let u = 14 + -21. Is u smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 + -109. Suppose 29*z + o = 30*z. Solve -7*n - 2 = -z*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*x - 110, -221*x = -222*x - 3*t + 77. What is the remainder when 975 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 754*w. Let s(x) = 3*x**2. What is s(d(n))?\nAnswer: 1705548*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 3*z + 15 = 0, -z = -2*u + u - 2*z - 918 + 931 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -80*i - 408. Is 69 a factor of y(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -1037?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Suppose -j + 0 = -c. What is the third derivative of 0*s + 0*s - s**3 - j*s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 6. Let q = 343 + -343. Suppose -26*b + 78 + 26 = q. Give s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -701, -1399, -2097, -2795, -3493?\n\"Answer: -698*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -10, -8609, -1 in decreasing order.\nAnswer: 4, -1, -3, -10, -8609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3)\/x)**(2\/103)*x**(-1\/5)*x\/(x*x\/x**(-4\/5)*x) assuming x is positive.\nAnswer: x**(-315\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kii when three letters picked without replacement from iekeki?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 38*o\/5 - 68\/5.\nAnswer: -2*(o + 2)*(o + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 45*p + 1133. What is the thousands digit of k(69)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 9*t**2 - 4*t + 29. Let n be s(8). Suppose 45*h - n*h + 64 = 0. Solve 0 = -h*b + 8*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008634490949 to 6 dps.\nAnswer: 0.000863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4314 and 160?\nAnswer: -690240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1256, -1262, -1270, -1280?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*8\/(-360)*-9*17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.1 + -16.1. Let d = 5 - 21\/4. Which is the third smallest value? (a) d (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48fbf (base 16) to base 10.\nAnswer: 298943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let r(x) = -x**2 + 6*x + 2. Let n be r(6). Let t(q) = 39*q**n - 7*q + 7*q. Calculate h(t(k)).\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 74, 0, 2\/11 in decreasing order.\nAnswer: 74, 2\/11, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 38 + 8. Let d(s) = 2*s + 15. Let u be d(v). Suppose 0 = -5*o - y - 305 + 1422, 4*y + 661 = u*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -48*d**5 - 23332*d**4 + 117100*d**3 + 600664*d**2 - 157120*d = 0.\nAnswer: -491, -10\/3, 0, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 869514916*k*r**2 - 7*r**2 - 30196504*r wrt k.\nAnswer: 869514916*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiiiviiiti. Give prob of picking 3 v and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 220800 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 5812.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t - 1\/3*t**4 + 0*t**2 + 0 - 2\/3*t**3. Find the second derivative of j(g) wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 34527 = -4271. What is the lowest common multiple of 20 and z?\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11868 and 245616.\nAnswer: 5649168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h - 4. Let p be u(-3). Is p\/(-8) - 759\/(-12) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.4. What is the third smallest value in -0.2, s, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82800 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -1)\/(-3 + 1). What is the second smallest value in 4, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((1053\/45)\/(-13))*1.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 49. Let k be (30\/12 - 3)\/(1\/10). Let l be f(k). What is the tens digit of 4290\/36 + 4\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/6 and -27\/346703.\nAnswer: 2080218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-105) - (2 - 21\/15))\/((-2412)\/(-938)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Let q = -251.05354 + 248.053. Let h = m + q. Round h to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.6 and -1\/71 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*b - 25 = -604*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1139\/270 + 13\/27. What is the common denominator of o and 67\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 * -0.1\nAnswer: -0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -771612747 - 3?\nAnswer: -77161274a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 1465492*g + 1465488.\nAnswer: 4*(g - 366372)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 0, -1, -4, -9, -16?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351211*b**3 - 351188*b**3 - 351185*b**3 + 1053551*b**3.\nAnswer: -33*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-5)\/((-35)\/10976) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -237, 2, -4 in decreasing order.\nAnswer: 2, -4, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 240486*k**3 + 116403804*k**2 + 18831907080*k + 1016234234784.\nAnswer: 3*(k + 162)**3*(k + 79676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665959 is divided by 1369.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - 2*(sqrt(432) + (sqrt(432) + 5 - sqrt(432)))) + sqrt(432))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -467661.09 to the nearest 100.\nAnswer: -467700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7214058421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:35 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3))**(-2\/27)*(d**(1\/7))**4)**18 assuming d is positive.\nAnswer: d**(272\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211000020 - 22?\nAnswer: -1211000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1020\/84 + -12)\/(1\/(-6))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(2\/3)\/i*i)))**38 assuming i is positive.\nAnswer: i**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/30 - o**5\/30 - 7*o**2 + o. Let a(d) = 4*d**3 - 2*d**2. Let c be (-6 + 7)*(7 + -2). What is c*a(i) - 6*w(i)?\nAnswer: -4*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4500 + 4\/5*g**2 - 120*g = 0. Calculate g.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1350 - 32?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816*c - 803*c = 33631. Let g be 8\/(-12) + 46496\/(-18). Let p = g + c. Calculate the common denominator of p and 8\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39130 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4413, 16383, 35905, 62973, 97581, 139723?\nAnswer: 189393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 1380 = 16*a. Calculate the smallest common multiple of a and 161.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 30 = -2*s - 3*c, 0 = -4*s - 4*c - 36 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 551969216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q - 59 = -11*q + 126 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-754))\/((-90)\/(-120)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*z + 3 = -3*x, 5*x + 6 = 2*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*n - 9930 = 1072*n + 139*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/48*((-5571)\/3095)\/((-30)\/28).\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400.4415 milligrams to kilograms.\nAnswer: 0.0004004415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/4 + 312093*o**2 + 73612176*o.\nAnswer: 3*o*(o + 236)*(o + 415888)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 26*m + 4069. Let g(x) = 36*x + 6104. Calculate -5*g(j) + 7*h(j).\nAnswer: 2*j - 2037","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*i**2 + 9*i**2 - 13*i**2 + (-22 + 22 - 9*i)*(-2*i + 3*i - 3*i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2 + sqrt(7) - sqrt(1715)\/sqrt(5)) + ((sqrt(63) - sqrt(126)\/sqrt(2))*3)\/(1*sqrt(729)))**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + (8 - (31 + -6))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17664 by 96.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13914477\/308 - -45177. Find the common denominator of 41\/7 and r.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 49 + 0*u**2 + 2*u**2 + 10*u as b*u + j*u**2 + p and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-39)\/(-9) - 1)*3264\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 29*b**2 - 79*b - 20. Give a(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + ((sqrt(288) + sqrt(288)*-2 + -2)*4*-4)**2).\nAnswer: 24576*sqrt(2) + 149510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -178 + 43 - 33 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488187.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1037, -2154, -3357, -4652, -6045, -7542, -9149?\n\"Answer: -a**3 - 37*a**2 - 999*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r + r**3 - 2*r**2 - 2*r**3 + 4*r**2 - 3*r**2 - 1. Determine y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -151.8401 and 291563.\nAnswer: 291411.1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -212212 (base 3) in base 4?\nAnswer: -22010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04938 - 0.08938. Which is smaller: v or -1.68?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -15*n + 423, 4*w = n + 332 + 316 - 665 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 divided by 1?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**33*b)\/(b\/((b*b**(-16))\/b*b)*b))\/(b**(-1\/2)*b*b**(4\/23)) assuming b is positive.\nAnswer: b**(797\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9. Let k(o) = o + 17. Let i(s) = -5*c(s) - 3*k(s). Let d(b) = -b - 2. What is 17*d(n) - 6*i(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6260860501\/48 - 130447976. Let u = z + 13383. Find the common denominator of -67\/32 and u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {a: 4, r: 3, b: 6, g: 4, l: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -14.9. Suppose 8*q = 4*q - 4. Sort -4, q, z in increasing order.\nAnswer: -4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.01 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 4217?\nAnswer: 421a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orzr when four letters picked without replacement from {o: 3, r: 4, w: 5, z: 1}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -83*s - 214. Determine r(-4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*n = -8 + 641 + 111 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 831*z**4 + 101564*z**3 - 63317360*z**2 - 13904659200*z + 28061762000.\nAnswer: (z - 277)*(z - 2)*(z + 370)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*j - 0*y - 127, -5*j = -4*y - 182. Let s = j - 31. Suppose 3*g - 16 = -2*x, 0*g - 12 = -2*x - 2*g. Solve -s*w - x = 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -196, -172, -148, -124, -100?\n\"Answer: 24*t - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2408, -2401, -2394, -2387, -2380?\nAnswer: -2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1515, 1513, 1511, 1509, 1507?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856584 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/345*(-5)\/16?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a hour?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 19) + 8 + -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 20140357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -2*b + m + 111, 1 = b + m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18923.02815 + 5630.\nAnswer: -13293.02815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z = 24*z + 50. Calculate the common denominator of (-4)\/z + 1743\/770 and -55\/326.\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5138107*f**3*p**3*s - 2*f**3*p**2 + f**3*s + 163358*f**2*s + p*s wrt p?\nAnswer: 30828642*f**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.34, -0.3, 1, -5, -0.1?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*c**3*y**3 - 17*c**3 - 3*c**2*y + 2*c*y**3 wrt y?\nAnswer: 852*c**3*y + 12*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-3 - (-27 + -19 - -23)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*0.02.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (414\/(-690))\/((-84)\/(-5530))?\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57498414?\nAnswer: 2, 3, 9583069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 15*b - 35. Does 78\/25 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -13 (c) 2 (d) -4.01 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -52) + 14 + -27 - 17.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-9))\/((-5)\/30)*300\/125?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j**2 + 17*j**3 - 17*j**2 + 15*j**3.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and -2 + 5 - (4 - 287\/7).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -521, -779, -1039, -1301?\nAnswer: -1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5) + 12384\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/25632 and 23\/1112.\nAnswer: 3562848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.66 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4492.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*u - 2*c, -3*c + 5*c = 2*u + 10. Suppose 5*n + 4 = -2*l + n, l + 3*n + 5 = u. Solve -3*o - 3*d = 0, -o + 0*o + l*d = 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(80) - ((sqrt(80) + -1)**2 - sqrt(80))) + 5).\nAnswer: -80*sqrt(5) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*x = -7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 32875 + 33091 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t**3 + 3\/40*t**5 - 2 + 0*t**2 - 6*t + 1\/8*t**4. Let o(r) be the first derivative of s(r). Factor o(f).\nAnswer: 3*f**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9)*x*x**(7\/8) assuming x is positive.\nAnswer: x**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 + 12 - 36*v**2 - 23 - 3*v + 41 + 6 = 0. What is v?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 2569, 8690, 20613, 40270, 69593, 110514, 164965?\nAnswer: 234878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*a = -282*a + 49320 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 16 + 5 - 275*k - 3*k + 5 to d + p*k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1443 + -1442.6. Sort a, 11, -4\/7, -0.3.\nAnswer: -4\/7, -0.3, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -69, -200, -441, -828, -1397, -2184?\nAnswer: -3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*f + 16*f - 18*f)*(-1 + 1 + 2)*(2 - 1 + 1)*(0*f + 5*f - 4*f).\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 18. Suppose -2*w + 4 = 2*v + 2, -3 = c*w. Solve -v*l = 5*n, l - 2*n = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*y. Suppose y = -5*l + 56 - 41. Is l\/2*1\/(6\/1996) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 56 - 784. Let t = b - -308. What are the prime factors of t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13509 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 5\/287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let q be x(3). Let a be (-10)\/(-15)*((-15)\/(-6) - q). What is the third biggest value in 2\/11, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - (-21)\/9. Suppose 5*v - 35 = -5*f, 4*v = -m*f - 5 + 13. Is f 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 -11 + 22110?\nAnswer: 22033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*l - 39*l + 11*l - 6 in the form o + m*l and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3650 - -1?\nAnswer: -3647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 110*l - 1303 - 75 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1499 - 1291. Calculate the least common multiple of g and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1\/6 (c) -2\/3 (d) 0 (e) 0.1 (f) 3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqvk when four letters picked without replacement from {q: 3, k: 7, u: 7, v: 3}.\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**3 + 6*t**2 - 8*t + 3. Let o(r) = -r**3 + r**2 - r. Let q(v) = -m(v) + 5*o(v). List the prime factors of q(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/90 - a**5\/120 - 2*a**3\/3 - a**2. Let q(k) be the first derivative of d(k). Determine q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -940329063 and 0.2.\nAnswer: -940329062.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40108744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1025\/(-125) - 672741\/(-81855)\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 - 2*h - 30. Give q(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thtwcetchrttche. Give prob of sequence etr.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in -155.85, 5, 3, -28\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.1 + 17.1. Put -1\/3, q, -0.12 in decreasing order.\nAnswer: q, -0.12, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.78621 milligrams in nanograms?\nAnswer: 60786210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buub when four letters picked without replacement from {b: 10, u: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21213 (base 4) to base 5\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150150262?\nAnswer: 2, 229, 327839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 4, 0.\nAnswer: 0, 4, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = k - 0*y + 2, -4*k = -5*y + 8. Let c = 6 - k. Suppose c - 3 = o. Solve 0 = 3*p + o*j + 40, 4*j = -2*p + 2 - 32 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, i: 2}. What is prob of sequence dm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u = -21*u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 16*d - 350. Solve 0 = -5*g - 1 + d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(sqrt(684) + 1) + 3*((2*sqrt(684) - sqrt(684))**2 - sqrt(684))*6.\nAnswer: -126*sqrt(19) + 12309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31746\/7421 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90143.\nAnswer: 109, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - ((sqrt(88) + sqrt(88)*-1)*-6 + sqrt(88))) + sqrt(88))\/sqrt(8) + sqrt(132)\/((sqrt(72)*-1)\/sqrt(6)))**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4056 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10797 + 41*i**3 + 21593 - 10797 - 10*i**2.\nAnswer: 41*i**3 - 10*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0565105 rounded to 1 dp?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1257 + -1256.997. What is the second biggest value in -1\/7, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.91953 and -0.1.\nAnswer: 0.391953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16776 and 11184?\nAnswer: 33552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*i - 3*n, 6*i = i + n + 10. Suppose -13*k = -12*k. Suppose k = -i*w + 2 + 28. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -58*v**3 + 583*v**2 - 20*v + 40. What is m(10)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 661, 2091, 4473, 7807, 12093, 17331, 23521?\nAnswer: 30663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -838, -911, -1070, -1345, -1766, -2363, -3166?\nAnswer: -4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1520706 by -4.\nAnswer: -760353\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 17*y - 116. Determine c(23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1744*b**2 - 875*b**2 + b**3 - 869*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 572918 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 21. Let h = 73 - 65. Let c be n(h). Suppose 5*x = -3*m + 4, 5*x + c = m + 5. Sort 6, 0, -1, m in ascending order.\nAnswer: -1, 0, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*x - 166, -2*x + 93 = 2*z + x. Let g = 68 - z. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3136629460 to the power of 1\/2, to the nearest integer?\nAnswer: 56006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.544 - -0.624. Let a = 211.5 + -211. What is the closest to a in 2, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 5*n + n)*(1 + 0 - 3)*(n + 4 - 4) to s*n + m + c*n**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 405651, 405637, 405613, 405579, 405535, 405481?\n\"Answer: -5*x**2 + x + 405655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from upyuypuupyyyu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2765 + -2761. Solve 3 = 3*n + 6*c - 4*c, t*n - c = -7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 3740.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -8c?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Suppose -r*a = 4*q - 3, -12 = 3*a - 2*q + 3. Is 0 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110*z - 1907 + 1907)*(-6*z + 1 - 8*z + 15*z)*(6*z + 2*z - 2*z) as a*z**3 + p + d*z + u*z**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdvvd. Give prob of sequence bdd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 88 = 2*m, 6*j = 7*j - 5*m + 4. Suppose -6*p + 7*p = -5*p. Solve p = 31*s - 27*s - j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -20*t**3 - 499*t**2 + 29*t + 131. What is u(-25)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 136967849 to the nearest one hundred thousand.\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 16*s - 1. Let r(m) = 33*m - 1. Let u(j) = -2*r(j) + 5*w(j). Let z be 20\/(-80) - 26\/(-8). Let p(x) = 18 - 19 - z*x + 8*x. What is 17*p(c) - 6*u(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.24. Let p = t - -0.14. Is p at least as big as 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3567036*z + 3567036*z - z**2. Let q(o) = -1034*o. Calculate q(y(m)).\nAnswer: 1034*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 10 = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2, -2\/3, 0.1, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103672 by 4.\nAnswer: 25918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16428 (base 16) to base 5.\nAnswer: -10404201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = -2*b, r - 6 = 4*b. Suppose 3*m - 22 = r. What is the least common multiple of 2 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from momnhkhik. Give prob of sequence nkh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15247\/42 - 363. Let a(u) = -19*u - 75. Let i be a(-4). Which is greater: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(405) - sqrt(45))\/sqrt(9) + sqrt(4860)\/sqrt(12) - (3*(sqrt(140)*-4 - sqrt(140)) + sqrt(140))\/sqrt(7)).\nAnswer: 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -113, -160, -221, -296, -385?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4634 + -4634.2. Let j = 6 - 5.7. Let t = 0 - 0. Which is the third biggest value? (a) t (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023288 to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 586*l**3*w**4 + 2*l**3*w - 9*l**2*w**5 - l**2*w - 12*l**2 + 3*l wrt w.\nAnswer: 7032*l**3*w**2 - 180*l**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -499 - -109. Is x > -392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21956, -22061, -22170, -22283, -22400?\nAnswer: -22521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -a386 (base 11) in base 14?\nAnswer: -5035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28691700 is divided by 8705.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 22216 - 2462. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.3632272 to 3 decimal places.\nAnswer: -18.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 12:16 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33217 and 59678.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 - g + 9. Let u be a(6). Let l be (u\/4)\/((-2)\/(-16)). Suppose -b - 2*b + l = 0. Calculate the least common multiple of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -85.3 (b) -418\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e03c8 - 7?\nAnswer: -5e03d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2218135 and -2218406 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + 3. Give l(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 206562.9mg?\nAnswer: 206562900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4427958*l**4 + l**3*z**3 + 500365*l**2*z**3 - 33*l*z**3 wrt l.\nAnswer: 106270992*l + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 872, -3, -25\/149, 2 in increasing order.\nAnswer: -3, -1\/3, -25\/149, 2, 872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 67867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*l - 4. Let n(r) = 4*r**2 + 0*r**l - r**2. Let j(h) = -2*h**2. What is n(j(a))?\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmmxmgxmgm. Give prob of sequence mgx.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:49 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 0*a**2 + 208*a**3 + 409*a**3 - 113*a**3.\nAnswer: 504*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 20*w + w - w**2 in the form n + q*w**2 + l*w and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 + 0*a**2 - 2*a**2)*(-488*a**3 - 2267*a**3 + 210*a**3).\nAnswer: -5090*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/2 + 3*m**4\/2 - 2*m**2.\nAnswer: m**2*(m - 1)*(m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 + 2*t**3 - 2*t**3 + 4899 + 4895 + 7*t - 9777 + 3*t**3 + t**3 + t**2 - t**2 + (-t**2 - t**3 + t**2)*(1 - 2 + 0).\nAnswer: 10*t**3 + 7*t + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -8*z - 3*w + 1299, -5*z = -5*w - 2125. What is the highest common divisor of 39 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26646 or 26641?\nAnswer: 26641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 5. Let m be q(-13). Let v = m + 12. Suppose -v*c + 159 = 5*r - 108, 0 = 4*c - 3*r - 307. What is the remainder when c is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011742351913 rounded to seven dps?\nAnswer: 0.0001174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 - 39*t**2 + 177*t - 1286. Determine h(7).\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 2*j - 71 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2299*l**2 + 314*l - 633*l - 1956*l**2 + 319*l.\nAnswer: -4255*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/7, 25, -0.021?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/96 and -143\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81625 is divided by 4081.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 3809200?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w + 175*w**3 - 170*w**3 - 6*w - 281 wrt w.\nAnswer: 15*w**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3070413?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/12 + 13*w**4\/24 + 5*w**3 - 5040*w**2 + 2. Give k(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 12) in base 7?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 28226479*r**2 - 1 + 28226476*r**2 + 11*r.\nAnswer: -3*r**2 + 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izzjiczzzp. What is prob of picking 1 i, 1 z, 1 c, and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-21)\/(-15))\/(1\/(-5)). Let y = 1 - -4. Solve 4*j - b = 4*m + 1, -y*j + 2 = -4*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/54 and 1870\/(-132)*(-3)\/(-90).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*a + 4*a - 10 = 0, -28*a + 16*a = 84*x - 480 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1520 + 1952. Is z a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75696*l**4 - 2*l**2*q - l*q - 77*l + 4*q wrt l?\nAnswer: 908352*l**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*(-13 - -1). Let l = 11 + j. Let s = -119\/10 + 23\/2. What is the nearest to s in 0.4, l, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b\/(b\/(b*b\/(b**(-1\/17)\/b)))*b*b)*b)\/(b*b**(7\/5))*(b\/((((b*b**(1\/3))\/b)\/b)\/b*b)*b)\/b**(2\/11) assuming b is positive.\nAnswer: b**(-13952\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1208, -2414, -3618, -4820, -6020, -7218, -8414?\n\"Answer: p**2 - 1209*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -423*a + 420*a + 4*f, a = 5*f + 6. Is -4\/279 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 53, 101, 187, 323, 521?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - q - 26*q + 5*q - 17 + 9*q + 4*q.\nAnswer: -3*q - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(70) - (3*sqrt(70)*5 - sqrt(70))) + -1*sqrt(70)*-1)\/(sqrt(10) + -5*(sqrt(10) - -1*sqrt(10)) + sqrt(80)\/sqrt(128)).\nAnswer: -1 + 48*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 6. Calculate u(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/6642154 and -35\/32.\nAnswer: 106274464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -52.33. Let n = v - -0.03. Let k = -0.4 - n. Which is the second biggest value? (a) k (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + (131 - 130)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1324 and -290.\nAnswer: -290.1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 36 (b) 22 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**2 + 5*k + 5. Determine b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 12. Let u = l + -1. Let w = -4.2 - -3.2. Which is the second biggest value? (a) 0 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96978*h + 194828*h - 97913*h.\nAnswer: -63*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/(-20))\/((-1233)\/408 + 3). Let n = z - -111. Suppose -h + 18 = 4*h - 4*i, 3*h = 3*i + n. Let p(v) = v**2 - 6*v + 4. Give p(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 - -36 - -22 - -2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = -10. Suppose 0 = -3*k - d*h + 52, 2*h = 2*k + 4*h - 32. Let a(z) = 0*z - k*z**2 + 0*z + 10*z**2. Let m(f) = -3*f. Calculate m(a(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91054, 364513, 820288, 1458385, 2278810, 3281569, 4466668?\nAnswer: 5834113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 58*o + 2546. Let b be d(14). What is the highest common factor of 138 and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 3, 1\/5, -0.1, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 766993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -21*g + 10*g. Let r be 4\/g + (-1208)\/(-6). Let t = r + -51. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -123 - 9*s + 102 + 180. Let b be w(17). Let p(r) = -9*r**2 - 2*r + 8. Let k(n) = -10*n**2 - 3*n + n + 9 + 0*n. Calculate b*k(c) - 7*p(c).\nAnswer: 3*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 7*l**2 + 9*l + 4. Let w be p(9). Let k = w - -115. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*m**2 - 33*m**2 - 6*m**2.\nAnswer: -73*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324 divided by 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15372910+-2\nAnswer: 15372908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 27*u + 5. Let w be o(8). What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 3)*(-4 - 2*o + 4) + (0 - 4 + 2)*(3*o + 19 - 19).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from hnvwnvdh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -349\/22 + 147\/11. Which is the nearest to 0? (a) 3 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 71, -296, 0 in ascending order.\nAnswer: -296, -3, 0, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27902 - -389.\nAnswer: 28291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20700 + t - 11718*t**3 + 20700.\nAnswer: -11718*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u**3 - u**2 + 4*u - 4. Suppose -4*t = 7*t - 209. Calculate the remainder when t is divided by z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 divided by -5?\nAnswer: -159\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/159, -0.05, -77, 6 in increasing order.\nAnswer: -77, -0.05, -4\/159, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:19 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -841, -3365, -7573, -13465, -21041?\n\"Answer: -842*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -236462600 rounded to the nearest one hundred thousand?\nAnswer: -236500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. What is the remainder when o is divided by 7*1*(6 + (-123)\/21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3035 - 52?\nAnswer: 2ed3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(2\/1))\/(280\/80).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-12)\/9) - 3. Suppose 10 = 2*c - m*c. Solve -2*h = -h - c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -314*b - 1169*b + 71*b as n*b + l and give n.\nAnswer: -1412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -1\/60*z**5 - 11*z**2 - 19\/6*z**3 + 0*z**6 + 0*z + 17\/70*z**7 + 0*z**4 + 0. What is the third derivative of t(l) wrt l?\nAnswer: 1224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -3*j**5\/20 - 19*j**4\/12 - 10*j. Find the third derivative of r(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3180\/13 + -245. Is -1 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*t + 2532 = -100*t - 246*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 2*i**2 + 2. Let k = -87 - -90. Let x be h(k). Let l(r) = 2*r**2 - 4*r - 9. Let b be l(x). What is the highest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2) - (-2 - -1). Let p be (-1)\/(2\/6) - (-42)\/15. Suppose -2*k = 3*k. What is the closest to p in k, m, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104213\/12 - -8679. Calculate the common denominator of j and -33\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/2 + 337*s**4\/2 + 10867*s**3\/2 + 9187*s**2\/2 - 21742*s - 21070 = 0. What is s?\nAnswer: -301, -35, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1805*i + 14*i**2 - 9*i**2 + 7137*i - 1872*i + 2499245.\nAnswer: 5*(i + 707)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 2. Let m(z) = z**3 + 7*z**2 + 6*z - 2. Let q be m(-6). Let k be h(q). Let f be 0 - -1 - k\/4. Sort -2, 4, f.\nAnswer: -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:57 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 25*a + 23. Give h(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.988 + -19.888. Let j = 121 - 1571\/13. Let o be (-3)\/14*(-4)\/(-3). Which is the nearest to r? (a) o (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 357 = -47. Let q = p + -54. Suppose -4*k - o + q = 0, 2*k - 20 - 14 = -4*o. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -6. Suppose 0 = j - z*f + 6 + 3, -4*j + 59 = -f. Let a = j + -14. Solve 3*r + 8 = n - 2*n, a*r - 23 = 5*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 - 4*f - 6. Let s be k(-3). Let g = 18 + s. What is the units digit of (2 - g\/(-3)) + 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12916, 25947, 39030, 52165, 65352?\n\"Answer: 26*j**2 + 12953*j - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*r**3 - 33*r**3 + 131*r**3 + 51*r wrt r?\nAnswer: 420*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {y: 1, p: 1, l: 4, m: 2, n: 2, e: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16259067?\nAnswer: 3, 11, 164233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 7 = -11*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:41 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:21 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 5\/6*m**3 + 195*m - 3*m**2 + 0. Determine b(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 + r - 1. Let g be v(1). Let a = -3 + g. Solve 0 = 3*j + 4 + a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.1, -81.54, -4\/7?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -18*g - 85. What is p(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9076 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215 or 381159\/1780?\nAnswer: 381159\/1780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from hhkhskkhxhfxkkhhfckh?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:28 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1\/(x**(-1\/4)*x*x)*x**(2\/11)*(x*x\/((x*x**(-4))\/x))\/x*(x**1)**(2\/51)*(x*x**(-2\/9)*x)\/(x*x**(-5\/4)) assuming x is positive.\nAnswer: x**(21875\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-22 - 5 - -60) + (-1 - -8 - 0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1953 and 79\/126?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {j: 6, z: 3, t: 6}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1080260 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14*p - 4. Let k(b) = b. Give z(k(o)).\nAnswer: 14*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 4:27 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83.2 + 83.3. Let r = 0.3 + -0.1. Which is the third biggest value? (a) r (b) -3 (c) -15 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/445 at least 28\/4135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -263, -256, -245, -230, -211?\n\"Answer: 2*b**2 + b - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**4\/2 + 669327*c**3\/2 - 6023733*c**2\/2 + 7362237*c\/2 + 7027650 = 0.\nAnswer: -1, 3, 7, 223100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 62 = -4*x + 11*u, u - 65 = 4*x. Sort 0.2, 6, x, -0.1.\nAnswer: x, -0.1, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 143*g - 1979. Let k be n(13). What is the highest common divisor of 9457 and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(125\/10))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-205)\/(-164))\/((-2)\/8). Let b(i) = i**2 + 3*i + 2. What is b(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 66. Let v be s(0). Let k = v + -11. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v + 206*v - 21 = -379 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -7 (b) 1 (c) 3 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (30702\/(-4) + 1)*(2 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + (sqrt(171) - (-6*2*sqrt(171) - sqrt(171)))))\/(-3*sqrt(225)).\nAnswer: 14*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 7, p: 2}. Give prob of picking 2 n, 1 a, and 1 p.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 9\/2)*0. Suppose -2*j + 5*y = -50, z = 2*j + y - 0*y - 50. Suppose i - m - 5 - 5 = 0, -5*m - j = 0. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -6, -14, -24?\n\"Answer: -a**2 - 3*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = 2*j - 3*j, 2*j + 2*l = 4. Suppose -12*m + 69 = -99. Suppose -m*r = 6*r - 60. Sort 5, r, j.\nAnswer: j, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*a - 233*a + 102*a + 71*a.\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l*p**4 - 5*l*p + 2*l - 46*p**6 + 3*p**2 wrt p.\nAnswer: -72*l*p - 5520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, -8, 2 in ascending order.\nAnswer: -20, -8, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/9 - 4*o**2\/3 + 110*o\/9 = 0. What is o?\nAnswer: -11, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*o*o**(-5)*o**(2\/7)\/o**7)**47 assuming o is positive.\nAnswer: o**(-1551\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - h + 2. Let v be p(-2). Suppose v = -2*a + 3*a - 2, 0 = s - 5*a + 8. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422332663 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344 + 2741 + 3183 = 229*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let p(b) = -b**2 + 6*b. Let d(o) = o**3 + 5*o**2 - 2*o - 4. Let m be d(-5). Let j(s) = m*a(s) - p(s). Let f(t) = -t. Calculate j(f(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 4. Let r(t) = -18 - 8 + 2*t + 2. Let f be r(11). Let n = 4 - f. What is v(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -5, 6, 31, 76?\n\"Answer: p**3 - 2*p**2 + 2*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*7 + (1 - 2). Let r be 15060\/d*4\/(-6). Suppose 6*n - n = r. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**4 + 7565*u**3 - 13062*u**2 wrt u?\nAnswer: 24*u + 45390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**4\/4 + r - 5. Let q be u(2). Solve q = n + 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y**4 + 6*y**3 - 4*y + 4. Let h be (4\/(-6))\/((-1)\/6). Let q(a) = -17*a**4 - 11*a**3 + 7*a - 7. Let f(v) = h*q(v) + 7*x(v). Solve f(g) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/3? (a) 0.2 (b) 19 (c) 3 (d) -19 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, 252, 1772, 5096, 10824, 19556, 31892, 48432?\nAnswer: 69776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42 + 23 - 31 - 41*g**4 wrt g.\nAnswer: -164*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65340123?\nAnswer: 3, 1301, 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g + 20 = 0. Solve 2*m = -0*m - g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*l**3 + 22783*b**3*l**2 + 2*b**3 - b**2*l**3 + 352*b**2*l**2 + 77*l**3 wrt b?\nAnswer: -18*l**3 + 136698*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 0. Let a = 0.13 - 3.13. Let x be (-3)\/((-23)\/4 + 2). What is the biggest value in a, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o + 7. Let n(m) = m**3 + 7*m**2 - 19*m - 11. Let v be n(-9). Let k be r(v). Is k less than or equal to 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-35)*(-50)\/(-45))\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441043, -441052, -441061, -441070, -441079, -441088?\nAnswer: -441097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7572?\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -643230.\nAnswer: -1\/30630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/8 + 1418458*h - 4024046195528 = 0.\nAnswer: 5673832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*(-227)\/(-681)*1*-11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.92 - 47.08. Let a = f + 46.58. What is a rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-7332\nAnswer: 7332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) - (sqrt(336)*-2 + sqrt(336) + sqrt(336)))\/sqrt(8))\/(2*sqrt(6)*2 - sqrt(6)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68794.\nAnswer: 2, 11, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.5, -2, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**2 - 5770132*b - 141264890 wrt b?\nAnswer: -8*b - 5770132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333608, 333632, 333702, 333836, 334052, 334368, 334802, 335372?\nAnswer: 336096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w. Let b(x) = 10*x. Let v(n) = -2*b(n) + 7*p(n). Let m(a) = a - 2. Let c(y) = -35*y**2 + 7*y - 14. Let s(o) = 2*c(o) - 14*m(o). Determine v(s(k)).\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457 (base 8) in base 16?\nAnswer: b2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*a + 63 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6b09b9 - 4?\nAnswer: -6b0a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = o + 2*h + 2, -4*h + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2314214 and 7603846?\nAnswer: 53226922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k - 1. Let q(i) = -i. Give -a(m) + 5*q(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24972252 divided by -16626.\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*139\/((-614380)\/104)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*20\/24)\/(1771\/(-322))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 864 + 14?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149289861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 599258*w - 4794057. What is b(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-14))\/((-8)\/256*4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2. Let k(h) = -h + 10*h - 7*h - 3*h. Give k(s(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 537220597*j**3 - 38621716*j + 2 wrt j?\nAnswer: 3223323582*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18070667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 39. Solve a*n + 8 = -3*c, -4*c = -0*n - 3*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfmgrg. What is prob of sequence rfr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 3. Let d be f(-5). Suppose 2 = 3*w - d. Suppose 0 = 3*r + 9, w*x - 3*x = 2*r + 16. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 6*r**2 - 6*r - 11. Let v be c(-5). Let w be v*3 + (-3 - 1). Let x = -19 - w. Calculate the highest common divisor of 18 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 3 = p. Let c(d) = -d + 2. Let a be c(p). What is the units digit of -1*(1 - a\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*t - 138*t + 6 = 0, -2*b = -3*t + 430. Let n(y) = 395*y**3 - 1. Let c be n(1). Let m = c + b. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-265)\/(-20) - 14\/56) + -8. Let v(b) be the first derivative of p*b**3 + 0*b + 1 + 5*b**4 - 5\/2*b**2. Suppose v(g) = 0. Calculate g.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -724.8 - -725. Which is the nearest to -4? (a) 0.4 (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8489 divided by -10?\nAnswer: 8489\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -902 by -2.\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70992*b**3*y**2 + 29*b**2*y**2 - 18*b*y - y**2 wrt b?\nAnswer: 425952*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12670 divided by 27885\nAnswer: -2534\/5577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u = 75. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 462078 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 49 = -71. Which is smaller: h or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Suppose -2*s = 4*l + 8, -3*l = -4*l - 3. Find the third derivative of 2*p**m + s*p**2 - 2 + 0*p**5 + 2 wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 - 14\/(-49). Suppose -3*s + 9 + 3 = v. Is ((-10)\/s)\/(5\/(-10)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239608 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2253453, 2253455, 2253457, 2253459, 2253461?\n\"Answer: 2*h + 2253451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**7\/42 - 17*q**6\/24 - 185*q**5\/12 + 695*q**4\/8 - 180*q**3 + 2397*q**2 - 2*q + 2. Suppose h(m) = 0. Calculate m.\nAnswer: -9, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 12*l + 160.\nAnswer: -4*(l - 5)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 314, 710, 1264, 1976?\nAnswer: 2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, 28, 0, -36, -80?\n\"Answer: -4*u**2 - 8*u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42508039 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 + 3*i + 4. Let u(m) = -m**2 + m + 1. Give -r(a) + 5*u(a).\nAnswer: a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128224753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and 1839208.\nAnswer: 331057.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:22 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 13564.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(13586 + 29*b - 13586).\nAnswer: -58*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -731370085 + 731370482.999659. Let i = 398 - t. Round i to 5 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 8:13 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*m = -6, 0 = 5*j + m - 3*m + 30. Suppose -2*w + 272 = -0*f + 5*f, -2*f = 8. What is the smallest common multiple of (j\/(-7))\/(12\/56) and w?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 12. Suppose -5*v = -p*j + 25, -4*j + 2*j + 4*v = -12. Which is the third smallest value? (a) j (b) -1\/4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3300\/(-990))\/(4\/(-6)). Solve -9*b = -10*b + 10*t + 24, -f*b = 3*t - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 110 = -7*f. Calculate the highest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**3 + 0*u**3 - 2*u**3)*(399 + 138 + 97) to the form g*u**2 + c + f*u**3 + q*u and give f.\nAnswer: 1902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 less than or equal to 1219\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 3.6. Let a = p + -2.7. What is the nearest to 1\/3 in a, 0.4, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 42*w - 584. Calculate v(11).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*k - 0*k + 6, -3*s = -4*k + 5. Let v(c) = c + 3. Let a be v(-2). Suppose -3*d - 6 = w, 0 = 3*w - d - 1 - a. Solve -3*t + 14 - k = w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1940 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 2 - 2 - -6)*106\/795. Suppose 0*u = -3*u. Sort u, g, 3.\nAnswer: u, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(5))**2*-2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u - 28*u = 19*u + 3, -4*w - 25 = -9*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-188)\/(-47) + (2837 - 1)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2701*l**3 - 2*l**2 + 11*l - 10. Is 108 a factor of q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 18*z - 29. Let f be r(16). Solve -f*t - 4*c - 1 = 14, -5*t = -4*c + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/20 + 5*t**4\/6 - 5*t**3\/3 + 15*t**2\/2 + 22*t. Determine d(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -519 - -536. Let f be (-4 + 0)*1*i\/(-34). Which is the closest to f? (a) -2 (b) -1\/2 (c) 4\/5 (d) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*1\/(-8)*12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -17. Suppose v - c = -1. Let t(h) = -h**3 - h**2 + 2*h - 1. Let m(i) = -i**3 - 8*i**2 + 2*i - 2. Let d(z) = m(z) - 2*t(z). Determine d(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1589100 rounded to the nearest 10000?\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -113. Let n = -21 - x. Suppose -2*a - 2*d = d - n, a + 2*d - 11 = 0. Solve 14 = -3*j + a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41942 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 + 1207972*k**2 + 21743860*k - 48319600 = 0. Calculate k.\nAnswer: -20, 2, 1207990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, f: 8, u: 3}. What is prob of picking 1 c and 2 u?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 12:51 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17309949 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 6, c: 2, o: 2, g: 3, e: 1}. What is prob of picking 1 e, 1 u, and 1 g?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.133 - 0.183. What is the fourth biggest value in q, 1\/3, 3\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 86.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhddhhddh. What is prob of picking 3 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j - t, -j + 5 - 11 = -3*t. Let f(v) = j*v + 1 - v + 1. Suppose 0 = -y + 5*y + 16. Calculate f(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -1 (c) -496 (d) 1\/33 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 31. Let l(g) = -g**2 + 3*g + 2. Let a(o) = -o**2 - o - 1. Determine m*l(r) + 3*a(r).\nAnswer: -4*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from bbbuukukubb?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 2*a)*(-1 + a + 1) + a**2 + 3 - 3 + 50*a**2 + 40*a**2 + 172*a**2.\nAnswer: 264*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.36436*-42.\nAnswer: -99.30312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 10:17 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/20 - v**4\/4 + v**3\/2 + v**2\/2 - 2*v. Let m be k(-4). Let -4*p**2 + 2*p - p**3 + 0*p + m*p**2 = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -3*i**7\/280 - i**5\/24 - i**3\/6 - i**2. Let n(m) be the first derivative of a(m). Let x be n(5). Round x to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 1240*c\/7 + 192200\/7.\nAnswer: 2*(c + 310)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/((-377)\/(-26)))\/((39*(-42)\/18)\/(-1)).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 474205373599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6*k - 10. Suppose k*w + i = 2*w + 7, 0 = w + 5*i + 21. Solve w = -0*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*y**3 - 5*y + y + 246*y**3 + 4*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161269 is divided by 31901.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 127*y**5\/60 + y**2 + 34*y. Let i(g) = 2*g. Calculate i(c(h)).\nAnswer: 254*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 2:23 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*n - 10, -n = 4*h + 27 + 9. Let f(l) = -l**2 - 10*l + 7. Calculate f(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3824791, -3824784, -3824773, -3824758, -3824739, -3824716?\nAnswer: -3824689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 990469 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -21. Suppose -2*z + 0*z = -m*d + 21, -2*z = 2*d. Solve -15 = -2*g + u, 0 = -d*g - 2*g - 5*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-81)\/(-36))\/9)\/((-15)\/(-24)*(-28)\/10)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -4 (c) 1\/5 (d) -0.66 (e) -17 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(34)\/((sqrt(32) - sqrt(2)) + sqrt(2))) + 5.\nAnswer: 3*sqrt(17)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1053) + 0) + -4 + -2*(2 + -1 + sqrt(1053)))**2.\nAnswer: -108*sqrt(13) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohohhooo. Give prob of picking 2 h.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46620.88t in grams?\nAnswer: 46620880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**3 - s**2 - 2*s. Let g(n) = 6*n**3 - 2*n**2 - 3*n. Determine 2*g(z) - 3*k(z).\nAnswer: -9*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:10 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 3 + 1 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/663 and -103\/4276350?\nAnswer: 4276350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 3 - (2 + 2 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(1 + 92\/(-84))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 90972.8 millimeters?\nAnswer: 0.0909728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**7*m**7\/m)**23)**(-16) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*c - 2 + 9, -5 = 2*z - c. What is the common denominator of (-15)\/(2 - z) + 137\/14 and 69\/5*2\/4?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1265 and 36432?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/35 (b) 0.5 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2c340 (base 13) to base 12\nAnswer: -40779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 + (-49)\/(-63) + 2. Suppose 4*t - 13 = -r*w, 5*w = -2*t + t - 1. Suppose 0 = 4*j + t*v - 520, 2*j + 4*v = -3*j + 647. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzu when three letters picked without replacement from {x: 6, y: 1, p: 3, u: 3, z: 5}.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1398, 1397, 1396, 1395, 1394, 1393?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92674917 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 4, j: 4}. What is prob of sequence edje?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 1. Let f = -20 - -40. Suppose -n*c + f = -3*c. Calculate the remainder when 28 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(3\/(-15) - 0). Suppose 9 = -5*z - 16, 0 = a*u - 3*z - 40. Let g = 21 + -17. Solve -g*n + u = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91004, 181829, 272666, 363521, 454400, 545309, 636254?\n\"Answer: v**3 + 90818*v + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2454 and 7.\nAnswer: 17178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19265.88 litres?\nAnswer: 19265880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-4*-4)\/(sqrt(60)\/(sqrt(12) + sqrt(588)) + sqrt(5)).\nAnswer: 128*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 55*o**2 - 20*o - 442. What is the hundreds digit of l(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92c524 (base 13) in base 9?\nAnswer: 6401524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73806150.\nAnswer: 2, 3, 5, 11, 41, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2*n**3 + 2*k**2*n*z**2 + 5*k*n**2*z**3 + 24*k*n*z**3 + 64*n**3*z**3 wrt n.\nAnswer: -6*k**2 + 384*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:40 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 686 divided by 343\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1690 is divided by 213?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521470 + 521470 + 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126, -110, -82, -42?\n\"Answer: 6*d**2 - 2*d - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1414 + -1404. Solve 20*h = -y - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7 = -u, 0 = -u + 3. Let g = -91 - -176. What is the third derivative of -9*q**5 - 85 + g + q**j + 3*q**2 wrt q?\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211197575 is divided by 9335?\nAnswer: 9330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**2 - 2*y**2 + 0*y**2)*(3 + y**2 - 3) + 0*y - y - 12*y**2 - 5*y**4 + 11*y**2 to the form u*y + q*y**2 + l*y**3 + i + k*y**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8875864 and -1.\nAnswer: -8875864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c**3 - 500*c**2 + 70*c**3 + 193050 - 193050 + 500*c**2.\nAnswer: 88*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-2\/7)))**(-32))**16 assuming x is positive.\nAnswer: x**(-1024\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5162.11 + 5162. What is the fifth biggest value in 1\/6, 0, 4, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 - 5.71. Which is the smallest value? (a) s (b) 0.05 (c) -0.5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 186590 (c) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16730 divided by 2390.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138280.456 rounded to the nearest one hundred?\nAnswer: 2138300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*y - 588, -4*i + 8*i = -5*y + 588. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10515 is divided by 159.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*q**2*z - 417*q**2 - q - 7*z - 34 wrt q?\nAnswer: -16*z - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 7*t + 34. Let k be z(-10). Let p be 3\/k + 594\/(-504). Sort p, 1, 3 in descending order.\nAnswer: 3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.1, -3, -5\/13, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2907902 + 2.\nAnswer: 2907904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -6. Let y(u) = 2*u**3 - 7*u**2 + 2. Let w(l) = l**5 - l**3 - l**2 - 1. Let n(q) = a*w(q) - y(q). Find the third derivative of n(z) wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 225543?\nAnswer: 225543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -36. Solve u = 5*n - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 17301.\nAnswer: -4\/17301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 k when three letters picked without replacement from okoko?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(75*c + 74*c - 146*c + 3) in the form t*c + b and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5421 + -5?\nAnswer: 5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36524.5 - 36525. Sort -3, -193, f, 4, -2\/21.\nAnswer: -193, -3, f, -2\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + -0.2. Let o be (5 - 0)\/(-5) + 5. What is the closest to y in o, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -7 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 11 - 1 - 46*m - 4 + 1 to s*m + t and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -47*o**4\/4 - 341*o - 76. What is the derivative of q(z) wrt z?\nAnswer: -141*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m - 5286 = -395*m + 5664 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -2*u**3\/3 + 25*u**2\/2 - 2*u + 1260. Let j(r) = -r**3 - r**2 + r - 1. Calculate -d(c) + 2*j(c).\nAnswer: -2*c**3 - 23*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4558, 4560, 4560, 4558, 4554, 4548, 4540?\nAnswer: 4530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5364 <= -152\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 383874.4ng?\nAnswer: 0.0000000003838744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y - 10. Let o be 0\/(-4 + 0 + y). Let v(w) = w**3 + w**2 + w. Let l be v(o). Solve 1 + 12 = 5*m + 4*n, -2*m - 5*n + 12 = l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -27b1b5d?\nAnswer: 27b1b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 7, -3.\nAnswer: -3, 1, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 363432.17 - 362938.16719. Let g = -494 + b. Round g to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 - -122.76. Round z to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 4*p - 52, -6*i - 4*p - 421 - 352 + 693 = 0 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2421 in 0.437, -1\/2, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1 + 3 + 0*q. Let j be w(6). Find the second derivative of -13*y**5 + j*y**5 + y + 4*y**5 wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12406680.4 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8126*x**2 + 1236*x - 40698059?\nAnswer: -16252*x + 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiifhllhlllhk. Give prob of picking 1 h, 1 i, and 1 l.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f935 + -7?\nAnswer: f92e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 8:18 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11 + 0 - 4*i - 17*i + 10 wrt i?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d**(10\/9))\/(d**4*d\/d**(-13)) assuming d is positive.\nAnswer: d**(-116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40.1 in 3\/4, -2, -36?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120\/45 - 4)*-3. Solve -m*n + 152 = -42*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013024 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -89, 0.44, 1\/3, 1, -2.4, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241316614 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = 5*z + 3*t, -2*z + 2 = t. Suppose -2*o + 5 = 3*o. What is the nearest to z in o, 2\/7, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -203*j - 35728. Give z(-176).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 + -101. Suppose -17*i + b*i = 4*h + 4498, 4498 = 2*i - 2*h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xssx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 122, -4, 3 in descending order.\nAnswer: 122, 37, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8 + 4. Suppose -3*r - 4*h = -20, m*r - r - 4*h - 12 = 0. Let y be (-2)\/r + 126\/4. Solve 4*n - 11 = -y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.3. Let s be (-351)\/81 + -1*2*-2. Which is the nearest to s? (a) 3\/4 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + r + r + 36 = 0, 2*h - 26 = 2*r. What is the remainder when 19 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/(s\/s**(-3))))*s*s\/(s\/s**5*s)*s*s**5*s*s**(1\/3) assuming s is positive.\nAnswer: s**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -241042?\nAnswer: -241041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:24 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621*l**5 - 1422*l**4 + 6*l**3 + 624*l**2 + 165*l + 6 = 0. Calculate l.\nAnswer: -1\/3, -1\/23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*z - 2. Let i(y) be the first derivative of 0*y**2 + 0*y + 3 + 1\/3*y**3 + 3\/4*y**z. What is the third derivative of i(u) wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -29. Let o(w) = -16*w + 26. Let x(j) = -33*j + 53. Let y(v) = i*x(v) - 7*o(v). Find the first derivative of y(r) wrt r.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*u - 13*u - 134*u + 16 - 16 + 12*u + (-3 + 4 - 3)*(u - 3*u + 0*u) + 2 - 2*u - 2 + 2 - 2*u - 2 + 3*u - u + 0*u.\nAnswer: -198*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1684*c**4 - 31*c - 849*c**4 - 851*c**4 + (0*c**3 - c**3 + 2*c**3)*(4*c - 6*c + 0*c).\nAnswer: -18*c**4 - 31*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 43*v + 17. Let m be u(-22). What is the derivative of m - 41 + 35 + 61 + 62*x**3 wrt x?\nAnswer: 186*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19\/(-19))\/((-1)\/(-425)). Let k = i - -1543. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028247 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*m = -8*s + 796, -5*s + 991 = -m. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26566 = 86*p - 26394 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1085, -1636, -2187, -2738, -3289?\nAnswer: -3840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/57359574 and -71\/95599290?\nAnswer: 286797870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 58*s**2 + 112*s + 2975. Determine r(55).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 4*z - 10*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 1. Let v be f(1). Suppose n - 3*n = -v. What are the prime factors of (33\/(-6))\/(n\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1319116 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22002020 (base 3) to base 11\nAnswer: -4477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 9 = -62*v + 103. Put 7, v, -4, -3 in decreasing order.\nAnswer: 7, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*y - 5*d = 628*y - 3, -3*d = -3*y - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 419 = -538 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 8673?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100\/125*(-5)\/(-2). Let v(h) be the third derivative of -h**6\/120 - h**4\/24 + h**3\/6 + 4*h**2. Calculate v(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 28 = -4*p, 0*b + 11 = 3*b - p. Let g be 3\/(-12) - (-21)\/(-12). Let k = 1 - g. Solve 0 = -x - k - b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 138, -1654 in ascending order.\nAnswer: -1654, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**3 - 8*r**2 - 3. Let b(h) = -5*h**3 + 7*h**2 + h + 2. Let k(c) = 5*b(c) + 4*v(c). What is the remainder when 23 is divided by k(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611398 to the power of 1\/2, to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16772 divided by -4?\nAnswer: 4193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105 - 95) + 2 + -17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a second in milliseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u - 9*u + 3*u + 9*u + 5. Calculate w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 326466 and 598521?\nAnswer: 3591126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.305 - 1231787.\nAnswer: -1231792.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 114094 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 4, l: 4, d: 1, a: 3}. What is prob of picking 1 a, 1 d, and 1 m?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2938 + -2933. Solve -a*b - 2 = -17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 2 (b) 12\/25 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*l = -212*l - 10. Suppose -l*i - i = -16626. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 19*k**2 - 7*k**2 - 4*k**2.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -244*i**2. Let y(h) = -95042*h**2. Calculate y(p(j)).\nAnswer: -5658420512*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -323731433?\nAnswer: 323731430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and -165.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6374 - 6375 = 3*t + 2*n, -12 = 8*t - 4*n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 7:18 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/36 - 1\/(-4). Suppose b = -16*m + 21*m - 520. Let y be 54\/13 - 16\/m. Solve 4*f - y*o + 16 = 0, 3*o - o - 8 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1 - 6 - 7*y.\nAnswer: -7*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/37*17464\/16520.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 7*u - 6. Let j be i(-8). Solve -3*n - 6 + j = -2*k, 2 = k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24572, -24570, -24568?\nAnswer: -24566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - 183\/27) + -4 and -3\/50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/(2 - 1)*1028\/(-5397). What is the third smallest value in -1\/63, -2\/11, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (146 - 144) + (-3 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16aa (base 12) to base 4\nAnswer: 222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or 335?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3274 and -1609.2286.\nAnswer: 1664.7714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(275) + sqrt(275)*1 - sqrt(275) - sqrt(275)) + sqrt(275))*2 + sqrt(275))\/(sqrt(45)*-1))\/((sqrt(120) + 5*sqrt(120)*-2 - sqrt(120))\/sqrt(6)).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, h: 2}. What is prob of sequence phh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*c - 14 = 0, 0 = -0*u - 2*u + c + 29. Let w = -24 + u. Does 3 divide (-26)\/(-8) - w\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7518, 0.3, -3, -23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319692 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.993 + 13. Suppose -16*r = -20*r + 4*z - 8, -z = 3*r + 14. Put 1\/3, r, q in increasing order.\nAnswer: r, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 183 - 171 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**6*v + 6*g**6 - 2*g**2*v + 33*g*v - v wrt g.\nAnswer: -720*g**3*v + 720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -331, -608, -995, -1492, -2099, -2816?\nAnswer: -3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142019*p - 13892 = 142321*p for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5252143 + 46?\nAnswer: 5252211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 649102 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -1, 1, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305 and 460001?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103\/21 - 32\/7. Suppose 0 = -4*s + 2*s - 4. What is the nearest to -2\/5 in s, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/(u\/(u\/u**4)))\/(u**13\/u**(7\/2)) assuming u is positive.\nAnswer: u**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -18824098107*y**2 - 6178614*y - 507 = 0.\nAnswer: -13\/79213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a38 + -5?\nAnswer: 1a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1 + -8 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 5*u + 3. Let t(w) = -w + 8. Let d be t(-6). Let k = d - 10. Let x be (-8)\/(-12)*30\/k. Give b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9721 divided by 38?\nAnswer: -9721\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -89*(4 + -3)\/((-2)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-4))\/((-9)\/8 + 1). Suppose -4819 = -5*w - 4*k, 19*w - k - 4839 = d*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*j - 8, 2*j - 19 = -5*q - 2*j. Let v = -7 + q. Let m = 3 + v. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 28*k**2 + 93*k + 17. Calculate j(-17).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 4:50 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let x(t) be the third derivative of t**5\/60 - 125*t**3\/6 + 8*t**2 - t + 20. Give x(q(d)).\nAnswer: d**2 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-two thirds of a decade?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(19)) - 3*sqrt(19)*1.\nAnswer: -9*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 4*k**3 + 2*k**3 - 1 - k**3 - 2*k**3. Let z be q(1). Solve 1 - 4 = z*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -2 + -2 + 435. Suppose -11*u + v = -2996. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-1 - sqrt(1377) - (sqrt(17) - (-2*sqrt(153))\/sqrt(9)))**2 + (sqrt(2448) + sqrt(2448) + sqrt(2448)*4 + 2)**2.\nAnswer: 288*sqrt(17) + 95629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61241 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5750 and 4370.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j = 15. Let p(z) = -z**3 - 27*z**2 - 72*z + 5. Let t be p(-24). Solve j*w + t = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in 0.3, -4\/13, -3\/254?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b = -4*j - 7, 0 = 2*j - 4*b + 14. Let v(f) = -2*f**2 - 872*f**3 - 17*f - 3 - 14*f - 11*f + 38*f. Is v(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 784, 781, 782, 793, 820?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -22. Let q = -7 + z. Let w(u) = u + 9. Let v be w(-4). Sort q, v, -2 in ascending order.\nAnswer: -2, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*(r*r*r*r\/(r\/(r*(r*r**(-30)*r)\/r*r)*r)*r*r*r)\/r))**(-7))**25)**(31\/5) assuming r is positive.\nAnswer: r**(-24955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 189*209 - (80 - 84) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7437785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 6\/25, 6 in descending order.\nAnswer: 6, 6\/25, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (16 - (9 + -36)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11354627.27 to the nearest 10000.\nAnswer: 11350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18864 (base 10) to base 11\nAnswer: 1319a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -548 + 557. Let b(x) = x**2 + 37*x - 78. Let k be b(-39). Solve -2*g - 3 + w = k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17443, 7, 2, 6 in increasing order.\nAnswer: -17443, 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 c, and 1 y when three letters picked without replacement from {r: 2, p: 1, o: 1, y: 1, c: 2, a: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/3)*h*h**(-2\/3))**(-27\/5))**(6\/7) assuming h is positive.\nAnswer: h**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, c: 14}. What is prob of sequence dddd?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 42232.963?\nAnswer: -42235.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ehehihihhhihpihhheip?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.92 + 7.92. Put i, -2\/5, 26, -2\/9 in decreasing order.\nAnswer: 26, i, -2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/18 + (-4)\/18. Suppose -3*r + k*v - 30 = 0, -v - v = -2*r - 18. Let u = r - -22. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.29, -0.03, 5 in increasing order.\nAnswer: -0.03, 0.29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkkknkjmmjk. Give prob of sequence nmj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 23 = -3. Let q be ((-6)\/l)\/((-9)\/(-18)). Solve -3*d = o - 9, d = -o - 2 + q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 3)\/(6\/(-9)). Let q(i) = i**3 - 5*i**2 - 4*i - 6. Let h be q(f). Let y(r) = -r**2 + 5*r + 1. Give y(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/80 + 9\/16. Suppose 3*n - 5 = 5*v, 0 = -v - 5 + 1. What is the second smallest value in -2\/5, m, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 2. Let j(h) = 1. Let l(r) = -r**2 + 5*r + 49. Let c be l(10). What is c*t(w) - 3*j(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4330\/60 - 1\/6. Let o = -68 + r. Solve 2*c = -o*h - 24, 4*h - 3*c = 2*c - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50275 rounded to the nearest 1000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*i + i + 33, 5*i - 37 = 4*v. Let u = 24 + v. Suppose -q - j = 2*j - u, 2*q - 20 = -5*j. Solve q*l = -5*s, 0 = -l - 3*l - s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/9)\/(4\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6733 < 14855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.17 - -0.17. Is 0.184 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -2.2. Let u = -24 - -70\/3. Let t = 0.56 + -0.06. Which is the second smallest value? (a) s (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 = -6. Suppose -5*l - f = 2, 0 = -3*l - m*f + 7*f + 10. Suppose -2*v + 6 = l, v = -4*r + 29 + 2. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, -4.\nAnswer: -4, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002081032 to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39002878, -39002877, -39002876?\nAnswer: -39002875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -167 - 66*k - 168 + 501 - 168 as t*k + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55753323 to the nearest integer?\nAnswer: 7467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89798799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiyyyyyi. What is prob of picking 2 y?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 549*u - 3. Let l be q(1). Suppose 3*k = z - 298, 0*z + 4*k = -2*z + l. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 8*p + 26. Is l(-20) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3026 + -1.\nAnswer: -3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -55*b - 2. Let n be h(-1). Let i = n - 40. Find the second derivative of -14*w + 16*w - i*w**3 + 14*w wrt w.\nAnswer: -78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1771613 is divided by 705?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001000111100 + -10?\nAnswer: -11001000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1099*h - 720*h + 908*h + 337*h - 2 in the form r*h + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/13)\/(-74*(-31)\/59644).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19864, -19917, -20090, -20443, -21036?\n\"Answer: -10*r**3 + 17*r - 19871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*d - 38 = 0, 1308*d = 5*f + 1311*d + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 75 + 33\/4*x**2 - 1\/3*x**3 + 17\/2*x. Let d(t) = 0. What is t?\nAnswer: -1\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12447 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 27 - 17. Let v(q) be the second derivative of 1\/70*q**5 + 0 - x*q - 1\/42*q**4 - 2\/21*q**3 + 0*q**2. Factor v(t).\nAnswer: 2*t*(t - 2)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11740\/39 - -301. Is 0 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -39095*v**2 + 19548*v**2 + 19549*v**2 - 22*v**3 + 21 + (-3 + 3 + v**3)*(0 + 0 + 2) in the form t*v**3 + n*v**2 + j*v + z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13489, -13497, -13505, -13513?\n\"Answer: -8*m - 13481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, n: 4, s: 1, e: 5}. Give prob of sequence neh.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-31.35.\nAnswer: -156.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 74, 132, 176, 200, 198?\n\"Answer: -d**3 - d**2 + 68*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*p - 99 = -79*p. What is the greatest common divisor of p and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j - 58. Let y(v) = v**2 - 118*v - 885. Let k be y(-7). Determine n(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((3 - 2) + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**3 - 9*n**2 + 7. Let r(s) = 4*s**3 - 5*s**2 + 4. Give 4*q(p) - 7*r(p).\nAnswer: 8*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + 280. Calculate the highest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a centimeter?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 2*n - 1. Let z be p(3). Suppose 3*b - 67 = z. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113327\/18214 - -10\/1301. Find the common denominator of q and 59\/2172.\nAnswer: 15204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31583 + 3?\nAnswer: 31586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470 - 21*i - 926 + 457.\nAnswer: -21*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12079307 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-70)*(-234)\/(-13)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*y + 200*y**2 - 44*y.\nAnswer: 200*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24 - -26)\/(1\/2). Suppose -y*u + 112 = -0. What is the remainder when 872\/u - 5\/35 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 276*b + 72*b + 4654 - 1522 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 46. Suppose 12*j + 682 = m*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z - 12. Let x(k) = 5*k - 13. Let c(t) = -6*h(t) + 5*x(t). What is the first derivative of c(b) wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - n + 3. Let x be w(-3). Suppose z + 6 = 1, m + 2*z + 8 = 0. Suppose -g - m*g = -x. Solve 0 = -4*v + g + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -395.2 * 33.\nAnswer: -13041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512 times -0.5?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -119, -463, -1163, -2345, -4135, -6659, -10043?\n\"Answer: -21*h**3 + 11*h**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 3. Determine c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let p(f) = f + 1. What is -3*p(b) + w(b)?\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**9\/4320 - 3*l**8\/4480 + l**7\/2520 + l**4\/12 + 2*l**2. Let o(k) be the second derivative of z(k). Solve o(b) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100120110 + -100212?\nAnswer: -1100221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.5 - -6.638.\nAnswer: -0.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 63, 40, -1, -66?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogbososgsoggq. What is prob of picking 1 b and 2 g?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (6840 + -6831 - (-15 + 1 - 0))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3\/60*6. Let l = 1\/10 - h. Let r = 3.6 - 4. What is the nearest to -2 in r, l, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -8, 8512?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-13)\/22750)\/(6\/1695) and 27\/224?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-506)\/(-2277) - (32\/(-18) + 0). Let i(y) = -5*y**3 - 3*y**2 - 3. Let j(f) = f**2 + 1. Calculate d*i(p) + 6*j(p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 2*k**2 + 11*k + 21. What is s(-4)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 2, 1, 6, -5, 14631 in increasing order.\nAnswer: -5, 1, 2, 4, 5, 6, 14631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*d**2 + 15 + 179*d**2 - 35 + 14 + 6.\nAnswer: 303*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1749*b = -2*s + 1753*b + 84, -s = 5*b + 105 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*u + 18 + 2, 2*s = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.86 * -0.04702\nAnswer: 0.0874572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*o - 6 + 30 = 0, 5*w + 12 = -2*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 83?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 532 = 58*o. Let c(l) = -2*l - 1. Let k be c(-3). Suppose 4*d = -3*n + 8054, o*n + 2710 = 8*n - k*d. What is n rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 3*b**2 - 4*b + 3. Let v be l(-4). Solve -v*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1518202?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-4*t - 4*t + 4*t)*(-19*t - 140*t + 18*t + (-1 - 1 + 3)*(t + 3 - 3) + 2 - 2 + t + 2*t - 3*t - 3*t).\nAnswer: 1144*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1112\/9163 + 2\/539. Let u(x) = 3*x - 9. Let b be u(3). Suppose -2*p + 8*k - 3*k - 23 = b, -2*k + 7 = -3*p. Is q greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -110010010?\nAnswer: -110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47*m**3 - 671817*m**2 + 2400727329*m + 51079609.\nAnswer: (m - 7147)**2*(47*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064796592 to 4 decimal places.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 30\/41 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001105776 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -671 < -23643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s. Let m(f) = -13*f**2 - 16*f**2 - 1 - 7*f**2 - 8*f**2 + 41*f**2. Determine q(m(u)).\nAnswer: 24*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -8955, 5, 1, -131.\nAnswer: -8955, -131, -12, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117693575\/18 - 6541881. Let x = -3348 - i. Are x and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**4\/4 + 2*n**3 - 5*n**2\/2 + 6*n + 3. Let l be b(5). Is -381*2*(-1)\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 1:46 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-93) - (-17280)\/8928?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 13 = -b, 4*w - 5*b - 25 - 8 = 0. Let k(m) = 30*m - w - 30*m + 8*m. Let p(v) = v**2. What is k(p(c))?\nAnswer: 8*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*m = -4, 4*m + 9 - 1 = 4*n. Let q(u) = u**3 - 5*u**2 + 4*u + 8. List the prime factors of q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1936\/7 + 1\/7*l**2 - 88\/7*l.\nAnswer: (l - 44)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 3*k - 14*k - 857286 + 857283.\nAnswer: -10*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*d - 26 + 2, 5*t = -5*d - 30. Let u = 159 + -334. Is 1\/d - u\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88*110144.\nAnswer: 9692672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/291300 and -7\/15?\nAnswer: 291300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 2. Let k = -21 - -19. Calculate b(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*-3*4\/12*50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1426*r**2. Let f(d) = -21889*d. Give x(f(k)).\nAnswer: 683236985746*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 2 + 3 - 6)*(3 - 3 + 4)*(0 + 1 - 3)*(s - 3*s + 3*s) in the form n*s**2 + g + m*s and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 13083975*l - 13083970.\nAnswer: -5*(l - 2616794)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7325414?\nAnswer: 2, 83, 44129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1377) + 0)**2*-5 - ((sqrt(1377)*-3 + sqrt(1377) - sqrt(1377)) + 4)*-6.\nAnswer: -162*sqrt(17) + 13794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 108?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-4)\/(-60)*3)\/(20\/(9000\/(-9)))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**7\/147 - f**6\/3 + 198*f**5\/35 - 216*f**4\/7 - 576*f**3\/7 - 35*f. Determine j so that n(j) = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/11 - 25654*c**2\/11 - 108924686*c\/11 - 153247721658\/11 = 0. What is c?\nAnswer: -4989, -3919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(9) - sqrt(36)*4)\/(-5*(sqrt(3) - (sqrt(12) + sqrt(144)\/sqrt(12)))).\nAnswer: -23*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 230132 and 8775823.9.\nAnswer: 9005955.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-15)*5\/(-60)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 196 + -190. Solve 8*s + 6 = t*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*f + 28. Suppose -2*h + 2*j = f - 10, 0 = 5*h - 2*j - 12. Solve 0 = -5*r + 3*l - 32, h*r - 6*l = -4*l - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 10:00 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 433 + -419. Suppose 761 - 2651 = -y*g. What is the greatest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 28587?\nAnswer: 28587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/10 - -1) + -2. Let t be 3 + (3\/(-18))\/((-15)\/(-21)). Let d = t + u. What is the smallest value in 4, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1150*t - 1681.\nAnswer: -1150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.81303 millennia to months.\nAnswer: 981756.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -17, -1\/7, -0.01, 48, -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2869 - 2870. Is 7\/51 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tot when three letters picked without replacement from {s: 2, t: 2, o: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:06 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52, -68, -56, -22, 28, 88?\n\"Answer: -k**3 + 20*k**2 - 69*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -3 (c) -1\/5 (d) -5 (e) -667\/2 (f) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*l**2 + 0 - 8\/9*l**3 + 2\/9*l**4 + 4*l.\nAnswer: 2*l*(l - 6)*(l - 1)*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-30)*45*-1. Calculate the highest common factor of z and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a + 20*a + a. Let y(f) = -20*f - 6*f + 43*f - 18*f. Calculate s(y(t)).\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -3\/8 (b) -4 (c) -2\/825 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*n, 5*n = -0*n + 2*o + 28. Suppose -n*s + 3*s = 2. Let k(l) = 0 - 3*l**2 - 3 - 5*l**3 - 2*l + 3*l**3. What is k(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12990 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htshshzaaa. Give prob of sequence htsz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvq when three letters picked without replacement from {a: 1, v: 2, x: 4, q: 6}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645, 1284, 1933, 2598, 3285?\nAnswer: 4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*w - 572*w = 8208 - 27428 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.77 + 0.23. Which is the closest to 0? (a) -0.2 (b) r (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -363*j**3*o**2 - 78*j**3*o*q + 2*j**3*o + 50*j**2*o**2*q - j**2*o + 107*j**2*q - q wrt o?\nAnswer: -726*j**3 + 100*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45614, 45466, 45196, 44786, 44218, 43474?\nAnswer: 42536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(4 - 2*q - 4 + 1 + 2*q - 1 - 2*q + 0*q + q + (0*q + 5*q - 2*q)*(-2 + 0 + 0) - 5 + 31*q + 37*q - 77*q)*(2 - q - 2).\nAnswer: -16*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 = -f + 4*a, -5*f = 4*a. Let l(g) be the first derivative of g**4\/4 - 2*g**3\/3 - 2*g**2 - 5*g - 426. What is l(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*m + 6, -4*v + 3*m = -m - 20. Suppose -v*z - 10 = -2*d - 0, -4*d + 10 = -z. Let c(r) = -r - 4. Let i be c(-4). Solve -2*a - d*a = i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2331, -14, 1 in increasing order.\nAnswer: -14, 1, 2331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 1:47 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 145247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 5*y**2 + 8*y + 2. Determine v(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide -1 + -3 + (11 - -454 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110757147 - -47?\nAnswer: 110757216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfvvvvoovvooooo. What is prob of picking 1 o and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -44.6?\nAnswer: -93.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1369 - -1370. Solve 0 = 5*k + s + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124 + 129. What is the smallest value in 0, -5, b, -2.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*h = -26, -n + 105 = -3*h + 98 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1788 - 1784. Which is the nearest to 0.3? (a) 0.4 (b) w (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1069693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**0*i)\/(i*i**(-4\/7)*i)*(i**0\/i*i)**31*(i**(-2\/5))**(-14)*i**0*i**(-5)*i assuming i is positive.\nAnswer: i**(111\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*a = -94*a - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (3 + -1 - 3). Let h be (-194)\/6 - l\/3. Let s = -13 - h. Calculate the least common multiple of 12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u**2 - 13*u. Let w(o) = -26*o**2 + 12*o. Let n = 47 + -43. Let r(m) = n*w(m) + 3*p(m). What is the second derivative of r(g) wrt g?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(248\/(-40) + 7). Solve -4*o - 14 + 3 = -l, -4*l = -q*o - 22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1485, 2973, 4461, 5949, 7437?\nAnswer: 8925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 115 = -5*n, -3*n - 3*c + 69 = -5*c. Suppose -j + 2 = 5, -4*i + 5*j = -n. Solve i*y - 3*r + 8*r - 5 = 0, y = 3*r - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-2) + 6 + 4. Solve -4 = n - 4*f, -4*n + 3*f + 4 = -c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26687 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.2 (c) -0.4 (d) 0.5 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 + f - 1. Suppose 3*o = -0*o + 60. Suppose -j + m = -2*m + 14, -5*j = -5*m + o. What is the remainder when 9 is divided by y(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -16*b**2 - 64*b - 64. Let h(t) = -t - 1. Calculate 64*h(u) - i(u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**3\/3 + 57. Let c(p) = 34*p**2 - 6. Give c(j(d)).\nAnswer: 34*d**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6298 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398 plus 0.2?\nAnswer: 2398.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1436 and 1\/28?\nAnswer: 10052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f - 1. Let b(a) = 9*a**3 - 2*a**2 - 3*a - 9. Let z(m) = -b(m) + 6*n(m). Suppose k + 3 = -0*k. Is z(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -17. Let g = -20.5 + 21. What is the third smallest value in 5\/2, g, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + (sqrt(3) + 4 + -5)**2).\nAnswer: -20 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6776 - -7164. Calculate the greatest common factor of p and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 12 = 17*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3557133 to the power of 1\/2, to the nearest integer?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 9*j + 24. Let z be i(-8). Calculate the greatest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 144. Calculate the remainder when 90 is divided by p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8302 - 5034. Is r a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from gth?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-260)\/1190*-17.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -3*u. Suppose 10*k - 5*k = u*i + 8, 0 = 5*i - 5. Is 37\/k - 6\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534864651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4\/(2 - (-833)\/(-510)) + -10.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 30459.28 microseconds?\nAnswer: 30459280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1905*x**4 - 1596.\nAnswer: 7620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5836*f**3 - 230*f**2 + 4898841*f wrt f?\nAnswer: -35016*f - 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 5, -0.4, -2\/9, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2099 - 719. Let m = -745 + w. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 930 by 1.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 4*v**2 + 4*v - 7. Let w be i(-5). Let x be (1 - 0)*w\/(-1). Let m = x + 2. Solve -f + 14 = 3*f - 3*a, -2*a = m*f - 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4634.\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/35609 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*s + 33 = 0, 2*f = -0*f - 4*s + 26. Solve -a - 6 = -f*u + 4*u, -5*u = 3*a - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1659\/52 + -127\/4. Let x = 15 + -12. Which is the nearest to 1? (a) t (b) x (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (107*u + 115*u - 204*u)*(21*u**2 + 103 - 103) in the form n*u + g + d*u**3 + j*u**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let n = 44 + -14. What is the remainder when n is divided by (-1 - (-51)\/3) + h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, -2, -338, 6 in descending order.\nAnswer: 134, 6, -2, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 28*k - 5. Let d(g) = 56*g - 12. Determine 5*c(t) - 2*d(t).\nAnswer: 28*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-587*q - 717*q + 1274*q + 57*q**2)*(q - 4*q + 2*q).\nAnswer: -57*q**3 + 30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18794083 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o - 8*o + 3*o**3 + 2 + 2*o**2 - 4*o**3 + 0. Give y(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllllllp. Give prob of sequence pll.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 10*q**2 - 12*q - 25. Let l be 2 - (5 - -3) - 3. Let t be c(l). Solve t*r - 6*r = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -875, 2.\nAnswer: -875, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36673601 to the nearest integer?\nAnswer: 6056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2357 or -7115?\nAnswer: 2357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 159135060 divided by 7577860\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 2, z: 2, g: 1, i: 4}. Give prob of sequence gz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 - 20*g + 16 = 0. Calculate g.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0125 times -5?\nAnswer: -0.0625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 15*o + 0*o to j + u*o and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 - 2.93. What is the closest to -2 in c, -5, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70373.66cm in kilometers?\nAnswer: 0.7037366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 1\/2, -2, 2\/9, -4, -1\/149932, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((((-33)\/81)\/(-1))\/((-2266)\/(-10197)))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -12\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 16, 16, 12, 4, -8, -24?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2626 - -2640 - (-3 - -26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 + 0 - (38 + -37)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let u(y) = -y + 6. Let j be u(3). Suppose n + f + j*f = 7, f - 1 = 0. Calculate the remainder when n is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304487?\nAnswer: 17, 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 5. Let y be ((1 - 2)*-1)\/(1\/40). Suppose -y = -2*n - 6*n. Let l(s) = -2*s**2 + 4*s**2 - 3*s**2 - 3. Determine n*l(o) - 3*u(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3*3\/15). Suppose -y = -5*g, -w - 5*g - 32 + 102 = 0. Let j be 1 + w\/(-14) - -3. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1433963 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/68 and 57\/(-204)*(-18)\/(-567)*-7?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = s - 11. What is the units digit of 75\/11 - (-4)\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(40\/1)*(-118)\/413*2?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -7. Let y = -10.1 + v. What is the closest to y in -4\/7, -1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -256, -290, -342, -418?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-99) + 113\/(-18) - (-36)\/(-24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211203131 (base 4) in base 9?\nAnswer: 254002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 8 = -3*v + d, 5*d = 5. Let h be (-21 - 3)\/(v - (-2)\/(-1)). Which is smaller: -19 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y**3 - 1\/5*y**5 + 0*y + 0*y**4 + 35\/2*y**2 + 60. What is the second derivative of n(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 7. Let v be k(-3). Let l(q) = 5*q**3 - q**2 - q + 1. Let m be l(v). Solve 2*u + s = m*s + 10, 25 = 5*u - 5*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87731*u**3 - u - 48657 wrt u?\nAnswer: 263193*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433620.\nAnswer: 2, 5, 43, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 2*h - 6*h - 24, n = 5*h + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from ojrjrooorbrbjrjoonor.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t - 13. Calculate the remainder when b(-13) is divided by (-2 + 1\/1)\/((-10)\/430).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**3*k**2*r**2 + 90*i**3*r**2 + 6*i**2*k**2*r**2 - 2*i**2*k**2 + i**2*k + 4*i**2*r wrt i?\nAnswer: -30*k**2*r**2 + 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let a = 66 - 62. Let u be a - (212\/28 - (-9)\/21). Sort 2\/7, u, z in increasing order.\nAnswer: u, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 658 = -4*j, -5*j - 23 + 3 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144204263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0212 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 >= 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*v + 252 = -147*v. What is the third smallest value in -3, 0.11, v?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (28\/4 + -37). Suppose 2*i + v = 14*i. Solve 4*u = 5*k + 1, -i*k + 3*u = -0*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 1.3339?\nAnswer: 1.3339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + 21\/14*16\/(-12). Put u, -4, -2, 29 in descending order.\nAnswer: 29, u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2529 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by -283?\nAnswer: 147\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*u - 9*n + 4*n, 12 = -2*u + n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 279*z**2 - 866?\nAnswer: 558*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009783273 to six decimal places.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 + 37\nAnswer: 37.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -15. Let s = -28 - j. Does 30 divide (-4 + (-172)\/s)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:23 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -281628 by -36.\nAnswer: 7823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-16) - (-7 - -1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 0.03, -361.783, -0.5 in decreasing order.\nAnswer: 79, 0.03, -0.5, -361.783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 l when three letters picked without replacement from cnllllnlnnnlllllncln?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1423\/5553 - 21\/617. What is the nearest to 0 in q, -1, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78\/31 - -1\/62. Let n = h - -79\/30. Suppose 5 = -5*y, 3*i + 6*y = y + 4. Which is the second biggest value? (a) n (b) i (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-21)\/9)*36. Solve r = 7*r + w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 260 + -489. Let m = 1033 + -560. Let v = y + m. What are the prime factors of v?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650\/(-110)*-1*(-38)\/30?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 1. Let h be i(8). Suppose 4*x - y - h = 0, -5*x + y + 97 = -143. Is x a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762*j + 98 = 776*j. Let k(q) = q**3 - 7*q**2 + 2*q - 10. Determine k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 21. Suppose -33 = c*s + 21. Let j be (-3)\/((-2)\/s*-3). What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 152?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 20110?\nAnswer: 20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 1, r: 1, d: 1, p: 1}. What is prob of sequence cdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9359943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26840 = -1020*b - 2335*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 275862407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 - t - 3. Let r be g(-5). Let a(m) = 3*m - m + r*m. Let s(q) be the second derivative of -q**4\/6 - 3*q. What is a(s(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10680 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 4*s - 2*p, -3*s - 6 = -5*p - 253. Suppose -4*o + 17 + 43 = 0. Calculate the remainder when s is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrg when three letters picked without replacement from {o: 4, z: 3, r: 2, g: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1059245, 2118479, 3177713, 4236947?\n\"Answer: 1059234*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-27)\/12))\/((-34)\/3)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456380, 912755, 1369130, 1825505, 2281880, 2738255?\nAnswer: 3194630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 238.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9097, -9081, -9053, -9007, -8937?\n\"Answer: l**3 + 9*l - 9107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/81 and 127\/315954?\nAnswer: 947862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) - (3 - (-153)\/(-21)). Let i = 140 + -136. Solve f + 18 = v*z - 2*f, -f = -i*z + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78368 or -77729?\nAnswer: -77729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15929175.\nAnswer: 3, 5, 163, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -10, 2\/5, -107?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 - -227. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696455.\nAnswer: 3, 5, 37699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 634\/91?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163151.999925901 - 163152. What is j rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-10\/9)*p)*p*p**18)\/(p**(-1\/7)*p**17) assuming p is positive.\nAnswer: p**(205\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2943, -11911, -26901, -47913?\nAnswer: -74947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - 15.5. Let y = 12356327.999977 - 12356309. Let f = s + y. Round f to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -392 divided by 1987\nAnswer: -392\/1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.7 + 10.88. Let k = d - -1.8. Are 0 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*i + 14 = -326*i. Let c(l) = 32*l + 1. Is c(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(58\/(-145))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 divided by -4.\nAnswer: 209\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (9 - (1 - 6))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**11*f))\/f**(4\/5))\/((f\/f**(-10))\/(f**(-3)\/f)) assuming f is positive.\nAnswer: f**(-134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 438427, 68, 3 in increasing order.\nAnswer: 3, 68, 438427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(2205) + (sqrt(2205)*-4 - sqrt(2205)))\/((sqrt(81) + sqrt(81)*1 + sqrt(81))\/sqrt(9))*-2.\nAnswer: 4 + 112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-33)*(-4338)\/265341.\nAnswer: 2\/367","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003702008 rounded to 4 dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**17\/(j**(-2\/7))**(-40) assuming j is positive.\nAnswer: j**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowwoeowddwowdo. What is prob of picking 2 w and 1 d?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (-92)\/16)\/((-2)\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 times 0.03?\nAnswer: 13.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15777 and 29709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - 0.173871558?\nAnswer: -0.193871558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -5, 5.\nAnswer: -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) - (385\/(-30))\/11. Let a be 39\/540 + 2\/(-9). Let p = -7\/20 + a. What is the closest to p in -0.4, -3, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -34, -2, -1, 42, 6.\nAnswer: -34, -2, -1, 1, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24)\/80 + 9324\/(-8))*1*-5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15339\/16884 + 2\/(-6)*1. Let q = y - 1\/268. Which is the second smallest value? (a) 0.2 (b) -0.06 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v + 1. Let f be (-3)\/(-2)*2\/v. Suppose -10 = -3*m - 4*y, 3*y = f*m - y - 50. Calculate the smallest common multiple of 5 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*5 + 5.\nAnswer: 5 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**9\/7560 - x**8\/1680 + x**7\/1260 - x**4\/6 + x. Let u(c) be the third derivative of r(c). Suppose u(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**3 - 4*u**3 - 5*u**2 + u + 0*u**2 - 6. Let g be ((-9)\/6)\/(6\/16). Let i be 3 - -1 - g\/4. Calculate z(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllq when four letters picked without replacement from {g: 1, l: 5, k: 4, q: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:11 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*j - 52*j + 99*j)*(1 + 2 - 5).\nAnswer: -218*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8096 (base 12) in base 7?\nAnswer: -55431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1594 in -1\/7, -8, -3\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 22648 and 22647 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -2, 2*i + 3*u + 424 - 438 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -185 + -5?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 9313. Let l(w) = w**2 - 13762*w. Give c(l(q)).\nAnswer: 3*q**2 - 41286*q - 9313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000269116 to 6 dps.\nAnswer: -0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3232515459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99872 is divided by 1749.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*k + 91 = -3*k, 3*k + 112 = 5*v. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*f + 38*f - 23*f + (0 + f + 0)*(-3 + 1 + 3).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) - (-10)\/30. Suppose h + 7 - 27 = d. Calculate the remainder when ((-392)\/(-6))\/(7\/(-3) - -3) is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 1\/3*q**6 + 2 + 0*q**4 + 0*q**2 - 1\/3*q**3 + 0*q**5 + 0*q. Find the third derivative of l(s) wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - 4*c**2 - 6*c - 6. Let k be (-1)\/((1 - (-8)\/(-4))\/(-11)). Let g(j) = 3*j**2 - 8*j**3 + 8 + 8*j**2 + 17*j + 9. Give k*w(a) - 4*g(a).\nAnswer: -a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19590\/18*(-12)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.2 + -18.2. Let g = -11 - b. Let r = -4 + g. Sort 4, r, -0.2.\nAnswer: r, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 41, 112, 231, 398?\n\"Answer: 24*u**2 - u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510060 divided by -510060.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-20)*(-2 + 2). Let w(s) be the first derivative of 2\/3*s**3 + 1 + 1\/2*s**2 + u*s. What is the second derivative of w(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*p - 16, 3*p - 15 = w + 1. Sort 5, 3, 8, w.\nAnswer: w, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*h - 129, 4*n + n - 185 = -5*h. Let y = n - 26. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53125 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 66. Which is greater: 5\/8 or r?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34397\/32 - -1075. Suppose -12*o = -8*o + 6112. Let l = o - -6113\/4. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56\/5*w + 4\/5*w**4 - 76\/5*w**2 + 16\/5*w**3 + 0 = 0.\nAnswer: -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from itamtqiqaiitiai.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6 - 5*y**2 + 9*y - 2*y**2 - 3. Let q(a) = -3*a**2 + 4*a - 4. Let x(h) = 9*q(h) - 4*s(h). Let l(t) = 7*t + t + t - 4*t. Calculate x(l(g)).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 22. Let v be 2\/h + 29\/90. Which is the second smallest value? (a) 2 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12389 or -235378\/19?\nAnswer: -235378\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10665561.06us?\nAnswer: 0.00001763485625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m = -28*m - 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -5, 86, -0.5?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 32 = -2*i. Solve -i*f - x = 23, -3*f - f - 2*x = 26 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**4 - 106605*a**3 + 10388735*a**2 + 21523605*a - 31805730 = 0.\nAnswer: -21418, -3, 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -2*r**3\/3 - 7*r + 11. Let t(g) be the first derivative of 2*g**3\/3 + 6*g - 9. Determine 3*o(j) + 4*t(j).\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248033518?\nAnswer: 2, 624016759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.107867ms in minutes?\nAnswer: 0.00016846445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1476 divided by 738\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -5, 19 in descending order.\nAnswer: 19, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 169212.5 micrometers in centimeters?\nAnswer: 16.92125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 18*p + 4. Let o be x(-18). Let n(k) = -k**3 + 6*k**2 - 7*k - 5. Let v be n(o). Let r(l) = -l**2 + l + 1. Determine r(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/2)\/(-3)*(-92)\/1035.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-32)\/4 + (-232)\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21645?\nAnswer: 3, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18233, 72983, 164233, 291983?\nAnswer: 456233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/336)\/(26\/234)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 78145, 78146, 78147, 78148, 78149?\n\"Answer: g + 78144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27838 is divided by 1663.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -2 - 24\/(-3). Suppose -r*d + 3*y = -174, 0*d - 2*y = 3*d - 112. Calculate the remainder when d is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, d: 4, o: 3}. Give prob of sequence oqqd.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*z - 24. Suppose 7*t + 38 = z*t. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v + 3*g - 382, 3*g + 200 = 2*v. Suppose 4*k = -3*y + 71, -2*y - 3*k + v = 2*y. Calculate the remainder when 148 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*x + o, 2*x + 5*o + 3 + 12 = 0. Suppose -x*u + a = 102, -3*a + 25 = 4*u + 118. What is the tens digit of (-98)\/u*36\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 190109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 16. Suppose 306*q - 307*q + 2 = 0. Let g(b) = -b**2 + 10*b - 23. Let x be g(q). Determine v(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49006313.8+-659794\nAnswer: 48346519.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10600510 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1025 + 431. Let c be (-24)\/(-40) + a\/965. Let n = c - 127\/4246. Calculate the common denominator of n and 93\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 20 = 2*b - 6*b, 0 = b + 2*w - 5. Suppose k + 7 = -2*v, v = 4*k + b - 22. Put 1, v, 2 in increasing order.\nAnswer: v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9097577 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 608\/105?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 + 5*f + 6. Suppose -9*l + 6 = -11*l, -4*l - 42 = 5*k. Let y(o) = -o**2 - o. Calculate k*y(g) - r(g).\nAnswer: g**2 + g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 1:57 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 12*m - 7. Calculate y(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 198057339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2555 divide 179718700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7999a + -37?\nAnswer: 79963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*h + 207, 18*d = 13*d + 5*h - 1005. Let p be ((-2)\/(-3))\/(987\/d + 5). Let w be 3 + (3 + -2)\/1. Calculate the highest common divisor of p and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 16 = -3*m, -2*h + 6 = -3*m + 25. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 5)*(0*b + 0*b + b**2) as f + h*b + a*b**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 20. Let s be g(16). Factor -6*r**s - 24*r**3 - 4*r**2 - 9*r**3 + 19*r**3.\nAnswer: -2*r**2*(r + 2)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835.\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 49*f - 45. Let g be r(1). Suppose -2*v + 19378 = g*w, v - 3*w = -327 + 10011. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12101 (base 3) in base 11?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -283*y - 4. Let t(r) = 280*r + 9. What is -2*t(x) - 3*v(x)?\nAnswer: 289*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**6\/135 - j**5\/30 + j**4\/27 - 14*j. Determine u so that l(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(5) + sqrt(5) + sqrt(45)) + -3*sqrt(26)\/sqrt(2))**2.\nAnswer: 2548\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12)*1*-5).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 - -3.6. What is the third biggest value in -1, -10, n?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2 - 43 + 5*c + 2. Let h be q(9). Suppose -n = h*n. Solve 5*s + 14 + 11 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c7e7 (base 16) to base 3.\nAnswer: -2121012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/7, 12, 4, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.029\nAnswer: 0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 251, 1166, 2709, 4880, 7679?\n\"Answer: 314*h**2 - 27*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -116*v**3 + 198*v**2 + 1510*v + 7. What is the ten thousands digit of q(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) - (sqrt(5) - (sqrt(5) - (1 + (sqrt(5) + 3)**2))))*2 - 2*3*(sqrt(245) + sqrt(5))*-1.\nAnswer: 150 + 98*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -0*d + 100. Suppose -2*o = d*o - 72. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) -4\/5 (c) 1 (d) 19 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37116 - 18287. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*p, -2 = 4*p + f + 4*f. Suppose 0 = 4*q - 3*q + p*a + 6, 3*a = -q - 10. Solve 0 = 5*k + 2*j - 9, -3*j + 2 = -q*k + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5568633 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -3*x**2 + 1\/3*x**3 + 4*x - 1. What are the prime factors of n(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.41*41.\nAnswer: -139.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 43*f**3 - 7*f**2 + 32*f - 67. Is n(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 207, 432, 637, 810, 939, 1012?\n\"Answer: -2*z**3 + 2*z**2 + 233*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 170.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 15 = 28 + 147 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 12. Suppose 1 = 2*q - 5. Suppose -12 = -3*z, 0*j - 2*z - c = -q*j. 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: Is 18869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and -13796.\nAnswer: -13789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71300, 141410, 211516, 281618?\nAnswer: 351716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mem when three letters picked without replacement from mmeemmmmmmmemmmmmm?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -117632275914 and 0.2.\nAnswer: -117632275913.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 2*t + 87 - 47 = 0, -4*t - 45 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*-3 + ((-141645)\/(-142))\/(-21)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14786 plus 0.0368?\nAnswer: 14786.0368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 5:13 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 + 74 + 76)*(-5*w + 4*w + 0 + 1).\nAnswer: -223*w + 223","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 247 in 4\/5, -2\/11, 3, -3\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11.37, -129.\nAnswer: -129, 0, 11.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(136)\/(1*sqrt(8)) - (sqrt(2057)*-2)**2) + sqrt(102)\/sqrt(6)*-2 + (sqrt(102)\/sqrt(6))**2 + 5).\nAnswer: 2*sqrt(17) + 16412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74296 or 74232?\nAnswer: 74296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35666440*u - 6195915 with respect to u.\nAnswer: 35666440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10200653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118867600 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 - -28821 - (-18 - -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -41, -65, -91, -119, -149?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**2 - p - 3. Let s(l) = -l**2 + l. Let r(f) = -6*s(f) + w(f). What is r(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*b = 31, -2*n + 13 = -n - 4*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 789867 to the nearest one thousand.\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w**29\/w)\/(w**(-2\/11)\/(((w\/w**(-34))\/w*w)\/w)) assuming w is positive.\nAnswer: w**(585\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 8. Let u = -22 - l. Let g = -8 - u. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2794100928 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 9*t**2 + 9*t + 13. Suppose 4*r - 3*z = 43, -z = 4*z + 5. Let x be j(r). Solve 0 = -a - 5*n + 2*n - 20, 40 = -5*a - x*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1474510000 to the nearest 1000000.\nAnswer: 1475000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = 21*u - 3*u. Suppose 2*h + 5*z = -u, 3*h - 1 = 4*z + 9. Let d(v) = 3*v**2 - 3*v + 2. Let m(r) = -7*r**2 + 6*r - 5. Determine h*m(x) - 5*d(x).\nAnswer: -x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*m**6 + 2*m**4 + 224*m**2?\nAnswer: 4680*m**3 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 9, r: 1, g: 2, h: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d + 75*d = 96. Solve -d*g + 3*g - 23 = -m, -5*m - 4*g = 30 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f**5 - 5*f**5 + 17*f**5 + 0*f**5 - f**5 - 2*f**5 + (f - f + f)*(0*f**4 - 4*f**4 + 2*f**4).\nAnswer: 18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22770734, -22770735, -22770736?\n\"Answer: -p - 22770733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 35 = -7. Let u be (y\/(-10))\/(9\/90). Let n = u - -6. Solve -n*l = 3*q + 11, -14 = 3*l + 3*q + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 3. Let p be x(-5). Let u(b) = -10*b - 13. Let c be u(p). Is 6\/2 + c + -12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*a**3 + 5*a**2 - 22*a + 22*a + 3*a**2 - 56*a**3.\nAnswer: -3*a**3 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -22. Which is the nearest to r? (a) -3 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 2*n - 6, -12 = -x - 3*x + 4*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.105402633 to one decimal place.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (14 - (-10 + 13 + 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from sxsxxxsxxxx.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.96 - 9. Let p = 0.16 - i. Which is the smallest value? (a) 3 (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1083 and -0.7.\nAnswer: 1082.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 18*g. Let d be u(5). Round d to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-900) - 84\/(-135)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2171, -4321, -6421, -8447, -10375, -12181, -13841, -15331?\nAnswer: -16627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2137767 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240007173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/133 in -3\/2, -1, 0.1, 4\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 3:49 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 28152944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326.9714 - -327. Round h to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(1\/5)*t**3)**37 assuming t is positive.\nAnswer: t**(962\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 262637 and 1978.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1740*k + 7*k**2 + k**2 - 5*k**2 + k**2 - 7*k**2 - 252300.\nAnswer: -3*(k + 290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -77\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -0.3 (c) 52 (d) -857\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) 2\/5 (c) 235 (d) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3509, -13786, -30915, -54896, -85729?\n\"Answer: -3426*z**2 + z - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.142030208 and 0.3?\nAnswer: 0.0426090624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.56876ml to litres.\nAnswer: 0.02856876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5510265113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.41 to 1 dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 791 - 2966. Let u = f - -13147\/6. What is the common denominator of 2 + ((-49)\/18)\/7 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48934 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4004014103 (base 5) to base 6\nAnswer: -440451401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) 76 (c) -2\/67 (d) -5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 16*m**2 + 4 + 16*m**2 - 23.\nAnswer: -2*m**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4) + 11010\/20. Suppose 17*h - q = 114. What is the highest common factor of 52 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7546, 7641, 7710, 7753?\nAnswer: 7770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 30*x + 135.\nAnswer: -5*(x - 3)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -31842\nAnswer: 7\/3538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 568855 + -3994847\/7. Let p = r + 232265\/126. What is the common denominator of -55\/18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.95799 nanometers to micrometers.\nAnswer: 0.04995799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.780405l?\nAnswer: 3780.405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 90*w**2 + 806*w + 11. Give s(80).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.44 (b) -1.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -100111001110101?\nAnswer: 100111001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 458 and 83.\nAnswer: 38014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 + 2 + 5*x**4 - 2*x**4 - 4*x**4 in the form h*x + c*x**2 + f*x**3 + j + q*x**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5000 + -4997. Let k = 13 + -5. Solve -f*a = -a + k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o + 3. Let w be z(2). Calculate the highest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 19. Let v be t(11). Let q be v*-3*(-5)\/45. Which is bigger: q or -2\/227?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -99*r**4\/8 + 23*r**3\/3 - 67*r**2 - 2. Differentiate f(u) with respect to u.\nAnswer: -297","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -14*x**2 + x + 26. Determine m(-4).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -127. Suppose 2*d - 5*d + 240 = 3*b, y = 3*d + 2*b - 235. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 15.41\nAnswer: -77.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413863908 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -13*r**6\/360 - r**5\/60 + r**4\/24 - 21*r**3 - 101. Let z(l) be the third derivative of u(l). Calculate z(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**3\/3 + 16*b**2 - 60*b + 72 = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2627*u**3 + 5 - 5.\nAnswer: 2627*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*v - 1290*v = -23496 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**2*i**2*x**2 + 10*a**2*x**3 + 2*a**2*x**2 + a*i**2*x**3 + 371*a*i*x**3 + 527*a*x wrt x?\nAnswer: 60*a**2 + 6*a*i**2 + 2226*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-9) - (2 + 35\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) 2\/2699 (c) 0.1 (d) 5 (e) 112\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 224254?\nAnswer: 224253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 55 = 55 - 85 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(130))\/(sqrt(640)*2) + 3.\nAnswer: 3*sqrt(13)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 1. Suppose 3*r = 5*m + 2, 3*m + 3 + 2 = -2*r. Let g be (-20)\/(-2)*4\/(-8)*r. Determine d(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*7*(-7)\/((-49)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6384 divided by -266\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 52*a**2 - 27*a + 89. Does 51 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3402499.\nAnswer: 17, 233, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69352?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*y**3 + 31*y**3 + 167*y**3.\nAnswer: 162*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4604995.\nAnswer: 5, 920999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1124*c - 1452*c + 17384 = 0 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**8\/3360 - k**7\/945 - k**6\/270 - k**4\/3 + 4*k. Let n(w) be the third derivative of c(w). Let n(a) = 0. What is a?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - ((-6)\/(-2) - -1). What is the nearest to 13 in -1\/4, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-2 - -3*1). Suppose 0 = 17*a - 11*a - 42. Suppose -a*c + c**2 + c + 2*c**q = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k*k*k**(5\/3)))\/(k\/k**(-1\/10)))\/(k\/k**(-5\/3)*k*k*k\/k**(7\/2)) assuming k is positive.\nAnswer: k**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 5*n**3 - 4*n + n + 7*n to the form r*n**3 + l*n**2 + j + z*n and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37738113 by 3.\nAnswer: -12579371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5 + 139*i**4 - 6268*i**3 + 109152*i**2 - 435456*i - 3926016 = 0. Calculate i.\nAnswer: -4, 24, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 10 = -2*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*g - 93 = -10 + 95 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5599495*m**4 + 29806297*m**2 - 2*m wrt m.\nAnswer: -134387880*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 10:40 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 6) to base 8.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u + 6 = 4*n, 3*n - 19 = -5*u. Suppose h = u*h + 9*h. Is 25 a factor of h - 100\/(-1)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/(-14) + 2\/2. Let a be (5\/(-25))\/((-19)\/(-95)). Are a and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89770 is divided by 6636.\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.75 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 + 3*y - 4. Calculate w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*c**5*f**3 - 36*c**5*f - 2*c**2*f**2 + c*f**2 - 590*f**3 wrt c?\nAnswer: 9900*c**2*f**3 - 2160*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.47 minus 1083191247?\nAnswer: -1083191243.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3762 and 2943594?\nAnswer: 32379534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/4)\/((-1)\/(-4)). Let k = -214 - -536. Let y = k + -322.5. Which is the second smallest value? (a) -3\/5 (b) 1\/5 (c) y (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) + (-18)\/(-5). Let w(f) = -f**3 - 54*f**2 + 85*f - 43. Let b be w(-55). Let i = -11813\/7 - b. Is i bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -17 + 6. Let y = -2 + -1. Let h(x) = x**2 + 2*x + 2. Calculate the least common multiple of b and h(y).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 5:06 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124680, -249428, -374176?\nAnswer: -498924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 303, 13, -1.\nAnswer: -4, -1, 9, 13, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -138, 5, -11066.\nAnswer: -11066, -138, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 1. Let q = 35 + -36. Let t be r(q). Let k = 120 - 123. Which is the biggest value? (a) t (b) 4\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 14*s**3 - 2 + 3*s**4 - s**4 - 15*s**3 to the form d*s**3 + v + a*s**4 + b*s + f*s**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1658*a = 1653*a + 42, 9*s + 0*a + 3*a - 42 + 24 = 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1105423 = -199*c + 8711844. What are the prime factors of c?\nAnswer: 49333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098065365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -106.11.\nAnswer: -212.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(119)\/sqrt(63) - (3*sqrt(17) + 3)) - (-2 + (sqrt(102)*-2*5 - sqrt(102))\/(-1*sqrt(294))))**2.\nAnswer: 178*sqrt(17)\/21 + 135098\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(110) - (sqrt(110) + sqrt(110) + -1*sqrt(110)*-1))*-3)\/((sqrt(20)\/sqrt(2) - sqrt(10))*6 - -2*sqrt(250)))**2 + 0.\nAnswer: 99\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5619 take away 1?\nAnswer: -14.5619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:07 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2011 + -1436. Let x = -276 + s. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1533 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 4 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -19\/7 + 18\/7*s + 1\/7*s**2 = 0?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + 67*c + 129. Calculate the remainder when n(-14) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 304 + -3?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 28*v**3 + v**3.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - o**2 + 2*o - 2. Let d(w) = 3*w**3 - 3*w**2 + 4*w - 5. Suppose -231 = -3*u + 2*u - 235. Give u*d(k) + 10*v(k).\nAnswer: -2*k**3 + 2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -759*f**2 + 16*f - 1. Give l(1).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293716*c = 293643*c + 4526 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -5, 1\/4, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -19 - (-37 + 64)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/95 (b) -10\/11 (c) 16.7535\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (119\/7 - 5))\/(14 - -5).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g + 17*g - 2 - 2*g + 2*g + (-g + 0*g - 3*g)*(-3 + 1 + 4) as l*g + u and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.033 + -0.033. What is the nearest to -0.1 in -1, 3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7. Let q = 2 - x. Suppose -o + 84 = q*o. What is the greatest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -8\/3*r**3 + 4*r + 9\/2*r**2 + 1\/4*r**4 - 2. Let o be l(7). What is the highest common divisor of o and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 + 408. What are the prime factors of r?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) 19 (c) 0.3 (d) 7 (e) 1 (f) -45\/2 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*d*g*p**3 + 74*d*g*p - 10*d*p**2 + 91*d - 10*g*p**3 + g - 5976*p**3 + 98 wrt p.\nAnswer: 822*d*g - 60*g - 35856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3438*x**2 - 6877*x**2 - 163*x**3 + 3439*x**2.\nAnswer: -163*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 24 + 12 = 2*b, -3*f + 27 = -2*b. What is the units digit of (106\/3)\/(0 - (-3)\/f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 70 = 2*z. Let o be ((-10)\/2)\/((-2)\/12). Let c = -25 + o. What is the greatest common divisor of c and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by -3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, r: 7}. What is prob of sequence rrmm?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 4:43 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524.71 hours to milliseconds.\nAnswer: 1888956000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 2:22 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -224 - -1b0333?\nAnswer: 1b010b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -1039, -2211, -3833, -5899, -8403, -11339?\nAnswer: -14701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 a factor of 4674359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (423\/(-1269))\/(3\/((-27)\/(-2)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65613 rounded to the nearest 1000?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10122*q + 88 + 74 = 10104*q. Is q greater than 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*n**2 - 1 + 3*n + 368*n**2 + 74 + 819*n**2 wrt n?\nAnswer: 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6070a5 (base 14) to base 6\nAnswer: 153325053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2619841, -2619914, -2619989, -2620066, -2620145, -2620226, -2620309?\nAnswer: -2620394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 0 + 0)*(-3*y + 3*y - y) + 2*y**2 + 2*y - 2*y - 2*y**2 + 4*y**2 + 0*y**2 + 4*y**2 - y**2 - y**2 - 1 + 1 + y**2 as b*y**2 + a + t*y and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 73, 67, 49, 13, -47?\n\"Answer: -j**3 + 3*j**2 - 2*j + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*h - 8 = 3*k, 11*k + 12*h = 8*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -479*t + 568. Let u(g) = -5778*g + 6817. Let r(q) = 50*a(q) - 4*u(q). Differentiate r(o) wrt o.\nAnswer: -838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 139*x**2. Let n(a) = -92*a**2. Calculate g(n(b)).\nAnswer: 1176496*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148772 - 148780.5207. What is r rounded to one dp?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4232133 and -1.510249?\nAnswer: 4232131.489751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1056866 and -1056875 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12*u**2 + 23*u**2 - 3.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23490)\/2900 - (-1 + 40\/(-25)))*120\/(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 338.6 and -0.2.\nAnswer: -67.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Let q(i) = -i**3 - 4*i**2 - 2*i + 1. Let v be q(z). Let f = v + 2. Solve -10 + f = 3*w + n, -12 = w - 4*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + -4 + 2 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**6\/30 + 3*s**5\/5 - 61*s**4\/12 - 42*s**3 - 90*s**2 + 8919*s. What is p in d(p) = 0?\nAnswer: -15, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3315043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8*w, 5*w - 1338 = 3*z. Let c be (2\/((-36)\/z))\/(-17). Let p = c - -21\/17. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158760 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1. Let i(s) = -2 + 3*s + 0 - s - 12. Let j be i(6). Let z(t) = -t - 1. Let r(p) = j*z(p) - 3*m(p). What is r(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**2 - 3*g**2 - g**3 + 0*g**3 + (3 + 1 - 3)*(g - 2*g**3 - g) in the form j + u*g**2 + y*g**3 + f*g and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 4*z**2 + 2*z**2)*(-2*z - z + 4*z) - 13*z**3 + 29*z**3 - 4*z**2 - 26*z**3.\nAnswer: -12*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/2*12\/8. Suppose -j = 3*q - 39, -2*j = -j - z*q - 21. What is the highest common divisor of j and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 644.2022 and -1304.7436?\nAnswer: 1948.9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:20 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x - 9593 = 161*x - 368*x for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51 + 6650485?\nAnswer: 6650434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (71 - (36 + -40 + 31))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -17 + (0 - (10 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5998 (base 10) in base 16?\nAnswer: 176e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2. Let s be 1 - 8\/4 - -4. Let d(c) = -3 + 0 + s + c**2. Calculate d(z(u)).\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5363 * -0.3.\nAnswer: 1608.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25773190 divided by 1.\nAnswer: -25773190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s**2 + s + 2. Let x be w(-2). Solve -2*r = -8, -x*t = -0*t + 2*r - 28 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306974 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 546262655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1337615 litres to millilitres.\nAnswer: 133.7615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 251, 485, 719, 953, 1187, 1421?\n\"Answer: 234*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-4 + 3)*(-87)\/(-696). What is the third smallest value in -2, a, 2457?\nAnswer: 2457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:01 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 1\/7, -0.2, 4220, -3\/4, -6 in decreasing order.\nAnswer: 4220, 1\/7, 1\/9, -0.2, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, a: 5, l: 3}. Give prob of sequence ua.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6b40e (base 15) to base 11\nAnswer: 213878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183*y + 5890 - 5890)*(-2*y**3 + 3*y**3 - 3*y**3)*(0 + 3 + 3)*(4 - 2 - 4).\nAnswer: 4392*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 4*c**2 + 4*c - 2. Let n(v) = 7*v - 1 + 9*v**2 + 2*v - 4 + 3*v**3. Give 2*n(x) - 5*w(x).\nAnswer: x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.02, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 11*g - 1. Let l be t(11). Let f be l - (1 + 0\/(-3)). Let b(p) = -44 + p**3 - 2*p**3 - 8*p + 11*p - 2*p**2 + 45. What is b(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 120*h + 121. What is w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 417\/4. Suppose -5*r + 4*r = 30. Let s = r + 28. Which is smaller: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 584.2*0.5\nAnswer: 292.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -385833.\nAnswer: -2\/385833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -48 (b) -42\/37 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u + 24. Let p(c) = -c - c**2 + 3*c - 7*c + 6. Let q be p(u). Solve q = -5*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v + 2*p, 0 = -v - 2*v + 4*p + 15. Let u = v + -5. Let a = 5 + -10. Sort 1, a, u in decreasing order.\nAnswer: 1, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125526.801 - 0.3?\nAnswer: -125527.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*j + 3*w, 4*w + 20 = -j + 1. What is the remainder when (-14)\/j*72\/14 is divided by (-156)\/8*(-4)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.731 * 84.28\nAnswer: 61.60868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -139, -487, -1173, -2311, -4015?\n\"Answer: -19*d**3 + 2*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 + -0.26\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 535 divided by 1163220\nAnswer: 107\/232644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {r: 1, f: 1, c: 1, i: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -35*f - 425. Determine i(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -15. Let f = c + -13.0000047. What is f rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -760 divided by -95?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 564 - 629 = -18*k, -4*k + 5*n = 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, i: 2, o: 2}. Give prob of sequence aoio.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, 1, 25, 59, 103?\n\"Answer: 5*r**2 - r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 7*u + 13. Let k be i(10). Let o be k + 6*(-5)\/10. Suppose o = 4*c + 4*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t. Suppose t = j - 3. Let u be -12 + 2\/((-22)\/(-143)). Solve -j*n = -4 + u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b**(2\/5))\/(b\/(b\/(b\/(b*b**4)))*b\/b**(1\/3)) assuming b is positive.\nAnswer: b**(119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*t**2 - 1323*t**2 + 654*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*y + 33 + 14 - 87*y)*(2*y + 4*y - y).\nAnswer: 20*y**2 + 235*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7664 and -6133?\nAnswer: 47003312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34520172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - b7310?\nAnswer: -b7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 333 + 10329.\nAnswer: 10662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3998\/21 or -190?\nAnswer: -3998\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 89, 73, 35, -31, -131, -271, -457?\n\"Answer: -w**3 - 2*w**2 + 13*w + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inici. What is prob of sequence ci?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 267.\nAnswer: -3, -1, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 47 - (-2 + 0 + 14 + -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a + 793 = 0. Let k = a + 1515\/2. Find the common denominator of 85\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -y - 3*y + 2*j, 8*y + 5*j - 754 = 0. Calculate the remainder when 414 is divided by y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3452 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -27*v - 3 + 5 + 1. Let d(j) = 54*j - 7. Let i(u) = 2*d(u) + 5*s(u). Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -43*l - 5. Let k be a(-4). Suppose 0 = 5*i - 33 - k. What is the greatest common divisor of i and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q*q**(-2\/3))**(2\/3)\/(q**(-2)*q*q*q*q**(-9))**2 assuming q is positive.\nAnswer: q**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 8. Let n(j) = 1. Let f(b) = 2*n(b) - v(b). Let x = -535 + 529. Let u be f(x). Sort 2, u, -4 in ascending order.\nAnswer: u, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 73\/(((-4)\/3)\/(48854\/273)). Let o = m + 9791. Find the common denominator of o and -89\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.002 - 3.002. Which is the biggest value? (a) 3\/4 (b) 2 (c) -2\/29 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10521264 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406 + 406 - 1217 - 2*f**2 + 405.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 26960.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 14 = 13*l. Let h be ((165\/6)\/(-11))\/(l\/4). Find the third derivative of -13*j**h - 14*j**6 + 3*j**5 - 19*j**2 + 10*j**5 wrt j.\nAnswer: -1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x + 88. What is the tens digit of n(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 9, z: 11}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-147))\/(58\/(-406)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 106 + (-11)\/(55\/(-20)). Suppose -5*t + 4 + 6 = 0. Suppose 0 = t*b - 46 - m. What is the highest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161141554 or 161141557?\nAnswer: 161141557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.5 (b) 0 (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let j(g) = 41*g - 6. Let l(q) = -1. Let c(w) = -j(w) + 3*l(w). Determine z(c(y)).\nAnswer: -3362*y**2 + 492*y - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 - 279.64. Let p = n - 0.36. Let l = 7.5 - p. Which is the biggest value? (a) -10\/3 (b) -1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0)*874\/874.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1530)\/(-2295) - 7\/6*(-19)\/(-28).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5 (b) -0.81208 (c) -0.2 (d) -0.3 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (552\/161)\/((-232)\/3654)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/7 + 54022*u\/7 - 729594121\/7 = 0. Calculate u.\nAnswer: 27011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2380824 is divided by 1190382?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1081 - 135*x - 23427*x**4 + 132*x + 22618*x**4 wrt x.\nAnswer: -3236*x**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-75))\/((-2)\/(-4)). Let z = -69 - -72.99. Let i = z - -0.01. Which is the smallest value? (a) d (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -805045?\nAnswer: -1\/161009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23736)\/(-559))\/(-46)*2\/(-2)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21091 - -31669. Calculate the highest common divisor of q and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -9, 2, -79 in ascending order.\nAnswer: -79, -9, 0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 22 = -32 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 570*o**7\/7 - 43*o**3 + 396. Find the third derivative of s(a) wrt a.\nAnswer: 68400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 1 + 2*x**3 - 3*x + x**3. Let n be m(-1). What is the lowest common multiple of 2 and (-61)\/n - (-4)\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5686 minus 1498277208?\nAnswer: -1498271522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85\/366 + -4\/61. Let n be -9 + 2\/(40\/130). Which is the third smallest value? (a) -0.35 (b) n (c) 3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (3 - 0) + 2\/(-2). Sort d, 0, 3 in increasing order.\nAnswer: 0, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 84.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2298611*w - 103459*w - 2270201*w + 604325*w.\nAnswer: -4067946*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 32 = -3*u - 2*u + 3*u, 4*u - 55 = 30*q - 151 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5244 and -41295807.\nAnswer: -41301051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 2*r**3\/3 - 60. Let y(j) be the first derivative of j**3\/3 - 1. Calculate y(l(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 25\/13063211 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1757 times 0.1?\nAnswer: -175.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8\/3, 3, 1\/5, -7, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 62*i - 58*i + 91, 4*p - 231 = -3*i. Determine z so that 9*z**2 - p*z - 3\/7*z**3 + 147 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*g**3 + 557400*g**2 - 445980*g + 89200.\nAnswer: 5*(g + 4460)*(5*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -0.776, -0.49, -0.6 in increasing order.\nAnswer: -0.776, -0.6, -0.49, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgwwc. What is prob of picking 1 c and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -385, 80, 855, 1940?\n\"Answer: 155*d**2 - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - s = 17, 4*u - 3*s - 11 = 7. Let z(q) = q - 3 + u + 2*q + 7*q**2 + 3. What is the tens digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -65\/2. Let j = 0.06 + 0.34. Which is the second biggest value? (a) j (b) p (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 9*b + 5. Let m be x(5). Suppose 4*u - 10 = 3*d + 1, -2*u + m = 5*d. Let l(w) = u*w - 4*w - 2*w + 4*w. Give l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-34465\nAnswer: -103395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {q: 1, y: 2, f: 2, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4113560 + 228717.\nAnswer: 4342277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*v + 130*v - 251*v - 285 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 92 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -4\/3 (b) -0.1 (c) 2 (d) 4\/1849 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6255914 and 8344.\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h**2*k**2 - 2*h**2*k - h**2 - 13*h*k**5 + 2*h*k - 5777*h - 2*k**2 wrt k?\nAnswer: -16*h**2 - 260*h*k**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzqzuzzquzuu. What is prob of picking 2 u?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -58 + 14 + 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 801717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15768 and 1937493?\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.768071mm in centimeters?\nAnswer: 0.4768071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-4)\/(-4 - -2). Suppose -3*h + 3*s + 31 = -71, -p*s = 2*h - 48. Suppose -4*k = 5*d - 40, 3*d = -5*k + 2*d + h. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 3*s**4 - 4*s**4 + (4*s**2 + 0*s**2 - 5*s**2)*(-s**2 + 2*s**2 + s**2) - 104*s**4 - 517*s**4 - 249*s**4.\nAnswer: -871*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 3*l**4 + l**4 + 3*l**2 + (l**2 - l**2 - 2*l**3)*(-4*l + 3*l + 0*l) + (4 - 1 + 1)*(-3 + 1 + 1)*(-l**4 - 3*l**4 + 0*l**4).\nAnswer: 19*l**4 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = -2*y, 3*y - 6*a = -2*a - 20. Suppose 3*p = -5*n + 290, p + y*p - 78 = 3*n. What is the lowest common multiple of 12 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.79 - -130.21. Let z = l + -129.62. Let o = z - 2.9. Round o to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 5. Let m be -1 + ((-1)\/(-1) - 6). Let z be k(m). Let s be (-16)\/(-6) + -1 + z. Which is the closest to s? (a) 1\/4 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + f**2 + 11. What is the remainder when 64 is divided by c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 215 = 1. Let o be (9\/k)\/((-14)\/(-12768)). Round o to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 1583*m**2 - 129 + 46 + 37 + 7888*m**2.\nAnswer: 6305*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58\/63 - -8\/7. Let f = 57.4 - 25.4. What is the second smallest value in -0.4, -0.3, f, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.018 - -0.168. Let c = t - 4.15. Let a(r) = r + 9. Let k be a(-4). Put c, -0.1, k in decreasing order.\nAnswer: k, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.981 - -41. Round x to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 3*j**2 - 4*j + 5. Let w be i(4). Let v = -61 - -99. Suppose g + 0*g + 106 = w*y, 2*y = -4*g + v. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4 + 12. Solve g*y - 2 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*r + 1 - 34, 11 = 4*x + r. Solve 2*f - x*f = -10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(2\/(-16)) + -3. Suppose -b*y + 2 = -3*d + 17, -5*d + 12 = -4*y. Suppose j + 0*j - 251 = d. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 7 (c) 0 (d) 3\/5 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7148837 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 16. Let o = -59 + 53. Let a be p(o). Suppose -10 = -5*k, 2*b + a*b = 5*k + 290. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047912740?\nAnswer: 2, 5, 7, 7485091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-15)\/(y\/(((y\/(y**(-10)\/y))\/y)\/y*y*y)))\/(y**26\/(y*y**5)) assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3086 - -12.918.\nAnswer: 3098.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 5428233915*d + 5428233915*d + 2*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 239, 818, 1953, 3830, 6635?\nAnswer: 10554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 2:09 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053766?\nAnswer: 2, 11, 13, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1051, -4418, -10015, -17836, -27875, -40126?\nAnswer: -54583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 1. What is the least common multiple of 14 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54881 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: Suppose -4*p - 2 = -10. Let j be (p - -2)\/4*5. Suppose -j*f + 28 = -152. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 74 = 18*t + 86 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 * 1.26.\nAnswer: -107.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4\/3 + 67725*h**3 - 609415*h**2 + 3046985*h\/3 - 473970 = 0.\nAnswer: 1, 7, 40626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**3. Let f(i) = -7*i**3 - 1. Let d(j) = -2*f(j) - 3*l(j). Find the first derivative of d(y) wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26524067, 53048140, 79572213, 106096286, 132620359, 159144432?\nAnswer: 185668505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 2*i - 1. Let a be b(-2). Let z be -3*14\/105 - 1152\/(-1755). Is a bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2043255 - 3?\nAnswer: 2043252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 9*d**2 - 8*d + 9. Suppose -10*b = -22*b - 96. Determine z(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:44 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {g: 12, w: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhh when three letters picked without replacement from {i: 1, g: 4, h: 2, b: 3, j: 2, x: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17765669 is divided by 329.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -38.28, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 + 618*g**3 - 2450*g**2 + 3054*g - 1220 = 0. Calculate g.\nAnswer: 1, 2, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 - 189. Suppose b*y = 3*y + 5. Let u be -1*3*(-1)\/3. Solve 0 = o - 2*v - u, -y*o - 5*v - 3 = 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 7) to base 9.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*k - 2882 - 5893. Calculate the highest common factor of k and 945.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 71, 87, 87, 65?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.05, 11, 0.3, -0.11, -2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37.1 - -38.1. What is the third smallest value in w, 2\/19, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3801\/77 - 18424\/376\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45924, 91849, 137774?\n\"Answer: 45925*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -4b?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -17731, 5, 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 2, 0 = -3*h - 8562*n + 8561*n + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 720 + -1439\/2. Let c = -0.39 + -1.61. What is the biggest value in q, c, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 5.7?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y + 1 + 5*y**2 - 33*y + 4 + 16*y + 12*y - 8*y. Let t be (-4)\/(-8) - (-6)\/4. Let l(n) = 4*n**2 - 4*n + 4. What is t*i(q) - 3*l(q)?\nAnswer: -2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 68*a - 50*a - 17*a + 0 + 1 + 0. Let n(j) = -34*j + 1. What is -n(v) + w(v)?\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*p**3 - 218*p**3 + 431*p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -546 or 3237?\nAnswer: 3237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 105.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -619 - -430. Let s be (1111\/44)\/((35\/60)\/(-7)) + 6. Let x = h - s. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (628 - 704 - (0 - -6))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46263033 (base 7) in base 6?\nAnswer: 222442003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzj. Give prob of sequence zjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 1036. Let j = 282 - d. Let s = -117 - j. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 24823608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*a**3 + 310*a**3 + 149*a**2 - 5*a + 2*a.\nAnswer: 2*a**3 + 149*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*(n**(-1\/4)\/n)\/n))\/n**4)\/(n*n*n**(1\/3)*n)**0 assuming n is positive.\nAnswer: n**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (48 - (15 - 21)) + -93\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (138\/(-23))\/((-3)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134\/225 - -1\/25. Let d = 9.72 + -12.7. Let f = 2.88 + d. Which is the biggest value? (a) -4 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q - 6 + 6 + 1 - 31*q**2 + 40*q - 598*q**3.\nAnswer: -598*q**3 - 31*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2254 (base 6) to base 14.\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 86, 35, 16, 41, 122, 271, 500?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 2. Let i be h(-1). What is the derivative of -i + 42 - 3*x - 5*x - 14 wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0)\/((-4)\/6). Let j = 2 + a. Suppose 5*o - j = c + 2, 10 = 4*c - o. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306 (base 16) to base 13.\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2888 = 6278. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f + 198*f + 33012 = -291*f for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5780897 - -182.436626\nAnswer: 5781079.436626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1140 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + 0 - (0 - 1). Suppose 9*h - j*h = -2. Solve 7 + 9 = -v + 5*f, -4*v - 2*f = -h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v + 36. Calculate a(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*j**3 - 3*j**3 - 80*j**3 + (-2*j + j + 0*j)*(-12*j**2 + 8*j**2 + 7*j**2).\nAnswer: -99*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488170, -976339, -1464508, -1952677, -2440846, -2929015?\nAnswer: -3417184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080.8276 rounded to the nearest ten?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 8, -3, -4, -35, 2, 73 in increasing order.\nAnswer: -35, -23, -4, -3, 2, 8, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 109 and 61 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/9))**(12\/13)\/(o\/(o**(5\/4)*o)*o**(-4)) assuming o is positive.\nAnswer: o**(947\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42452.\nAnswer: 2, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2428381 + -2.6?\nAnswer: -2428383.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10651735*b*t**3 + 9710*b*t**2 + 497*b*t wrt t?\nAnswer: 63910410*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97329.49 + 0.2826.\nAnswer: 97329.7726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 159 (b) 1\/7 (c) -0.05 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/63 - -44\/63. Let d = 117 - 117.3. What is the third smallest value in x, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2*q**3 + 13*f**2*q + 300*f*q**2 + 41452*q**4 wrt q.\nAnswer: -18*f**2 + 994848*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 2\/7, 0.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*b - 838 = -26, 0 = 5*n + 4*b - 2037. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 417\/1019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1394.9 - 1396. What is the nearest to 2 in l, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxwhpbxm. What is prob of sequence pwh?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*w + 94, 10*w - 5*d = 7*w - 110. Let x = w - -32. Calculate the highest common factor of x and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 0*t**2 + 3 - t - 4 - t**2 - 2*t. Let l be a(-2). Is 94*l\/((-4)\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 475 (b) -0.2 (c) 4 (d) -1.1 (e) -1 (f) 3 (g) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o - 15 = 0. Let r(b) be the first derivative of b**4 - b**2\/2 - 3*b - 4. Let k(f) = 27*f**3 - 16*f**3 - 2*f - 7 - 1. Determine o*k(g) - 8*r(g).\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 4*f**2 + 9*f**5 - 3*f**5 - 4*f**5 + 5*f**5 + (-f + f - 2*f**2)*(-4*f**3 + 8*f**3 + 17*f**3).\nAnswer: -35*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*c + 13, -2*w - 2*c - 22 = c. Let s(t) = 4*t**2 + 6*t. Let q be s(-4). Is (q\/(-25))\/(1\/w) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39105 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40526104 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 935*z = 939*z - 20. Which is the second smallest value? (a) 3 (b) 0 (c) z (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58212752 by 52.\nAnswer: -1119476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 13784.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m + 2*m**2 - 5*m)*(-5*m - m + 4*m) - 28*m**3 - 3*m**3 - 13*m**3 to t*m + a + k*m**3 + j*m**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 2329990?\nAnswer: 16309930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 4*j - 10. Let c be x(0). Let r = 3 + 5. Let a be (2\/5)\/(-1 - r\/c). Sort -3, 0, a in increasing order.\nAnswer: -3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*w - 29, 8 = 3*g - 2*w - 5. Let s be (288\/8)\/(-9)*(g - -2). Is (5\/2)\/(42\/s - -4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - -25. Suppose -3*d = -w + 122, 0*d + 461 = 4*w - 3*d. Let y = q + w. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*-2*0. Let s be (n + -2)\/(4\/6). Let q(f) = -f**2 - 2*f - 3. Let t(z) = 7 + z**2 + z**2 + 8*z - 3*z. Calculate s*t(j) - 7*q(j).\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ed3b9 (base 16) to base 14.\nAnswer: 11650b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 31*m**2 - 4*m - 4. Let b be 5*(-5 + 0 + 4). Is a(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 85*b**2 + b - 2. What is l(1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 2, j: 9, h: 1, g: 7}. What is prob of sequence ll?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 130, 132?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-15))**(-2\/159) assuming a is positive.\nAnswer: a**(10\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by -76.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/26, 15033\/8, 49.\nAnswer: -1\/26, 49, 15033\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from det. Give prob of picking 1 t and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -366927?\nAnswer: 36692a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 56\/(1680\/(-495)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 143541634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*q + 110 = 0, u - 5*q + 13 = -9. Let w = -12 - u. What is the remainder when 49 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w + 12 = 54*w. Which is the third smallest value? (a) w (b) 4 (c) -1\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -23.\nAnswer: -28\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 1\/6*h**4 + 0*h**6 - 1\/14*h**7 + 0*h**2 + 0*h**5 - 5*h + 0 + 0*h**3. Find the third derivative of o(k) wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*i - 39 - 55, -4*i - 4*p + 80 = 0. Suppose -4*f + 124 = -4*b, 6*b = -3*f + b + 61. Calculate the highest common factor of i and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*m + 8, -m - 22 = 5*z - 4. Solve 0 = -5*c + 3 + m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.025, 2\/5, -3, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13760 divided by -5.\nAnswer: 2752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 234, 287, 340, 393, 446?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -194, -666, -1586, -3104?\n\"Answer: -25*c**3 + c**2 - 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 3.27 in decreasing order.\nAnswer: 3.27, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339751048 divided by -40924.\nAnswer: -8302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**3\/3 + 3*q**2 - 9*q - 3. Calculate r(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 18. Let y = -58 - o. Let z = 29980.5 - 29981. What is the third biggest value in y, -2\/9, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 3. Suppose -12*z + f = -30. What is the closest to -2\/5 in -1, z, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 2\/21 (c) 0.028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177.7510224ns to weeks.\nAnswer: 0.0000000000002939005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1508 divide 8215061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 13*u - 4. Let b(d) = -5*d**2 + 17*d + 4. Let r(t) = 2*b(t) + 3*g(t). Give r(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/133 + 205\/2394. Calculate the common denominator of 14835\/(-2838)*1\/5 and x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.078370113 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-14) + 9\/2. Suppose q + 3*f + 0 = 15, 0 = q - n*f + 9. Let c be 4*3\/(-6) - -6. Solve 0 = -4*m + 4*k + 12, 4*m + 3*k - c*k + q = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12\/16*206)\/(-27) and (-2900)\/(-72)*3\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00780148 to four dps.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 2*n + 7. Let q = -10 - -16. Let o = q + 0. Is g(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1494 and 32702?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 5*s. What is v(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.113 + -0.223. Let d = -7.2 + t. Let k = d - -5.31. What is the closest to 1 in 1, k, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*f**4 - 6021917*f**3 + 2*f**2 - 319692169*f.\nAnswer: 264*f - 36131502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 173*y - 170*y + 353*y.\nAnswer: y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -1*1)\/(100\/(-1200)). Let w be -2*((-18)\/24 + (-39)\/t). Let m(i) = -i**3 + 7*i**2 + 10*i - 13. Determine m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**4 + 124637253*q**3 - 537*q**2 + 290122?\nAnswer: 24*q + 747823518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 687730*j + 23648627645.\nAnswer: 5*(j + 68773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2562225 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 11310?\nAnswer: -11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.286 + -0.2859983. What is h rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 5*q - 4*o + 53, -4*q + 3*o = -30. Let t be 2 - (2 + 1)*-1. Let c = q - t. Put c, 3, 1 in increasing order.\nAnswer: 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414305535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 4*p**2 + 2*p**2 - 3*p**2 + 31*p**3.\nAnswer: 31*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1563060 and -71\/211534120.\nAnswer: 634602360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10 + 0*d**2 - d**2 - 12*d + 3*d + 2*d**2. Let x be r(10). Solve 3*g + 18 = 2*m, x = 2*g + g + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3323, -13282, -29875, -53096, -82939, -119398?\n\"Answer: t**3 - 3323*t**2 + 3*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*u - 5 = -4, 0 = -5*s - 5*u + 55. Let k(w) = 2*w**2 + w - 50*w**2 + 2 - 20*w**2. Let y be k(s). What is y rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 341*r - 7162. Let x be c(21). Let j(t) = -t**2 + t. Let u(d) = 2 - d**2 + 2 - 5*d - 5. Determine x*u(w) - 4*j(w).\nAnswer: 5*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32120025 + -2?\nAnswer: -32120030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 11825 - 11825.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120220022221 (base 3) in base 12?\nAnswer: 564274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 23*c**2 + 5*c - 2*c - 11*c**2. Let f be p(-2). Let h be (-12)\/f + (-2)\/(-7). Solve 2*x + 0*x - 4 = h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-38) - (-35380)\/(-2755)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292 divided by 73.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 2, -9\/524, -10?\nAnswer: -9\/524","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 30 = 2*g. Let o = g - -10. Let a(k) = 3*k**2 + 17*k - 110. Let x be a(4). Solve -o*q - 2 = -x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 98 = -62. Solve 0*v + u*v + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 130. Let m be 4\/6*6\/56. Is m greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) -0.17 (c) -29 (d) -2 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obbp when four letters picked without replacement from {w: 1, p: 2, b: 3, h: 1, i: 4, o: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2 + 6 + 828*g + 259*g - 6 + 315*g**4 + 3*g**2 wrt g?\nAnswer: 3780*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 547271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + (20 - 19) + -1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16*k + 293. Let a be x(16). Let q = -7 - -15. Suppose -q = -a*g + 35*g. Solve -2*d + m = -1, 4*d + 8 = 8*d + g*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16849275 divided by -25.\nAnswer: 673971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -104 (d) 1.2 (e) 0.3 (f) 63\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/64 + 73\/192. Which is the third smallest value? (a) 0.2 (b) d (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 559\/8. Is h >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2 - 6472428*d - 38834712 = 0 for d.\nAnswer: -6, 1618113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 39 = 3*m, -7*j - 191*m + 192*m - 1 = -10*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115029203.\nAnswer: 101, 661, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 8*i**2 + 3*i + 7. List the prime factors of h(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/10 + -3 + 2\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -422.4?\nAnswer: 430.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.71 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2. Let z(r) = -26*r. Determine t(z(g)).\nAnswer: -2028*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*k - 97*k + 6299 + 2043 = 590 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37 - 1.205\nAnswer: -38.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/113047199?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6485 or 6462?\nAnswer: 6485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5022 (base 6) to base 9\nAnswer: -1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 33*q**2 - 17*q + 2. Let r(p) = -11*p**2 + 6*p - 1. Let z(o) = -17*r(o) - 6*w(o). Differentiate z(x) wrt x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*n + 3)*(5*n - 2*n - n)*(-n + 4*n - n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1976 + 1981. Which is the fourth smallest value? (a) 0.1 (b) -5 (c) -3\/5 (d) -0.01 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -15 + 45. What is the lowest common multiple of 3 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.013 + -23.987. Let q = 17 + d. Let b = q - -7. Put 2\/3, -0.5, b in increasing order.\nAnswer: -0.5, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*3\/(-6)*2. Let r(b) be the first derivative of i*b**3 + 1 + b**3 - 5*b**3. Factor r(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1219.0812 months?\nAnswer: 0.1015901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 24*g + 8. Let n(c) = 7*c**2 + 14*c - 15. Let p(y) = -20*y**2 - 41*y + 43. Let w(i) = -17*n(i) - 6*p(i). Determine 3*d(b) + 8*w(b).\nAnswer: 2*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*d = j - 2, -4*j - 4 = 4*d. Let c(x) = -x**2 + x - 2. Let b be c(0). What is the nearest to 0.1 in j, -1, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*k + 585*k - 1173*k + 249 - 249.\nAnswer: -37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 16834.\nAnswer: 16834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7631.8614 to the nearest one hundred.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 n when four letters picked without replacement from donoznlodloooooz?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30704040 divided by 1479.\nAnswer: -20760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 21.987699 months?\nAnswer: 0.00183230825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2172 divide 1655639580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 7) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(1900) + -1 - (2 + (2*sqrt(1900)*2)**2).\nAnswer: -30410 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 163*p**6\/120 - 62*p**5\/15 - 9*p**2 + 10*p. What is the third derivative of l(m) wrt m?\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -247, -493, -731, -955, -1159, -1337?\n\"Answer: h**3 - 2*h**2 - 247*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q + 1. Let i(j) = j**2 - 4*j + 3. Let g be 1 + (2 - 3 - -2). Let z be i(g). Give t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179579.\nAnswer: 179579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5.3. Let i = -15 + 14. Let g be (-8)\/28 + 52\/(-14). What is the closest to g in i, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/3280*32)\/(1\/2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x. Let c be q(0). Suppose -d + 3*f + 5 = 0, c*f + 12 = 4*f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c - 339. Round c to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 25450*u + 1334805.\nAnswer: 5*(u + 53)*(u + 5037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 244*t. Let r = -33 - -38. Let j be m(r). What is j rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.013 - 0.313. What is the third biggest value in 0, -2\/3, -1\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 3. Let s be a(1). Let j(b) = 8*b + 42. Let w be j(s). Solve w*q - 9 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44 + -3a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1896, -3, 559?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275310233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngnjggnene. Give prob of sequence jn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1486 = -37*d + 35*d. Let q = 1261 + d. List the prime factors of q.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 9481*p - 66416.\nAnswer: (p - 7)*(p + 9488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40229284 to the power of 1\/2, to the nearest integer?\nAnswer: 6343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -125 - 275. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144 is divided by 420.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s**3 - 8*s**2 + 3*s - 2. Let w be p(3). Calculate the greatest common factor of 2145 and w.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/19 + 12213360*k\/19 - 12213362\/19 = 0. Calculate k.\nAnswer: -6106681, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 128 + w + 4*w - 7*w.\nAnswer: -w**2 - 2*w + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -834\nAnswer: 7\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 1 (c) 1\/10 (d) -18409\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*a + 949*d - 950*d + 423, -2*a = -5*d + 24 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -139*w - 8406. Give i(-59).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let i(m) = -1501*m + 18969. Determine d(i(k)).\nAnswer: 1501*k - 18969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:51 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -337, -321, -291, -241, -165?\n\"Answer: s**3 + s**2 + 6*s - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Let z(v) = -v**3 + 3*v**2 + 5*v. Let p be z(b). Differentiate -p*y**2 + 3*y**2 + 4*y**2 - y**2 + 2 wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 1\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 31?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -179\nAnswer: 17.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10475 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 - 56. What is the highest common divisor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s - 988 = 0. Suppose n = 5*r + 283, -1026 = -5*n + 4*r + s. Suppose 5*o - 2*a - 1047 = 0, 4*o + a = 540 + n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-4)*w**(2\/13))\/((w*w**6*w)\/w**(-4)))**(-30))**(-34) assuming w is positive.\nAnswer: w**(-210120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2. Let i(r) be the first derivative of 3*r**2 - 62*r + 888. Give i(h(z)).\nAnswer: -18*z**2 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 131*l**2 + 679*l + 20. Let b be v(-5). Solve -3*w - b = -5*z, -19*w - 5 = -z - 14*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y + 17*y + 19*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.511 - 0.519. Let t = f - -8. Let m = t + 0.53. What is the nearest to 0.1 in 0, -0.1, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (3 + -7) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m - m)*(0 + 2 + 1)*(8 - 2*m**3 - 38 - 2*m + 3*m**3) in the form z*m**2 + t*m**4 + a*m**3 + n + y*m and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 18 + 9. Suppose 0 = m*b - 2*b - 19. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100100011 (base 2) in base 14?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 261735*g**2 - 3425391375*g + 3425129645.\nAnswer: -5*(g - 26173)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83461568.\nAnswer: 2, 17, 41, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13671*p**3 - 2*p**2 - p - 480853 wrt p.\nAnswer: -41013*p**2 - 4*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 0*i + 0*i**3 - 13 - 55\/4*i**4 + 4*i**2. What is the second derivative of m(s) wrt s?\nAnswer: -330*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 353892 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(231)\/(sqrt(14)\/sqrt(2)) + 3*(sqrt(33) + sqrt(528)))\/(4*sqrt(11)*-3*-6) + 1)**2.\nAnswer: -23\/27 + 4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.1363.\nAnswer: 0.05452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 98*g + 357. Let r be w(0). What is the greatest common divisor of r and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7199\/12 less than or equal to -601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(931)*-1 - 4*(-2*(0 + sqrt(19)) + sqrt(19))**2.\nAnswer: -28*sqrt(19) - 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 34 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3 - 3 + (7*v - 2*v - 2*v)*(v + v - v))*(0*v**3 + 2*v**3 - 4*v**3).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33\/((-2178)\/9812)*(-208 + 1)?\nAnswer: 2, 3, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -172, -1 in ascending order.\nAnswer: -172, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4366 - -69911\/16. Let o be (-10 - -4)\/((-52)\/(-1026)). Let u = o - -44077\/390. Find the common denominator of x and u.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1458\/(-132) - -11)*-4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 322 - 256. Does 16 divide (0\/4 - (j - 2))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/22*(-8855)\/(-8050).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 12 = 1. Suppose -l = -106 + g. Let h = l - 62. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*x**3 + 157*x**3 - 284*x**3 + 224*x wrt x.\nAnswer: 174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1407, -2632, -3679, -4458, -4879, -4852, -4287, -3094?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**4 + 19*f**4 - 3*f**2 + 6*f - 29*f**3 - 8*f to t*f**4 + m + h*f + a*f**3 + v*f**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/83, 16\/325, -4538 in descending order.\nAnswer: 16\/325, -2\/83, -4538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*y = -x - 5, -y = 3*x - 20. Let u(c) = -c**2 - c - 2*c + 7*c + x*c. Let q be u(9). Solve -4*n = -8 - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57319 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: What is the value of (-26 - (14 - 48)) + 9 + 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1 from -14230067.4.\nAnswer: -14230068.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/40*(-2 + 6\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x. Let i(h) = 4*h - 40. Let b be i(-7). Let c = 94 + b. Let t(q) = -13*q + c*q - 12*q. Give d(t(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/5 + 397*x**3 - 17763*x**2\/5 - 8297*x - 21736\/5 = 0?\nAnswer: -1, 11, 1976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/20470555 and -61\/280.\nAnswer: 163764440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g**2 + 4*g - 2. Suppose -4 + 2 = -2*c. Let v be i(c). Solve -7*n = -11*n + v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3143, -3146, -3151, -3158, -3167, -3178?\n\"Answer: -l**2 - 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*u + 0 + (-1 + 3 + 1)*(25 + 31 - u - 61))*(704 - 704 + 14*u) in the form p*u + l*u**2 + k and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -374.0000195 + 374. Round b to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-70)\/9)\/7)\/((-64)\/288). Solve 4*t + 14 = 3*l, l + m*t + 27 = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011100001010001001 (base 2) to base 4\nAnswer: 3130022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a century in decades?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 5*j + 18. Let q be z(-2). List the prime factors of 201 - -34 - (q - 0).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -0.6, 1\/6, -6.9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooooqqooqqqo. What is prob of picking 4 q?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 + 2*w - 7. Let n be o(-3). Sort 1, -17, n.\nAnswer: -17, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34184 + 47395 - 48199)*(-2*n**2 + 5*n**2 - 2*n**2) to the form x*n**2 + c*n + k and give x.\nAnswer: 33380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 79*j + 1182. Calculate n(-27).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 5862*m**2 + 542016*m - 12842496.\nAnswer: 3*(m - 1858)*(m - 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9*(-1773)\/6. Let i = 403 + g. Is 5\/(-10) + i\/4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3\/5 + 1608*j**2\/5 - 4*j\/5 - 1608\/5 = 0. Calculate j.\nAnswer: -402, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 27*i + 4. Determine t(27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2433, 3095, 3757, 4419?\n\"Answer: 662*z + 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*g**3 - 4 + g + 16 - 23*g**3 to the form m + y*g + u*g**3 + j*g**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -58303394?\nAnswer: 58303394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n)\/n)**(-12\/11)*(n\/(n\/(n*n*n\/n**(2\/5))*n))**23 assuming n is positive.\nAnswer: n**(1844\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -3114?\nAnswer: -3113.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2470 = 4*o, -3*o - 4 = 11. List the prime factors of l.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4\/(-30) - 17\/(-51).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110010100 (base 2) in base 13?\nAnswer: -2082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*k + 389868 - 385752 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5992999396.\nAnswer: 2, 83, 941, 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 - 186*r + 109*r - 108*r - r**3 - r**4 to y + h*r**2 + z*r**4 + i*r + m*r**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1011110001?\nAnswer: 1011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 2*p + 16 = -0*a, -3*a = -3*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224837, 899417, 2023719, 3597743, 5621489?\nAnswer: 8094957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 28140*a - 28135*a - 80, -4*a + 116 = -5*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvovoodo. What is prob of sequence vvov?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 7*g + 3. Let o be p(-7). Suppose o*j = 4*j. Suppose 2 + 2 = 2*l + 4*w, j = 5*w - 10. Sort l, 0.3, -3 in increasing order.\nAnswer: -3, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(2 - (-13)\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81833263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2964915 and -107\/2635480.\nAnswer: 23719320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 272*c**2 + 10*c + 10. Let r be d(-1). Let g = r - 283. Suppose j + 0 = -2. Let z(v) = -6*v**2 - 11. Let b(y) = y**2 + 2. Give g*b(n) + j*z(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 32 - 17)*(0*s + 0*s + s) + (0 - 1 - 2)*(-4 + 4 + s) - 3 - s + 3.\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3242802?\nAnswer: 2, 3, 43, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -762939.1 and 16.\nAnswer: -762923.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 519536, -1, -4 in descending order.\nAnswer: 519536, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-16)*-4*241. Suppose c = 4*t - h, -16 + 20 = -4*h. Is 57 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/120 - 7*p**5\/60 + p**4\/12 - 2*p**3\/3 - 6*p**2. Suppose -3*i + 6 = 22*i - 144. What is o(i)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - m - 122*m - 173*m)*(5*m - 5*m + 2*m).\nAnswer: -574*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-8)\/4 - 0. Let n(k) = -5*k**3 - 2*k**2 - 8. Let p(z) = -9*z**3 - 4*z**2 - 15. Let w(o) = b*p(o) + 7*n(o). Calculate w(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 4:24 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 138. Let n = -127.7 + w. Round n to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 33 = -39. Let i be 4 - (3 + o) - 0. Let k = -13 + 8. Sort k, 11, i in descending order.\nAnswer: 11, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -n - 21, -5*g = -3*n - 7 - 16. Put 2, 4, n, 1 in descending order.\nAnswer: 4, 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132*y**3 + 1376\/7*y**2 + 236\/7*y**4 + 228\/7 - 914\/7*y - 2\/7*y**5.\nAnswer: -2*(y - 114)*(y - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068.5225 months in decades?\nAnswer: 17.2376875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16421687 rounded to 4 decimal places?\nAnswer: 0.1642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, c: 9}. What is prob of sequence ccw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 10140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 18 + 87)*(0*b - b**4 + 0*b + 0*b**2 - 3*b**4 + 0*b**2 + (-b + 2*b**3 + b)*(5*b - 3*b - 3*b) + 0*b**2 + b**4 + 0*b**2).\nAnswer: -320*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.5042 - -4.9042. Suppose -2*h - 75 + 21 = 0. Let j be (-9)\/h - 11\/6. What is the third biggest value in j, 3, -2, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(16\/12)*5\/(150\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289644146 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17090, -17293, -17496, -17699?\nAnswer: -17902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 not equal to 24.409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/8)\/(3\/(-36)). Let d = 4 - v. Sort -4, d, -2.\nAnswer: d, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 9*w + 190. List the prime factors of w\/((6 - 13) + 6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1200.3 + -1200. Let f = 28 + -33. Which is the second biggest value? (a) 315 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45675 + -2081156181?\nAnswer: -2081110506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14958 divided by 20029\nAnswer: -14958\/20029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.1. Let s = 1.2 - 4.2. What is the nearest to 2\/3 in 1, r, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**4 - 33129*b**3 + 964104*b**2 + 9302256*b + 19663872 = 0?\nAnswer: -11072, -4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5514864 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 58*f + 251 = -6*i + 62*f, 3*f - 1221 = 45*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*p - 2*p. Let r be (15\/p)\/((-2)\/4). Solve 10 = -i - v, i - 2*i = 2*v + r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 16. Let i be u(14). Suppose 3*f - z + 13 = 0, 0 = -3*f + i*z - 11. Let r = -2860\/9 + 318. Which is bigger: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/4 + 3*t**2 - 5*t. What is the derivative of u(v) wrt v?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 43568.859236432.\nAnswer: 43569.259236432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1 - 1 + 3*q + 3*q - 8*q. Let o(t) = -4*t + 5*t + t. What is m(o(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-11) + (-2)\/11. Put i, 6, -5 in decreasing order.\nAnswer: 6, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89 - -11c9?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6064319977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.2 - 38. Let q be -5 + 3 - (-1)\/((-35)\/(-65)). Which is the third biggest value? (a) 2 (b) 0.4 (c) q (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4822160 is divided by 1607383?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*d + 157*d + 152*d - 27508 = 0. Suppose -y - 55 = -6*y. Calculate the remainder when d is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -6*r + 1\/30*r**4 + 1\/10*r**3 - 1\/50*r**6 + 1\/10*r**2 - 1\/50*r**5 + 0 - 1\/210*r**7. Factor n(s).\nAnswer: -(s - 1)*(s + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -47, 0.1, 45932?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -7*w - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3 + 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12233511 divided by -5?\nAnswer: 12233511\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3805759l to millilitres.\nAnswer: 380.5759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100) + (sqrt(100) - ((sqrt(100) - (sqrt(100) + (sqrt(100) - sqrt(100)*-1*-5 - sqrt(100)))) + sqrt(100) + sqrt(100)) - sqrt(100)))\/(2*sqrt(162)).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**23*j)\/(j*j**34)*j**(-31)\/j*(j**(4\/11)*j*j*j)\/j assuming j is positive.\nAnswer: j**(-447\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83 + 72*w**2 + 85 + 134*w**2 - 310 - 48*w**2 wrt w?\nAnswer: 316*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/519 in 1\/3, 6, -4, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -12*v - 4. Let f be b(-3). Suppose 0 = 4*n + 2*w + f, 4 = w - 3*w. Calculate the remainder when 170\/7 - (-2)\/n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 82 = -4*r. Let o(p) = 140*p - 29. Let y be o(0). Let u = y + r. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f + 138. Let t be m(-7). What is the highest common factor of t and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9360008065 - 2.936. What is i rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -43*n - 601. Let b(o) = -32*o - 602. What is 4*b(j) - 3*i(j)?\nAnswer: j - 605","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 2, o: 2, y: 4}. Give prob of sequence yovv.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*i + 27 = 0, -32*w - i = -33*w + 3. Solve w*z - 4*z + 14 = -4*q, -25 = 3*q - 5*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 0*i + 0*i**4 + 0*i**2 - 1\/6*i**6 + 27\/5*i**5 + 109\/3*i**3 - 140. What is the third derivative of a(l) wrt l?\nAnswer: -60*l**2 + 648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 3 + 0*q + 1\/15*q**6 - 6\/25*q**5 + 1\/5*q**4 + 0*q**2 + 0*q**3. Suppose v(j) = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 - 6*i**2 + 8*i + 6. Let t(c) = c**3 + c - 1. Let x(s) = j(s) + 2*t(s). Let y = 17574 + -17581. Calculate x(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/32*(-1)\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 - 4156374789?\nAnswer: -4156373435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 765 + -661. Calculate the highest common divisor of f and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 1:01 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.016 + -4.984. Let f = 0.07 + -3.07. Let k = f + 5. Which is the closest to k? (a) i (b) 4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - -18.66. Round c to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 22, -72653, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*b**4 + 6*b**5 + 11*b**4 + (-622*b - 8*b**4 + 622*b)*(-6 + 6 - b).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 56*x + 5. Let m be h(0). Sort m, 1\/24, -0.01 in descending order.\nAnswer: m, 1\/24, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s**4\/5 - 38442*s**3 + 64058*s**2\/5 + 106778*s\/5 + 21356\/5 = 0. Calculate s.\nAnswer: -1\/3, 1, 10678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 14*n**2 - 4*n - 5.\nAnswer: 14*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:14 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + (-1 + 6 - (5 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 147, 334, 597, 936?\n\"Answer: 38*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2097*w - 1087*w - 1053*w + 215 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10580 is divided by 1361.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 8*c**2 + 3. Let d be (3 + -2)\/(2\/24). Suppose 40 = d*q - 7*q. What is the units digit of n(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -3028599\nAnswer: 52\/3028599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from clzazxxxzlau?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*d + 74 = -3*d, -2*f = d - 70. Suppose 0 = 235*r + 1989 - 3597 - 31997. Calculate the remainder when r is divided by f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011395333 to six decimal places.\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12811*h**4 + 5*h**3 + 34*h**2 + 2*h - 664 wrt h.\nAnswer: 307464*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1219 and 135217.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 878243.8 minutes?\nAnswer: 52694628000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*t**3 + 7797*t**2 - 639*t - 104862584.\nAnswer: -21*t**2 + 15594*t - 639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*v = 1438024 - 352592. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - 3. Let u = d - -19.5. What is u rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/10 (c) -856 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158\/7 - -776\/35. Which is smaller: 4.23 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a - 15 = 0. Sort 3, -1, a in ascending order.\nAnswer: a, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4. Let w(b) = -b**3 - 5*b**2 + 7*b + 10. Let h be w(-6). Suppose h*l - 1 = 7. What is the remainder when l is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 10 - 4 + 4 - 268 - 3*j + 4*j + 189 + (0*j - j + 0*j)*(3 - 1 + 0) to the form m + w*j and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8 times -4898?\nAnswer: -28408.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.447 - -0.439. Let a = 22 + o. What is a rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*m**3*z - m**2*z**2 + 5*m + 88*z**2 wrt m?\nAnswer: -27*m**2*z - 2*m*z**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 97?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1113720 + 30?\nAnswer: 1113750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2408 + -2320. Calculate the greatest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 835955.483 to the nearest ten.\nAnswer: 835960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(7\/28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 29 + 8 = 13 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 - 1. Let o be j(-1). Let p(u) = u + 4. Let l(i) = -i - 1. Let n(b) = o*l(b) + p(b). Give n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1400688\/5 or 280137?\nAnswer: 280137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*c + 88 = -124*c + 2*u, -u + 32 + 7 = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + n + 8002313 - 8002320 = 0, 0 = -4*n + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44\/7 - 6. Which is the biggest value? (a) -3\/4 (b) 3\/8 (c) -2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -642, -637, -628, -615?\n\"Answer: 2*u**2 - u - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 256235\/15 + ((-52)\/(-96) - 1\/(-8)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**2 + 5. Suppose 6*c - 397 + 427 = 0. Let a(k) = 169*k**2 + 104. Calculate c*a(r) + 104*b(r).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:30 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 229966.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8577*i**4 + 7852 wrt i?\nAnswer: 34308*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0108 in -0.5, -1, -4, 247, 21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127282566*u**2 - 4*u + 36767796 wrt u?\nAnswer: -254565132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 3*h**2 + 4*h**2)*(77*h - 251*h - 146*h + (0 + 4 - 6)*(h + 4*h - 3*h)).\nAnswer: 648*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -15. Suppose -u*k + 10 = -28. What is the remainder when 75 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281 - 267.7. Let p = 29 - 48. Let k = l + p. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1129460*a - 2 + 2 - 1129602*a.\nAnswer: -142*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 44 in descending order.\nAnswer: 44, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 18, 8, -18, -66, -142?\n\"Answer: -t**3 + t**2 + 4*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54a + -1f?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1213 = 5*w, 2*r = -14*w + 11*w + 607. Suppose -v + 4*a = 302, 2*v + 277 + r = 3*a. What is v rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 4*g - 5. Let k be j(-6). Let v(u) = 5*u - 8. Calculate v(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115\/902 - 1\/11. Which is bigger: 2\/3 or m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 54*z**2 - 9. Let i be (-33)\/22 + 2\/(-4). Let v(p) = 13*p**2 - 2. Let o(j) = i*g(j) + 9*v(j). Let s(b) = 3*b**2. Give s(o(f)).\nAnswer: 243*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176883?\nAnswer: 3, 7, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/73)*a**(-15)*a**(1\/19)*a**(-7\/2) assuming a is positive.\nAnswer: a**(-51249\/2774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*s - 103*s + 208*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 825679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let r(l) = -7*l - 2. Suppose 258 = 64*o + 2. What is o*t(u) + r(u)?\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986.76 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 36011*d**2 + 324216035*d + 324180025.\nAnswer: (d + 1)*(d + 18005)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/116*(-24)\/(-66)*-2?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1304682.\nAnswer: -130468.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/113, -0.246, 2, 0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 4:59 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 0.2, -3, 0.4, 2\/31?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((203\/(-14) + 14)*2\/1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81243 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 21230?\nAnswer: -21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = o - 4*o + 4, 2*z + 5*o + 14 = 0. Let g be (z\/(-16))\/(4\/24). Which is the second biggest value? (a) 0 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mepppzzpzppppp. Give prob of picking 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 6. Let y be 10 - (3 - 7) - 1. What is the units digit of f(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75690270 by -15138054.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**4\/6 - 11*y**3\/3 - 4*y**2. Let o be v(9). Suppose 0 = 5*m + 84 - o. Round m to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 255012331 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 206 - 1018\/5. Which is greater: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**2 + 5*x**2 - 17*x**3 - 13*x**2 + 4*x**3 to the form s + w*x + q*x**2 + n*x**3 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32675, -130708, -294097, -522842, -816943, -1176400, -1601213?\nAnswer: -2091382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 83133.\nAnswer: 61\/83133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 2:05 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*s + 13*s + 37*s**2 + 11*s wrt s.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1504*q*y + 254*q + 7*y - 2 with respect to y.\nAnswer: 1504*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -211540?\nAnswer: -211538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5184 + -0.0184. Let b = 7 + -22. Let d = b + 104\/7. What is the nearest to -0.1 in -0.1, p, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let x = l + 0. Factor 0 + 1\/4*g - 1\/2*g**3 + 1\/4*g**x.\nAnswer: -g*(g - 1)*(2*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228069639*w**3 + 105219441*w wrt w.\nAnswer: -1368417834*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11222112121 (base 3) to base 15\nAnswer: 1e0da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k**3 - 6237167109*k**2 + 6237167109*k**2.\nAnswer: -42*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**3*z**3 + s**3*z**2 + 2*s**3*z + 2304*z**3 - 1831*z**2 wrt z?\nAnswer: 6*s**3 + 13824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 9*r**2 - 15*r - 21. What is the remainder when 99 is divided by b(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 10219?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 164*w**2. Let p(a) = -2*a. Determine u(p(g)).\nAnswer: 656*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 125481 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -27*a**2 - 1311*a - 246. Let z(b) = -28*b**2 - 1330*b - 248. Let k(q) = 5*p(q) - 6*z(q). Solve k(o) = 0.\nAnswer: -43, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3276346 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 17, -2, 1, 3\/2, -25905\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 734*i**2 + 188*i + 6. Let v(w) = 7*w**2 + w - 2. Let x(b) = -q(b) - 3*v(b). What is the second derivative of x(d) wrt d?\nAnswer: -1510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by -1?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -53, -113, -197, -305, -437, -593?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37833463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*c - 5 = 7, 3*a + c = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18737247?\nAnswer: 3, 17, 367397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m + 1. Let x = -1115 - -1115. Determine a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 - -15. Let c = p - -89. Suppose 0 = c*h + 254 - 752. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-144))\/(49\/(-588)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466940 divided by 4.\nAnswer: -116735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 5, i: 1}. Give prob of picking 1 z and 1 u.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x**2 - 14*x - 12. Give z(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4f63f (base 16) in base 15?\nAnswer: -6653d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8833?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + n + 19*n to the form z + t*n and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.561525 millennia in months?\nAnswer: 18738.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 262 + 207*g**4 + 455 - 24*g**4 - 97 wrt g.\nAnswer: 732*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -66 + 57 + -16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 4, 48 in increasing order.\nAnswer: -5, -4, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -1.7.\nAnswer: 1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/9)\/((-10)\/110145) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = 5. Suppose -4*x = 4, 36 = 5*s + 2*x - 17. Calculate the lowest common multiple of j and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(108) + 2 - sqrt(108)) + 0 + (2 + (sqrt(108) + 2 + sqrt(108) - sqrt(108)) + 5)*2)**2 + 5.\nAnswer: 600*sqrt(3) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2 - (0 - 1). Let n = 2 - 13. Let o = t - n. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -235*w - 3908. What is the remainder when c(-18) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 14 = -p, -3*p + 2 = 4*d + 10. Let t = p + 11. Let z = -15 + t. Solve -r + 1 + 4 = z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from lnsnlvnlllszs.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000454 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {f: 10, h: 4, x: 3, s: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/4 - p**3\/3 - 7*p**2\/2 - 5*p + 8. Let w be t(-4). Round w to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from vvj?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-1 - 5\/(-2)). Let c be (2\/q)\/(1\/4). Solve 0 = -c*j + j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/9))\/(z\/(z**(-9)\/z))*z*z**(-6)*z*z**(-3\/10))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -14125*q**2\/2 - 14127*q\/2 - 1 = 0.\nAnswer: -1, -2\/14125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 - 3.6. Sort y, 4, -3.\nAnswer: -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21610*46\/253*22. What is y rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(57)\/sqrt(3))**2*-3.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/11)\/(12\/9*(-12)\/8)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(2\/15)\/g)\/g*g)*g*g*g**(-4\/9))\/((g**(2\/7)\/g*g*g)\/g**(1\/7)) assuming g is positive.\nAnswer: g**(403\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vltqvzt. Give prob of sequence lq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2988)\/(-2158))\/(((-8)\/26)\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)*p)**(19\/2)\/(p**(-15)*p*(p**(-2\/5)*p)\/p) assuming p is positive.\nAnswer: p**(406\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/7 + 498*d**3 + 85138*d**2 + 592482*d\/7 = 0 for d.\nAnswer: -1551, -191, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 63*v + 393. Let b be j(57). Solve 3*x + b - 45 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -423 (base 5) to base 11\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*4\/20*50\/15. Calculate the common denominator of (-6)\/((-672)\/y)*(-33)\/(-4) and -73\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 5*h + 25. Determine f(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 2\/9, 3427, 2.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.241 - -24.841. Let j = c + -27. Let i = 2.39915 + j. What is i rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 1726 + 142 = 0. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1714 + 3?\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, -110, -216 in decreasing order.\nAnswer: -92, -110, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1435*i**3 + 12 - 49 - 42081831*i + 42081854*i wrt i?\nAnswer: 8610*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 11*w**2 - 10*w - 8. List the prime factors of r(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864282?\nAnswer: 2, 7, 37, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/10)\/2)\/(30\/50)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 10*j. Let b be l(5). What is the closest to -1 in 2, b, -2.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - n - 44, -4*x = -3*x - n - 12. Let a(o) = -22*o - 2. Let c be a(-2). Suppose 0 = 3*b - 108 + c. What is the remainder when b is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -203.87 - -203.63. What is the closest to -1 in u, 0.3, 2\/15, 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 55*m**3 - m. Let s = 11 - 10. Does 10 divide u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 66?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4932928020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 20810.89\nAnswer: 62432.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*w - 2*w + 5*r, 0 = 5*r - 10. Suppose w = 6*j - 13. Suppose 4*x + 14 = s, -119 = -j*s - 7*x + 2*x. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 - 7518*y\/5 + 4710027\/5.\nAnswer: 3*(y - 1253)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -197, -198, -201, -206, -213?\n\"Answer: -j**2 + 2*j - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/125 less than or equal to -80\/4359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7 + 5*n + 2*n - 2*n - 4*n. Let v = -45 - -40. What is g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s)**(-34)\/(((s\/(s\/(s*s*s*(s*s\/(s\/s**1*s*s*s))\/s*s)))\/s)\/s)**29*s**(2\/11)*(s\/(s**(-4)*s))\/s*s*s\/(s\/s**(-2\/3))*s**(-1\/7) assuming s is positive.\nAnswer: s**(8633\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 220982 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 19\/5)*40\/12. Let n(w) = 2*w**3 + 12*w**2 - 2*w - 10. Let g be n(p). Solve -g*z - s = 4*s + 13, 2*z = 5*s + 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**2*l*l**(-2\/7))\/((l\/l**(2\/5))\/(l\/(l**0\/l*l)))*(l*l*l*l**(1\/4)*l)**(1\/58)\/(l**(-6\/7)*l**(-1\/3)) assuming l is positive.\nAnswer: l**(57929\/24360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3148317445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 718368985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8547945*f**3 - 1841981*f**2 wrt f?\nAnswer: -51287670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*g - 336, -5*k = -3*g - 0*g - 420. Suppose 424 + k = 4*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.18232 rounded to two decimal places?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:06 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -531, -5, -2.9?\nAnswer: -531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 3*l - 50. Let g(d) = -d**2 + 5*d + 4. Determine g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 12:54 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 183*u + 721. Let l be s(-4). Let p = 14 + -29\/2. What is the second biggest value in -2\/9, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -466*f**3 - 2*f**2 - 4*f - 7. List the prime factors of m(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 418.3 - 420.3. Which is the biggest value? (a) t (b) 18 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*g - 5*t, 2*t - t - 5 = 3*g. Let u(q) = q**3 + 3*q**2 + 4*q + 2. Let i be u(g). Does 6 divide 21 - (2 + i\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1436 or 187?\nAnswer: 1436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12 = -2. Suppose -3*w + g = -4. Solve 0 = -4*z + w*s - 16, 3*z + 9 = 5*s - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 3*h. Let w be i(4). What is the units digit of (-3)\/6*(w - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -25.3?\nAnswer: 25.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423450037945287 + p**3 - 423450037945287.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 8. Let j be n(-6). Let z(p) = p**3 + 4*p. Let s(k) = -38*k + 337. Let g be s(9). Let u(f) = 5*f. Determine g*z(y) + j*u(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggtt when four letters picked without replacement from {g: 6, t: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 - sqrt(11))*-3*-5 + -5 - (sqrt(308)\/sqrt(7) + -3 + sqrt(99)).\nAnswer: -5*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 + 724*l\/11 - 7298.\nAnswer: 2*(l - 89)*(l + 451)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j + 11*j + 10*j + 7*j as r + i*j and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from tbl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/i)\/(i**(-13)\/i) assuming i is positive.\nAnswer: i**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(4\/(-30)). Suppose -4*g + 0 = x - 24, 4*x = p*g + 33. Calculate the greatest common divisor of 108 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -684.3388 + 773.359. Let x = m + -89. Round x to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*s + 8 = -477*s, r + 2*s + 11 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*n = 89*n - b + 10, 6*n - 130 = 23*n - 3*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110092627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*z - 15 = 7*v, 2*z - 1 = v. Let m = 8 + v. Solve 2*j + 2*j = -g + 2, 3*j + 7 = -m*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k = 344*k - 1596. Solve 2*m - k*d - 5 = 1, d + 18 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*m - 933 - 417 = 102*m. What is the highest common factor of 54 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 26 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 585, 960, 1335, 1710, 2085, 2460?\n\"Answer: 375*g + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 0, -21, -70, -159?\n\"Answer: -2*t**3 + 4*t**2 - 3*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmx when three letters picked without replacement from {m: 4, q: 1, x: 6, h: 2, w: 7}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2471, 4979, 7535, 10139, 12791, 15491?\nAnswer: 18239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8771950977043 minus -0.2?\nAnswer: -3.6771950977043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -6 + 1)*-1. Let z = 5 - m. Let t(j) = 132 - 14*j - 65 + 13*j - 70. Determine t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 224132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 3 (b) -2\/15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 - 41 = -8*x. Let u be 12\/66 - x\/(-22). Let q(l) = 15*l**u + 13*l**2 - 26*l**2. Let p(t) = 6*t**2. Give q(p(b)).\nAnswer: 72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 4. Let o be x(7). Let z = o + 5. Suppose z*g = -10 + 52. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95744292 divided by -1.\nAnswer: 95744292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52794136.\nAnswer: 2, 6599267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, 150, 0.07, -0.09 in increasing order.\nAnswer: -0.2, -0.09, 0.07, 0.4, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-8) + (-18)\/24*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-11))\/(336\/528). Find f, given that a*f**2 + 5\/7*f**3 - 3*f - 18\/7 + 1\/7*f**4 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37.6*0.5\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92 + (175 - 77))*(-1)\/(-195).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 278, 4, 2, -4, -39 in decreasing order.\nAnswer: 278, 4, 2, 1, 0, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 785240 or 785239?\nAnswer: 785240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24287*z + 2*z**2 - 24296*z + 97170*z - 24285*z - 24294*z.\nAnswer: 2*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 5*h - 9. Let g(b) = -3*b**2 - 11*b + 18. Let s(w) = 5*a(w) + 3*g(w). Give s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*t**2 + 11*t**3 + 169*t**2 - 80*t**2.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 593793?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 32. Let l be h(0). Suppose 4*u - s = -3*s + 218, 4*u - 2*s - 206 = 0. Let r = u + l. What is the remainder when 62 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78687 and 136164?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*s**4 - 15467*s**3 - 2*s**2 - 1866867*s.\nAnswer: 168*s**2 - 92802*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*z - 155*z + 314760*z**2.\nAnswer: 314760*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145 - 4*d**3 - 2*d**3 + 149 to p*d**2 + z*d**3 + a + u*d and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11362 divided by -38?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/11 + 2*d**3 - 78*d**2\/11 + 90*d\/11.\nAnswer: -2*d*(d - 5)*(d - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + 4 + (-25 - -12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/18)\/(3\/18). What is the tens digit of ((-2)\/w)\/((-12)\/1968)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o - 1. Let l(r) = -6*r - 1. Let k(t) = -6*b(t) + 4*l(t). Let p be k(3). Let u be 5 + -2 + -2 - -6. What is the highest common divisor of u and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -564528, -564652, -564774, -564894, -565012?\n\"Answer: a**2 - 127*a - 564402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5967912.246 rounded to the nearest 100?\nAnswer: 5967900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrdderdrerrd. What is prob of picking 2 d and 1 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2 - g**2 - 2. Let t = -14 + 16. Let p(d) = 25*d - 3*d**t - 45*d + 20*d. Determine v(p(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/966 and 61\/10?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3 + (1 - -2). Suppose t = -4*a + 6*a. Suppose 6*h = -5*i + 4*h + 154, 0 = 5*i - a*h - 144. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + 2*s)*(s**3 + 0 - 3*s**3 - 2).\nAnswer: -4*s**4 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-4)\/5)*-5 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 30*n + 2*p, 424*n + 4 = 427*n - 2*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 5. Let z = 3 + -1. Let w(f) = 2*f + 0*f**2 + 0*f**2 - 1 + 8*f**z. What is w(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose t*l - 2*l - 111 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 3. Let x be i(-9). Suppose 158 = -2*o + 14. Let q = 102 + o. What is the greatest common factor of q and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1201 - -36) + (-1 + -7 - (-8)\/2).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzkiknnziwhzzz. What is prob of sequence hz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/5 + 66854*h**2\/5 + 2140864*h\/5 + 17131008\/5 = 0.\nAnswer: -16, 33459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.523 + 1.477. Let v = 0.05 - -0.05. Which is the closest to 0? (a) m (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 361 - 219. What is the remainder when s is divided by 79?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1737 * 154650\nAnswer: 26862.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16000114?\nAnswer: 2, 13, 615389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -28.4, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13087 - 13089. Let a = -0.3 - 0.2. What is the smallest value in h, a, 0.16?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 13482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 0*t + 0 - 71\/4*t**2 - 1\/4*t**4 - 18*t**3 = 0?\nAnswer: -71, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, m: 3, t: 1, b: 13}. Give prob of picking 3 m.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -110100111?\nAnswer: 110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*p - 4574*b + 3671*p wrt b.\nAnswer: -p - 4574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1934, -15586, -52652, -124844, -243874, -421454?\n\"Answer: -1952*c**3 + 5*c**2 - 3*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/285 + 62\/240?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -10*27*2\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184860 + 853039. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201332020120 + 3?\nAnswer: 201332020123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 + 9*u**3 - 4*u**2 - 6*u**3 + 2*u to the form x*u + n*u**3 + v + o*u**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11198, -11125, -11038, -10931, -10798, -10633?\n\"Answer: o**3 + o**2 + 63*o - 11263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 1*(2 - 3). Suppose -b*s - 75 = -7*s. Let q be 3\/(-3)*1*-3. Solve 0*x + s = -q*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-6)\/(-54) - 872\/(-981)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 5*m - 1362 - 340. What is the greatest common factor of 49 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11954659.6604 + 11952620. Let q = b + 2040. Let c = q + -0.37. What is c rounded to three decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:18 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*h**2)*(248 - 103 - 123 + h) to y*h**2 + w*h**3 + t*h + q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90524 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1439*w. Let u(z) = -z. What is u(h(c))?\nAnswer: 1439*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153)\/54 + 182\/52 + 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92918 - 92882 = k for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000113029 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9\/7)\/c**(29\/2))\/(c**(-2\/3)\/c**4))**(-11\/4) assuming c is positive.\nAnswer: c**(5137\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 209, 672, 1435, 2498, 3861, 5524?\n\"Answer: 150*h**2 + 13*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 779195084?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*c - 11 = 0, -3*d = 4*c - 2*c + 7. Let z be (-28)\/16 + d\/4. List the prime factors of 13\/1 + z + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1088 - 11*b + 2*b - 1095. What is the smallest common multiple of f(-3) and 122?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 30*r**2 + 29*r + 131. Determine z(-31).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 7. Let g be a(-7). Suppose -3*i = 4*n + 69, 2*n - 2 + g = 4*i. Which is bigger: n or -20?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3 (b) 3\/34 (c) -76 (d) 17 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1167*q + 113. Give v(1).\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -24*n**3 - 15*n**2 + 9*n + 5. Give c(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 4)*(-l - l + 0*l) + 5*l - 3*l + 0*l + 5 + 7*l - 5)*(2*l**4 + 0*l**4 + 0*l**4 + (0*l**3 + 4*l**3 - l**3)*(l + 28*l - 4*l)).\nAnswer: 1309*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/6 + 1\/(-3). Let h(r) = r**2 - 2*r - 2. Let l be h(m). Calculate the common denominator of -29\/7 and (3\/10)\/(l\/(-9)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/4)\/(-1))\/((-9)\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -65. Is 3\/7 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 + 7*j - 166. Let p(n) = n**2 - 2*n + 57. What is 2*g(f) + 7*p(f)?\nAnswer: f**2 + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - -4164541?\nAnswer: 4164501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 2*z + 12 = 0. Put 4, z, -6 in descending order.\nAnswer: 4, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {g: 3, b: 4, n: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33380314 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/2 and -95\/856.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 360858638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (2*(sqrt(208) + 0) + (sqrt(208) + 0 + sqrt(208))*-5)**2 + -1*-1*(2 + -1 + sqrt(208))).\nAnswer: 24*sqrt(13) + 79866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arha when four letters picked without replacement from aagaccgcabgchhrhaaga?\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3936*d - 39*d - 9096 = 4059 + 2745 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)\/(15 - 1976\/133)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-3)\/v*v)\/v)\/(v\/(v\/(v\/v**(-2\/5)))))\/(v\/(v\/v**(-3))*v**(2\/17)))**(1\/27) assuming v is positive.\nAnswer: v**(-214\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 199? (a) 0.4 (b) 2 (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*l + 231 = 25*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285719 is divided by 7791.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 20, g + c + 38 = 116. Let d = 2861 - 1221. Suppose 0 = 8*t - 0*t - d. What is the greatest common factor of t and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -21 - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -231815*g**4 + 28*g**3 + g + 31113741 wrt g?\nAnswer: -927260*g**3 + 84*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, -42, -3.\nAnswer: -42, -3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 12*p - 16*p - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2115)\/(-75)*(-202)\/(-467). Let u = q + 1\/467. Find the common denominator of u and -19\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**3\/3 + 15*b. Let g(k) be the second derivative of -40*k + 0*k**3 + 0*k**2 - 1\/12*k**4 + 0. What is f(g(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktymmymxytmmxumtm. Give prob of sequence tmmy.\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 29*z = -180 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - f + 1. Let p(w) = 111*w**5 + 2*w**3 + 42*w**2 + w - 2. Let y(x) = 2*a(x) + 2*p(x). Find the third derivative of y(m) wrt m.\nAnswer: 13320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71558477*c**5 + 42438445*c wrt c.\nAnswer: 1431169540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6312.3*2.3\nAnswer: 14518.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p + 59. Give x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -339 + 681\/2. Let v(a) be the first derivative of 4*a - 2\/3*a**3 - h*a**2 - 1. Let x(l) = -3*l**2 - 4*l + 5. Determine 5*v(y) - 4*x(y).\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 18, -2, 2 in decreasing order.\nAnswer: 18, 13, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + 14 + (-32 - -28).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194, -185, -174, -161, -146?\n\"Answer: m**2 + 6*m - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -31*i**7\/42 - 43*i**4\/12 - 3*i. Find the third derivative of p(t) wrt t.\nAnswer: -1860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 31. Let k be p(13). Suppose 5*v + 2*a - 36 = -2*a, 0 = 4*v - a - 12. Suppose -4*d - 5*w - v = -17, w - 11 = -5*d. Solve -k*b - 3 = -d*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/4 - -4)*24\/27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 450, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 n when four letters picked without replacement from fbffffnbbfbnbff?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572805652.\nAnswer: 2, 143201413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 20*v + 561. Let g be s(-28). Let k be 1\/(-2) + 10\/19. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239007419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -13 (c) -2\/7 (d) 0.12 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - -1848519?\nAnswer: 1848518.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 4}. What is prob of sequence mkkk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 2.052, 2, -1\/8, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 64 = -0*y - 4*f, y - f = 20. Calculate the remainder when (-461)\/(-4) + (-6)\/y is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 30 + 15 = 0. Let m = -12 - t. Let v = m + 0. Calculate the remainder when v is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 17*w + 45213 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001 - -1112?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 2*t + 27. Suppose 0 = -3*d + t*r - r + 825, 5*d + r - 1362 = 0. List the prime factors of d.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169382644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zibmimibzzzmzzzmzib. What is prob of picking 2 b?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/7 + 744*h\/7 - 2944\/7 = 0. Calculate h.\nAnswer: 4, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22355 + 38.7793?\nAnswer: -22316.2207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21060 less than 652898\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 12. Let i(d) = 3*d + 36. Let k(m) = 3*i(m) + 8*u(m). Let b be k(-6). Suppose b*v = 4*v + 74. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:07 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 37*i - 1 = -34*i + 70*i - 2, 18*n + 5*i - 127 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -17, 5, -47, -2 in descending order.\nAnswer: 11, 5, -2, -17, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(5))\/sqrt(3) + -5.\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.71048 nanograms to tonnes.\nAnswer: 0.00000000000001371048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = -2*x - 5*p, 4*p = 4. What is the tens digit of x\/(-6) + 84\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4*2\/((-60)\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (88\/10)\/(9\/((-270)\/(-12)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + (-48)\/(-7))\/((-3)\/6). Which is the nearest to -6? (a) z (b) 0.4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 14*k + 81 - 164, 36 = 2*d - 2*k + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314660 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 88*o**3 - 4*o**2 + 291*o - 8. Let c(m) = 262*m**3 - 11*m**2 + 871*m - 22. Let h(i) = 4*c(i) - 11*v(i). What is the second derivative of h(y) wrt y?\nAnswer: 480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d**2 + 3*d + 41. Does 83 divide f(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37120)\/(-2730) + (-35)\/1365 - 14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 6, 10, 14, 18, 22?\n\"Answer: 4*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 + 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4) - (-186)\/120. What is the biggest value in 1\/4, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 7210*q - 3670*q - 3540*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10795 greater than -126\/263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*9\/(18\/(-82))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 6*p - 6. Let o be q(-6). Let a be (-48896)\/32*(-5)\/(-4). Is (a\/(-30))\/((-2)\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 28*t - 2201. Let o be q(63). Solve -o*a + 14 = 26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-238469 - 818*n**3 + 238469)*(4*n - 2*n - n) to the form p + m*n**2 + z*n**4 + q*n + v*n**3 and give z.\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(-3\/14)*m)\/m*m)\/((m*m*(m\/m**(-2\/13)*m)\/m)\/m))\/(m**(1\/4)\/m)**(35\/4) assuming m is positive.\nAnswer: m**(9019\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -15*t**2 - 65. Let d(z) = 2*z. Give q(d(i)).\nAnswer: -60*i**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q - 5990 + 882 + 719. Calculate the remainder when 467 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2132076 divided by 3\nAnswer: -710692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3847 = 3*l + 2494, 5*l - 2*b = -10600. Let v = -952 - l. What are the prime factors of v?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 0*o + 31\/24*o**4 - 39*o**2 - 5\/3*o**3 + 0. Differentiate k(p) with respect to p.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 6*x + 4. Calculate m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*l - 13809 = -3200, 4*q + 21191 = 3*l. Round q to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 2*m - 246 + 241, m + 15 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -775 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 5*k + 75, 4*x + 4857*k + 28 = 4853*k for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 1. Let f be c(-2). Suppose -m - f*m = -60. What is the second derivative of 15*y**2 - 3*y**4 - m*y**2 - y wrt y?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5494 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: Four letters picked without replacement from {o: 7, g: 9, m: 2}. Give prob of picking 1 m and 3 g.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p - 5. Does 13 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*j + 61*j - 12*j**4 + (-3*j - 2*j**2 + 3*j)*(1 - 1 + 3*j**2) - 5*j - j**4 + 5*j.\nAnswer: -19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.187, 0.5, 7 in increasing order.\nAnswer: 0.5, 4.187, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*u**3\/9 - 50*u**2\/3 - 26*u\/3 - 2\/9.\nAnswer: -2*(u + 1)**2*(37*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*v + 20576 - 6324, -4*z + 5*v + 14225 = 0. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 175*x - 1591. Determine p(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 101, 108, 115?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 - -9289 - 6\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5562\/(-21))\/(2\/(-14)). Let d be g\/42 - (-1)\/(-7). What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -0.2, 2, -3\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41 or -71?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9 - -0.6. Let u = y - 2. Let n = u - 1.3. Sort 2, 3, n in decreasing order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1088))*-1 - ((sqrt(1700)*3 - sqrt(17)) + 2)**2.\nAnswer: -14300 - 124*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*q = -9, 0*d - 3*q - 9 = -d. Suppose d = -3*m + 4*m. Suppose 0 = -8*i + 35 + 5. Solve 0 = 3*o - k - 10, m*k = o + i*k + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2 + ((-1332)\/8)\/37)*634. Which is smaller: -2854 or a?\nAnswer: -2854","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5088 + -2951037\/580. What is the common denominator of k and -51\/406?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0 + 3. Solve c + q = -0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 1. Let x(h) = -h**3 + 7*h**2 - 7*h + 7. Let i be x(6). Let a be y(i). Let j be 5\/5*(4 + 0). Solve 5*w = -j - a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - b**2 + 6*b**2 - 4 + 12*b**3.\nAnswer: 12*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3095*c**3 - 2644 wrt c.\nAnswer: -9285*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -29149.\nAnswer: 11659.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/6))\/(g*g**(-6)*g))\/((g**(2\/15)\/g)\/(g**(1\/4)*g)))**(8\/5) assuming g is positive.\nAnswer: g**(278\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6206 and 1856?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - ((1 - 9) + 19 + -7 + 1) - -8.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 277 + 94 = 3*g, 0 = g - 2*f - 117. Suppose 0 = 4*s - 59 - g. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + v**2 - 3*v - 4. Let f be b(2). Suppose -2*q + f*s - 8 = -3*s, 2*q - 24 = -3*s. Calculate the remainder when 1*(-10)\/4*-14 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) 3 (b) -3 (c) -2\/13 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n + 3. Let w(m) = 2*m**2 + 5*m + 5. Let y(u) = 2*u**3 + 7*u**2 + 21*u + 103. Let k be y(-4). Calculate k*w(p) - 5*x(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-4 - -1) + 4. Let s be (-9)\/(-6)*8*1. Let m = s - 8. Solve 0 = -2*v - 2*c - w, c + m = 5*v - c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 194*d**2 + 2*d + 1. Let k be t(-1). Suppose 17 = -5*i - k. Let z = -11 - i. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 1, s: 1, a: 2, c: 1, h: 2}. What is prob of picking 1 t and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, -0.021, 6, -27, 0.07?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (-1*sqrt(171)*-1 - sqrt(171)))\/sqrt(9) + 4*(sqrt(19) + 1 + 3) - (-1 + 2 + sqrt(1539) + 0 + 3))**2.\nAnswer: -96*sqrt(19) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.3 (b) -4 (c) -5 (d) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (1 + 0 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*q = 9, 0*x + x = 3*q - 11. Suppose x*l = -g + 427, 4*l - 10 = 2*l. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*j - 2*u - 17, -13 = -j + 5*u. What is the third derivative of 212*m**3 - 5 - 211*m**j + 8*m**2 + 3*m**4 + 3 wrt m?\nAnswer: 72*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*t**2 + (2 - 2 - 2*t)*(-t + 1 - 1) - 5*t**2 + t**2 - 3*t**2 + (2*t - 2*t - 2*t)*(4*t - 4 + 4) in the form j*t + v + i*t**2 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(360)\/(sqrt(12)*-1))\/((sqrt(360) - sqrt(360)*-2) + sqrt(360))*5.\nAnswer: 5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 122, 319, 550, 809, 1090, 1387, 1694?\n\"Answer: -l**3 + 23*l**2 + 135*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 16*x + 4. Let u be d(-12). Let g be -1*(-5)\/(-15) + u\/3. Calculate the highest common factor of g and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -76.457?\nAnswer: 22.9371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 78 - 156 = -p, 2*d = 3*p + 38 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*(-316)\/395*(-4 - 1). Solve -4*q = -4*z - l*q - 16, -2*q + 16 = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89.8 - -90. Let c = 2 + -1.9. Sort -0.02, c, a in descending order.\nAnswer: a, c, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0614456 centuries?\nAnswer: 73.73472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/118336 and -119\/133128.\nAnswer: 1065024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435 and 725?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*s**6 + s**3 - 2*s**2 + 58*s wrt s.\nAnswer: 4080*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s + 4*s)*(-1 + s**2 + 1) + 0*s**3 + 0*s**3 + 3*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469105 is divided by 777?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1080*a**3 + 9395*a**2 - 720245*a - 3033720. Let l(b) = 173*b**3 - 1566*b**2 + 120041*b + 505620. Let y(v) = 4*c(v) + 25*l(v). Factor y(t).\nAnswer: 5*(t - 159)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16522*b + 12387?\nAnswer: -16522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12088430.\nAnswer: 2, 5, 1208843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 115775119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34812 divided by 6?\nAnswer: -5802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 11 = -19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -189*(1\/4 - (-58)\/24). Let a = q + 1000. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*d**5\/7 - 1040*d**4\/7 - 392104*d**3\/7 - 13401664*d**2\/7 + 58343184*d\/7 - 59927040\/7 = 0. Calculate d.\nAnswer: -306\/5, 2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j = 126 + 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12000 and 795250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139767 is divided by 76?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 45. Calculate the highest common factor of f and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49, 64, 79, 82, 61, 4, -101?\n\"Answer: -2*j**3 + 12*j**2 - 7*j + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*j + 335*j - 171*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 7*q + 8. Let a be i(-7). Let c = a - 0. Let m(l) = -4*l + 6. Let t be m(1). Calculate the greatest common factor of t and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88) + sqrt(88))\/(2*sqrt(2)*-5 - sqrt(2)) - (-1*(2 + sqrt(11)) + ((sqrt(11)*-3)**2 + sqrt(11) - sqrt(11))*-1 + -2).\nAnswer: 5*sqrt(11)\/11 + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69799993*i**2 + 9*i + 7815097?\nAnswer: 139599986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 241, 322, 477, 730, 1105, 1626, 2317?\nAnswer: 3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j**2 - 3*j**2 + 0*j**2. Suppose 3*u - u = 8, 58 = 3*l - 5*u. Let p(f) = -27*f - l*f + 71*f - 22*f. Calculate p(o(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (18\/(-4))\/((-1)\/(-2)). Is (-26)\/m + (-2)\/18*-6 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 + 0 = 0, 2*o + 19 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 15, c: 4}. Give prob of picking 2 n.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 5 + 3*s + 4*s - 2*s. Let t be g(8). What is the second derivative of -w - 2*w**t + 2*w**3 - 3*w**3 + 2*w**3 wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -2*i + 0*i**2 + 1\/30*i**5 - 1\/9*i**3 + 0*i**4 + 0. Factor c(t).\nAnswer: 2*t*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5831.737l to millilitres.\nAnswer: 5831737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4642 to the nearest one hundred.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25232 - 25365.16. Round z to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797398418 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + (-312732)\/(-98))\/(3 - 80\/28)?\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*s = 19, 1 = -3*b - s + 7. What is the second biggest value in 0.2, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0, -0.3, 13\/7, 1.27 in descending order.\nAnswer: 3, 13\/7, 1.27, 0, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 5. Let f be t(-9). Suppose -3*b + b = -f. Let m be 10*-2*b\/(-4). Solve -4*a - 15 = k + 6, 5*k = -a - m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1296, 2599, 3902, 5205, 6508?\nAnswer: 7811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 91*w**5\/60 - 17*w**4\/24 + 2*w**3\/3 - 91*w**2. What is the second derivative of q(b) wrt b?\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889910251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2 - 35*t + 96 = 0.\nAnswer: 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -6)\/(1\/8). Let a be 543\/4 + (-12)\/j. Suppose -a = 48*o - 53*o. Is 26 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20035659*c**2*h - 658355*c**2 - 415 wrt h.\nAnswer: 20035659*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 2*p - 8. Calculate w(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a factor of 345356186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6*u - 9. What is o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.698 - 0.492. Round c to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -543 by -18.\nAnswer: 181\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 447, 1023, 1575, 2091, 2559, 2967, 3303, 3555?\n\"Answer: -2*k**3 + 590*k - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3931635563.\nAnswer: 6007, 654509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 695 - 500. Suppose 190*x - z*x + 35 = 0. Solve 4*m - x = -23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439, -434, -425, -412, -395, -374, -349?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnn when three letters picked without replacement from {c: 3, w: 2, y: 2, n: 4, g: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -5, 0, 3, -103534?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z = -5*o - 7, -4*z - 12 = 4*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7707*f**4*o - 2*f**4 + 4*f**3*o + 2*f**3 + 7*f**2*o - 5258*o wrt f?\nAnswer: -184968*f*o - 48*f + 24*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1174, -813, -192, 689?\nAnswer: 1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 635271239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -7*m + 82. Suppose 0 = i + 19 - 7. Let q = i + m. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-5) + 2 - (-32)\/(-80). Suppose c = 13 - 8, -3*n + 3*c - p = 0. Let r = -1\/129 - 380\/903. Is r smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 6. Let i be j(3). Suppose 0 = 3*x - 9 + i. Suppose w + 3*f = 27, 12 = 2*f + x. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*q = 188*q - 379*q. Which is smaller: 6\/19 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Solve 5*i - i + 2*f = -26, -21 = 3*i + k*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 1203837988.\nAnswer: 1203837983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = q - 2098, -q - 123*y = -122*y - 2098. What is the remainder when q is divided by 149?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17573389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 5*q + 7. Let z = 4 + -1. Let c(b) be the second derivative of b**4\/12 + b**3\/3 + 3*b**2\/2 + 9*b. Determine z*y(u) - 7*c(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 3) to base 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (507*b + 430*b - 1198*b)*(b - b - b**4).\nAnswer: 261*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -174*k + 173*k + 2. What is the first derivative of -34*t**k + 7 - 39 - 3 - 13 wrt t?\nAnswer: -68*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16498453 - -17.5904\nAnswer: -16498435.4096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 202386.8 + -202386.3990647. Let v = h - 0.401. Round v to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -5. Solve 8 = -2*v + f*j, -3*j = -2*v - 2 - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-207)\/(-6))\/(6 - (-35)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002331333302201 + 1?\nAnswer: -1002331333302200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-65))\/(3\/104). Solve -2*t + 28*y = 25*y + 16, s = -4*t + 2*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3461456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355798 is divided by 29640.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.41 and -5.\nAnswer: 2.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.59 - 0.87. What is z rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:34 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:34 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14160034 + 24?\nAnswer: -14160010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5 + 1. Suppose -3*k + 3 = g. Let s(p) = -5*p + 1. Let y be s(k). Solve -4*l + f + 8 = 0, 4*f - 2 = 2*l - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52352, -49153, -45954, -42755?\n\"Answer: 3199*s - 55551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 7:25 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 133, 196, 283, 406, 577, 808, 1111?\n\"Answer: 2*z**3 + 49*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 + a**2 - 3 + a**3 - 8*a**2.\nAnswer: a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 16*d - 93. Let w be (2\/4)\/((-1)\/10). What is the remainder when 20 is divided by y(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2469*g**4 + 90972*g**2 - 90972*g**2)*(5*g + g - 4*g).\nAnswer: -4938*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1, -1.67, 8, 4\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122141.\nAnswer: 67, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-3\/5)*s*s)\/s*s\/((s\/((s\/(s\/((s*s*s**(2\/81)\/s*s*s*s)\/s)))\/s))\/s)*s)\/((s**(-1)\/s*s)\/s**26))**(2\/5) assuming s is positive.\nAnswer: s**(27074\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 = -69*k - 330. Let v = 6 - 5. Let u = v + 2. Solve 0 = 4*o - u*o - k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(3*-1)*(-273)\/10192*14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009516 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -18*x**2. Let j(d) = -128*d + 13. Let i(w) = -10*w + 1. Let a(o) = -52*i(o) + 4*j(o). Calculate b(a(h)).\nAnswer: -1152*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 2. Let j(n) be the second derivative of -n**5\/20 - n**4\/12 + 2*n**3\/3 + n**2 + n. What is the remainder when j(l) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 23*o - 56. Let p be h(-25). Let r be ((-1200)\/52)\/p + -4. Which is the second biggest value? (a) 4\/9 (b) 2\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(245) - (sqrt(225)\/sqrt(9))\/sqrt(5)) + 1 + sqrt(405)\/sqrt(9) + -5.\nAnswer: -4 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**3 + 10*b**2 + 7*b. Let a(j) = j**3 + j. Let n(z) = -2*a(z) + f(z). Determine w, given that n(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3403.88 weeks in hours?\nAnswer: 571851.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6903 and 3523598.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 11*i - 14 - i**2 + 4*i + 5*i**2. Let u be d(-11). Suppose 0 = -68*s + u*s + 45. Calculate the remainder when 36 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18222221603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 61. Suppose -4 = 5*o - 3*s + 15, b = -4*o - 2*s. Sort o, 3, 0 in increasing order.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1532.149 + -1528. Let d = 0.081 + r. Let l = 4.7 - d. Round l to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2. Let t(r) = 5*r**2 + 137*r + 1. What is t(s(l))?\nAnswer: 125*l**4 - 685*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -1*(-3 + 4). Suppose 4*w + 2*z - 32 = -p*z, -9 = -3*w + 2*z. Solve 2*g + 5*c = w*g - 32, 12 = g - 2*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135*b**3*v**3 - 26*b**3 + 6210*b*v**3 - 10556*b - 3 wrt v.\nAnswer: -405*b**3*v**2 + 18630*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in -5, 0.2, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 12\/25 of a microsecond?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*n - 596 - 1198 - 816 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*h + 42 = -6*b, 236*b + 3*h = 233*b - 36 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-15666)\/56)\/(0 - (-3)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5\/7 + 228*s**4\/7 + 2316*s**3\/7 + 580*s**2 - 6600*s\/7 = 0. What is s?\nAnswer: -5, 0, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 - 238 = 4*o - 5*w, -8 = 4*o - 2*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93201531629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -218351856*x. Let h(v) = 2*v**2. Determine h(j(m)).\nAnswer: 95355066037289472*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23327.79m to nanometers.\nAnswer: 23327790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28062.12 rounded to the nearest one hundred?\nAnswer: -28100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 475401425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 2*v - 14. Is r(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*(5\/(-2))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3 + (24\/(-6) - -5). Let r(g) = g**2 - 2*g - 2. Give r(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) 2\/3 (c) 5 (d) 2\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 39. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 885 * -62744.\nAnswer: -55528440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153))**2 + -4.\nAnswer: -6*sqrt(17) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p + 46. Let s be r(0). Let m = 14971 - 14741. Calculate the highest common factor of m and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 312?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 45 = s, 0*s - 2*n - 131 = -3*s. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -15. Suppose 12 = -2*m + f*m. Suppose o - 10003 = 5*s, -m*s + 0*s - 7997 = o. Round s to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -359\/5 + 72. Factor 2\/5*l**4 - 1\/5*l**2 + o*l**3 + 0*l + 0.\nAnswer: l**2*(l + 1)*(2*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 482b - -1?\nAnswer: 4830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = -8. Let i(o) = -o + 3. Let c be i(-2). What is the second biggest value in -3, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -295, -395, -495?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-6) + -2)\/((-3)\/(-36)). Let j be ((-788)\/12)\/(2\/t). Let y = -69 - j. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -865.83 - 34798\nAnswer: -35663.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/9 + ((-84)\/41 - -2). Sort h, -2\/7, -4.\nAnswer: -4, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilometer in meters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02367 - 3070021263.\nAnswer: -3070021262.97633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b + 4. Suppose w = -3*n + 34080 + 25917, b*w - n = 240001. What is w rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64.97 - 59.97. Which is the fifth smallest value? (a) 2 (b) -5 (c) j (d) -7\/4 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.2482896 to 2 dps.\nAnswer: -15.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 + 5*z + 5. Let i(d) = -d**2 + d + 1. Let j be (-24)\/(-60)*(-24 + -1) + 0. Let r(f) = f**2 - 7*f + 2. Let o be r(7). Give j*i(l) + o*p(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from dozddzssdozzsopzdz.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -24*y + 9. Let o(m) = -37*m + 14. Determine -8*f(p) + 5*o(p).\nAnswer: 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(((n*(n\/n**8)\/n*n)\/n)\/n))\/n)\/(n*n\/(n*n**(-20)))*(n**(-3\/5)\/n)**(-24) assuming n is positive.\nAnswer: n**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 3*z - 16. What is o(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452*t - 1483*t = -837 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 5\/3*g**4 - 1 + 27\/20*g**6 + 0*g**2 - 2*g + 1\/3*g**3 + 117\/40*g**5. Let j(p) be the first derivative of m(p). Factor j(n).\nAnswer: n*(n + 1)*(9*n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 23*q**2 - 85*q + 76. Is s(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000011191808 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 10 - (4 - (2 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -104*w**3 - 22*w**2 - 5*w + 32. Is t(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {w: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l. Let t(r) = 95*r. What is 19*p(v) - 3*t(v)?\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.4. Suppose -3*s = 4*n - 6, 2*n + 2*n = 5*s + 22. Suppose -2*z = z + 12. Which is the fourth biggest value? (a) n (b) -3\/5 (c) z (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 22339947 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3039 + -3036. What is the closest to 0 in q, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6751 - 1319. Does 194 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -c163?\nAnswer: -c167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 1, g: 1, u: 3}. Give prob of picking 2 u and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -253.58.\nAnswer: 1267.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0*c**4 - 12*c + 0*c**2 + 3\/5*c**5 + 0 - 5\/3*c**3. What is the second derivative of w(o) wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133939017?\nAnswer: 3, 2857, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 400885.8 centimeters in micrometers?\nAnswer: 4008858000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -4. Let n = -0.6 - v. Which is the closest to 1? (a) n (b) -4\/3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/112 and 23\/640.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4428557 divided by 1561.\nAnswer: -2837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4076.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 506 - e?\nAnswer: 4e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(sqrt(252) - (1 + sqrt(252))) - sqrt(252))**2.\nAnswer: -72*sqrt(7) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/36*(-168)\/847?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 + 4 = 0. Let i(o) = -4 + o - 4*o + w*o + 1. Let t be i(3). Solve -t*d - 3*l = -5*l - 19, -19 = -5*d - 3*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**2 - 8844790*s - 3911515507205 = 0.\nAnswer: -884479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 68*c - 86*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(304))*-5.\nAnswer: -80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdn when three letters picked without replacement from {k: 1, m: 2, q: 3, n: 10, d: 3}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*q + 18, -4*q - 5*s + 10 = 1. Suppose -4*p = -6*p + q. Suppose -5*c + 649 = w, c + p*c + 1985 = 3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*r - 1 + 2 - 7.\nAnswer: -417*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 550065\nAnswer: -26\/550065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c. Let u(j) = -6*j**2 + 24*j - 24*j. Give u(k(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. What is the nearest to -1 in -1\/7, o, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30368 and 112?\nAnswer: 212576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - -ac7bc?\nAnswer: ac812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 30 = 7*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 512 - 1020 + 508 - 9*g**2. Let x(s) = -5*s. Determine y(x(o)).\nAnswer: -225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 3156*b + 9441.\nAnswer: 3*(b - 1049)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/29 (b) -31\/3 (c) 2742\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 + 2. Let y(c) = -13*c**3 + 3*c - 11. Let h(v) = -11*b(v) - 2*y(v). Let a(r) = r**3 + r. Calculate -5*a(g) - h(g).\nAnswer: 2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - ((-4 - -12) + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 756431 (base 8) in base 6?\nAnswer: 5232133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18459 - -575?\nAnswer: 19034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 j when four letters picked without replacement from cjereeeermqcerjmmrrr?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**6\/6 + 7*v**5\/5 - 7*v**4\/2 + 8*v**3\/3 + 881. Factor c(d).\nAnswer: -d**2*(d - 4)*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - 4. Let x = y - -50. Let h = -23 - x. Which is the closest to -0.1? (a) 5 (b) h (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)*-4 - 6*(sqrt(117)*2 - sqrt(117)))\/(sqrt(108)\/((sqrt(432) - (2*sqrt(432) + sqrt(432))) + sqrt(12))).\nAnswer: 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*d - 608, -5*g + 64*d = 63*d - 2956. What is the remainder when g is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/49984 and -61\/10.\nAnswer: 249920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231353*k**2 + 50*k**3 - 115730*k**2 - 115623*k**2.\nAnswer: 50*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -19*o - 3*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6 + 23*a**3 - 3 - a - 45*a**3 + 23*a**3. What is l(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10616 - 7050. Is m a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-10)\/(-25)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200, -1493, -4962, -11693, -22772, -39285, -62318, -92957?\n\"Answer: -181*f**3 - 2*f**2 - 20*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-1\/5))\/y**(2\/3))\/((y**(2\/5)*y)\/(y**1\/y)))\/(((y\/(y*y*(y*y\/y**(-1\/3)*y)\/y*y))\/y)**(-12)*y**(-7)*y*y*y**(-1\/3)) assuming y is positive.\nAnswer: y**(-893\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22\/3925 + -273439\/934150. Calculate the common denominator of 145\/102 and k.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19245 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 94963273 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 2:15 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 42195692.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32901 and 604182.\nAnswer: 6646002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*m + 5320 - 280. Calculate the remainder when m is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15\/124 + 7\/124. Let h = 52\/155 - i. Put 2, 5, h, 2\/9 in increasing order.\nAnswer: 2\/9, h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 7:16 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 43768*j**2. Let t(b) = 2*b**2. What is t(p(w))?\nAnswer: 3831275648*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + sqrt(242) + 0 + 0 + sqrt(242)*2 + 2)*6*3.\nAnswer: 36 + 792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729 = 103*j + 197*j - 4971 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 13*j - 22. Determine l(5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148\/427 + -5\/61. Let p = -1.6 - -10.6. Which is the smallest value? (a) s (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 12, 4*x - 8 = 5*t + 2*x. Suppose -3*l - 2*i + 6 = 0, -2*i + 2 = l - t*i. Factor 1\/4*m**3 + 1\/4*m**l - 1\/4*m - 1\/4.\nAnswer: (m - 1)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 1416.\nAnswer: 15576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586687789?\nAnswer: 181, 3241369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 35*y**4\/4 + 80*y**3\/3 + 55*y**2\/2 + 10*y - 242. Let s(z) = 0. Calculate z.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4411182*x**6 - 2080494*x**2.\nAnswer: -529341840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/9 and 19\/5943.\nAnswer: 17829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - b = -3*b - 34, -p = 3*b - 15. Suppose -16 = d + 5*s, -d - 3*s - p = s. Solve 2*t = -2, 2*t = 2*h + d*t - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1919 (base 10) to base 16\nAnswer: 77f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -21 - (0 - (-2 + 8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 + 3 = 0. Solve 5*k - 14 = m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 10470406?\nAnswer: 41881624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/577? (a) 304 (b) 2\/9 (c) -5\/4 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 19*y - 128. Find the third derivative of -y*n**2 - 53*n**2 + 266*n**6 + 5*n**6 + 16*n**2 wrt n.\nAnswer: 32520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = y - 96325, 50*y = 49*y + 5. What is the tens digit of a\/160 + 6\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30175.\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5691*a**3 + a**4 + 155*a - 5696*a**3 + 0*a**4 + 11385*a**3 - 3 as d + c*a**2 + q*a**3 + m*a + g*a**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 2\/(4\/(-82)). Let l(j) = 4*j**3 + 48*j**2 + 4*j + 75. Let t be l(-12). Suppose -4*r + f = t. Solve 0*p = r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2553, 2, -6, -84 in descending order.\nAnswer: 2, -6, -84, -2553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14244911 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, k: 3, f: 7}. Give prob of sequence hr.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4528 + -74.0072. Round u to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7042*x**2 + 2*x + 189613 wrt x.\nAnswer: -14084*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 - 3*w**2 - 26*w**2)*(3*w + 3*w - 5*w) - 4*w**3 + 5*w**3 - 40 - 1 as a*w + y*w**2 + m + s*w**3 and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182514\/(-3344) - -56) + (-279)\/(-248).\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2 + 5*x + 6. Give i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 675*z - 14284 = -w + 679*z, -2*z - 42842 = -3*w. Does 120 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 4*c - 1. Suppose -27 = 4*z - 3*a, -z + 0*a - 13 = -2*a. Let m be b(z). Suppose -m*s = -40 - 45. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59995330783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 94 - 406. Is 26 a factor of y\/5*(-90)\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 11. Put -2\/9, g, -0.3 in descending order.\nAnswer: -2\/9, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.485 + -487.785. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 699*o**4\/4 + 2*o**2 - 67*o - 689. What is the second derivative of h(s) wrt s?\nAnswer: 4194*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 18755210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27714?\nAnswer: 2, 3, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 - 1154*b\/9 - 55480\/3.\nAnswer: -2*(b + 285)*(b + 292)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/4)\/m))\/(m*m*m**(1\/8)))**(-15) assuming m is positive.\nAnswer: m**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1964466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 9\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 5 + (1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 543*m - 8962 - 1317 = 0 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 2, s: 4, h: 8, a: 1}. What is prob of picking 4 s?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g + 17*g + 13*g + (2*g + 0*g + 0*g)*(-1 + 1 + 1) + 0*g + 2*g + g - 5*g + 0*g + g as z + b*g and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20706, -41113, -61270, -81177, -100834, -120241, -139398?\n\"Answer: 125*m**2 - 20782*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 3. Let h be w(3). Let o = h - -2. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -0.05 (c) 3.67 (d) -0.3 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 36366360.\nAnswer: 36366360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((14\/(-32))\/(218\/(-1744))))\/((-18)\/3)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 48207894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3764 divided by 4?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w + 3*w + w**2 - 2*w + 4. Let z be g(4). Let h(n) = 3*n**3 - n + 2. Let u(l) = 6*l**3 + l**2 - 2*l + 4. Let v(b) = z*u(b) - 9*h(b). Factor v(d).\nAnswer: -(d - 1)**2*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 2964 - 2964.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760667427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -18*p + 138. Suppose 3010*b = 2987*b + 184. Calculate z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530, -451, -378, -311?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 10. Let f be p(-8). Suppose -3*b = -5*m + 139, 4*m + b + f*b - 122 = 0. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 20.745255606?\nAnswer: -16.745255606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 2*h**2 + h + 8. Let k(a) = 2*a**3 - 5*a**2 - 2*a - 17. Let x(v) = -6*k(v) - 13*z(v). Let u be x(-4). Solve 3*l + u = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {y: 1, j: 2, t: 7, n: 1, g: 7}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = u + 2*u. Let c(s) be the second derivative of -s**4\/12 - 5*s**3\/6 + 8*s**2 + 245*s. Calculate c(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1216) + 1 + 4 + sqrt(1216)) + (-3 + sqrt(931)*1 + sqrt(931))*2)**2.\nAnswer: 128*sqrt(19) + 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(2*h**2 - 5*h**2 + 4*h**2)*((4 - 3 - 3)*(0 - 1 + 0) + 7 - 1 + 0 - 1 + 0 + 2).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4094722.\nAnswer: 2, 17, 83, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8798\/2469 - 738\/823. Let 8\/3*r**3 - 2\/3*r**4 + 2\/3*r**2 + 0 - i*r = 0. What is r?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38447777549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14754 and 1146.\nAnswer: 2818014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3162 = 664*t - 16442 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k + 2*k. Suppose 0 = -3*q + 10 + k. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 + 49740*q + 992800 = 0. Calculate q.\nAnswer: -9928, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35225 (base 6) to base 15\nAnswer: -1772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/(108\/20250*-50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10215 + 0?\nAnswer: 10215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -85248 divided by -74\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 7 - 1. Let v be ((-39)\/(-9))\/(g\/18). Let z = -471 + 497. What is the highest common divisor of v and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1302 + 13?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 60 and 74543\/1241 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let j = 263 - 262. Let m(k) = 2*k - 2. What is j*m(l) - 5*h(l)?\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2619934, 2619932, 2619930, 2619928?\n\"Answer: -2*q + 2619936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*o**2 + 31\/2*o - 63\/4.\nAnswer: (o - 1)*(o + 63)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 75. Suppose k*i - 70 = -26*i. Solve -i*p - 4 = 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 28. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 13 = 2. Sort 1, -4, j.\nAnswer: j, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -5021?\nAnswer: 5025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 66 = 5*u + b, -3*u - 36 = -3*b. Let w = u - -18. Let v(n) = 2*n - 7. What are the prime factors of v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 8\/5 (b) 2\/3 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, 1 in descending order.\nAnswer: 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 222320310110 (base 4) in base 16?\nAnswer: ab8d14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -51*m - 3512. Let b(k) = 128*k + 7022. Calculate 2*b(h) + 5*n(h).\nAnswer: h - 3516","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -243?\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3411 (base 7) in base 2?\nAnswer: -10011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*x = -11, -3*g + 6 = -x + 2*x. Let r = -1.3 - -1. Let u = 0 + r. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*w - 59*w - 1435 - 67*w)*(-w - 1 + 1).\nAnswer: -w**2 + 1435*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44083 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333 (base 4) to base 6.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1430 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565893.3cm to kilometers.\nAnswer: 5.658933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -353 * -0.088\nAnswer: 31.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/18 - 2*h**3 - 17*h**2\/3 - 13*h + 1. Factor p(z).\nAnswer: -2*(z + 1)*(z + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-24))\/((-855)\/(-38))?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 5*l - 6. Suppose -5*g = -36 + 6. Let u be t(g). Which is smaller: u or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227602766.\nAnswer: 2, 1113801383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 8*f**2 + 6*f + 28. What is t(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -992.5132952 to the nearest ten.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*k - 30, 5*g - 30 = -2*k. Suppose -11 = g*c - 59. What is the highest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(44) + -5 + (-6*(sqrt(200) + -2) - sqrt(200)))**2.\nAnswer: -973*sqrt(2) + 19419\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3)\/p)**(20\/9))**(-1\/7) assuming p is positive.\nAnswer: p**(80\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 2 - (-143)\/52. Let i = 41 + -46. Which is the third smallest value? (a) -0.8 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by -63.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 240231 (base 5) in base 14?\nAnswer: 32da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10419720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -3 - (-5 - (-8 + 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 8:56 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1439249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16169137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -8. Suppose -30 = -0*g + p*g. Which is the nearest to 0? (a) -2 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 73*h**5\/60 + h**4\/12 + 395*h**3\/6 + 82*h**2 + 2*h. Find the first derivative of v(j) wrt j.\nAnswer: 146*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23113023230 (base 4) in base 16?\nAnswer: -2d72ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 6\/35 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -1390?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1025978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41615, 5, 166.\nAnswer: -41615, 5, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + 45. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 262*i**2 + 23*i - 82*i**2 + 319*i**2 - 27*i - 13*i**2 to o*i + r*i**2 + a and give r.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 6. Let w(d) = 5. Let t = -783 + 786. Let q(n) = t*v(n) + w(n). Let p(x) = -x**2. Give p(q(c)).\nAnswer: -9*c**2 + 78*c - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -32*w - 6. Suppose -o - 1 = s, 7*o - 22 = 9*o - 2*s. Let p(l) = -31*l - 7. Calculate o*p(j) + 7*a(j).\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*514\nAnswer: -10.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1, 48564?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 - 10 + 18 - 8.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 10) + -11 - -9 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + 3 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 2. Let j be (-1 + 0)*2\/(-14). What is the second biggest value in j, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343961 smaller than 343961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 - -242.7. Let k = 11 - l. What is k rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 * 0.0653\nAnswer: -2.4814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 30 = -0*u + u, -q + 2*u + 6 = 0. What is the derivative of -30*f**2 + 131 + q*f**2 - 114 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8401503*a**2 - 547310*a + 2 wrt a?\nAnswer: 16803006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -50274.8986 to the nearest integer.\nAnswer: -50275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -27408, 108 in descending order.\nAnswer: 108, -7, -27408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1836376 + -1836376.32000268. Let c = 0.32 + g. Round c to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 748445.\nAnswer: 748445.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66441409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d45 (base 14) to base 10.\nAnswer: -24561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t + 237 + 130 + 97.\nAnswer: -22*t + 464","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 593 + 593.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138\/29 + -719\/145. What is the closest to -2 in -5, -2, y, -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:05 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 287, 435, 585?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/28? (a) 5 (b) 198 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 5*k**2 + 9 + (1 + 2*k**2 - 1)*(-1 + 0 + 0).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -1095 - 429. Suppose -8*h + 3906 + d = 0. Suppose -126 = 2*k + 2*u - h, 5*k = -4*u + 988. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*k + 166 wrt k.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 629921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - q. Let r(w) = -4*w**3 + w**2 + w. Give 6*c(v) + r(v).\nAnswer: 2*v**3 + v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11284 and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 3548?\nAnswer: 3548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 27412*z**2. Let l(o) = -87*o**2. Determine l(j(p)).\nAnswer: -65373343728*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 > -12782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8308 + 3136. List the prime factors of z.\nAnswer: 2, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*j - 2152 = -4*j, 2*z = 4*j + 1448. Suppose -5*s = -4*d + z, -s - 6 = -4*s. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57205 is divided by 57198?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/12)\/((-18)\/(-24)). Let g(i) = -2*i**2 - 2*i**2 + 2*i**2 + i - 2*i**2. Let d be g(1). What is the closest to -1\/3 in d, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*((-2*sqrt(228))\/sqrt(12))**2.\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {j: 3, l: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1. Let k(s) = 237 + 232 + 234 + s - 705. Suppose 0 = 5*t + 9 + 16. What is t*r(v) - 2*k(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92370434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(136) - sqrt(136) - sqrt(136))\/(sqrt(56)\/sqrt(7)*2))**2.\nAnswer: 2057\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 - 200*z**3 - 1038*z**2 + 8560*z + 9400 = 0. Calculate z.\nAnswer: -94, -10, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 902104 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 230*n**3 + 58*n**2 - 3*n + 7. Let r(g) = g**3 - g**2 + g - 2. Let z(a) = 3*r(a) + s(a). What is the third derivative of z(b) wrt b?\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 648425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 5*v**2 - 2*v + 1. Let z = 20 + -20. Let g(b) = -b**3 - 2*b + z*b + 2 + 0*b + 2*b**2 - 7*b**2. Let t(o) = -3*g(o) + 2*l(o). Calculate t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 u when three letters picked without replacement from {c: 2, e: 2, u: 1, v: 1, n: 10}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 2:23 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 34 = -3*j - 4*u, u = 3. Calculate the remainder when 41 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 74*d. Let b be u(3). Suppose 0 = -3*s - 0*s + b. Suppose -3*n + s = -190. Calculate the greatest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072 is divided by 123?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38dc2 + -4?\nAnswer: -38dc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 6*l + 4. Let b be n(-6). Suppose 0 = -b*j - a + 3, 6*a - 3 = 2*j + 5*a. Solve 0 = -j*t - t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*n**2 - 27*n**2 - 37*n**2 - 65*n**2 - 29*n**2 to k + h*n + c*n**2 and give c.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1547, -3093, -4639, -6185?\n\"Answer: -1546*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 833, 1820, 3187, 4928, 7037, 9508?\nAnswer: 12335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 r when four letters picked without replacement from {r: 1, v: 3, m: 2, t: 4, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 276\/71 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 5) in base 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 10. Suppose m*k = -4*k + 12. Which is the third smallest value? (a) -1\/2 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8628919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/10)\/v**8)\/((v\/v**(2\/5))\/v**(-2\/17)) assuming v is positive.\nAnswer: v**(-1499\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16464 or -22281?\nAnswer: -16464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 62*h**2 - 121*h**2 - 3 + 64*h**2 - h. Determine q(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/7)\/(231\/42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 6:15 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.790716 decades?\nAnswer: 0.0790716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + t - 1 - 61*t**2 + 8*t**2 - 4*t in the form l + o*t + n*t**2 and give n.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 37088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + -7 + 15 - 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(968) - -2*sqrt(968) - sqrt(968))*-4)**2.\nAnswer: -704*sqrt(2) + 61956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.41 * -6.54\nAnswer: 2.6814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 1. Let l(q) = -w*q + 13*q + 8 - 8. Let n(k) = 2*k**2 + 0*k**2 - 6*k**2. What is l(n(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-18 + -7 + 16) - 10. Let v(i) = 47*i - 4. Let b be v(-6). Let p be (-30)\/(y*(-1)\/b). What is p rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 36. Let w(q) = -452*q - 13. Give w(g(f)).\nAnswer: 904*f - 16285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/45 - -263\/315. Let g be 9 + -1 + 6 + (-752)\/56. Factor n*s + g + 2\/7*s**2.\nAnswer: 2*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38140108 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-4))\/((-3)\/74)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 121 + 299 = 0. Suppose 3*y - b = -3*y. Suppose -23 = 4*u - y. Solve -4*f = 4*r + 16, u*f - 2 = 3*r + f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czmzybvc. Give prob of sequence mzv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 132770 to the nearest 1000.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3\/(6\/2). Let p be 32*j + 0\/(-1). Suppose 4*u + 3*z = z + p, -25 = -3*u - 2*z. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (11 + 4) - -16 - (114 - (-7 - -4))\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 250182, 500356, 750530, 1000704, 1250878, 1501052?\n\"Answer: 250174*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + m + 3. Let u be x(-3). Suppose u = -4*k + z + 23, 0 = -3*k + 3*z + 15. Solve -3*r - 10 = 4*i - k*i, -13 = 4*r + i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17565 (base 9) to base 4\nAnswer: -2331200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.24, 1, 11.1, 2030?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 19*m**2 - 4*m + 2. Let u be q(-6). Suppose u = 4*r - 2*k - 0*k, -4*r + 711 = -3*k. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 111, 126, 147, 174?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, w: 1, y: 1, p: 1}. Give prob of picking 1 w and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -14 in decreasing order.\nAnswer: 7, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a gram in milligrams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2090*o**2 + 516*o.\nAnswer: 4180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -197 + 196.7. Which is the second smallest value? (a) 28 (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41333875 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + 1 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a - 4*a**2 + 26*a + 7*a + 3*a = 0.\nAnswer: 0, 37\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 483 (b) 0.1 (c) 10 (d) -4 (e) -17 (f) 0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 52. Suppose z - 774 = -f*z. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.32 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/80 and 37\/13264.\nAnswer: 66320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7206046*j**4 - 6536622*j wrt j.\nAnswer: -86472552*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21053492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 + (2 - 0) + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let u(q) = -7*q + 4. Let j(x) = -u(x) - 6*v(x). Let n = -3 - -5. Let h be 13\/4 + n\/(-8). Determine j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-34 - 0) - 2. Let k be (-779)\/(-19) + -1 + -9. Is z greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 take away 2827?\nAnswer: -2720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 + -175. What is the lowest common multiple of (3*-2)\/(x - (-50)\/(-4)) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -647\/9. Let f = 67 - 66.5. Let v be (-14)\/6 - (-1)\/3. What is the closest to v in h, -0.1, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x + 6. Let n(a) = 217*a**2 + 2*a - 18. Give -3*d(f) - n(f).\nAnswer: -214*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7016034 and 6?\nAnswer: 7016034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p + 4. Suppose 2*i + 49 - 27 = 0. Let h be (i - (-102)\/10)\/(1\/(-5)). Let o(n) = -6*n - 3. Determine h*b(m) + 5*o(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*m - 126*m = 35, -3*m = 3*h - 108852. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**0)*l**(-1))**0\/((l\/(l\/(l\/(((l*l**(-5))\/l*l)\/l))))\/l**(-1\/4))**11 assuming l is positive.\nAnswer: l**(-275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-14) + (-2)\/4. Let p = -0.03 + 0.02. Let x = -0.51 - p. Put x, u, -5 in decreasing order.\nAnswer: u, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1220530?\nAnswer: 2, 5, 122053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.7418 + 0.2582. What is the nearest to -1\/2 in -0.1, 10, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 199768, 399580, 599368, 799126, 998848, 1198528?\n\"Answer: -u**3 - 6*u**2 + 199837*u - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1105*l**4\/3 - 20950*l**3 + 396340*l**2 - 7432990*l\/3 - 308655.\nAnswer: 5*(l - 19)**3*(221*l + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59016287?\nAnswer: 11, 1693, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*a - 329 = 0, 4*c - a + 0*a - 271 = 0. What are the prime factors of c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*k*v + 6*f**2*v**2 + 2*f**2*v + 46*f*k*v**2 - 23*f*k*v + 2*k*v**2 - 2*k*v wrt v?\nAnswer: 12*f**2 + 92*f*k + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25438636.\nAnswer: 2, 6359659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295854*g**3 - 7*g**2 - 28160038*g.\nAnswer: 1775124*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 8*k + 27. Let o be t(5). Calculate the greatest common factor of 348 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18947387 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -427 - -1697\/4. Do -3 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1349 - 1351. What is the closest to 1 in -6.5, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f + 1. Let z(b) = 27*b**2 - 23 + 47*b**3 - 16*b**3 - 89*b**2 + 15*b**3 + 23*b + 39*b**2. What is 23*i(g) + z(g)?\nAnswer: 46*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**4 - l**3 - 5665*l**2 - 1570244 wrt l?\nAnswer: 12*l**3 - 3*l**2 - 11330*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 309533.855 to the nearest 100.\nAnswer: 309500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1274344027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 29*-0.31\nAnswer: -8.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f\/(f*f**(-4\/17))))\/(f**(-14)*f) assuming f is positive.\nAnswer: f**(234\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10\/19 - 59\/76. Let m = 6\/37 - -44\/185. Which is the closest to 1? (a) r (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 8, -268 in descending order.\nAnswer: 8, 5, -3, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -13\/2, 1, -4\/5 in increasing order.\nAnswer: -13\/2, -4\/5, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 51. Calculate the smallest common multiple of k(21) and 105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**6)\/((q\/(q**(1\/3)\/q)*q)\/q)*(q*q\/q**4)\/(q\/(q**2\/q)*q) assuming q is positive.\nAnswer: q**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115725264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/((-27)\/(-9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(-3*sqrt(36)\/(sqrt(12)*1))**2 + 2 + (1*(sqrt(3) + (sqrt(3) - sqrt(18)\/sqrt(6))) - (-3 + sqrt(48))).\nAnswer: -3*sqrt(3) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -1*sqrt(117)*3)\/(sqrt(144)\/sqrt(4)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180764*h**3 - 44*h**2 + 481*h + 10?\nAnswer: 1084584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**3\/6 - z. Suppose 2*h - 10 = 0, 5*x - 23 = -5*h + 12. Let j(t) = 0*t**x - 5*t**2 + 3*t**2 + 0*t**2. Calculate j(a(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 2*s**2 - s**2 - s**2 + 4*s - 4*s + (3*s**2 + s**2 - 3*s**2)*(59 - 34 - 34))*(-2*s + 1 - 1) + 2*s**3 + 5*s**3 - 4*s**3.\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69984285 and 6440?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -3, 23570.6, -2\/11, -6.\nAnswer: -6, -3, -2\/11, -0.04, 23570.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 6\/741151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.863 - 0.137. Which is smaller: v or 9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5*1\/(-3))\/((-17)\/51). Suppose -3*r + i*t + 102 = -1795, 0 = r - 2*t - 633. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/120874 and -93\/2.\nAnswer: 120874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4 - 0. Suppose -48 = -2*p + 2*w, -6*p + 112 = -2*p + h*w. Let y = 63 + 14. What is the remainder when y is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 22*l + 115. What is the units digit of v(50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2294*u + 14 = 2308*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 29*a - 887. Determine u(32).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8049490679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.8 * 6339.\nAnswer: -62122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-181 - -4)*(0 - 1). Suppose 6*p = -5*y + 2*p + 299, -3*p = 3*y - l. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3 - 48. Let n = k - 1. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*i**4 + 949*i**3 + 3803627*i**2 wrt i.\nAnswer: -1272*i + 5694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 1. Let o(a) = -3*a + 1. Let z(k) = -o(k) + 4*u(k). Let f be z(-6). Let b(h) = -6*h**2 + h - 1. What is b(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -32 - 2 + 9 - 7. Let s(w) = 23. Let b(r) = -5*g(r) - 7*s(r). Let u(x) = x + 10. Determine -6*b(t) - u(t).\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + 3 + 11 + -11 + -26.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22628647 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.013 smaller than 167.481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3389837, 6779676, 10169515, 13559354?\n\"Answer: 3389839*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 6, x: 3, m: 1, b: 1}. Give prob of picking 3 l.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 153960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25.1127815 and -8081.\nAnswer: -8106.1127815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 24. Let a = p - -46. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 16 = 52 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 9. Let q be u(-6). Calculate the highest common divisor of 297 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 11643*t - 23274.\nAnswer: -3*(t - 3879)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2611660*l**3 + 3440*l**2 + 199 wrt l?\nAnswer: 15669960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -269944.2 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -184*u**5\/5 + 7004*u**4 - 1591392*u**3\/5 - 1102972*u**2\/5 + 664072*u\/5 + 140448\/5 = 0.\nAnswer: -1, -4\/23, 1\/2, 77, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 375*w**2 + 12 - 12 + 414*w + 416*w - 825*w to s + g*w + t*w**2 and give t.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 1014 + 4*h - 817 + 314.\nAnswer: -h - 1517","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33221808 and 504444?\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8585371s?\nAnswer: 858537.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1044, 490 in descending order.\nAnswer: 1044, 490, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58\/13 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 499 - 509. Let p(t) = t**3 + 12*t**2 - 4*t + 75. Let d be p(c). Calculate the highest common factor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0*s + s + 6 - 6. Let x(a) = 7*a**2. Give k(x(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 18*u = -21*u - 24, -2*l - 5*u = -2. Let r(b) = -2*b - 1. Determine r(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 1718 = -3118. Suppose 154*k = g*k - 38. Calculate the remainder when k is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = 11*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 + 6*i**2 + 19*i - 5. Let f be s(-3). What is the first derivative of 2*t**3 - 2*t**3 - 7826*t**4 + f + 7905*t**4 wrt t?\nAnswer: 316*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1. Let p(q) = 4*q - 2. Let c(b) = 2*p(b) - 4*y(b). Let o(h) be the first derivative of -h**3 - 325. What is o(c(g))?\nAnswer: -192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000061170817 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 19703958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73841079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1104, -2182, -3260?\nAnswer: -4338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 9) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6551 - 6551 - 4*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 504 + -3504?\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*(-114)\/7 - -4*(10 - 8)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 223324 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/10)\/((-8)\/(-80)). Let o(g) = 1. Let p(k) = k + 3. Let b(y) = d*p(y) - 6*o(y). Let t(u) = -2*u**2. What is b(t(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149274.059 - 149202. Let t = d + -0.059. Let m = t + -38.8. Round m to 0 dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -5231265?\nAnswer: -4\/1743755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(112\/21 + -4). Put 41, i, 3 in increasing order.\nAnswer: i, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142298 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 3*m**2 - 3*m - 4. Let s be t(4). Suppose -10 - 14 = -3*k + 2*g, 2*k - g - 16 = s. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 5*a + 6. Give n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 4*b - 53. What is g(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h - 7. Let d be t(5). Suppose 4*b - 90 - d = 0. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -54.5. Let u = w + 7.3. Which is greater: 0.02 or u?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose -l = x - 10001, -4*l + m*x = -19005 - 20992. What is l rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 5*g + 1. Let p be s(-4). Let l be 10\/1 - (p - 4). Suppose r + l = 2*m, 0*r - 15 = -5*m - 5*r. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbcihicdbcdiccihdh. What is prob of sequence ic?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 6*g**2 + 8*g + 6. Let r be w(7). Let i = 22 - r. Let l = 10 - i. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 1.95. Let q = 177.3 - 180.3. Which is bigger: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1 + 1)\/(1*(-648)\/12)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 994, -11.\nAnswer: -11, 0, 5, 994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(0*j + j - 4*j)*(0 + 0 - 6).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-20)*5090\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -245445?\nAnswer: 490890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9164 and 0.05.\nAnswer: 458.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - (-6 - (13 - 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - 8708\/(-18)) + (-70)\/(-315) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 7:18 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:54 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 6. Let i(x) = -3*x + 2. Let g(r) = -4. Let y(n) = -g(n) + i(n). Determine -4*t(f) - 5*y(f).\nAnswer: 3*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -148066592\nAnswer: -296133184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1006 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7590\/7 + -1084. Sort 11\/4, 0.1, l, -4 in ascending order.\nAnswer: -4, 0.1, l, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-985 - -1020) + 4 + -18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-4)*(1 - 0). Suppose 37 = u*r - 26. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 25*j + 745. Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607.4095 centuries to months.\nAnswer: 728891.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2846912*n**3 + 136*n + 1498.\nAnswer: 17081472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(76))*-5 - (sqrt(76) + 0 + 3) - (4 + -2*sqrt(76)*-1))*-3)**2.\nAnswer: 576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 a when four letters picked without replacement from hhhnnnhhahhhnhhnnhh?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ggkgggqggkq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9))**16)**(-15)*((p\/(p*((p*p**1\/p)\/p)\/p))**(-39))**2 assuming p is positive.\nAnswer: p**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 + x**3 - 5*x**3 + 1 + x + 3*x**3. Let l be g(3). Suppose 15 = 2*f - l. What is the lowest common multiple of 6 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13357356 + -32?\nAnswer: -13357388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in -3, -36\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1432 - 580*l + 1432)*(6*l**2 + 0 - 1 + 0).\nAnswer: -3480*l**3 + 580*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 20\/9 (c) 2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/4071 - -9048\/1357. Let x(b) be the second derivative of 18*b + 25*b**2 - 19\/24*b**4 + 0 - j*b**3 - 1\/40*b**5. What is a in x(a) = 0?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 + -2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -23, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*w - 80, -4*w = -3*s - 9*w + 60. Solve -g - s = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 1822513471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/(-198) - (-160)\/144?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -979 - -973. Sort 0.5, c, -2\/3, 0.\nAnswer: c, -2\/3, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 + 2 = 14*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 + -3.29. What is the nearest to 2 in i, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 5*b - 6. Suppose -5*q + 0*q = 85. Let k(u) = -u**2 - 18*u - 25. Let z be k(q). Let d be o(z). What is the highest common divisor of d and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 + 3\/2. What is the first derivative of 0 + a + 0*y**3 - 4*y**4 + 0*y**3 wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 5*k - 5. Let g(w) = -5*w**2 - 4*w + 7. What is -4*a(v) - 5*g(v)?\nAnswer: v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.18 (b) -0.3 (c) -27\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 421559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*n + 4*n + 5*n)*(95*n - 88*n - 172*n).\nAnswer: -2145*n**2 - 330*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f. Let i be (f*1\/(-2))\/(-1). Put i, -4, 2 in descending order.\nAnswer: 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222232200311 + -1?\nAnswer: -1222232200312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35800 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilolotte. Give prob of sequence ei.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2074 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*b = 80*b + 50. Let v(w) be the third derivative of 0 - w**2 + 4\/3*w**3 + 7\/6*w**4 + 1\/3*w**b + 0*w. Factor v(c).\nAnswer: 4*(c + 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = -23*l + 52185. What are the prime factors of l?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -1 - 16\/(-2). Let a = 39 - b. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3802 + -3665. What is the remainder when x is divided by 76?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09649574 - 21423883.09649574. Let w = i - -21423922.999934. Let u = w + -40. Round u to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 129 = -2*s + 133, -5*a - 4*s + 5*s + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4 + 1068*n**3 - 19950*n**2 - 40352*n + 1492608 = 0.\nAnswer: -552, -8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-70))\/((-1)\/((-10)\/(-2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58\/393 + 350\/1179. Let y = 0.4 - -23.6. Let v = 9 - y. Which is the closest to -1? (a) x (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 206, 178, 100, -46, -278, -614?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13\/3))**(2\/107)*n**6\/n**(1\/9) assuming n is positive.\nAnswer: n**(5593\/963)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -49*m**5\/12 + 2*m**4\/3 + m**3\/3 - 242*m**2. Find the second derivative of j(n) wrt n.\nAnswer: -490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 26*q**2 + 8*q + 19. Let j = 137 - 123. Is i(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + g - 8, 2*z + 12 = -5*g - 0*g. Suppose 5*h + 4*n = -18, -5*h - z - 12 = 3*n. What is the units digit of h\/5 + 14\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cfeb0 (base 16) to base 13.\nAnswer: 23a832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + u = -13*i + 13, 3*i + 13 = 5*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*f - 12 = 0, h + 36 = 5*h - 4*f. Let d = 8 - h. Find the first derivative of -2 - 35*r**d + 7*r + 22 - 7*r wrt r.\nAnswer: -105*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j - 12. Let h be c(3). What is the tens digit of 2\/(-9) - (3 + (-2139)\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2, -77, 0.1, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555361454 to the nearest integer?\nAnswer: 23566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 8, j: 5}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 11. Let s = 10.03 - k. Sort 4, -2\/5, s in increasing order.\nAnswer: -2\/5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let d be (-1 - (-1 - 2))*-1. Let z(v) = 6 - 5 - 3 + 0. Let j(s) = -4*s**2 - 88. Let l(t) = d*j(t) + 88*z(t). Determine l(n(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 - h**2 + 4*h**4 + h - 1 - 3*h**4 + h**4 in the form x*h**4 + l*h + t*h**3 + y*h**2 + o and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 277, 283, 293, 307, 325, 347?\n\"Answer: 2*q**2 + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = 2. Let x = 4.9 + 0.1. Let h be ((-2)\/15)\/(2\/(-6)). Sort h, x, c.\nAnswer: h, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-44)\/176)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3162 + 3161. Put 1, -35, -3, n in decreasing order.\nAnswer: 1, n, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/7, 22.5.\nAnswer: -5, -1\/7, 22.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 271*j**2 + 23543*j?\nAnswer: 542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moyo when four letters picked without replacement from ylooqllqlqqlloml.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 + 3239 = 221*z - 219 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 385, 385, 375, 349, 301, 225, 115?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*n**3 + 2826*b**2*n**2 - 39*b**2*n + 3*b*n**3 - 6*b*n*t**2 - 1091715*n**3*t**2 wrt n.\nAnswer: -6*b**2 + 18*b - 6550290*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l. Suppose -3*d + v + v - 3 = 0, v = -3. Let k(n) = n**2 + 2*n. Let u(w) = d*k(w) - 4*z(w). Suppose u(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) -0.5 (b) 0.4 (c) 3\/383 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179*c**3*f*l**2 - 132*c**3*f*l - c**3*f - 22*c**2*f*l**2 + 10*f*l wrt l?\nAnswer: 358*c**3*f - 44*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**3 - 308*v**2 + 68*v + 109. Is f(60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 x when three letters picked without replacement from {v: 1, x: 2, l: 1, s: 1, q: 1, d: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-529)\/(1\/3*(-4 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20736591221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134360901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v = -84*v + 270. Solve v = -35*r + 40*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 6:31 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u - 14. Let g be j(-5). Let m = 53 - 31. What is the remainder when (5 - -35 - -3)\/g is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30744 = -16*q + 58*q. Suppose 21*n = 27*n - q. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**5 + t**4 + 698*t**3 + 11*t**2 - 2442*t + 3 wrt t?\nAnswer: 60*t**2 + 24*t + 4188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**4\/24 + b**3\/6 - 73*b**2 + 1. Let s(d) = -5. Calculate -s(c) - 2*t(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2641*l**2 + 24563.\nAnswer: 5282*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 896, 1808, 2744, 3704, 4688?\nAnswer: 5696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 16440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 27*y**2. Let g(p) = 212 - 70 - 71 - 71 - 4*p**2. Determine o(g(k)).\nAnswer: 432*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621.8336m to kilometers.\nAnswer: 0.6218336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8016, 16027, 24038?\nAnswer: 32049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 6*f - 6. Let l be m(-4). Suppose -2 = -4*u + l. Suppose 3*r + u = 13. Solve -11 = k - 8*v + 3*v, -r*k = -2*v - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2448) + -1)*5.\nAnswer: -3 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 184?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 978 and 918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20904 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 9*u - 30. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 10502?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 545 - 320. Let l = 228 - w. Which is the nearest to -0.3? (a) l (b) 6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(-2*p - p + 4*p) - 3*p - 2*p + 4*p)*(-66 - 16 - 97).\nAnswer: 358*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 131, -1\/45, -1.174 in descending order.\nAnswer: 131, 5, -1\/45, -1.174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.335, 2, -10, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.5 + -17.9. Let u = -38.81 - -39. Let g = -0.49 + u. Sort 0.3, 2\/3, t, g in decreasing order.\nAnswer: 2\/3, 0.3, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19336808 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3071*z + 3044*z - 54 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 0.3, 0, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*s - 2 + 3 - 1 - 69*s)*(2*s**2 + 0*s + 0*s) to u + k*s + t*s**3 + n*s**2 and give t.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.02, 26.83?\nAnswer: 26.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4790 = 4*l - a, 6*l - 5*a - 3601 = 3*l. Is l\/6*6\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3*r - r)*(4*r - 6*r - r)*(3*r - 2*r + 0*r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 980 or 983?\nAnswer: 980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 + 2.4. Round u to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20551 divided by -5186.\nAnswer: -20551\/5186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25b2cc (base 16) in base 11?\nAnswer: 1438224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 6\/11 (b) 1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10 - 6 - 6)*(5 - 3 + 0) + 0 + 0 + 3)*(0*i**5 + 0*i**5 + i**5 + (0*i**3 + i**3 - 5*i**3)*(-2*i - 2*i**2 + 2*i) + i**5 - i**5 - i**5).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 80933502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n - 50 = -4*v, -3*v = 4*n - 32. Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(-6)*m)))\/m**2)\/(m**5\/m*m*m**(1\/4)) assuming m is positive.\nAnswer: m**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-30)\/3 + -2. Is u at least as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1578.1 - 1578. Let r = -0.2 + 1.2. What is the closest to r in -4\/5, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 minutes after 11:40 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -127?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21312232323301 + 3?\nAnswer: 21312232323310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h*h)\/h)\/h**(-2\/3)*((h*h*h\/h**(2\/5))\/h)\/(h*h**(-2))*h**(-4)*h*h*h**(-1\/3)*(h*h**0)**(-1\/48) assuming h is positive.\nAnswer: h**(73\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -247 - -247.23. Let s = j - -0.07. Let l = 27 + -32. What is the fourth smallest value in -40, s, -0.1, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 15, -4, -37, -84?\n\"Answer: -7*y**2 + 16*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5 + (11 - 23 - -57)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - 106*x - 187*x)*(-11*x - 84 + 84).\nAnswer: 3124*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58498*w**2 + 289*w**3 - 58498*w**2.\nAnswer: 289*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-12) + 1\/(-4)*-7847727. Let r = v + -555051. Suppose 5*m = -2*q - 17000010, -r + 11606905 = -3*m - 5*q. What is m rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 1:03 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (75 + -2) - (-17 + 11 - -12) - -15?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*w**2 + 6*f**2*w - 271*f*w**3 + 22*f*w + 2*w**2 wrt w?\nAnswer: 2*f**2 - 1626*f*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 3*x**2 - 3985*x - 15978. Determine l(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6071.9 - -6072. Let q(z) = -6 + 0 + z**2 - 6*z - 2*z**2. Let h be q(-5). Which is the second smallest value? (a) h (b) p (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (874\/552)\/((-2)\/24)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 - 4*n**2 - 3492*n + 6*n**2 + 2*n**2 + 3492*n.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2904088?\nAnswer: 2, 11, 61, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 39*p - 3497. Give g(53).\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 77*d**5\/30 + d**4\/3 - d**3\/3 - 10*d**2 - 2. What is the units digit of l(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 4*v**2 - 7*v - 8. Determine q(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 207625\/2265*((-429)\/220 - 3\/(-4))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/37))\/l*l*l**(1\/20)*l assuming l is positive.\nAnswer: l**(1537\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 700*a**5 + 4*a**3 + 11058*a.\nAnswer: 14000*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5078519.\nAnswer: 5078519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 20, -5, -22, 1, 6 in ascending order.\nAnswer: -22, -5, 1, 6, 20, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 86, -222, -744, -1480, -2430?\n\"Answer: -107*d**2 + 13*d + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226 - 233 + 459 + 16*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 2 - 3)*(-7*q**4 + 3*q**4 + 3*q**4) + (51 + 223 - 59)*(2 + 3*q**4 - 2) + 0*q**3 + 0*q**3 + q**4.\nAnswer: 640*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/21)\/u)\/u)\/(u\/(((u\/(u\/u**(-32)))\/u)\/u))*(u*u**(4\/3))\/u*u*u**(16\/5) assuming u is positive.\nAnswer: u**(-1103\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -23, 4, 5, 127.\nAnswer: -23, -2, 4, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -11*z + 282. Calculate r(20).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.19 (b) 0.3 (c) 253 (d) 0 (e) -5\/3 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s = 68*s + 24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 15. Suppose 0 = 4*g + w - 3 - 3, -3*w + m = 0. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*r = -2*r - 96, -3*r + 36 = -3*s. Let h(q) = -q - 33. Let j(v) = -v - 32. Let o(a) = 3*h(a) - 4*j(a). Does 13 divide o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -722 - -722.00662. What is r rounded to four dps?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -2\/3, -2\/11795, 5?\nAnswer: -2\/11795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4079100 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 30. Let k be a(15). Let p be (-447)\/(-5) - k\/(-25). Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-10 + 19)) + 39 + 26?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 s when four letters picked without replacement from llshhhhsssslsl?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.5, -0.2438?\nAnswer: -0.2438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4641 or -4282?\nAnswer: -4282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)\/((-5)\/(-15)). Suppose -5*c - 32 = -4*z, 2*z - 5*c - 16 = -2*c. Suppose -u*j + 19 = -z. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1685*y = 3849*y + 2157*y + 138 - 112484 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2790 + -25082\/9. What is the common denominator of a and 6\/15 + (-293)\/45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n - 6*n - 37*n - 37*n.\nAnswer: -57*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9683 by 421.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 9. Let s = 1 - 8. Let t = s - -11. Let k be f(t). Sort 2, k, 1 in descending order.\nAnswer: k, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -100 in increasing order.\nAnswer: -100, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 3*m - m)*((-3 + 2 + 4)*(2 - 4 + 1) - 1 - 3 - 1).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 532, 774, 988, 1168, 1308?\nAnswer: 1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1344 + -345. Suppose 0*z = -4*d - 3*z + 21, 9 = d + 2*z. Suppose -d*o + b = 3*v, o - 281 = 3*v + 68. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9499\/5143 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6964 - 6936. Solve v - 31 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + o + 2989 = 3015, 2*o = -5*s + 42 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-29)\/l)**31 assuming l is positive.\nAnswer: l**(-899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3026806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 7*u**2 - 9*u + 1. Suppose 2*n = -3*m - 5, -2*m = -2*n + 6*n + 22. Let t be y(n). What are the prime factors of t*(0 - 4\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*k + 193*k - 470*k)*(4 + 2*k**2 - 4 + (6 - 2 - 2)*(-k**2 + 0*k**2 - k**2)) - 10*k**3 + 8*k**3 + k**2 + k - 5*k**2.\nAnswer: 336*k**3 - 4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 245*f + 984. Let t be q(-4). Solve t*y = -3*o - 32, -4*y + 30 = -6*y - 5*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:31 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179421?\nAnswer: 3, 11, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-10))\/(12\/(-10)). Let q = -3112 - -3108. What is the biggest value in 1\/5, -1, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0*d**2 + 0 - 9\/50*d**5 + 9\/20*d**4 - 2*d + 0*d**3 + 1\/50*d**6. Factor y(x).\nAnswer: 3*x**2*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4 - 6483314*m**3 - 6483316*m**2 = 0.\nAnswer: -1, 0, 3241658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-105) - ((-704)\/(-200))\/(12\/(-10))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 473 and 59813?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 1. Let u be l(1). Let k = -151\/196 - -1\/49. Which is the third smallest value? (a) k (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 50041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39452689, 78905377, 118358065, 157810753?\n\"Answer: 39452688*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31 and -8083.\nAnswer: -8114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n. Let c(v) = -v - 19. Let o be c(-9). Let f be (-35)\/(-14)*(-12)\/o. Does 4 divide r(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015817 to four dps.\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(2 + 3 - 4)*(0 - 3 + 4)*(-4*o + 2*o - 3*o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1418, -2969, -4810, -7085, -9938, -13513?\nAnswer: -17954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.002 + 0.001845. Round a to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t**3 - t**2 - 3*t - 3. What is i(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -23*r + 0*r**2 + 1\/30*r**5 + 0*r**3 + 0 + 2\/9*r**4. Let m(f) = 0. Calculate f.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*16087.\nAnswer: -8043.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/25, 1\/4, 1, -3, -2?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5643472 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 35*z**2 - 14*z + 23. Let d be w(-35). What is the highest common factor of 27 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, w: 3, s: 3, k: 4, t: 3}. Give prob of picking 2 t and 2 k.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -63, -3, -8, 20, 6 in increasing order.\nAnswer: -63, -8, -3, 2, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 9*c**2 + 2*c - 1. Is j(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 14*z**4 + 104 - 108 - 26*z**4 - 17*z**4 - 3*z - 24*z**4 to the form x*z + s*z**2 + j + k*z**3 + y*z**4 and give y.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8825*g - 1859*g + 562*g - 2155*g - 3178*g to the form t*g + a and give t.\nAnswer: -15455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-2))\/((3\/(-49))\/3))\/((-6855)\/(-2285))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 10*m + 11. Let f(b) = b**3 - 8*b**2 - 8*b + 2. Let g be f(9). Let r be n(g). Let k be 4\/18 - (-86)\/18. Solve r = -k*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 12*d - 12. Suppose 4*p - 3*o - 13 = 0, 54*p - 51*p = o + 16. Determine a(p).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -9*p**4\/8 + p**3 + 15*p**2\/4 - 6*p + 27. Factor d(x).\nAnswer: -3*(x - 1)**2*(3*x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 24\/11, 0.4, 0.5 in descending order.\nAnswer: 24\/11, 2, 0.5, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let j(c) = 344*c**2 - 7*c + 1. Determine j(w(z)).\nAnswer: 344*z**4 - 7*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 4354*f**2 + 34936*f + 52440.\nAnswer: -2*(f - 2185)*(f + 2)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 15 = -3*k - 2*k, 2*k = 3*y + 6. Suppose 33*h - 36*h = -72. Suppose 11*n - h*n + 26 = 0. Solve -n*x - 4*z + 4 = -y, -2*x + 3*z - 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -7, 8, 23?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3900 and 213464550.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = 58. What is the lowest common multiple of 96 and h?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18454571 or -18454568?\nAnswer: -18454568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1358 = 3*x - 4*m, -4*m - 1815 = -4*x - 3*m. Suppose 3*u - 2*s - 274 = -3*s, x = 5*u - s. What are the prime factors of u?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/612 and -81\/7480?\nAnswer: 67320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 5. Let z(d) = 1. Let v be 2\/(1\/(-2) - -1). Let u(x) = v*z(x) + h(x). List the prime factors of u(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = -10. Suppose -16 = 4*d + 5*h + 9, 4*d + h = -i. Suppose d = 2*m - 0 + 6, 0 = 4*a + 2*m - 78. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3547*t = -2582*t - 219*t + 1322*t - 115598 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 18.28369\nAnswer: -18.23369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 p when three letters picked without replacement from lplp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 74744*f + 4036147. Give c(-54).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104669 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34032476 or -34032471?\nAnswer: -34032476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n. Let o(b) = 6*b**3 - 14*b. Give -5*m(t) - o(t).\nAnswer: -t**3 + 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 + -11?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 2. Let t = -245 + 244.9. Which is the nearest to t? (a) v (b) 5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*h = 36, 25*o - h - 50 = 27*o. Let n = 14 - -44. Let s = n + o. Calculate the lowest common multiple of 28 and s.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*r**4 - r - r**3 + 0*r + r**2 - 22*r**4 to k*r**3 + w*r**2 + z*r + h + f*r**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.418 - -1.46316. What is q rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26450.64ug to tonnes.\nAnswer: 0.00000002645064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8454127ms in seconds?\nAnswer: 0.0008454127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4*n = 0. Suppose -15 = -b + 2*m, -4*m - 8 = -4*b + 32. Suppose -r = 2*l - 3, -2*l + 0 = -b*r + 3. Put 2, r, n in ascending order.\nAnswer: n, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = 44*v + 140*v - 5970 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/5, -29470, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 25*i**2 - 54*i. Let t(v) = v**2. Calculate r(t(x)).\nAnswer: 25*x**4 - 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) -0.43 (b) -2 (c) 5 (d) -30 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/1162)\/(110\/550*(-50)\/8).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*t**4 - 117?\nAnswer: 348*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78493 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -3*s**3 + 0*s**6 + 0 + 0*s**5 + 0*s**4 - 11\/105*s**7 + 8*s**2 + 0*s. Find the first derivative of n(c) wrt c.\nAnswer: -88*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.5, -5, -0.05 in descending order.\nAnswer: 6, -0.05, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 9*j**2 + 5*j - 5. Let c be f(-8). Suppose c*t - 14*t = 90. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*s**2 - 22*s**2 + 134*s**2 + 4 - 7*s**2 - 2.\nAnswer: 65*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 548467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -19 + (-35 - 5)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.7 - 25.7. Let w = -15 - d. Which is the third smallest value? (a) -5 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 0.61 (c) -0.1 (d) 3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*(6 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -69 (b) 2 (c) 1 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + v + 164547, -2*l = 3*v - 47160 - 18652. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 26. Let l be m(10). Let s be (l\/(-7))\/(-2) + (-320)\/(-28). Suppose s*g - b - 6 = 6*g, g = b - 2. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 502, -3, 1 in increasing order.\nAnswer: -3, -2, 1, 4, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0728724 millilitres to litres.\nAnswer: 0.0000728724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -9, -6, -5, -6?\n\"Answer: -s**2 + 8*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.28177279293179 + 0.2\nAnswer: 0.48177279293179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h = -12*h + 102015. List the prime factors of h.\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6668 (base 10) to base 7\nAnswer: -25304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*h - 3 - 4, 5*b - 7 = -3*h. What is the lowest common multiple of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 14, y: 5}. Give prob of picking 1 e and 3 y.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42401 (base 5) in base 10?\nAnswer: -2851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135168240 is divided by 1798.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -35777?\nAnswer: 7155.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1 + 6*h + 4*h - 11*h + 3*h. Let g be -5 + 3 + 15 + 1. Let x = g + -9. Calculate j(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36276*t**3 + 125*t**2 - 7 wrt t.\nAnswer: -217656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 18697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 + -173.4. Which is the nearest to -2\/3? (a) u (b) 15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/4*(-276)\/4485?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 6 - 6 = -2*y, -9 = -4*y + 3*k. Is 47 a factor of 4 + (y - 4) + 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 - 15 = 0. Let l = 939 + -936. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Let x = 75.023 + -0.023. Let n = x + -79. Sort f, -2\/7, n in decreasing order.\nAnswer: f, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 5, -2\/3, -1821?\nAnswer: -1821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250980 is divided by 189?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 24069 to the nearest one hundred.\nAnswer: 24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97402459681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 3. Let o be i(4). Let f(r) = r**3 + 2*r**2 - 4*r - 1. Let v be f(-3). Find the third derivative of 14*j**2 - 15*j**2 + o*j**v - 5*j**4 wrt j.\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3452, 3296, 2874, 2054, 704, -1308?\n\"Answer: -22*h**3 - h**2 + h + 3474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 187*s**2. Let u(z) = -6*z. Give b(u(a)).\nAnswer: 6732*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(0*r**2 + 4*r**2 - 2*r**2)*(-138*r**3 - 6*r**2 + 139*r**3 - 9 + r**2).\nAnswer: 4*r**5 - 20*r**4 - 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 1 - 1)*(2*p**2 + 2*p**2 - 3*p**2) - 3*p**3 - 4*p**3 + 2*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466531?\nAnswer: 13, 17, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:18 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 457799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 - 73158*g\/11.\nAnswer: 2*g*(g - 36579)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2) - (-5 - -6). Let f = -2 - o. What is the tens digit of 4\/(-2) - 153\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + 4 + 4 - 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-6) - 12 - -5. Sort 0.3, s, 4, 3\/5, 16.\nAnswer: 0.3, s, 3\/5, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 5746\nAnswer: 19\/2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 35*k - 43. Let h be w(1). Find the common denominator of (1 - 132\/(-54)) + h and 8\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 15 - 4 - 6*w + 22 in the form b + r*w and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -72, 0.4, 864.81, -2?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -33 + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4868, -4905, -4942, -4979, -5016?\nAnswer: -5053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:39 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. Find the third derivative of 9*f**2 + 7*f**2 - 8*f**6 - b*f**6 wrt f.\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*z - 31. Sort 3, z, 2 in decreasing order.\nAnswer: z, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 3*o - 4. Let a(i) = 3*i**2 + 5*i + 7. Let u(d) = -3*a(d) - 5*f(d). Let p(k) = -4*k**2 + 3. Let y be 32\/(-48)*9\/1. Give y*u(x) - 2*p(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23586 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 4. Suppose -47 + 29 = -3*z. Let l(d) = -14 + 20 - z + d. What is -8*l(v) - r(v)?\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**3\/3 - 6*f**2 + 4*f + 1. Let p be z(12). Let j(s) = -s**3 - 3*s**2 + 3*s - 1. Let c be j(-4). Solve 0 = a + c*a - p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 2*m + 2*m)*(-2*m + 1 + m**2 + 4*m + 0).\nAnswer: -2*m**4 - 4*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 223 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x + 255. Let v = x - -89. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*c = 725*c + 2001 + 6791 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -1 (b) -2 (c) 32\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -35911 (c) -0.1 (d) -0.5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465891 is divided by 858?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1010\/(-20) - 1\/(-2). Let f be 4\/(148\/u - -3). Suppose 4*q - 236 - f = 0. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -g. Let p = g + -4. Let q be (-32)\/(-40) + (-28)\/10. Is p at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 229*a**2 - 3*a + 19. Let j be h(13). Let o = j + -21736. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 57. Determine c(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 123*l**2 + 58*l + 7127. Calculate i(-123).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3428539024 + 571.\nAnswer: -3428538453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 - 204. Let h = -38 - d. Suppose 0 = o + 1 + 3. What is the second smallest value in h, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csscsnsssssccnsscnn. Give prob of picking 1 s and 3 c.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 850 - 850.00000888. Round x to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/19 + 58*m\/19 - 408\/19 = 0. What is m?\nAnswer: 12, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8847*z - 41. Let i be f(-3). Suppose i = 51*g - 50*g. Round g to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288640457 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 12}. Give prob of sequence iii.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**5 + 10500*r**4 - 6885276*r**3 - 7148116*r**2 + 165879168*r - 248251536 = 0?\nAnswer: -6, 2, 3, 1313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 467258500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(533 - i - 533) to the form z*i + y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30658*b + 61316*b - 30658*b + 13*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b. Let t = b - -1. Let p be (t - -69)*(-100)\/(-2). Round p to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 1, x: 4, w: 1, l: 1, g: 1, b: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-24 + 10)*32\/(-14) and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 + 5 + 259\/(-49). Suppose 0 = 2*n + j - 0 - 2, -2*j = r. Solve 6*b + n = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553 (base 7) to base 8\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 5*v. Let i be m(4). Let b be (2\/(-35))\/(i\/(-20)). Let x = -5.09 + 0.09. Put b, 2\/7, x in ascending order.\nAnswer: x, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5054, -0.4, -11, -0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*y. Let w be 4 + (y - (-1 + 0)). Suppose g + 2*c = w + 2, -21 = -3*g - 3*c. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 7\/(-2)*-2. Solve 3*a + 9 = l*z - 4, 3*a + 3 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2. Let f(x) = x + 3. Let y(j) = -2*j - 5. Let b(n) = -5*f(n) - 3*y(n). Give -b(g) + 2*k(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8613219\/22 or -391511?\nAnswer: -391511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.78795ml to litres.\nAnswer: 0.02378795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let r(w) = -18*w**2 + w + 6775. Determine r(z(l)).\nAnswer: -72*l**2 + 2*l + 6775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2, -119, 8 in descending order.\nAnswer: 8, -2\/7, -2, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 + 5*p**2 - 2. Let h(v) = 7*v**2 - 3 - 4*v**3 - 6*v**3 + 4*v**3. Suppose -25 = -39*u + 44*u. Determine u*h(f) + 7*c(f).\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 10*o + 6 = 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 122. Let t(n) be the first derivative of 0*n + 0*n**p + 0*n**4 + 5 + 1\/5*n**5 - 5\/3*n**3. What is the third derivative of t(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55760895 divided by 9?\nAnswer: -6195655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in minutes?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(136)\/(-2*sqrt(8) - sqrt(8))) + sqrt(17) - (sqrt(272) + -4 - sqrt(17)).\nAnswer: -2*sqrt(17)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 8*j - 10. Calculate the remainder when 112 is divided by r(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 24 = 8*p. Let s be 2*p\/(-4) + 3. Let f = -1.2 + -3.8. Which is the third smallest value? (a) f (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - g + 2048, 9*f - 6*f - 6165 = 4*g. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z + 7. Suppose 0*g = g + 5. Let u be p(g). Suppose 4*c - 22 = -2*l, 3*c - 3*l + u = 2*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029276400 rounded to the nearest 1000000?\nAnswer: 1029000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*x**3\/3 - 8351136*x**2 + 4175564*x - 1565836\/3 = 0. Calculate x.\nAnswer: 1\/4, 391459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1632 + -1565.28. Let d = o - 67. Round d to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 233 = -3*q - 1121, -2*w - 5*q - 1776 = 0. Find the common denominator of -49\/12 and (w\/(-48))\/(-1 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 10) to base 16\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -256900 plus -0.4?\nAnswer: -256900.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 297 in -2, -0.13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-9 + 7 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from vgwwwdrvrrwgrv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 - 7 = 0. What is the third derivative of -1875*d**2 + 1879*d**2 + d**5 + z*d**5 wrt d?\nAnswer: 1020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = 34. Let a = h + -9. Suppose w - 5 - a = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 192456*z + 49461187. Calculate m(-257).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/42734 and 13\/7?\nAnswer: 299138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 765*0.09225\nAnswer: 70.57125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from vvvyvkvvkmvvmvvmvmv?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - -29d9c19?\nAnswer: 29d9c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24464089, 24464088, 24464087, 24464086, 24464085?\nAnswer: 24464084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**5\/120 + 2*c**3\/3 - c**2\/2 + 51. Let g(m) be the third derivative of b(m). Let f(s) = s**2. Calculate f(g(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -52, 147, 618, 1469, 2808, 4743, 7382?\nAnswer: 10833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*x**2 + 5*x**2 - 4*x**2)*(5 - 4 - 2) - 5*x**2 + 2*x**2 + x**2 in the form i*x + g + q*x**2 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 11. Suppose 0 = -r + 6*r + 50. Let x be j(r). Which is the closest to x? (a) -13 (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*(2*sqrt(152) + sqrt(152)) - (-1*sqrt(152)*-2 + sqrt(152))))\/((-1*sqrt(80)*5)\/(2*sqrt(40))).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181757 (base 9) in base 6?\nAnswer: 21450554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*o**3 + 39240096*o**2 + 26160061*o + 4360010 = 0. Calculate o.\nAnswer: -4360010, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 2*z + 6, 0 = -5*y + 13*y + 3*z + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-215)\/7 + 30\/(-105))\/((24 - -18) + -37).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2. Let o(u) = -u**3 + 4*u + 4. Let i be o(0). Let c(p) be the second derivative of 0*p**2 + 0*p**3 - 6*p + 1\/6*p**i + 0. What is c(b(k))?\nAnswer: 98*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 bigger than 94797\/1025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -388*k**2 + 783*k**2 - 394*k**2. Let p(r) be the third derivative of -11*r**2 + 0*r + 1\/8*r**4 + 1\/60*r**5 + 0*r**3 + 0. Give p(x(n)).\nAnswer: n**4 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12572, 100348, 338580, 802496, 1567324, 2708292?\nAnswer: 4300628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2 + 33*i + 469. Determine g(-11).\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, k: 3, z: 1, b: 2, x: 3, d: 3}. What is prob of sequence zekd?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40118434 to the nearest integer?\nAnswer: 6334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 74 = 2*y, 2*y + y - 51 = -3*x. Let m be 10\/6 + 24\/x. Let d be 15\/(-12)*(-1 - m). Solve t - d = -0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 2*d**2 - 2*d. Let q = -6 + 5. Let y(r) = 3*r**2. Let v be y(q). What is c(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -8*m**3\/3 + 5*m**2\/2 + 6*m - 2. Let c(t) = -3*t**2 - 2*t + 2*t**2 + 3*t + 1. Give -6*c(q) + d(q).\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-25 - 6\/6) - -1. Solve k*p = 19*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1894156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55, 83, 157, 301, 539, 895?\n\"Answer: 4*x**3 - x**2 + 3*x + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32456 is divided by 32280?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470*v - 26448 - 9004 = 33638. What is the remainder when 548 is divided by v?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*t + 14 = 0, -108 + 16 = -4*v - 4*t. Calculate the greatest common factor of v and 6289.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:42 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let i(p) = 24 - 5860*p**2 + 11727*p**2 - p + p**3 - 5867*p**2. What is i(z)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*v - 166*v - 35 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.973 + 0.027. What is the nearest to -1 in 3\/4, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016605 (base 7) in base 11?\nAnswer: -83a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2024855 and 2.\nAnswer: -4049710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4, 4*y - 5*f + 5 + 11 = 0. Which is greater: 97 or y?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 25. Let j = -8 - w. Let n be (102 + (112 - 210))*1*(-1)\/18. What is the closest to 2 in -0.5, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 + -105. Calculate the least common multiple of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 4*n**3 + 9162*n - 9162*n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k + 1. What is i(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -538 (base 9) to base 5.\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*n + 5*p, 3*n - 8*p + 4*p = 102. Let t = 30 - n. Let x be 36\/30*t\/6. Which is smaller: 2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 - 4*v**4 + 3*v**4 + (v - 3 + 3)*(0*v + 0*v + 2*v**3) + 0*v**4 - 5*v**4 + 4*v**4 - v**4 + 5*v**4 - 3*v**4 + 2*v**4 + 3*v - 3*v + 2 - 2*v**4 - 2.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*(-12)\/(-10))\/((-4)\/(-20)). Let h be (10\/z)\/(16\/48). Let x be 2*h\/((-20)\/42). What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -279*s**3 - 59*s - 12.\nAnswer: -1674*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 50 + -12 - (-4)\/(4\/(-7))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-12))\/(1\/18). Let z(g) = g**3 - 7*g**2 + 9*g - 3. What are the prime factors of z(h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -h + 1, 0 = 4*h - 15624*j + 15629*j + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.048 - -0.248. Which is the third biggest value? (a) -11 (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 97 - 7. Which is bigger: j or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/v**(2\/51)))\/v)\/v*v\/(v\/((v*v**(-4))\/v)))\/(v**12\/v)**(-2\/19))**(2\/35) assuming v is positive.\nAnswer: v**(-9308\/33915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2097483785, -2097483787, -2097483791, -2097483797?\n\"Answer: -k**2 + k - 2097483785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29976738 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.44 - -149.44. Let a = b - 49. Let s = a - 97.00000078. What is s rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282477404 a multiple of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1150\/(-65) + 760\/65 + -12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.223 to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqvu when four letters picked without replacement from usuunvvulvvuqvvu.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 32*x + 137. Let b be q(-4). Put 0, 4, 1, b in ascending order.\nAnswer: b, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from aaauqiq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*f**3 + 6 - 28*f**3 + 37*f**3 + 15*f**2 wrt f?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1317784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**2 + 5*i**2)*(-5*i + 0*i + 4*i) + i**3 + 1 - 1.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.0363667 and 12.\nAnswer: 3.9636333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 116277 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -34*q. Suppose 728 = -5*x + 12*x. Let a(w) = 104 - 2*w - x. Calculate a(o(m)).\nAnswer: 68*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by 91.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 0*q + 2*q**3 + (0 + 0 - q**2)*(-5*q + q + q) + 292887 - 292887 + 2718*q**3 as j*q**2 + t*q**3 + x*q + u and give t.\nAnswer: 2723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*y + 5*x, -2*y + 13 = -8*x + 5*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8475 and 366508155?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 3*b + (0*b + b + 0*b)*(-4 - 1 + 6) + (-4 + 0 + 1)*(-7*b + 3*b + 2*b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.04 + 13.961. Round c to one decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:26 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-125)\/(-20)*4\/10. Let c = 198 + d. Let b = 438 - c. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 14*x**2 - 7*x. Let q(h) = -h**2 - 1. Let g(f) = -b(f) - 6*q(f). What is the least common multiple of g(7) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 1 + 0*z**2 + 0*z - 2\/3*z**3. Factor a(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -127 + 134 - ((-2)\/6 - 18\/(-4))?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 662 and 242292?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018754 to 7 dps.\nAnswer: 0.0000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479 is divided by 563?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f. Let c(g) be the third derivative of 7*g**4\/6 - 14*g**2. Let s(u) = 84*u. Let z(a) = 8*c(a) - 3*s(a). Give z(p(t)).\nAnswer: 56*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -6, 5, 45, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/768 and 89\/4.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 530770?\nAnswer: -2\/265385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -46. Solve m*u - 1 = -3*b, 4*b + 28 - 10 = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 2 + 5 - -10. Calculate the common denominator of 546\/(-9)*x\/64 and 81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(17 + -7 - 7). Let y(p) = -p**2 + 8*p + 11. Calculate y(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112301401413 + -10?\nAnswer: -112301401423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 + 58. Let y(q) be the third derivative of q**5\/30 - 19*q**3\/6 - 56*q**2 + 18. What is 7*y(r) + 2*z(r)?\nAnswer: 2*r**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182027\/4 + -45950. Let b = n - -431. Find the common denominator of -83\/164 and b.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 29*x - 11. Let c be d(-15). Suppose -2*w + 4*t = -c, 439 = 5*w - 4*w - t. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 789359.7 centimeters to nanometers.\nAnswer: 7893597000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x**3 - 3*x**3 + 36*x**3 + 15*x**3.\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 + 10 - 3) + 6 - -6. Let u(r) be the second derivative of 19\/12*r**4 + 19\/6*r**3 + 0*r**2 + m*r + 0. Find the second derivative of u(x) wrt x.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = -4. Let t be ((-9)\/12)\/((-24)\/32). Let q(f) = -2*f - 2. Let v(i) = -1. Give g*v(o) + t*q(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 11*a**2 + 24*a - 34. Let g be r(9). Calculate the greatest common divisor of g and 1180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4 + 12)\/4)\/(2\/(-8)). Let f be 2*(2 + 20\/d). Sort f, -5, -2, -7 in descending order.\nAnswer: f, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/3))\/(l*l*l**(-33)) assuming l is positive.\nAnswer: l**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.41637s in nanoseconds?\nAnswer: 7416370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.016?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1, 1254, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -304, -387, -574, -883, -1332?\n\"Answer: -3*o**3 - 34*o**2 + 40*o - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(4\/(-10))\/(6\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(704) - (sqrt(704) + 1*sqrt(704))))**2*-5*6.\nAnswer: -26730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2973 + 2*b**2 - 2973 - 58*b - 2*b**3 + (2*b**3 + 3*b - 3*b)*(0 + 1 + 0) + b**3 + 0*b**3 + 0*b**3.\nAnswer: b**3 + 2*b**2 - 58*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 - (-66 + 60)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 38*d**2 + d - 2. Suppose -3*k = 39 + 12. Let q = 14 + k. Is a(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + 2 + 3*sqrt(1300) + -4)*1 + 3)*-5 + -4)**2.\nAnswer: 10200*sqrt(13) + 293656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13396312 is divided by 18326.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 4*l - 5. Let d(u) = -1. Give -5*d(c) + k(c).\nAnswer: -3*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 9:37 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*s = 448*s + 421*s - 782 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n - n + 827 - 1379 = 0 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2212493602 + 4*r**2 - 2*r**3 + 2212493602.\nAnswer: -2*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 477982.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 - -515\/2. Let i = 21\/4 - u. What is the nearest to -1 in -5, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(((-30)\/9)\/((-24)\/(-18))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -16. Let v be 2\/3 + 26\/6. Let t = p - v. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11275221 (base 10) to base 12\nAnswer: 3939019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -65)\/(6\/(-4)). Suppose 4*o - 44 - d = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/32)\/(1\/(-8)). Suppose -4*u + p = -u. Solve 0 = i + u + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y - 448 - 704 = 96*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((((g**(-2\/29)*g)\/g)\/g)\/g*g))**(-20) assuming g is positive.\nAnswer: g**(-1200\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/((-10)\/(-2))*26. Let v be ((-6)\/n)\/(21\/(-70)). Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2034, 2, -29, -41, 3 in decreasing order.\nAnswer: 2034, 3, 2, -29, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-45) - 72762\/9045?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/10*(24\/(-5))\/((-54)\/(-120))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 413, 415, 417?\n\"Answer: 2*n + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195 - 201. Let y(d) = 2*d**3 + 11*d**2 - 11*d - 14. Let q be y(n). Solve 2*i + q = 6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 6. Let q = 46 + 23. Let o = q - 70. Sort o, -1\/3, d in descending order.\nAnswer: d, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22694 divided by 7\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (16\/20)\/(((-4)\/150)\/(76\/95))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 135694984 divided by -898\nAnswer: -151108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.042 times -1.9\nAnswer: 0.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159 - 70. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 13. Let a = u + 12. Sort a, -5, 4 in descending order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11567101 * 0.46.\nAnswer: 5320866.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:56 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 5. Let j be h(0). What is the derivative of 5*a**2 + 1 - a**4 - j*a**2 wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n - 2 - 420*n + 77*n - 231*n.\nAnswer: -545*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9524117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 20\/(-70) - (-354)\/14.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/10 and 85\/57354.\nAnswer: 286770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t + 4*t - 73656 = 0. Suppose -x = 1195 - t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 31. Let k be c(29). Let p(o) = 20*o - 19. Let a be p(k). What is the highest common factor of a and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 17*x**2 - 17*x - 180. What is the smallest common multiple of h(15) and 205?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a + 65. Let h(o) = 2 - 5*o + 3*o - 21 + 3*o + o**2. Is h(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-21)*77*(-16)\/(-24). Let a(h) = -6*h**3 - 22*h - 22. Let f(i) = -i**3 - 3*i - 3. Calculate q*f(c) - 6*a(c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.28 and -1116.3599.\nAnswer: -1116.6399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 10*z**2 + 9*z - 8. Let c be m(-7). What is the fourth biggest value in c, 4, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j. Let y(l) = -27*l + 15. Calculate 2*f(m) + y(m).\nAnswer: -13*m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 16211?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/63 - 6\/27. Let d = 1118 - 591. Let h = 527.2 - d. Which is the closest to 3? (a) h (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -35\/2*v**2 + 5\/2*v**3 + 40*v**4 + 5*v + 0 - 30*v**5 = 0.\nAnswer: -2\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43369128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + q**2 + q - 1. Calculate l(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 23443220?\nAnswer: 23443310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 387, 0.95 in descending order.\nAnswer: 387, 0.95, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**3 - 27*x**2 + 9*x + 14. Calculate j(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 21 + 6*n**2 - 2*n + 14*n. Let u(y) = 3*y**2 + 6*y + 10. Let a(t) = 6*g(t) - 13*u(t). Let i(b) = 4*b**2 + 5. Give 7*a(r) + 6*i(r).\nAnswer: 3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 6. Let o be q(0). Let x be 4\/(-8)*-8*o\/(-8). Suppose -z + 4 - 3 = 2*g, -5*g = -3*z + 25. Solve -f + 3 = d + 6, z*f + x*d + 17 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m - 2. Let t(b) = b - 1. Let r(z) = -j(z) - 3*t(z). Let y(d) = 54 - 23 - 35*d + 13*d - 20 - 27. Calculate -16*r(v) - 5*y(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2748\/4122*-9*2*13\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22525, -90095, -202711, -360373?\n\"Answer: -22523*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3628467.981 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246718324 by -20114.\nAnswer: -12266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -162b + 1?\nAnswer: -162a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, p: 2, i: 1, e: 1, o: 2}. Give prob of picking 1 e, 2 g, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2768)\/(-3560) + (-60)\/(-2670).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 7\/3*p**3 - p + p**2 + 3. Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*r - 4, -5*s - 2 = 2*r - 3*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 + 5.9. What is the second smallest value in -0.3, 2\/3, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2496\/39)\/(-576))\/(10\/(-24))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -115\/3. Let f = -0.078 - -39.128. Let h = f - 39. Which is the second smallest value? (a) h (b) -2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 25.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -8*y + 12. Suppose y*w = 2 + 18, -4*r = 5*w + 199. Let o = r - -91. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 50?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2500920 and 2256?\nAnswer: 235086480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s*x**3 - 130606*s*x**2 + 5*x**3 + 5822 wrt s.\nAnswer: -3*x**3 - 130606*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:09 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdhddthhaffttchhha. Give prob of picking 1 c and 2 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 4)*-6*-7. What is the common denominator of 204\/16*(-2)\/k and 65\/22?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 16*i - 13. Let d(c) = 15*c - 11. Calculate -5*a(j) + 6*d(j).\nAnswer: 10*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, -2\/3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 847a7 - 19b?\nAnswer: 84608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o, 2*g + 3*o - 4 = 0. Solve -g*t - 13 = -5*z, -5*t - 21 = -2*z + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Let q(w) = w**3 - w**2 - 4*w + 4. Let h be q(d). Let u = -19 - -39. Calculate the highest common divisor of h and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -828 + 223. Let s = q + 2127. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1 (b) 1\/9 (c) 0.1 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -4*f**5\/5 + 223*f**4\/2 - 4818*f - 4607. What is the first derivative of x(u) wrt u?\nAnswer: -16*u**3 + 1338*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27705705 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 121545242 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {u: 3, b: 4, q: 2, v: 4, r: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 18269 - 1261. List the prime factors of n.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 5. Suppose w = -y*w + 5*q - 10, -4*w + 2*q = 4. Suppose -4*i + 56 = -w*i. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -149, -221, -291, -359, -425?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-52)\/(-16) + 1\/(-4). Suppose 4*c - b - 5 = 0. Suppose 0 = -3*t - c*t + 235. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*z - 25, -28 = 418*z - 421*z - 2*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from ljlwpjjljpjcjjjjljll?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 5*v - 3. Let p be s(-4). Let g(b) = b**2 + 14*b + 10. What is the units digit of g(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -8. Let q = s - 1. Let c = q + 2. Sort 1, c, 0.1 in descending order.\nAnswer: 1, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*g + 3. Suppose g*f - 8 + 0 = -3*n, n = -2*f + 4. Suppose n*i - 25 = i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14967 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -30315.4 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0 + 0*z + 26\/3*z**3 + 37\/24*z**4 + 32*z**2. Differentiate b(r) with respect to r.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 6*c + 7. Let i be w(5). Find the second derivative of 3*d - i*d - 4*d + 0*d + 9*d**5 wrt d.\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 4, i: 2}. What is prob of sequence eii?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14191 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 5, 133, -4, 3 in increasing order.\nAnswer: -4, 3, 5, 43, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3491 is divided by 194.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaakiroaoioiaroark. What is prob of picking 1 k and 1 i?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*d - 138*d + 552 = -280*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1467 - -247925\/169. What is the smallest value in -0.5, 0.3, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1389 divided by 46\nAnswer: -1389\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247 + 249. Suppose -41 = -13*i - n. What is the greatest common divisor of i and 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/5*105\/(-315)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148.13 * 0.9.\nAnswer: 133.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 8. Let a be c(-9). Is a <= -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147*(10\/(-5))\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -935301000 to the nearest one million.\nAnswer: -935000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 329 (b) -68 (c) -2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123 - -2?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88210487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513267 divided by 12?\nAnswer: 2513267\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -9*q + 168. Solve q*x = 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2901, 5796, 8687, 11574, 14457, 17336?\n\"Answer: -2*w**2 + 2901*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171) + (sqrt(171) - -1*sqrt(171)) + sqrt(171)) + sqrt(171) - sqrt(171) - 2*(sqrt(171)*1 - sqrt(171)))\/((4*sqrt(90)*1)\/sqrt(10)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5259434419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnvv when four letters picked without replacement from {v: 2, n: 1, f: 3, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + h)*(-7845 + 15909 + 2810 + 24499 + 10477)*(-4*h + 0*h + 3*h).\nAnswer: -45850*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 5:13 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18399)\/4 + 1\/(-4). Round i to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 17 (c) 44 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*n + 4538 + 73, 5*n - 4583 = -3*o. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (685\/2877)\/((-15)\/(-14)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:12 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 0.06734?\nAnswer: 0.43266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ueg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*o**2 - 19*o**6 + 68*o**2 - 3*o**6 wrt o?\nAnswer: -2640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -58*p + 53*p. What is the derivative of -3 + 3 - 4 + 2*k**2 - 5*k**p wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12131 + 100303032?\nAnswer: 100321223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Suppose 0*n = 5*k - n - 140, u = 2*k + 3*n - 56. Calculate the remainder when k is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9241?\nAnswer: 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2983004*y**5*z - 2*y**3*z - y**2 + 3*y + 2*z + 48254 wrt y?\nAnswer: -178980240*y**2*z - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 bigger than -0.0106797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(175) + sqrt(175) + 2)**2 + 1 - 4*-6*sqrt(84)\/(sqrt(12)*-3).\nAnswer: 52*sqrt(7) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) 0.5 (c) 3\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12753 + -523?\nAnswer: 12230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0*m**2 - 4*m**2 + 3*m**2 - 3 to f*m + b*m**2 + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Let f be q(8). Suppose 2*i = f - 2. Suppose -3*c = 3*o + 2*c - 24, c = i*o - 6. Solve 9 = 3*r + o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*x + 12 = 0, 3*x = t - 1 - 9. Suppose 4*c - t = -0*c. Suppose 2*b - 21 = -h + 6*h, 5*b + c*h - 36 = 0. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 4*y**3 + 5*y**3 - 2*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000366433 rounded to 6 decimal places?\nAnswer: 0.000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -716155 divided by -182?\nAnswer: 716155\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178*j**4 - 514*j**4 + 38*j**4 + 101*j**4 - 2521*j**2 + 12*j**5 wrt j?\nAnswer: 720*j**2 - 4728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0, -991?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 71 + 4 = 3*l, 5*l + 109 = 4*h. Is 8 a factor of (-1131)\/h*(-4)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 12. Let v(z) = 2*z**2 - 18*z + 5. What is the tens digit of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236516 is divided by 236302?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - 2.7. Let q = 2.91 + u. Let f = 4.91 - q. Which is the second smallest value? (a) 1 (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.8 * 0.02\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**5 + 2345*d**4 - 6886*d wrt d.\nAnswer: 20*d**3 + 28140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 5*i + 3. Suppose 0 = -l - 2*y + 8, l + 14 = 2*y + 2. Let j be g(l). What is the biggest value in -0.2, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*j = 103*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10272 and 60.\nAnswer: 51360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 590.257 to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303646 divided by -322?\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 5*k**4)*(4*k - 8*k + 29*k + (2*k + 5*k - 5*k + 2)*(0 - 2 + 0)).\nAnswer: 105*k**5 - 20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k. Let z = -54 + 100. Let d(o) = -23*o**2 - 24*o**2 + z*o**2. Give d(s(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-24 - -34) + -3 + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 15*k**2 - 467*k + 64. Give j(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69803412 a multiple of 2492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 18*h - 22. Let j(x) = x**2 - 16*x + 26. Determine 5*j(f) + 6*n(f).\nAnswer: 5*f**2 + 28*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 - 74.53. Let k = 0.22 + b. Let g = 0.7 - k. Round g to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 2*b + 24, -8*z - 13 = -9*z - 4*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 15318631 = 23*v - 2*b, -5*v + 15318637 = -b. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7712.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.125. Let l = y - 92.875. Let k = 93.000078 + l. Round k to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/(-26))\/((-2)\/116) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 28, -1042 in descending order.\nAnswer: 28, 15, -1042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*0.081.\nAnswer: 2.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1333 and -115964\/87 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w + 5*w)*(4*w - 5*w + 0*w) + 0*w**2 - w**2 + 3*w**2 + 2*w**2 - 3*w**2 + 0*w**2 + (3 - 5 + 0)*(-w - 2*w**2 + w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 16*u - 22. Let y be m(11). Suppose 0 = -8*x + 51*x - 1204. Calculate the greatest common factor of x and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 21*w. Let k(f) = -690*f**2. Determine k(h(z)).\nAnswer: -304290*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(441))\/sqrt(7).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35001200 and 320.\nAnswer: 140004800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1267 take away -24502250.1608?\nAnswer: 24502250.2875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 29559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487668722, -975337446, -1463006170, -1950674894, -2438343618, -2926012342?\nAnswer: -3413681066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 5. Let f be o(6). Let a be (-20)\/(-70) - 159\/(-7). Suppose -5*w - 3 = -a. Solve -4*u = 4*i + 8, i + w*u + 3 = f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 41?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 770461688 to the power of 1\/2, to the nearest integer?\nAnswer: 27757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -159, 4 in ascending order.\nAnswer: -159, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -49*t + 13. Let g(h) = -3*h**2 - 3*h. Let i be g(-2). Is c(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 12, n: 1, e: 1, v: 2}. What is prob of sequence nia?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*b + 5*y - 8, 4 = -b - y. Suppose b = n + 1 + 67. Let p = 74 + n. Calculate the smallest common multiple of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b - 19. Let z = b + -7. Suppose 88 = 5*f + q, f + q = 6 + 10. What is the least common multiple of z and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139979431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4727 - 4727 - 96*p as x*p + z and give x.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0.29, 44, -0.2 in ascending order.\nAnswer: -0.2, 0.29, 1, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-513 + 0\/(-15))\/(-1*1). Calculate the highest common divisor of v and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.135 + 876.153.\nAnswer: 876.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -802.284867 rounded to the nearest 10?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 274176141*j**5 + j**4 + 56150*j**2 + 2720*j wrt j.\nAnswer: 16450568460*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2817 - -11977. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1270 divide 19801913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182998 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 91*y**2 - 89*y**2 - 1.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -2 (c) -0.1 (d) -0.4 (e) -4 (f) 1770\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-2*2 + 5*(sqrt(396)*-1 + sqrt(396)))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18047 by 6.\nAnswer: 18047\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 113364143 to the power of 1\/2, to the nearest integer?\nAnswer: 10647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128591.\nAnswer: 128591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 382*c**3 + 1407*c**2 + 60*c + 120707600 with respect to c.\nAnswer: 1146*c**2 + 2814*c + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r\/r**(-5))\/r*r))\/r*r)\/r**(4\/7)*(r**(-2\/3))**(-1\/8)*(r**(-1\/2))**(-2\/9)\/((r*(r\/r**(-1))\/r*r*r)\/(r*r**(-2\/25))) assuming r is positive.\nAnswer: r**(-59579\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32511320 by -1160.\nAnswer: -28027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28604070 and 1350.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**2 - 23*k**2 + 12*k**2 + 15*k**3 as x*k**2 + p + g*k**3 + u*k and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, 62, 61, 62?\n\"Answer: x**2 - 6*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*t - d, -8*d + 28 = -4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Let m = 3 - q. Let o(c) = -c**2 + 6*c + 7. Let f be o(7). Solve f = v + k, -5*v + m = -4*v - 4*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 631018298 to the nearest integer?\nAnswer: 25120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s**2 + 84*s - 29. Let l(w) = 5*w**2 + 30*w - 10. Let m(p) = 11*l(p) - 4*q(p). Give m(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/8*(-28)\/168\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*q + 4*y + 11, 3*y = -5*q - 4. Put -46, -4, q in descending order.\nAnswer: q, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 2. Suppose -22 = -4*u - a. Let k(w) = -w**2 + 7*w - 5. Determine k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 4*a - 703 = -15*a. Let v(m) be the first derivative of -2\/15*m**3 - a + 0*m + 2\/5*m**2. Factor v(j).\nAnswer: -2*j*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 27*a + 3759000. Round a to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212846.4s to hours.\nAnswer: 59.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 0. Suppose 3*c + 1 = k, -c + l = -k - 3*c. Let b be (-3)\/k - (-6)\/(-110). Is 1 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163.1 + 178. Let h = w + -17. Let l = -1.2 - h. Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 353 - 348. Solve -p - w = 3*w - f, -3*p - 1 = -4*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(272)*-1 + sqrt(272))*2 + (sqrt(272) - -3*(1 + sqrt(272) + sqrt(272))**2 - sqrt(272))*-5.\nAnswer: -16333 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.792 + 3.749. Put 0.1, 0.5, s, 5 in ascending order.\nAnswer: s, 0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*c**2*m*q**3 + 6*c**2*m*q - 2*c**2 + 5*c*m + 38*m*q**3 + 4*q**2 wrt q.\nAnswer: 180*c**2*m + 228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 15*a**2 + 3696*a + 56628.\nAnswer: -3*(a - 39)*(a + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1513 divide 1647183431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*i + 3*a, 6*i - 2*a = 5*i + 8. Suppose 2*u + 2*s - 18394 = 0, 0*u + i*s = 2*u - 18406. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15143002, -15142983, -15142964?\n\"Answer: 19*x - 15143021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 8. Let b be 6\/60 - w\/(-10). What is the second smallest value in -0.3, b, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2171?\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6422016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0656*-1\nAnswer: 0.0656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1945075255 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -323?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1599642632 and 1?\nAnswer: 1599642633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*3\/12*-2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -54, 0, 7, -12 in decreasing order.\nAnswer: 7, 0, -12, -51, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -14*x + 18*x, -2*d = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 4)\/((-4)\/8). Let a(o) = -5*o + 1. Calculate a(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 332 and 20.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10201 - -12?\nAnswer: 10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 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 x(u) = u**3 - 6*u**2 + u - 6. Let t be -18*2\/(-2*3). Let j be x(t). Find the second derivative of j*i - i**3 - 3*i**3 - 4*i wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1621693*y**3 - 3*y**2 + 352041*y - 24.\nAnswer: 9730158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 6*x**2 - x - 6. Let t be p(-6). Suppose t = 4*o + o. Suppose -k - k = o. Solve -d + 5*y + 18 = k, 2 = -4*d - 2*y + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53236*l**5 - l**2 - 2564*l + 3 wrt l.\nAnswer: -3194160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by -18.\nAnswer: -37\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-3\/4)*p)\/p**(2\/3))\/(p**(2\/7))**(-29))\/((p*p**(-2))**27)**22 assuming p is positive.\nAnswer: p**(50767\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1378 times -0.11836\nAnswer: 163.10008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18\/1103 - -82000\/23163. Calculate the common denominator of 67\/396 and p.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*((-29)\/(-87))\/((-2)\/(-3342)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -484 - -690. Let d = 370 + -488. Let o = d + q. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:00 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -10 - 23 - -8 - (-8 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/2 of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from psnsnsyppsssy. What is prob of sequence nsss?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 3*v. Let k(c) = 39*c**2 + 39*c. Let a(m) = -27*b(m) + 2*k(m). Factor a(s).\nAnswer: -3*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5832.189 - -5829. Which is smaller: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + sqrt(108))*3)**2*6 - (2*(0 + sqrt(108)*5) + -2)**2.\nAnswer: -4822 - 840*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 32. Let s = -6 + z. Let j = s - 7.999936. Round j to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/20 - f**4\/4 + f**3\/6 - 2*f**2 - 24*f. Calculate l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.5 times -106.86\nAnswer: 1976.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 + 0.12. Let k = 3.6 + n. What is the biggest value in 0.07, k, 3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 18499418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 533035655 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3\/3 + 11*g**2\/2 - 4*g + 4. Let r be v(8). Solve q = -3*h + 12, -2*h + r = -5*q + 3*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 77 = -43. Let h(j) = -5*j - 7. Let b be h(-6). Let a = b - s. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 74743 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/3 - 5*y. Let v(z) = z. Calculate v(a(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*j - 4*j + 3*j)*(-2*j + 0*j + 4*j) + (-5*j**2 + 12*j - 12*j)*((-3 + 4 + 11)*(-4 + 5 - 2) + 0 + 3 + 0))*(-j**3 - 3*j**3 + 2*j**3).\nAnswer: -94*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 25 + 3*b**4 - 5*b**4 - 2*b**4 + 26*b**3 + b**2 + 10*b**4 - 27*b**3 in the form w*b**4 + l*b + q*b**2 + p + y*b**3 and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - 28\/(-36) - 6 and (-1 - (-194)\/170)\/(-1).\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 92*n**5\/3 + 248*n**4 + 696*n**3 + 2384*n**2\/3 + 340*n + 24 = 0?\nAnswer: -3, -1, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4*h + 7*h - 12, u = -h + 4. Solve -7 = 7*v - u*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1586300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9 + 0*c + 4*c - 3*c - 2*c. Let u be y(7). Factor 3*n**2 + 2*n**3 - 3*n**u - 4*n**2.\nAnswer: 2*n**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*x + 42, -3*x + 21 = 5*w + 1. Suppose 2 = -4*q - x, 2*l - 18 = 2*q. What is the tens digit of -45*(-4)\/l + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 8 + 4. Suppose -z = -3*j + 5, b*z + 3*j = -0 + 9. Calculate the smallest common multiple of 4 and (z\/2)\/((-2)\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3*c - 18, -3*s - c + 15 = 1. Suppose -4*l - 54 = -m + 167, 5*l = s*m - 295. Let a = 113 + l. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959*g - 55161 = 878*g. Solve g*m - 676*m - 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 14. Let y(h) = 2*h**2 + 12*h + 11. Let v be y(k). Solve 0 = -7*a + 2*a + v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*701 + -3 + -1 + 0.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(14) - sqrt(56)))\/sqrt(7)*6)**2 + ((sqrt(12) - sqrt(1452)*2)\/(sqrt(24)\/(sqrt(4)*1)))**2)*5.\nAnswer: 7650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92509.218 - 0.076.\nAnswer: -92509.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28383062*g**3 - 2*g + 4913505.\nAnswer: -170298372*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 216434 less than 216432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 117 + 137. Let n be (-6)\/(-9)*45\/(-20)*6. Let x be (-36)\/n*(2 + (-1)\/1). Solve x*j = i + 9, -u*i - 5*j + 30 = -0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008658 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2835*c**2 + 4986*c**2 - 2930*c**2 - 38550*c**2 - 28796*c**2)*(-2*c - 3*c + 4*c) as t*c**3 + l + v*c**2 + w*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 4\/349, -1.2?\nAnswer: 4\/349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.2232 weeks in nanoseconds?\nAnswer: 288624591360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -14 - (-2 - (-4 - -8) - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -428 - -266?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24 + (-12)\/3 - 13. Solve 0 = -0*w + w + 4*k - 15, -2*k + z = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -383*o**5\/30 + 107*o**3\/3 - 1001*o**2. Find the first derivative of t(m) wrt m.\nAnswer: -1532*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5968850 - 12217109. Let o = q - -6248263.0000001. Let s = 4 - o. Round s to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.7512 to one decimal place.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1039*u - 22760. Calculate s(-22).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -3156, 0.1, -2, 3, 1 in decreasing order.\nAnswer: 3, 1, 2\/13, 0.1, -2, -3156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times 0.1?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*-5)**2 + sqrt(7))*1.\nAnswer: sqrt(7) + 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3165.\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -25*s**2 + 2*s + 3. Differentiate k(h) wrt h.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 at least as big as 522364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 266760696?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 23*i + 3*i + 0*i + 20 to n*i + l and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let b(y) = y**2 + 24*y. What is r(b(x))?\nAnswer: 2*x**4 + 96*x**3 + 1152*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.24 + 4.24. What is the second biggest value in 1\/28, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2375404 or -11877023\/5?\nAnswer: -11877023\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94.5 - 94. Which is the smallest value? (a) -10\/9 (b) -10 (c) l (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/3*23\/161*651. What is the greatest common factor of 130 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2789, 5594, 8411, 11240, 14081, 16934?\nAnswer: 19799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**3 - 5*k**3 - 13*k**3 + 22*k**3 - 4*k**2 + 13*k - k**3 + 5. Calculate t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 18 - 7. Let x(u) = u + 9. Let i be x(-6). Factor b*p**3 - p**3 + i - 12*p - 11.\nAnswer: 4*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(-2*b + 9*b**2 + 436 - 4*b**2 - 435) to k*b**2 + d + r*b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5\/3 + 8*w**4\/3 + 68*w**3\/3 + 8*w**2\/3 - 208*w\/3 - 160\/3 = 0. What is w?\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3042.512 times -4\nAnswer: -12170.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.7 in -5, -1, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140188 and 434444?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 199 + 131 = 0. Let o = 159 - v. What is the common denominator of 16\/o - (-2187)\/(-273) and -99\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + j - 1. Let b be w(1). Is b less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-13) - 18\/117\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -35*h + 15*h - 26*h - 28*h. Let y(q) be the second derivative of q**3\/6 - 32*q. Determine y(n(m)).\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -8*l + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7373 - -7524. What is the remainder when 726 is divided by o?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -47 (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 2*z**2 - 2*z**2 + (-2*z + 5*z - 2*z)*(-3*z + 5*z - z) + z**2 - 4*z**2 + 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-20)*5\/(-2). Suppose -x + 145 = -5*n, 3*n = a*x - 53 - 34. Let f = -19 - n. Calculate the remainder when 19 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739*t + 1869*t = 20268 - 2690 + 5022 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**1*(q\/q**(-1\/19))\/q assuming q is positive.\nAnswer: q**(58\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-86633967.\nAnswer: 259901901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 23032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*y**6 - 9*y**5 - 14*y**2 + 7.\nAnswer: -2400*y**3 - 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1 - (1 + -1)). Let p(a) = a**3 + a**2 - 1. Let o(m) = -2*m**3 - 6*m**2 + m + 4. Let c(z) = b*o(z) + 3*p(z). Determine c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3844*h**2 - 12184860*h + 9656010225 = 0. What is h?\nAnswer: 98265\/62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019409 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-75)*(-3)\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dde when three letters picked without replacement from deaeaveeda?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/2 + 101*g**3 + 6145*g**2\/2 - 242556*g - 2361528 = 0.\nAnswer: -116, -9, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 443864889 to the nearest integer?\nAnswer: 21068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -362*v**5 + 2573*v**2 - 4 wrt v?\nAnswer: -21720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2. Let u(w) = 23559*w. Give o(u(g)).\nAnswer: 1110052962*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*h**4 + 805*d**2*h - 7668*d*h**5 - d*h**2 - d wrt h?\nAnswer: 48*d**2*h - 460080*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 92 = 5*l - 3, -3*l - 4*k + 74 = 0. Let a = -28144\/21 + 1341. What is the common denominator of l\/99*(-17)\/(-2) and a?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 6*x = -5*g + 24, -2*x = -4*g + 22. Suppose -2 + 14 = 4*t. Let c(a) = -a - a + 10 + t*a - 8. Give c(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -54. Suppose 29*i - 2 = 30*i. Let w be (s\/i)\/(5 - 33\/6). Solve 0 = 4*t + 5*q - 3, 0*t + w*q = 5*t + 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*b**2*h**3 - 2*b**2*h - 3921*b**2 + 49*b*h**3 - 3*b*h + 163*h**3 wrt b.\nAnswer: -26*h**3 - 4*h - 7842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 - (8 + 4 + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -256*d + 1916622 + 3182642. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/60*-6)\/((12\/65)\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 748 - 746. Let q be -5 + (-3)\/(-3) + -1. What is the closest to 2 in b, q, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -781.\nAnswer: 12\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304 and 20?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 23*v**4 - 35 + (-2*v - 2*v**2 + 2*v)*(14*v**2 - 3 + 3) in the form b + l*v**3 + h*v**2 + p*v + d*v**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 10*m**2 + 7*m - 36. Let h be b(-11). Suppose -644 - 276 = -h*z. What is the highest common divisor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.020339874 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/(-4257))\/((-7)\/(-609))*(-44)\/8?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1379845*g**2 + 2 - 1379869*g**2.\nAnswer: -24*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1900) - (-1 + sqrt(1900))) + (4 + sqrt(1900) + -3 - sqrt(1900))**2 + (1*(2 + sqrt(1900) + -5 - 5*(-2 + sqrt(1900))))**2.\nAnswer: -560*sqrt(19) + 30447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x. Let z(j) = 4*j**2 + j - 150402. Calculate z(b(g)).\nAnswer: 16*g**2 - 2*g - 150402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = -4*s, -2*s + d + 2 = -2. Let c(q) = -4*q + 1. Let k be c(1). Put 3, k, s in ascending order.\nAnswer: k, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -783.2 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10546772?\nAnswer: 2, 173, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*w - 4139*b**2 + 2809*b*w - 185888501*w wrt b.\nAnswer: -4*b*w - 8278*b + 2809*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6818 (base 12) to base 15\nAnswer: -3645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738452 is divided by 184611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 9*o - 20. Let p be v(-12). Let a = 25 - p. Let d be ((-30)\/(-25))\/(a\/30). Solve 11 = 3*i - d, -2*w + 15 = i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*p + 2*p. What is the highest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1564*k + 1369*k - 2925 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 3*a, 4*a - j - 3 = 4. Suppose -2*t + t + d = 0, -a*t + 3 = -d. Solve 11*b + t = 14*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-1 - 6 - -17 - 7)) + 1 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 422 - 3794\/9. Let j = -55 + 54.8. Is j > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1655)\/264*3 - 4\/(-22). Which is smaller: -20 or o?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(117)*-2*-6 - 4*-2*sqrt(117))*-2)\/((sqrt(288)\/(sqrt(32)\/sqrt(4)))\/(-2*(sqrt(16)\/sqrt(4) + sqrt(4)))).\nAnswer: -480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-156)\/16)\/((-156)\/91) and -99\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(22)*2 - sqrt(22))\/(-1*sqrt(50) + sqrt(2)))**2 + -5 - (-3*(sqrt(1331) + -3 + sqrt(1331)) - ((-2 + sqrt(1331))**2 + 4)).\nAnswer: 22*sqrt(11) + 21739\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -269, -662, -1217, -1934, -2813?\n\"Answer: -81*d**2 + 12*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f. Let d(k) = 7*k + 27. Let a be d(-3). Let t(v) = 5*v + 6*v + a*v - 16*v. Let z(l) = 6*g(l) + 39*t(l). Give z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -24 + 1592\/19*k + 14\/19*k**2 = 0.\nAnswer: -114, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 52\/24 + 3\/(-18). Let h be 5*(-6)\/(-15) + 1137. Suppose t = -2*u + u + h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.36 - -2.66. Suppose 580 = -6*x + x. Let k be -4 + (-4 - x\/14). What is the closest to k in q, 2\/19, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.4543l in millilitres?\nAnswer: 69454.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774829 is divided by 9424.\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -q + 4*q. Suppose 5*k - 4*t = 8, 8*t - q = -4*k + 3*t. Let f(z) = 2 + k*z**2 - z - 2. Calculate f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -3220313111?\nAnswer: -3220313102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.19, 3, 431\/3, -0.4 in ascending order.\nAnswer: -0.4, 0.19, 0.4, 3, 431\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 3:54 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65714580 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311612, -311613, -311614, -311615, -311616?\nAnswer: -311617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423.538ng to micrograms.\nAnswer: 0.423538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 23, -4, -11, 8, 59, 148, 281?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 137*b**4 - 2537*b - 6818352?\nAnswer: 548*b**3 - 2537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, v: 2, x: 1, b: 2}. Give prob of picking 2 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 25*g**2 + 9*g**2 - 2 + 14*g**2 to the form w*g + m*g**2 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 17*x**6\/30 + x**4\/6 - 110*x**2 + 4*x + 73. What is the third derivative of d(y) wrt y?\nAnswer: 408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*f - 22, 2*f + 19 = 5*d + 2. Let k = 37 - f. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 591, 732, 867, 990, 1095, 1176, 1227, 1242?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 17*d**3 + d**2 + 10*d - 3. Let c(o) = 3*o**3 + 3*o. Let j(t) = -3*c(t) + v(t). Let h(l) = -l**3 + l**2 - l. Determine h(y) + j(y).\nAnswer: 7*y**3 + 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = g - 4*y, 2*g - 1 = 3*y - 15. Let v = g - -4. Solve 0 = -5*l - 4*f + 3 + 1, -4*l - 3*f = -v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. What is the second derivative of 3*p**2 + 5*p - 6*p - 2*p**n wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h + 5818 + 4131 = 1636. Let g = 55 + -109. Let f = g + h. List the prime factors of f.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 103272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -9.7. Let o = 6.3 - r. Let j = 27 - 27.5. Which is the third biggest value? (a) -1\/4 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1956 and ((117370\/(-10758))\/55)\/(1 + 1).\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 - 4*n + 13. Let x(d) = 14*d**2 + 13*d - 39. Let q(u) = 11*a(u) + 4*x(u). Let k be q(-9). What is the units digit of (-26)\/(-7) - k\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 292339, 1167215, 2625335, 4666693, 7291283, 10499099?\n\"Answer: -n**3 + 291628*n**2 - n + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmi when three letters picked without replacement from zcima.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*(26\/6 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -4*p**3\/3 + 2*p**2 + 24*p - 36. Factor v(c).\nAnswer: -4*(c - 3)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719411.\nAnswer: 3, 23, 24919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 s when three letters picked without replacement from {j: 1, y: 3, e: 1, s: 4, u: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 9*z + 3*d - 11 = 0, 0 = 4*d - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqt when three letters picked without replacement from qtttqttqqttttt?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4400 and 152064?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 751 or 749?\nAnswer: 749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 55.1. Let s = -34 + w. Let f = -1 - -1.5. Which is the closest to s? (a) f (b) -3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2) + 3\/((-1)\/(-1))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/2 (b) -3177 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + (-9)\/((-9)\/58).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**7\/2520 + w**6\/120 + w**5\/120 + w**4\/3 + 3*w. Let a(r) be the third derivative of c(r). What is a(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 4*k + 5*p, 19 = -4*k - 0*p - 3*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 26 - 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 484774349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 151, 353, 695, 1183, 1823, 2621, 3583, 4715?\n\"Answer: d**3 + 64*d**2 + 3*d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3269*k**2 + 4941*k**2 + 2327*k**2)*(k + k**2 + 0 + 0) as g + t*k**2 + c*k**4 + q*k + i*k**3 and give i.\nAnswer: 10537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 264313*f**6 + 125*f**2 + 5*f + 10?\nAnswer: 31717560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -35.38. Let v = -2.28 - h. Let l = v - -2.89932. What is l rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 1756*y - 14 - 10 + 196*y as b + s*y and give s.\nAnswer: 1952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-33))\/((-22)\/6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 820, 2208, 4156?\nAnswer: 6664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1325*j - 201 + 1668 - 80*j wrt j?\nAnswer: -1405","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -29 (b) -1\/3 (c) 5 (d) 5\/4 (e) 2\/47 (f) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b**3 + 7*b**2 + 5*b + 2. Let j(r) = 8*r**3 - 8*r**2 - 6*r - 2. Let z = -16 + 21. Determine z*j(g) + 6*f(g).\nAnswer: -2*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + 272\/(-51). Suppose -4*k + 2 - 26 = 0. Is k != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 8*a**7\/735 - a**6\/84 - 19*a**5\/210 - a**4\/14 + 2396*a**2. Suppose v(b) = 0. Calculate b.\nAnswer: -1, -3\/8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 197 = 3*o, -194 = -n + 103*o - 105*o. Solve 0 = -194*t + n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 4*t - 40, 0 = -f + 5*t + 40. Let n = -39 - -42. Suppose -u + 3*l = -n*u + 25, 4*u = 4*l + f. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -715992 by 4.\nAnswer: -178998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -59 (c) -6\/7 (d) -5 (e) -2\/35 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k + 4. Suppose 124 = l + 5*v, v - 81 - 149 = -k*l. What are the prime factors of l?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*r - 1 = 371*r, 2*m + 24*r + 56 = 0 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18426 + 18426 - 34*w**3.\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4)**(-2\/47))**(-18)\/((u**(2\/33)*u)\/((u*(u*u**(-1\/6))\/u)\/u*u*u))**(-20) assuming u is positive.\nAnswer: u**(-6406\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5144 + 118322\/23. Which is the second smallest value? (a) 5 (b) k (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*w, p + w = 5*w - 9. Suppose -q = -5 + 3. Sort q, -4, p in decreasing order.\nAnswer: p, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/123, 0.07, 0.2, -3\/4, -1.\nAnswer: -1, -3\/4, 2\/123, 0.07, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.52 + -0.51861. What is q rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 39. Suppose -i = p - 3*i - 370, b*p - 1480 = -3*i. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 5. Let n(q) = q - 1. Suppose 0 = -3*w - 15, 11*w = -b + 9*w - 9. Determine b*h(k) + 3*n(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 37*t + 60 = 0. Sort -11, t, -7 in descending order.\nAnswer: t, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -155820835, -155820837, -155820839, -155820841, -155820843?\n\"Answer: -2*t - 155820833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/24 + 5 - 1\/(-3)*-2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 314 + -314. What is the nearest to 6 in 3, -5, n, -2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-66)\/(-10) + (-3)\/5. Let o = -3 + w. What is the biggest value in o, 1\/2, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401035.\nAnswer: 5, 80207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*d - 207*d = 75 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 885*l**3 - 2 + 8*l**2 - 449*l**3 + 52*l - 438*l**3 in the form v*l**3 + d*l**2 + s + o*l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhxxxhz. What is prob of picking 3 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138024*o**2 - 69016*o**2 - 69012*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 15*z**2 - 1091*z - 1110. Let x(f) = -4*f**2 - 4*f + 1. Let w(v) = -5*g(v) - 20*x(v). Suppose w(r) = 0. Calculate r.\nAnswer: -1106, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21708 - 21633. Suppose -4*i = 98 - 638. What is the greatest common factor of z and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-972)\/24)\/(((-24)\/30)\/(108\/(-405)))?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3112221221 (base 4) to base 5\nAnswer: 211113314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -380 times 2754455\nAnswer: -1046692900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 549 and 221979?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 120*x**3 - 2 - 37*x**3 - 1.\nAnswer: 83*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 588 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 7*t + 11. Is (-814)\/(-8)*(-44)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/3 - 4\/(-12). Let h be (-668)\/(-501)*(1 + 21\/(-12)). What is the closest to -2 in -0.4, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/3*(-144)\/12. What is the highest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -12.88. Let j = -15.21 - t. Let q = j + 14. What is the second smallest value in 0, q, -3\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 13, 37, 71, 115, 169, 233?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72602, 72595, 72590, 72587?\nAnswer: 72586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 588 = -15*b. Let v be 9\/b - 576\/(-126). Solve -v*h - j = -1 - 4, 23 = 4*h - 3*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14257 (base 8) in base 2?\nAnswer: -1100010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 + 40*o**3 - 47*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -284 - -289. Let k = -0.0688 + -0.0312. What is the nearest to 0.1 in k, 0.2, -2\/11, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i**4 + 36*i**3 + 239*i**2 + 468*i + 288. Let y(p) = -22*p**4 - 108*p**3 - 722*p**2 - 1404*p - 864. Let z(m) = -16*f(m) - 5*y(m). Solve z(o) = 0.\nAnswer: -8, -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkititktitk. What is prob of sequence tk?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0072*0.02.\nAnswer: 0.000144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 312685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -1\/4 (b) 0.34 (c) -949\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 2*b + 3*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4986*m + 3669*m - 2393*m - 828*m**2 wrt m?\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 2*h**2 - h. Let n be c(2). Suppose -v - 2*v + n = 0. Solve 0 = v*x + 3 - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*o + 420*o = -324 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(20)*3.\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 7*s - 2. Let g be v(-8). Let j be (-1)\/g - 5\/42. Which is bigger: 15 or j?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 20 in decreasing order.\nAnswer: 20, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*u + 24*u - 2*u**2)*(3 - 4 + 4).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -583887, -583866, -583845?\n\"Answer: 21*s - 583908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111 (base 2) in base 13?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 38 in descending order.\nAnswer: 38, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 + 22*b**2\/5 - 52*b\/5.\nAnswer: 2*b*(b - 2)*(b + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5421 + 0?\nAnswer: 5421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1444 or -1443?\nAnswer: -1443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 2. Let l be f(-2). Let u(m) = m**2 + 8*m + 5. Give u(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpbbbbbbbbbpbbbbbb. What is prob of picking 2 p?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 440 = 2*a, 2*c + 14*a = 9*a + 176. Find the first derivative of -9978*q**2 + 139*q**4 + 9978*q**2 + c wrt q.\nAnswer: 556*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20312141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2. Let f(j) = 36794*j. What is f(s(v))?\nAnswer: 183970*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2371a + 1a9?\nAnswer: -23541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -17*x - 2. Let s(z) = -17*z - 2. Let q(m) = -3*r(m) + 4*s(m). Let k(p) = -8*p - 1. Let w(g) = -7*k(g) + 3*q(g). What is the derivative of w(l) wrt l?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062514 to three dps.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3611348 is divided by 190?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 882746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954*u - 1814 - 90 = -1022*u for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 5. Let c be 4 + -14 - (1 + -4). Let r be i(c). Suppose 2*g = -r*g + 232. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.266 times -0.4?\nAnswer: -0.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15 + n + n**2 + 2*n + n - 3*n. Determine i(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 4*m + 48543 - 48711 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(70\/35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 114 = -13*c. Solve -u + 9 - c = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - ((21 - 33) + 35 + -111 - -18).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 2. Let f(w) = -w**3 + 6*w**2 + 11*w - 9. Let g be f(7). Let z = 13 - g. Let j = 4 + z. Let o(u) = 3*u + 7. Give j*o(r) + 7*v(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-28)*48\/(-30)*(-15)\/18. Let r = -0.01 - 2.99. Put r, -2, 3, w in increasing order.\nAnswer: r, -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -13*d**9\/168 - 19*d**7\/105 + 8563*d**5\/60 - 1692*d**2. Find the third derivative of z(y) wrt y.\nAnswer: -4680*y**3 - 912*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -143 + -3643?\nAnswer: -4116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*(-2 + sqrt(125) + 1) - (sqrt(125) - (1 + sqrt(125)*2 + sqrt(125)) - (sqrt(125) + 0)*-4))*-6)**2.\nAnswer: 4499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*p - 318 = -156 - 159, -2*p + 2 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6628 minus -0.419?\nAnswer: 6628.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -23*t + 346. Solve 5*m - 12*v - 9 = -t*v, 5*m - 15 = 5*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e27 - -4?\nAnswer: e2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40738.\nAnswer: 2, 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937127066?\nAnswer: 2, 468563533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105018165, 210036327, 315054489?\nAnswer: 420072651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*x + 6352 = 15627 + 26559 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 619 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p**2 - 5*p - 5. Let w(o) = 12*o**2 - 7*o - 7. Calculate -7*l(x) + 5*w(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.504 + -0.096. Let j = -0.55 - b. Let l be (-1)\/7*2 - 0. Is l at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 668318 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*c - 3*d, -3*d - 23 = 2*c - 0*d for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 8 - 0. Suppose -8*v = -c - 68, -2*v + 3*c - 28 = -7*v. Solve -w = 10*n - v*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3891 + 1967 - 8*d + 1997 - 5*d + 5*d + d + 6*d - 5*d + 3*d + (0 + 1 - 3)*(0*d + 0*d + 2*d) + d + 0*d - 3*d)*(-3 + 0 + 0).\nAnswer: 27*d - 219","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2069, 31693, -5, 2, -1 in decreasing order.\nAnswer: 31693, 2069, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by -1888?\nAnswer: 31\/944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -271, -1133, -2875, -5791?\nAnswer: -10175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/1330 and 97\/950.\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 418266*-36\nAnswer: -15057576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 12) in base 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -40.8. Put 0.5, 2\/7, x in ascending order.\nAnswer: x, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*(-8)\/2*2142\/252?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487785 is divided by 60957.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152 * -0.83.\nAnswer: 126.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 14*v + 26. Suppose v*b = -31 + 171. What is the least common multiple of b and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -3.4. Sort -3, 1\/5, m in ascending order.\nAnswer: -3, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180640811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i - 7. Let c(d) = 4*d - 3. Let r(v) = -7*c(v) + 3*t(v). Determine r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 8*a - 6. Let v(l) = -l**2 + 9*l + 5. Let c(p) = -3*q(p) - 2*v(p). What are the prime factors of c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:12 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + a**2 + a - 6*a**4 + 2*a + 3*a**4 + 2*a**4 - 12 to the form b + o*a**4 + f*a**2 + t*a**3 + r*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3))**20\/((s*s*s**(-6\/11)*s*s)\/s*s**(-35)))**(-1\/13) assuming s is positive.\nAnswer: s**(-634\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.8, 49, -2, -1\/4, 1\/3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 9, -9, -2 in descending order.\nAnswer: 9, 3, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + -2 + (1 + 2 - (-175 + 189))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 455 - 463. Let x be 15\/10*(k\/(-3))\/1. Solve x*t = -t, -2*j = 4*t + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 20*a**3 - 9*a**3 - a**3 - 6*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (13 - 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 + 15*g**2 - 6*g + 4. Let a(z) = 7*z**3 + 31*z**2 - 11*z + 9. Let j(q) = -4*a(q) + 9*u(q). Factor j(m).\nAnswer: -m*(m - 10)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10548 + 232149\/22. Calculate the common denominator of 47\/22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 2377902 + 8102393 = 20*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/7 + 194*n\/7 + 9409\/7.\nAnswer: (n + 97)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -41*o - 5. Let k(i) = -20*i - 3. Let a(l) = 5*k(l) - 3*z(l). Let x(r) be the second derivative of 17*r - 1\/6*r**3 + 0 + 0*r**2. Calculate x(a(t)).\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -80. Suppose 4*h = -4*a + a - f, 0 = -2*a - 2. Solve -x + 5 = -h*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -168, 5, -1 in descending order.\nAnswer: 5, -0.4, -1, -2, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-21)*(-26)\/(832\/(-48)). Let y = -1.09 + 0.09. Which is the third smallest value? (a) y (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 50*m. Let f(d) = 2*d**2. Give s(f(t)).\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 15\/50*-18. Which is the closest to 0.1? (a) 0 (b) -0.05 (c) r (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2349 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 - 27*y + 33. Determine w(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16*-4)\/(-18 - (4 - 14)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 5:29 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3, 2*b + 2*n - 34 = -0*b. What is the least common multiple of 8 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 + 883*c\/3 + 884\/3.\nAnswer: -(c - 884)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(245) + 0) + 4 + sqrt(245) + 3 + 3 + sqrt(245) + -3)**2.\nAnswer: 490*sqrt(5) + 6174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:28 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 10*m - 79*m)*(2*m - 5*m + 5*m)*(-m + 3*m - 4*m).\nAnswer: 352*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 5060*s.\nAnswer: -4*s*(s + 1265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5 - 3*u**5 + 3*u**4 - u**3 - 17*u + 19*u - 3*u**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-1 + (-62)\/(-20) + (-23)\/230)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {s: 1, a: 1, j: 7, b: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*1\/((-1)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 10. Let j(n) = 23*n - 110. Determine j(i) - 10*t(i).\nAnswer: 3*i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 11 - 23 = 2*o, 0 = 4*o + 2*a + 18. Let g(u) = -2 - 82*u + 86*u - 5. Let y(p) be the first derivative of p**2 - 3*p - 1. Give o*y(q) + 3*g(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 40*a**2 + 3*a - 103. Calculate the remainder when 118 is divided by f(40).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37301 and 198?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 13*n**2 + 723*n + 6869. What is a(-9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6237222*l*z**3 - 8605777*l*z**2 wrt z?\nAnswer: -37423332*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) -0.188 (c) 3\/4 (d) 2 (e) -0.5 (f) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than 1\/6320137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15604 - 85654?\nAnswer: -70050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10578073 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - (-4)\/(-2) - -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24910231*c**5 + 2*c**4 + 29546020*c**2 wrt c.\nAnswer: -1494613860*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 16. Let i be c(-3). Let s(b) = -2394*b - 43. Is s(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 6 - (2 - (-5 + 10))) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 815744, 1631492, 2447240, 3262988?\n\"Answer: 815748*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/6)\/((-110)\/(-60)))\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*f - 4*f = -70, 3*f + 35 = -u. Let t = u - -32. Let q(w) = -62*w + 687. Let g be q(11). Sort 4, t, g in increasing order.\nAnswer: 4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggcvg. What is prob of sequence gcg?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 7688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-993)\/21 + 2\/7. Let q = -1751 - -1701. Let w = l - q. Solve 5*h + 3 = 2*v, v - 2 = w*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3753420 and -89\/191290.\nAnswer: 138876540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -0.4 (c) 0.3 (d) -0.0547 (e) 4 (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkkzfkvkvfkkkzkzfkkk. What is prob of sequence zk?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81328 and 61594?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 26 = -5*s + 6, -1 = y. Suppose s*g - g + 5*c - 240 = 0, c - 3 = 0. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.706 and 0.9.\nAnswer: -7.8354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -17*r - 2*r + 57*r + 46*r + 19*r. Let u(a) be the first derivative of a**3\/3 - 3. Determine u(z(v)).\nAnswer: 10609*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3 - 3 - n**2 + 8 as x*n + w*n**2 + s and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -2162.99974\nAnswer: -10814.9987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 732707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31821709275+-13247\nAnswer: 31821696028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(3\/(-48)). Let l be (-4)\/16 + (-10)\/q. Suppose -l = x, -4*w - x + 139 = 44. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91582 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7412790 divided by 11\nAnswer: -673890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28*2)\/(7\/((-294)\/(-9)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1780*g + 1779*g + 1289156 = -5*j, 3*g - 3867518 = 5*j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 1\/2*j**4 - 1\/10*j**6 + 14*j + 1\/14*j**7 + 1\/2*j**3 + 0 - 3\/10*j**5 - 3\/2*j**2. Solve b(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 216284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**4\/12 + 3*s**2. Let y(x) be the first derivative of -14\/3*x**3 + 0*x + 0*x**2 + 10. What is y(o(c))?\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 68686*a + 941*a**2 - 68686*a + 2 as f + o*a + c*a**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -258 - -261. Suppose -4*h + 772 + 1964 = 5*z, -t*z - 4*h = -1640. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2143 = 4*r - 2257. Suppose 4*y = 2*w + 902, 9*y + 3*w - r = 4*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 242054 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 27*n**3 - 143*n**2 - 113*n + 8. Give x(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802 + 662 = 93*l + 255 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 8. Let u be s(4). Calculate the highest common divisor of 20 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10920079 is divided by 232342.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0*p - 47\/2*p**3 + 0*p**5 + 0*p**4 + 203*p**2 - 88\/105*p**7 + 0 + 0*p**6. Find the first derivative of m(t) wrt t.\nAnswer: -704*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39138, 0.3, 0.2, 0.6, 2\/3, 3\/8?\nAnswer: -39138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23779345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1161136 to 3 dps.\nAnswer: 4.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45852258\/359 + -127722. Let u = v - 18913\/12206. Calculate the common denominator of -19 + (-15 - 8912\/(-224)) and u.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -7 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227251520 divided by 113625760.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -40338*d + 1397. Is s(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22250\/4)\/((-2)\/(-16)). Let l be (j\/3)\/((-5)\/30). What is l rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -26. Suppose -f = 4*m - 1808, v*f = -5*m + 1390 + 881. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2685, -5540, -8395, -11250, -14105, -16960?\nAnswer: -19815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4367 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from crcrcccrrmrhmrrrcch.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2) - (-1)\/2. Suppose -6 = -2*m - r*m - 3*i, 2*m - 4*i = -8. Put -2, m, 3 in descending order.\nAnswer: 3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccs when three letters picked without replacement from {s: 1, r: 5, m: 1, o: 3, c: 10}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 21*j - 18*j + 36 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4089 and 261.\nAnswer: 12267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793367?\nAnswer: 137, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 3*s. Let f(b) = -4*b**2 - 4*b**2 - 141*b + 134*b + 2*b**2. What is -7*d(x) - 3*f(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from zlazcdccacz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 15) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -44*t - 390. Calculate a(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -36. Suppose 5 = 6*q - d. Suppose -5*s - q*j = -497, 2*j - 356 = -3*s - 57. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 14 - 2)*(3 - 1 + 0)*(0*d - d - 3*d) as p*d + g and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:57 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -315 + y**2 - 56*y + 9*y**2 + 111 - 6*y**2.\nAnswer: 4*(y - 17)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -197. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Suppose -1649 = -27*d - 1892. Let t(g) = g + 2*g - 2*g. Let q(f) = 3*f**2 - 9*f. Let c(k) = d*t(k) - q(k). Calculate c(u(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10908570\/359 - -30386. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixpefix. Give prob of picking 2 i, 1 p, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -8)\/(-6 - 142\/(-24)). Find the third derivative of 2*p - 11368*p**2 + r*p**6 - 11*p**6 + 11372*p**2 + 79*p**6 wrt p.\nAnswer: 22560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5 + 326*y**4 - 942*y**3 - 2926*y**2 + 7384*y - 3840 = 0. Calculate y.\nAnswer: -3, 1, 4, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/624 and (-1844)\/(-336) + (-10)\/105*-1?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16874696?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 0*l + 2*l**2 + (27 + 13 - 2)*(18*l**2 - 159*l + 159*l) to the form n + a*l + h*l**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 16*q + 6. List the prime factors of d(15).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -149 and -5.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/3, -1\/12, -6\/11, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.736555 minutes in microseconds?\nAnswer: 464193300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 616 and 39816.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/60 - 45924*g**2. Let y(h) = 29*h**2 + 2 + 0 + 8*h**2. Calculate o(y(s)).\nAnswer: 1369*s**4 + 148*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2723559\/2 - -41020307\/30. Suppose -107*s + 102*s = -4*r - 27819, -r - 16683 = -3*s. Let l = s - o. What is the common denominator of 77\/24 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/9)\/((-3)\/(-27)*2). Suppose 5*z + k = -12, -3*z + 2*k - 4*k = n. Let o = 6 + z. What is the remainder when 10 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0*l + 2. What is the first derivative of -5 - 7*h**3 - 4 - l wrt h?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/14*(-14)\/4 + (-3608)\/656.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19675 at least -19638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 5*g**2 - g. Let p be d(-5). Find the first derivative of -6 + 4*l - 20*l - 5*l - p*l wrt l.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*y + 122*y + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17290494 and 4940.\nAnswer: 172904940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/(-12))\/((-6)\/16). Is u\/(-9)*(-1062)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34950.\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 32.5. Which is the third biggest value? (a) r (b) 2 (c) -7\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18826 + 0.01151.\nAnswer: -18825.98849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -722146 rounded to the nearest 1000?\nAnswer: -722000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209655959.\nAnswer: 209655959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66, -62, -58, -54, -50?\n\"Answer: 4*v - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 9*r - 14. Let z be c(-11). Suppose -2 - z = 2*d, 0 = 5*h - 5*d - 15790. Factor -5 + h*j - j**2 - 4*j**2 - 3163*j.\nAnswer: -5*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1241 + 2568 + u**2 - 5*u**2 - 1211 as l*u + c*u**2 + g and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 - -26.33. Let z = 83 - u. Let d = z - 62. Which is the closest to -0.1? (a) 1 (b) -2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*c + 29, 0 = 3*c + 4*g - 22 + 5. Let h be (c\/1)\/(-1) + 6. Suppose 4*x + h = 51. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 17*b**2. Let m(y) = y**2 + y + 1. Let c(f) = 6*f**2 + 5*f + 5. Let j(d) = c(d) - 5*m(d). What is j(w(a))?\nAnswer: 289*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**4 + 54480*y**3 + 134336870*y**2 - 76635109200*y + 9893532111125 = 0.\nAnswer: -5695, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442\/(-380) - -4 - 7\/70?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*i - 722*i + 1 = -x, 0 = 10*i + 4*x + 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1767191345?\nAnswer: 5, 353438269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.2, 0.11, -1\/5 in increasing order.\nAnswer: -5, -1\/5, 0.11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 4. Let i be l(-4). Let w(r) = -r**3 + 7*r**2 - 1. Let o be w(7). Let g be ((-26)\/o)\/1 - 1. Solve i = -4*x, 2*x - 1 = -5*q - g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6*p = -18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n**2 - 15*n**2 + 10*n**2 - 69*n**2)*(-2*n**2 - n**2 + n**2).\nAnswer: 112*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 10. Let x be w(7). Suppose 2*b - 3*y - 44 = 49, 2*b + x*y = 75. Suppose 4*k - 106 = b. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 (base 4) in base 10?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-12)*564\/94?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200357456*r**3 + 91426571*r**2.\nAnswer: -1202144736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 9. Let n be z(9). Find the common denominator of 12\/11 and (n - -3) + 86\/(-12).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29962, -29931, -29880, -29809, -29718, -29607, -29476?\nAnswer: -29325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 0.5 (b) 1953 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*d = -25, 5*n - 105 = 94*d - 89*d. Let h = 0 - 0. Solve -2*t + h*t - n = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -37*y**3 + 2*y**2 + 8*y + 7. What is the remainder when 377 is divided by k(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 30 = -3*d, d + 1 - 33 = -5*m. Let o be 640\/6*(-7 + (-633)\/m). Round o to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.72 - 6. Let y = f - -1.57. Round y to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*w - 23 = -6, 0 = -2*w + 8. Let a be 2\/7 + m\/(-70)*6. Solve z**3 + 7\/5*z + a*z**4 + 2\/5 + 9\/5*z**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86798 + 128196. What is the ten thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-63) - (-927)\/189. Suppose 2*r + 1013 = 5*z, z - x*r - 273 = -52. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36798015 to the nearest integer?\nAnswer: 6066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7 or 18\/4895?\nAnswer: 18\/4895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002448 to six decimal places.\nAnswer: -0.000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2617, 2616, 2613, 2608, 2601?\nAnswer: 2592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 46 - 57 - m - 39 + 6.\nAnswer: -m - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -85. Calculate the least common multiple of r and 2 - 0\/(-2 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 1, p: 1, q: 1, a: 1, w: 1}. What is prob of picking 1 k, 1 y, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1811 is divided by 900.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5588070 is divided by 2344.\nAnswer: 2318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 4*f + 10, -8*p + 4*p = -f - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-15) - 14\/3. Let d be (-10)\/q + 34\/(-14). Which is the closest to 0.1? (a) 5 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*l**3 - 2*l**2 + 774*l + 263474 with respect to l.\nAnswer: 45*l**2 - 4*l + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072 is divided by 261?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.31 (c) -174\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -e4 (base 16) to base 4\nAnswer: -3210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/6 (b) 56020 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -11161585 and -11161590 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - v - 1. Let f be t(2). Let k be 6\/f + 20\/6. Suppose k*m + 0*m - 52 = 0. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 631 + -630.9. Is v smaller than 224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 55 + 69 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3\/7, -2\/29, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30341411 (base 5) in base 8?\nAnswer: -741321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001392091 rounded to six decimal places?\nAnswer: 0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 6 = 0. Let n = -1 - d. Suppose 0 = -l + 3 + n. Solve 5 - 25 = l*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 104 + -8 + 2. Suppose -6*u + 98 + t = i, -5*i + 1002 = 3*u. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 3959748.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 328556717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 14*h + 19. Let u be a(-15). Solve 5*f - 7*f = -u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -34, -40, -26, 14, 86, 196, 350?\n\"Answer: s**3 + s**2 - 30*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 10. Suppose x = 2*x + 6. Let s be d(x). Let o be 3\/(-2)*(-24)\/(-9). Put s, -3, o in descending order.\nAnswer: s, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 2c5b30?\nAnswer: -2c5b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-7\/3))\/((x**(-6\/5)*x)\/x))**47)**(-4) assuming x is positive.\nAnswer: x**(-12784\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101111 (base 2) in base 6?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 288*b**2 + 175*b + 340. List the prime factors of l(-2).\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 315 = 4*a. Let f = 251\/4 - a. Let c be (-1)\/(-9)*6\/(-4). What is the second smallest value in f, c, 1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6399480923.\nAnswer: 11, 23, 881, 28711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/374448?\nAnswer: -5\/374448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 13. What is the least common multiple of 11 and z(6)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76826.4379 to zero dps.\nAnswer: -76826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19686 (base 10) to base 5.\nAnswer: 1112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/19, 8, 1\/6, -0.2 in decreasing order.\nAnswer: 8, 1\/6, -3\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 259255285 to the power of 1\/2, to the nearest integer?\nAnswer: 16101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 4*j - 7. Determine i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h**3 + h**3 + 5*h**3)*(-318 - 405 + 894) + h**3 + 7*h**3 - 2*h**3)*(-3*h - h + 5*h).\nAnswer: 519*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 50 + -24 - (-14 - 8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 1. Let u(l) = -5*l**2 - l - 7. What is 6*j(h) + u(h)?\nAnswer: 13*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -94262 + -17455?\nAnswer: -111717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = k + 4*t + 51, -17*k = -14*k + 2*t + 38 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7599.386*0.3.\nAnswer: -2279.8158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.48 and -722?\nAnswer: 722.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*m - 25*m - 10. Let x(r) = 42*r - 42*r + 2*r**m. Let w(p) = -10*p**2. Determine w(x(b)).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834.6598mg to micrograms.\nAnswer: 834659.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 206 or 214?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/27 - 97\/54. Let w = 13.8 - 76.8. Let d = -65 - w. Which is the second biggest value? (a) -4 (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 + 282*p + 135. What is j(-34)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 12:52 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0180669259 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 14. Let j = 6.8 - z. What is the third biggest value in j, 2\/3, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.98 + 0.02. Let z = y - 2.1. Let s be (-16)\/10*1\/2. Which is the second smallest value? (a) -5 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17130)\/(-6281)*(-1452)\/55\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.66 + 4.66. Which is the closest to -1? (a) 22\/21 (b) g (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12)\/(-20*10\/(-600)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t + 3*f - 5 = 34*t, -f + 4 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = v + 28, 2*g + 13 = 3. Suppose 7*a - 156 = -6*a. Suppose p = 2*l - 0 + a, -p = 4*l + 18. Put v, 2, l in ascending order.\nAnswer: l, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from fopkukouuu?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 3488?\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -3, 1, 132148 in increasing order.\nAnswer: -3, 1, 28, 132148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 19*l**2 - l - 304. Determine v(0).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p**2. Let t(i) = 25*i**2 - 31. Calculate t(z(u)).\nAnswer: 2500*u**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*q = 212*q + 142*q + 18085 - 6378 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -14.5. Let w = -13 - n. Let r = 1 - 1.1. Is r smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 4*l + 2*k - 59902 = 0, -2*k - 59918 = -5*l. List the prime factors of ((-18)\/(-15))\/(5 - l\/2400).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:41 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7003000 to the nearest 100000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 2. Let u be s(-10). Let p be (u\/(-6))\/2*6. Suppose p*m = 5*i + 45, i - 15 = -2*m + 2*i. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let q(w) = -w**2 + 7*w + 11. Let a be q(9). Let h be b(a). Calculate the lowest common multiple of 10 and (h\/4)\/(9\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 12*g + 2*g)*(2 + 0 + 1)*(-2 - 3 + 3) to i*g + o and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-38)\/(-12) + -3)\/6. Let q(h) be the second derivative of 1\/18*h**3 + p*h**4 + 0 + 0*h**2 + 4*h. Factor q(k).\nAnswer: k*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -702677 + 1045?\nAnswer: -701632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000255261189 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3920, 5859, 5820, 3797, -216, -6225?\nAnswer: -14236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210601 or 210604?\nAnswer: 210601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from qmqmqqqqqqmqmq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.17 (b) -0.048 (c) 35\/152 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1846*b**2 - 1850*b**2 - 1849*b**2 - 1853*b**2 - 2134*b**2 + 11382*b**2 - 1849*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/3 - 21002770*m\/3 + 42005548\/3 = 0 for m.\nAnswer: -10501387, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 times 4236?\nAnswer: 830256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 4*f**2 + 6*f - 5. Let w be q(5). Let y(v) = 2*v**2 - 35*v + 155. Let h be y(9). Put h, w, -1, -12 in increasing order.\nAnswer: -12, -1, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -19*o + 10 - 27*o**2 - 3 + 0*o**3 + o**3 + 39. What is the tens digit of w(28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 22*x - 19. Let w(d) = 7*d - 7. Determine -4*h(r) + 11*w(r).\nAnswer: -11*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 divided by -6?\nAnswer: 178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -9 + -21 - (-3 + (3 - -7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222 divided by -56.\nAnswer: -111\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2\/(-3))\/(4977\/(-3780)*40)?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 309 - 305. What is the nearest to 1\/2 in o, -41, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241409482 a multiple of 2577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 490560 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*b + 24 = 0, -3*b = -4*w + 42 - 15. Solve -75*j - 4*c + 10 = -72*j, 0 = -w*j - c - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25123169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 0.562.\nAnswer: -0.6182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 10*t**2 - 29*t + 50. Let k be v(22). What is k rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 0*r)*(-2*r**2 + 3*r**2 + r**2) - r + r**3 + r - 1142 - 51*r**3 + 1142 - 38*r**3 + 13*r**3 - 15*r**3 + 0*r + 2*r**3 + r + 0*r**2 + 2 + r**2.\nAnswer: -90*r**3 + r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 6. Let c be ((-3)\/3 + 1)\/o. Solve -5 = -5*p - 5*t, c = p + p - 2*t + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872630 at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**3 + 1\/2*r**2 + 2*r + 1\/2*r**4 - 2. What is the smallest common multiple of c(2) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 36. Let h be m(-17). Let v be 32500020\/(h\/3) + -4. Suppose -2*i + i + v = j, -3*j + 19500000 = 4*i. What is j rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 28, -230, -670, -1292?\nAnswer: -2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494219 to the power of 1\/2, to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*((sqrt(1377) - (4 + 1*sqrt(1377)) - sqrt(1377) - (sqrt(1377) + 1 + -2)) + -3 + 4)**2)*2.\nAnswer: 432*sqrt(17) + 33064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 20 = 0, 4*q + 13 = 4*n - q. Let x(s) = -4*s**2 - s - 4. Let l be x(n). Is 0 - (-3)\/((-3)\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 9 = -9*r. Let s = 6 - 3. Suppose -3 = -s*h - 5*m + 13, 6 = 3*m. Solve -5*j + h*j = r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 1440?\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 7*l**3 - 4*l**3)*(2*l - 4*l + 12*l) - 3*l**4 + 0*l**4 + 2*l**4.\nAnswer: -111*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*t**2 - 344*t + 344*t.\nAnswer: -107*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*n - 207 = 128*n. Put 1, -3, n, -118 in increasing order.\nAnswer: -118, -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(1 - 2 - 0). Let o = -3 - 0. Let c be (7 - (o - 0))\/(-2). Put c, 5, b in descending order.\nAnswer: 5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 6*r - 10. Let q(i) = 2*i + 8. Let u be q(-8). Let v be t(u). Solve v*j = j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1335\/2 - -668. Let q(j) be the second derivative of 0*j**5 + h*j**2 + 0 - 4\/15*j**6 + 7*j + 0*j**3 + 0*j**4. Find the first derivative of q(m) wrt m.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0571 - 0.3429. What is the closest to 7 in u, -3\/5, -2, 1\/143?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 3*l + 2 + 1.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 3*d - 2. Let k be n(-1). Suppose -a = 3*v - 1097, 0*v - 2*v = -k*a - 713. List the prime factors of v.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and 2.1068?\nAnswer: -61.0972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -26 - 28 - 8*g - 18. Let w be b(-9). Solve a = -p - 3 + 8, -3*a + 5*p - 1 = w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.22939 minus -0.2?\nAnswer: -1.02939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2 - 10*h + 174?\nAnswer: 4*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f. Let d(k) = -7*k - 6. Let y(m) = -15*m - 13. Let i(x) = -13*d(x) + 6*y(x). Let c = 0 + 1. Let n be (-3)\/(4 - c)*2. Give n*t(o) + 11*i(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + (3 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101101010010 (base 2) in base 6?\nAnswer: 331110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -17757811.\nAnswer: 2\/17757811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -245425, -490808, -736191, -981574, -1226957?\n\"Answer: -245383*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-23)*m)**(6\/17)\/(m**(-1\/2)*m**(-1)) assuming m is positive.\nAnswer: m**(-201\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 424889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*g - 277, -2*g - 3*g + 491 = 4*z. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2965*y - 2977*y - 168 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -3\/26899904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmzmmzzmmzmmmmmtz. What is prob of picking 1 t and 1 m?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g - 63*g = -1575 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2986701 take away 4725.5?\nAnswer: -4725.2013299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13733*z - 13733*z - 3050*z**2 - 16802*z**2.\nAnswer: -19852*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 106 - 6 = 0. List the prime factors of (-15)\/2*t\/(-35).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*c - 1686 = 0, 15 = -103*c + 98*c. Calculate the remainder when g is divided by 212.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.366 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*l**2 - 11*l**2 - 7*l**2.\nAnswer: -216*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - g. Let l(x) = x - 25. Let f(b) = l(b) + n(b). Let r(y) be the first derivative of -y**2\/2 - 2117. What is f(r(t))?\nAnswer: t**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-2)\/4) + 3. Let h(r) = -l*r + 4*r - 2*r - 2*r. Let z(m) = -1. Let x(j) = -17*j + 51. Let b(n) = x(n) + 51*z(n). Give h(b(c)).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58609*u**3 - 292*u**2 - u + 19 wrt u.\nAnswer: 351654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 6*a + a)*(2 - 2 - 4*a)*(0*a**3 + 0*a**3 + 2*a**3).\nAnswer: 32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 15*c - 82. Calculate a(12).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 109773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 2\/3*n**3 + 7*n + 14 - 15\/2*n**2. Let v be d(7). Solve 1 = -v*y + y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31, -29, -27?\n\"Answer: 2*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2627 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 38708673.\nAnswer: -19354336.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1)*(133*x**3 - 282*x**3 + 125*x**3 + x**2).\nAnswer: 48*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49838.82 meters to kilometers.\nAnswer: 49.83882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**6 - 21*k**5 - 2*k**4 - 12*k**2 + 2*k. Let u(d) = d**6 + d**4 - d. Let y(c) = m(c) + 2*u(c). What is the third derivative of y(w) wrt w?\nAnswer: -120*w**3 - 1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3418*59.\nAnswer: -201662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.4779 and -4.\nAnswer: -13.9116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 370460 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5\/3 - 116*l**4\/3 - 1144*l**3\/3 - 1840*l**2\/3 = 0.\nAnswer: -46, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, i: 2, m: 1, s: 1, b: 4, v: 5}. Give prob of picking 1 m and 1 k.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:17 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in centuries?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/(-483)*(-138)\/16. Let q be ((-36)\/(-112))\/((-6)\/(-76)). Let h = x + q. Find the common denominator of -67\/10 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1. Let q(s) = 810*s + 48. Let v(t) = -293*t - 17. Let u(m) = 4*q(m) + 11*v(m). Calculate u(h) + 5*w(h).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -138 and 2.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/4 + 57*m**4\/2 - 711*m**3\/4 + 269*m**2 - 120*m = 0. Calculate m.\nAnswer: -120, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 4*l - l**3)*(-2*l + 4*l - l) + 1078*l**4 + 365*l**4 - 335*l**4 as z + u*l + r*l**4 + p*l**3 + i*l**2 and give r.\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*s = -13, 0*j - 3*s = 3*j - 33. What is the remainder when 34 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -27 (c) -408.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 42.2. Let j = -0.1 - -0.1. Let h = c + j. What is the nearest to 1 in h, 0, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1\/3. Let p = 1 + 0. Let k be (7 - 5)*2\/5. Which is the second smallest value? (a) k (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*z = 8 - 53, 0 = 4*b - 5*z + 15. Let m(t) = -t**2 - 11*t + 12. Calculate the lowest common multiple of 6 and m(b).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 13) to base 16\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z\/z**11*z)**12 assuming z is positive.\nAnswer: z**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 345863125 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-32))\/(12\/48)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + z - 3. Let a be u(-2). Suppose 0*l = a*l - 1998. What are the prime factors of l?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaabaaabaaaaaaa. Give prob of picking 2 a.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037186 to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64994544 - -34485236. Let i = -70033277 + c. Let d = 59546503 - i. What is d rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.37 + -25.63. Let x = -2.86436 + 28.85776. Let j = f + x. Round j to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*x - 4*x**2 + 8*x - 51749*x**3 + 51748*x**3 - 2*x**4 + 2 as t*x**4 + a*x**3 + s + w*x**2 + y*x and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, j: 2}. What is prob of picking 2 h and 2 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-306)*3\/20*4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 992*h**2 - 904*h**2 - 61*h**2 - 1572*h**2 - 2120*h**2. Let v(o) = -2*o**2. Give b(v(y)).\nAnswer: -14660*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 + 7*p - 7. Let s be j(-6). Let i = s + -65. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-27)\/(-2052)*19)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -15, -1\/2, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 3*r - 2. Suppose 5*m + 13 + 10 = 3*d, 2*d - 14 = 2*m. Calculate the remainder when z(-5) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = -3, -5*c + 3*t + 17 = 0. Let s = 8 + -1. Suppose 5*b - s - 8 = 5*u, -3*b = -9. Solve u*l - c*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20*l**2 + 17*l + 52. Calculate q(-5).\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -3, 126317, -2, 3 in decreasing order.\nAnswer: 126317, 57, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + -1 - sqrt(700) - (5 + (sqrt(7)*1 - sqrt(7))**2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -915753\/907 or -1011?\nAnswer: -915753\/907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-175))\/((-6)\/(-4)*10\/(-105))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 2*z - 1, 3*a + 3*z - 3 = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 379749 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5308 divided by -49?\nAnswer: 5308\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m + 65. Suppose -5*y + y - 4*w - 24 = 0, -5*y = 2*w + 39. Let q be u(y). Which is bigger: -0.8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33 - 7\/((-7)\/2). What is the units digit of (-10)\/m + (-254)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -2, 1, 428 in ascending order.\nAnswer: -2, 1\/5, 1, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 10:34 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 13 in increasing order.\nAnswer: -5, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = 2*q - 341. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.2. Let v = m - 0.5. Let x be 1 - 14*(-2)\/(-8). What is the nearest to 1 in -1\/2, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:10 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4126, -8251, -12376?\nAnswer: -16501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -o + x, o - 16 = -2*o + 5*x. Let k = 3\/26 - 99\/13. Let w = k + 215\/26. Which is smaller: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v + 2*f - 10 = 63*v, -5*v = 5*f - 5*f - 11*f - 26 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -11. Suppose 11*a = -l - 5. Let p(h) = -2*h - 2. Let d be p(a). Solve -5*o + 2*k - k - 9 = d, -2*o = -2*k + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 16. Suppose 4*v + 46 = c*n, -15 = 4*v + 4*n + 13. Let a = v + 34. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25517, 1, -5, 2, 4 in decreasing order.\nAnswer: 25517, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdtvdlkk. Give prob of sequence tl.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14601\/20 - 730. Let r(g) be the first derivative of -k*g**4 + 0*g**5 + 3 + 0*g**3 + 0*g + 1\/30*g**6 + 0*g**2. Factor r(a).\nAnswer: a**3*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-5) - ((-36)\/(-5))\/(-3). Let c be ((-40)\/(-60))\/(1\/m). Solve -q - 4 = -c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 459*x**2 - 111*x - 171. Let w be f(-2). What is the highest common factor of 306 and w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Suppose -3*m + x = -20, r*m - 9 = -2*x + 1. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 6:30 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -544, -3, 3, -4, -451, 8, 0 in increasing order.\nAnswer: -544, -451, -4, -3, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35584 and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3276 - 5486. Let w = h - -52433\/6. Calculate the common denominator of -16*(-4)\/40 + -2 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*d - o - 61, -d - 2*o - 1 = 0. Let p = 13 + d. Let f(z) = 1206*z - 33765. Let c be f(28). Solve -5*i - p*n = 4, 4*i + 2*n = -c + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5*-6*(-1*sqrt(180) + sqrt(180)))\/(sqrt(108)\/(sqrt(12)*-1) - (sqrt(9) - sqrt(81)*-4 - sqrt(9))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - x)*(-1 - 4 + 4)*(1 + 1 + 1).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -13*x**6\/30 - 2*x**3\/3 - 3*x. What is the second derivative of j(p) wrt p?\nAnswer: -156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 11. Let f be (q\/(-15))\/((-1)\/5). What is the units digit of (-9)\/((-1)\/(-1) - f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*k - 0*k + 3, 69 = -5*j - 3*k. Let w be ((-52)\/j)\/((1 - -1)\/6). Solve -7 - w = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 + 10*g**3 + 465 - 478.\nAnswer: -3*g**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + (sqrt(684) + sqrt(684) + 0 + sqrt(684))*-5 - -5*(sqrt(684) - (2*sqrt(684) - sqrt(684))))**2.\nAnswer: 134064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*2*4)\/sqrt(11).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 1. Let s(u) = -2*u - 35. Give -3*p(f) + s(f).\nAnswer: f - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1112 = -4*l, 5*l + 0*r + 3*r = -1390. What is l rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or 3448?\nAnswer: 3448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74130809 rounded to the nearest one million?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 21 + (16 - 0) + -209 + 213?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1216\/(-512)*4\/38?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2028, 1039, 46, -951?\n\"Answer: -2*o**2 - 983*o + 3013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.999 times 0.631?\nAnswer: 9.464369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -1\/32, 1.6, 4\/5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 938265 and 3427971.\nAnswer: 2643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i - 5*h, -5*h = -0*h - 20. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 244 = -258. Find the third derivative of -31*z**2 + 12*z**y + 73*z**3 + 7*z**2 - 6 wrt z.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 984, 1965, 2946, 3927?\n\"Answer: 981*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -92*v + 17. Determine g(2).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 172*q**3 + q**2 - 2*q + 1. Let i be y(1). Suppose 0 = 7*o - 5*o - i. What is the remainder when o is divided by (-22)\/((-5 - 0)\/5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12687 divided by -675.\nAnswer: -4229\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**3\/7 - 207*h**2\/7 - 14283*h\/7 + 187. Determine d, given that p(d) = 0.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 2*p, 0 = 5*v + 4*p + 189 - 173. What is the second smallest value in -3, 5, v, 2\/3, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/19))\/(m\/m**(-4))*m\/((m*m*m**(-3)\/m*m)\/m)*m\/(m**(-4)*m*m)*m*m assuming m is positive.\nAnswer: m**(74\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 171371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 + 0.94. Let c = -0.4 + 3.1. Let m = t + c. What is m rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*u - 13*u**2 - 7*u + 3*u**2.\nAnswer: -10*u**2 - 506*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2778*j - 86068. Determine h(-31).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -2\/11 (c) 2\/7 (d) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqtwtwwqqwhtw. What is prob of picking 1 x and 1 h?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011101001 (base 2) to base 14.\nAnswer: -3b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35832 + 3*c**3 - 17917 - 17915 - 9*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.3, -2\/3, 11, -5 in increasing order.\nAnswer: -6, -5, -2\/3, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 214 = 4*h, 5*h - 326 = -5*d + 4*h. Suppose -6*r = d - 276. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -8.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152558 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14715 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 0.01, 0.086, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from xiwdwizdgggd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**5\/60 + 7*q**4\/12 - q**3\/2 - 4*q**2 + 3*q - 102. Let w(l) be the second derivative of f(l). Give w(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048914687 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 2*w)*(-2663 + 1330 + 1330 + 156*w + (-6*w + 4*w + 3*w)*(-2 + 0 + 4)).\nAnswer: 316*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 1990*t + 196385.\nAnswer: 5*(t - 217)*(t - 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 = -x. Suppose -o + 42 = x*a, 2*a - 232 = -5*o - 2*a. Let q(y) = -9*y - 2. Let d be q(-2). Calculate the greatest common divisor of o and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let c be r(2). Let t = c - 2. Suppose 4*h - 31 - 9 = t. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v - 2255 = 0. Is v\/(-4) - 1\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177901470763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}