diff --git "a/data/dm_maths/full_data_2/133_11255.jsonl" "b/data/dm_maths/full_data_2/133_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/133_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i(d) = -3*d**2. Let f(w) = -2*w**2 + 4*w - 4. Let c(y) = -7*y**2 + 11*y - 11. Let g(h) = -4*c(h) + 11*f(h). Give i(g(k)).\nAnswer: -108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823600.9 years to months.\nAnswer: 9883210.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*h - 28 + 105*h - 164*h as q + p*h and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2854231.\nAnswer: 23, 124097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(885*17\/(-102))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 61. Let x = 5.934 + -6. Let v = x - -6.066. Which is the nearest to j? (a) -6\/5 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*s**2 + 16*s**2 - 37*s**2)*(27*s - 443 + 443)*(1 - 2 + 4).\nAnswer: -648*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1938900 and 13800?\nAnswer: 3877800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -416, -403, -372, -317?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*j - 3027 = -87*j + 3498 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 203\/12*l**4 - 42*l + 9\/2*l**2 - 2 + 11\/6*l**3. Find the second derivative of y(b) wrt b.\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127121863 to the power of 1\/2, to the nearest integer?\nAnswer: 11275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4 - 2017*p**3\/2 + 237783*p**2\/2 + 2092220*p + 4833400 = 0.\nAnswer: -13, -11\/4, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279002856 to the nearest integer?\nAnswer: 16703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071637 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 35905.\nAnswer: 287240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -19*v + 40*v - 14*v + 3 - 11*v + v**2. What is o(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150608 and 451824.\nAnswer: 451824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 33914 = 77*o - 42062 for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*f**3 - 50*f**2 - 135*f - 10 = 0.\nAnswer: -2\/3, -1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/330)\/((-6)\/33)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26998*g + 147360*g + 23*g**3 - 2*g**2 - 26251*g - 25*g**3.\nAnswer: -2*g**3 - 2*g**2 + 148107*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/(-4)*(-16)\/6. Let u be (-7)\/(k\/16) + 2. Let z be 1 + (-1)\/u + (-6)\/(-4). Solve z*c - 4*c - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66563636.\nAnswer: 2, 17, 71, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b**4*b*(b\/b**(-2))\/(b*b**(-6)))**(-5) assuming b is positive.\nAnswer: b**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 142231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 - 0) + -2)*(-27)\/(-3). Let h(v) = -3*v - 24. Let x be h(a). Solve 2*p = 3 + x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11)\/(-1))\/((-2)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + 5 - 29) - 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25524 + -2105?\nAnswer: 23416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 8, -4*j = 2*z - 31 - 1. Suppose -7*d = -4*d - j. Suppose 5*m - 24 = d*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48315702 and 37092?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -946\/5 (b) -1 (c) 3 (d) -2 (e) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/8 (b) -0.06 (c) -1\/4 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.31, 1\/12, 0.5, 0.13123?\nAnswer: 0.13123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.34 + -16.34. What is the nearest to -1\/3 in -4, 1, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.555 + 0.055. Which is the nearest to -0.1? (a) s (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2 + sqrt(1872) + sqrt(52) - sqrt(52) - sqrt(52))\/sqrt(144).\nAnswer: -7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*i)**(-1\/6)\/(i**(-2\/5))**(-16) assuming i is positive.\nAnswer: i**(-389\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14560845?\nAnswer: 3, 5, 13, 89, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2603 - -2607. What is the nearest to 1 in o, -10, 28?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v**(-4\/7))\/v*v*(v**(-1\/4)\/v*v)\/v*(v*v*v*v**(-1))**44 assuming v is positive.\nAnswer: v**(2469\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k + 200 = 0. What is the greatest common factor of 280 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlrrrllrlrrl. What is prob of picking 2 l?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1664841591.346 - -0.3.\nAnswer: 1664841591.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(0 - 4\/5) + 135. Calculate the greatest common divisor of 56 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19, -372 in descending order.\nAnswer: 19, -4, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 1526976*d**4 + 4580946*d**3 - 4580952*d**2 + 1526985*d.\nAnswer: -3*d*(d - 1)**3*(d + 508995)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-30)*-3*(-30)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -62*d - 206. Is 4 a factor of t(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 11:55 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9 + 27 - 75*d + 8 - 325*d. Let m be o(-11). Suppose -3*g + m = -1421. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**10)\/n)\/(n*n**(1\/7)) assuming n is positive.\nAnswer: n**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 4:36 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 + -152. Which is smaller: 33 or y?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 22. What is the least common multiple of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 0 - (-1 - -2). Let k be (-36)\/10 + (-10)\/25. Let v = 2 + -2. Put z, k, v in descending order.\nAnswer: v, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*j = 56*j - 4. Let a(u) = -u + 1. Let i(y) = 1 - 7*y + 1 + 7*y**2 + 5. Let o(m) = -7*a(m) + i(m). Let f(q) = q**2. Determine j*o(g) + 5*f(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -86*g**2 - 252*g + 1535. Give f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -18 - 8) + 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6 - (-2 - (-1 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 11*c**2 + 3. Give x(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 6*q - 4*q + (933 - 933 - 221*q)*(-4 + 3 + 3) as k*q + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*v = -72, -2*a + v + 103 = -5*a. Let y = a + 35. What is the biggest value in y, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240 + -3118\/13. Let l = 0.0654 + -28.0654. Let s = l + 32. What is the closest to -1 in -0.3, o, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3 - 9. Let a(w) = -w**2 + 2*w + 7. Let i be a(t). Solve s - i*s = -m + 11, 4*s + 14 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + 0 + -1 + (-6*((2*sqrt(1900) - sqrt(1900)) + sqrt(1900)))**2.\nAnswer: 273594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 29*x**3 - x**2 - 2*x - 1. Determine g(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {o: 3, l: 1, g: 4, y: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 12 + 9)*((3*l - 4*l + 0*l)*(2 + 2 - 3) - 2*l + 0*l + 0*l) to the form u + g*l and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 2*m + (-4 + 5 - 2)*(2*m + 4*m - 4*m) - 5*m - 2*m + 15*m - 2 to b + f*m and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (705\/(-6))\/(-3 - 44\/(-16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2116*g**2 + 1 + 2655*g**2 - 1471*g**2)*(3 - 1 - 1 + (2 - 1 + 0)*(4 - 2 + 2)).\nAnswer: 16500*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12038594*i + 42653022 with respect to i.\nAnswer: -12038594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 2)*2\/(-4). Let z(u) = -u - 1. Let n be z(7). Let i = n + 12. Solve i = -2*k + 4*l, c*l = -2*k - l + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/127192 and -43\/63596?\nAnswer: 127192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17079.3 + -83?\nAnswer: -17162.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 55 + 15. Suppose h = 3*r - r. Suppose -2*n - r*t + 20 = 0, 0 = -t - 0*t + 4. Solve z - 6 = -n*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201445 is divided by 389.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -16440\nAnswer: -16440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 4 - 4)*(-611*c + 616*c - 1 + 7).\nAnswer: 5*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/(54\/(-6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.04806813.\nAnswer: 0.14420439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2265*k + 22633. What is c(-10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 7. Let n be m(-9). Let b = -14 + 58. Suppose -5*t + n = -b. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16829249 * -0.5.\nAnswer: -8414624.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r**2 + r - 1. Determine w(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -99*t - 182. Let r be s(-15). Let h = -656 + r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 0*q)*(6 - 1 + 0)*(-1 + 1 - q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from uuxxuueuiuuqui?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d2 (base 15) to base 13.\nAnswer: 3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-45)*105\/(-245)*-6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 3987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14512, -31426, -50742, -72454, -96556, -123042, -151906?\nAnswer: -183142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1104806893?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 55 + (12\/9 - (-12)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5272*v - 10673*v + 955*v to s*v + y and give s.\nAnswer: -4446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 15. Let s(v) = h*v + 191 + v - 2*v. Is s(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(7\/11) assuming t is positive.\nAnswer: t**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14984, 30271, 45838, 61679, 77788, 94159, 110786?\nAnswer: 127663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17124 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255400 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 93. Let z(o) = 3*o. Let c be z(-2). List the prime factors of s\/(-3) + ((-8)\/c)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 93*o - 950. Let a be t(-10). Suppose 372 = 2*x + 12. What is the first derivative of -x*u**3 + 13*u**4 - 24 + a*u**3 wrt u?\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.7 in 5, 4, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010242.\nAnswer: 2, 17, 43, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 23*m + 3. Determine j(9).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**5 - 735*z**4 - 10875*z**3 - 52165*z**2 - 54120*z + 117900 = 0.\nAnswer: -131, -6, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 5*y - 1. Suppose 114 = 7*s - 33. Let p be (-10 - 0) + -16 + s. Calculate z(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19 and -72110433.02?\nAnswer: 72110414.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((200\/50)\/((-2)\/3))\/(15\/2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.055 + -0.945. What is the closest to u in 1\/2, -0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044959 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -94431000 to the nearest 1000000.\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720 and 143856?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 230, 186, 136, 80, 18?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*(n**(-3\/7)\/n*n)\/n)*n)\/n**(2\/9)*(n\/((n*n**4)\/n)*n)\/n**(-2) assuming n is positive.\nAnswer: n**(202\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/7212306 and 85\/158706.\nAnswer: 64910754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = -10. Suppose 2 = c - t, 3*p = 5*c + 379. Suppose 4*z = 4*x - 760, -z + 528 - p = 2*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/290*(26\/6)\/(9 + 5918\/(-660)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -25 - 14 - (-1 + 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31900 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*l = 1050706 - 103106. Is -4599 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 248151082 + -647261082. What is x rounded to the nearest one million?\nAnswer: -399000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35274 divided by -2\nAnswer: -17637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094937683 a multiple of 1089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7536\/(-41))\/8 - -23. Which is the second smallest value? (a) 2 (b) -0.08 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 77775882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m. Let z(c) be the second derivative of 137*c**4\/6 + 3*c**2\/2 - 452*c - 4. Determine k(z(o)).\nAnswer: -822*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-792)\/(-15)*(-815)\/(-4564)*(3\/(-45) + 1).\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 16*k - 74. Give p(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1219, -5194, -11825, -21118, -33079, -47714?\nAnswer: -65029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132 + 4?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/30 + 8*q**2. Let a(g) = 21*g - 1. Determine a(n(t)).\nAnswer: -42*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/7 in 1\/10, -10, 3\/44?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3 + 1 + 3*f - 6*f**4 + 5*f**4 + 2*f**2 - 4. What is the units digit of i(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/66068663 and 32\/9.\nAnswer: 594617967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 3*h + 5. Let v(o) = -o**3 + o**2 - o + 1. Suppose 3*c + 2*c - 15 = 0. Determine c*v(x) - q(x).\nAnswer: -3*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:21 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 + 3*l - 6. Let j be x(3). Suppose 0 = p - j*t + 25, 149 + 18 = -5*p + t. Let m = p - -71. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79526.16ml in litres?\nAnswer: 79.52616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3208 + 6287. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 7:09 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j - 26 = -3*n, 0 = n - j + 2. Let i = -41 + 45. Solve -4*u - 2 = -22, 10 = -n*h + i*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 30*k + 295. Give v(21).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)*f**(-4)*f**0*f**(-3\/10) assuming f is positive.\nAnswer: f**(-153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 32*x**3 - 36*x**2 - 72*x = 0. What is x?\nAnswer: -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 3415*l - 6822. What is y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**5 - t**5 + t**5)*(64 - 60 - 1751).\nAnswer: -1747*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**3 + 4391*m - 14248.\nAnswer: -3*m**2 + 4391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 21\/105123814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**3 - 44204*y**2 + 125435980*y - 18171259812 = 0.\nAnswer: 153, 5449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5644513?\nAnswer: 7, 61, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -1. Let x(s) = -s**3 + 6*s**2 + 2*s - 14. Let l be x(6). Sort b, -5, l in increasing order.\nAnswer: -5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u**3 + 3*u**3 + 2*u**3 + 12*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -4 (c) -2\/19 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 551, -2, 403, 5 in decreasing order.\nAnswer: 551, 403, 13, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4 + 24, 5*b = 3*z - 28. Let i be 0 - (z - 4\/2). Let u be 4\/(-5) + 13 + (-8 - 4). Are u and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -70.0000155. What is r rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27641 is divided by 3013?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362554243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 3. Calculate the remainder when 10 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, -574, -5, 0.3, -0.07, -1\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y + 0*y - 2*y)*(0*y**3 + y**3 - 3*y**3)*(14 + 10 - 28 - y).\nAnswer: 10*y**5 + 40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*r - 2*k + 33, -5*r + 3*k + 1 = 0. Determine j so that -4\/11 - 6\/11*j**r - 10\/11*j + 2\/11*j**4 + 2\/11*j**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527430 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/7)\/n**(2\/19)*n**(-7)\/n**(-4\/9))\/((n**(-2))**31)**(8\/9) assuming n is positive.\nAnswer: n**(57311\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12928 + 13572. Calculate the least common multiple of j and 828.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37167, -297112, -1002591, -2376372, -4641223?\n\"Answer: -37128*x**3 + x**2 - 52*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikssississikksiks. Give prob of sequence iksi.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k - 11 = 4*r, k + 5 = -4*r. Let c(t) = 14*t**2 + t - 3. Is 17 a factor of c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -1, 2, 0, 7, 13 in ascending order.\nAnswer: -62, -1, 0, 2, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 181\/4, 15, 2\/9?\nAnswer: 181\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 140?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.81 + -1.81. Let b(l) = l + 5. Let g be b(-3). What is the closest to g in -2, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 265755532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -72*j**3 + 3*j**2 + 5*j - 5. Let o(g) = g**3 - g**2 - g + 1. Determine -f(l) - 5*o(l).\nAnswer: 67*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 519002 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184946 is divided by 97.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16610 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Solve 0 = x*n + 2 - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-154)\/(-33) + (-171)\/(-27) + -6. Sort -6, v, 2, -57 in decreasing order.\nAnswer: v, 2, -6, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 39*l**3 + 20*l - 20*l)*(-2 - 31 - 14).\nAnswer: 1833*l**3 - 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14941360 by 37.\nAnswer: 14941360\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 1 + 1)*(-3*g**2 - 4*g + 4*g)*(-g - g - 4*g).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**3 - 12*b**2 + 43. Is a(10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/36456480 and 77\/1879200?\nAnswer: 182282400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*n**3 + 143279*n + 9*n**2 - 143277*n - 9*n**2 - 149*n**3.\nAnswer: -99*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-20))\/((-117)\/(-1950))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -2\/21 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -2\/11, 3\/7, 5\/37 in descending order.\nAnswer: 3\/7, 5\/37, 2\/19, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 5.1. Let z = -0.006 + 0.506. Which is the biggest value? (a) z (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 34*g**3 - g + 2. Suppose 29*u - 3 = 26*u. Let b be z(u). Which is smaller: 34 or b?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2672 is divided by 676?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-10 - -18 - 17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 295 = 1. Calculate the highest common divisor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 26 = m. Suppose c + m = 3*x, 3*c = 3*x - 18 - 3. Suppose 5*j - x*j + 3*g - 9 = 0, g + 13 = 2*j. Calculate the remainder when 11 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182 - ((-89 - -41) + 163).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*d**2 - 374*d**2 - 55 + 55.\nAnswer: -571*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 17*i**2 + 56*i + 61. Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506729.5 litres to millilitres.\nAnswer: 506729500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 6*m - 3. Let i be n(-4). Suppose -4*o = -i*o + 8. Solve -o = 2*p + q, -p + 2 = -q - 0*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g - 79 - 129 + 63 + (-5*g + 2*g + 0*g)*(4 + 0 - 2) as y*g + w and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4920526.\nAnswer: 2, 13, 189251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 423?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79.5 - 77.5. Let r = 4 + -6. Which is the third biggest value? (a) r (b) p (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 6*m**2 + 6*m - 5. Let k be b(-7). Find the second derivative of -k*r**3 + 3*r + 0*r**3 - 8*r wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -168854a58 - 5?\nAnswer: -168854a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11013023 + 2220?\nAnswer: 11021303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmggmm. Give prob of picking 2 g and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 920 - 603. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 4*h + 3*h)*(2 - 2 + h**2)*(-h + 4*h + h).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9166*(-1)\/10)\/(6*(-2)\/(-660)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*d + 83. Suppose -8 = 2*j - d. Solve 3*t + 2*k - j = -0, 0 = 3*k - 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + i - 10, -r - 2*i + 9 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 23. Let z be g(-13). Let y be 4 - z*1521441*-1. Let l = y - 34835681. What is l rounded to the nearest one million?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 + 192*p + 2916. Determine q(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 1\/9, 8\/11, -20, -2\/11, -3, -13?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 13375 + 2625. Round r to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*j**3 - 164*j**3 - 27*j**3 + (-6*j + j + 4*j)*(0*j**2 + j**2 + j**2) + (-j + 4*j**2 + j)*(-2 + 3 + 0 + (0 - 4 + 2)*(2 + 0 - 1))*(-2*j + 4*j - 3*j).\nAnswer: -153*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.28 and -0.181?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/4*2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24418 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 6*b - 1 = -7*b, -11 = n - 5*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 36858*w**2 - 2589860*w.\nAnswer: 2*w*(w - 70)*(w + 18499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -25, -1 in descending order.\nAnswer: 1, -1, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12)*(-24)\/60. Sort 0, 1\/7, g in decreasing order.\nAnswer: 1\/7, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 1405.\nAnswer: 11\/1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(143) - (sqrt(143) - sqrt(143)*-5)*-2)\/(-5*sqrt(44)) + -5 + -3 + -5.\nAnswer: -12 - 13*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 506725.7 millimeters in nanometers?\nAnswer: 506725700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 13339985 = -3*r, -16*n - r = -21*n - 13339995. Round n to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*(-3)\/34*14\/24\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 48545*g + 48551*g - 4 + 2.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:34 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*n = 136*n. Solve 0 = -m + 2*m - 4*a - 11, n = 5*m - 2*a - 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 1. Does 10 divide (-184)\/a - (-6)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 + 29*y**3.\nAnswer: 29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29320 - -29324. Let y(t) be the first derivative of -8*t + 2\/3*t**3 - 1\/2*t**f + 20 + 4*t**2. What is x in y(x) = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s**(-2\/13)*s))\/s))**(3\/10)\/(s**(-2\/33)\/s*s)**(-4\/13) assuming s is positive.\nAnswer: s**(1148\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204351 = 175*t + 198051 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/15 + -2\/3. Let b = 320.09 - 320.18. What is the smallest value in x, b, -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 8*u + 9. Let y be b(7). Let r = 525\/11 + -2303\/66. Calculate the common denominator of r and (-185)\/210 + y\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z - 221. Determine m(39).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-1883)\/13) + (-34)\/(-221). Let c = i + -51. List the prime factors of c.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-10)\/(-2) + 14385 - -3*(-4)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83095650060011\/210 - -395696379136. Let s = w + -2807415. Let j = -58\/21 + s. Calculate the common denominator of j and 74\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 342, 518?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpp when three letters picked without replacement from {h: 10, f: 1, d: 1, p: 5}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazazaaaaaa. What is prob of sequence zaz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 285450 and 6165.\nAnswer: 117319950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 5*d - 20. Let z = d + 8. Let v(x) = 4*x. Let r be v(3). Solve -z*m - r = -0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81959112330 to the nearest 1000000.\nAnswer: 81959000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -142. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 0. Solve 5*y - 35 = 5*p, -3*y + 7*y = -p + v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1. Let b(q) = q + 3. Determine b(v) + 6*g(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4638 + 5574. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -19. Suppose f + 2*g - z = 2*f, 3*f - 4*g - 5 = 0. Calculate the smallest common multiple of 8 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -213, -866, -1955, -3486, -5465?\n\"Answer: -f**3 - 212*f**2 - 10*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2983700 is divided by 141?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 566, 58, 5, 2\/11, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.462 and 0.05?\nAnswer: -0.0731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 446 (base 11) to base 4\nAnswer: 20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -17693 in descending order.\nAnswer: 6, 4, -17693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/6 - 6\/(-9). Let x(j) = -222*j**3 - 2*j - 1. Is x(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + -0.02. Let d = p + 0.02. Let q = -0.11 - d. Which is bigger: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/10 and -35\/35734?\nAnswer: 178670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176916758?\nAnswer: 2, 37, 2390767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.9 + 7.06. Let b = z + -1.16. Which is smaller: 0.3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 15*m**2 + 4 + 0 + 2*m**2 - 5*m**2 - 4*m**2 + 415 - 415 + 17*m**2 + (2*m**2 + 0*m**2 + 0*m**2)*(-1 - 4 + 3) + 0*m + 0*m + m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3262)\/(-17) - 10\/(-85)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6.4, -0.3, -2\/33?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000230419153 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (-3 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 58, -1 in decreasing order.\nAnswer: 58, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 4. Let n be d(10). Let t be ((-12)\/(-18))\/(n\/(-9)). Which is the second biggest value? (a) -0.4 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -5*d**3\/3 + d**2\/2 + d. Let x be (-5 - -3) + 3 - 3. Is 7 a factor of i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998934*q + q**2 + 998934*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0728949 - -18333?\nAnswer: 18331.9271051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3672*y - 33136 = -3976*y for y.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18\/7 (b) -5 (c) 19\/2 (d) -0.2 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 91\/6821719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2061 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 11*x**2 - 11*x + 18. Let k be (-25)\/(-3) + (-80)\/(-48). Give v(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yemuueeiui. What is prob of picking 2 i?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 189110402808834 - 0.5\nAnswer: 189110402808833.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k**2 + 5*k + 4. Let y be (6\/20*20\/12)\/(1\/6). Determine z(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*l - 212 + 52 = 0, -2*w = -2*l + 160. Let h = -64 - w. Let c = -4 + 5. Solve 5*n + h - c = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603625, 603651, 603723, 603865, 604101, 604455?\nAnswer: 604951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**2*s)\/(s*s**3*s*s*s*s)*s**3\/((s*s*((s\/(s**(-2\/9)\/s)*s)\/s)\/s*s)\/s) assuming s is positive.\nAnswer: s**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 638.55867 - 611.5588. Let d = z - 27. What is d rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 2*c + 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54\/135683 + 11280820951\/1628196. Let o = h - 6938. Find the common denominator of o and -29\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100101101101110100100111?\nAnswer: 100101101101110100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 125775 divided by -36\nAnswer: -13975\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - g - 16 = 0, -16*g = -4*a - 13*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28533.\nAnswer: 3, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*h + 17 - 119*h - 112*h + 474*h - 116*h.\nAnswer: 6*h + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59546359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7482)\/(2 + -5) - -2. Let r = k + -1177. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 195 + -92. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3da22 (base 15) in base 12?\nAnswer: -96728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 137*y**2 + 134*y + 266. What is s(136)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -57, -229, -565, -1119, -1945?\nAnswer: -3097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3 + 218768*d - 4564737 wrt d?\nAnswer: 3*d**2 + 218768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 7*k + 35. Suppose -2*v = -c - 4*v + 104, -k*v + 210 = 2*c. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51649 and 1885.\nAnswer: 258245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 p when four letters picked without replacement from xkxkppxxvxkfxov.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11232\/96)\/(-585))\/((-2)\/15).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-24)*(j**(-2\/5))**(-23\/6)*((j*j\/((((j*(j*j*(j\/(j\/(j*j\/(j*j**(-1)\/j))*j))\/j)\/j*j)\/j)\/j)\/j))\/j*j**5)\/((j*j\/j**1)\/j)**7 assuming j is positive.\nAnswer: j**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4, 0 = 3*x - 2*x - 3*y - 30. Calculate the remainder when x is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960*g + 956*g + 43712 = -2*p, -p + 54619 = 5*g. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.67069m to micrometers.\nAnswer: 64670690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {p: 4, s: 1, e: 2, o: 1, j: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265269 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c - 1. Let p(k) = 6*k**3 - k**2 - 6*k - 3. Determine p(h) + 8*v(h).\nAnswer: -2*h**3 - h**2 + 2*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0.08, 1, 4\/9, -2, 2\/11?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f**2 - 2*f)*(-3 - 4*f + 3) + (6 + 0 - 2)*(83*f**3 + 15*f**3 - 5*f**3).\nAnswer: 384*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, 3, 5, -17387, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/(-24) + 8 - (-3)\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -21*f - 50. Let j(m) = 12*m + 25. Let u(g) = -5*j(g) - 3*v(g). Calculate the remainder when 81 is divided by u(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 811, -211, -0.3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(112) - ((sqrt(14) + sqrt(14)*1)\/sqrt(2))**2 - (sqrt(28)*-2 + sqrt(28)\/sqrt(4) + -2))*-4.\nAnswer: -28*sqrt(7) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 25, -9, 5, 2 in decreasing order.\nAnswer: 25, 5, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 12*w - 11*w + 20*w.\nAnswer: 21*w + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 634536.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 3)*(-2*c + 6*c - 3*c) + (0 - 1 + 2)*(-3*c + 5*c + 0*c) + 8*c + 4*c + 8*c + 2 - 2 - c to g*c + i and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(176) + -4 - (sqrt(11) + (sqrt(11) - -1*sqrt(1584)))).\nAnswer: -60*sqrt(11) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2692 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h*n**3*u**2 - 8*h*n**3*u - h + 4*n**3*u**2 + 4*n**2*u**2 - 162*n**2*u wrt n?\nAnswer: -30*h*u**2 - 48*h*u + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (6 + -1 - -2 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, n: 7, z: 4}. Give prob of sequence dd.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 45*u + 5*u)*(-4*u + 0*u + 3*u).\nAnswer: 37*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1173 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2227, -2366, -2627, -3070, -3755, -4742, -6091, -7862?\nAnswer: -10115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(48\/585)*(-16)\/1040*26.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.832 - -3.932. Sort l, 0.4, -3\/13, -1\/17 in decreasing order.\nAnswer: 0.4, l, -1\/17, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1632 and 43\/65697792.\nAnswer: 65697792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 4 + 4)*(-334*f**3 + 360*f**3 - 3*f**2 - 3 + 0*f**2).\nAnswer: -52*f**5 + 6*f**4 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -338, -759, -1348?\nAnswer: -2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)\/a*a**(-1\/5))**(-15\/8)\/(((a*a**4)\/(a*a*a**0*a))\/(((a*a**5)\/a*a)\/a**(-2\/3))) assuming a is positive.\nAnswer: a**(181\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + m**2 - m - 9. Suppose -25*w + 7*w = 2*w. Determine d(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 less than 4058.0239?\nAnswer: 4058.0229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5603 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - a - 29. Let w be (-4)\/1 - (-1)\/2*20. What is the units digit of b(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) -2\/13 (c) 4 (d) 1.4305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = -5*p + 253. Suppose 16*q + 41*q**3 - 39*q**3 - 22*q - p = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, 2, -0.0177, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 1. Let g(f) = 7*f**3 + 2*f**2 + f. Let b be g(-1). Suppose 13*p + 1037 = 1362. What is the smallest common multiple of t(b) and p?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94876?\nAnswer: 2, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 9 = -4*v, -v + 3*j = -6*v + 21 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, -0.5, 4\/5 in descending order.\nAnswer: 19, 1, 4\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oum when three letters picked without replacement from {o: 1, u: 2, z: 1, k: 1, m: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11635*c - 278977. Give u(-24).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -830*k**2. Let c(i) be the first derivative of 2*i**3\/3 - 381. What is c(d(f))?\nAnswer: 1377800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2418 = -f. Let j be f\/(-10) + ((-8)\/10)\/(-2). Let x = -51 + j. Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, -0.4, -121?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1148967 + 1.36?\nAnswer: -1148965.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 11. Let j = 6 - x. Let z(r) = r**3 - r**2 + 11. Let q be z(0). Calculate the highest common factor of q and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:45 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*a + 11, -5*t + 3*t + 26 = -5*a. Factor 0*w + 0 + 2\/7*w**t - 2\/7*w**4 + 0*w**2.\nAnswer: -2*w**3*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 906 + -826. What is the lowest common multiple of 52 and r?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 89622.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119246348, -119246344, -119246340, -119246336?\nAnswer: -119246332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 196579767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 2*x**3\/3 + 197*x**2. Let k(q) = -q + 11. Suppose 3*t + t = -44. Calculate t*w(o) + 4*k(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75621 and 7756?\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42255\/238 or 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -159, -250?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -25*p - 92. Determine v(-13).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - (-172)\/30)*(2 - -1). Let g be (0 + 2\/(-20))*2. Let l = -1\/12 + 7\/12. Which is the nearest to l? (a) 0.5 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41536063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29333 rounded to the nearest one hundred?\nAnswer: 29300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 43, 90, 153?\n\"Answer: 8*v**2 + 7*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 195 - 4*y**4 + 0*y + 0*y**3 - 51\/2*y**2. Let g(w) = -3*w**3 - 10*w. Determine 11*g(c) - 2*u(c).\nAnswer: -c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4 - 4*f - 4*f + f. Let w(v) = -v**3 + 39*v**2 + 161*v + 473. Let l be w(43). Let o be i(l). Solve 5*a + 20 = 0, 5*a = 8*y - o*y - 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1109\/20 - -58. Find the common denominator of b and 3\/(-4) - 2373\/588.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -1, 1801 in increasing order.\nAnswer: -1, 60, 1801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*r - w, -3*r = -3*w + 5*w + 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -22*u - 11. Is i(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2 + 12*s + s)*(-13*s - 11*s - 7*s).\nAnswer: -403*s**2 - 62*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 21562684.\nAnswer: -43\/21562684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 240\/128*6\/(-9)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**4 + 244*j**3 + 3784*j**2 + 6624*j = 0.\nAnswer: -36, -23, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)*g)**(-30\/7)*g*g**(16\/3)*g*g*g**(-13\/5) assuming g is positive.\nAnswer: g**(377\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 6*l - 4. Let d be u(1). Suppose 4*t = 0, 742 = 5*h - d*h + 3*t. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 2*v**2 + 3*v - 1. What is l(5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43560 by -8712.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Suppose 0*s - 4*x - 39 = -s, 5*s + 5*x = 70. What is the remainder when s is divided by 9 + 2 + q\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16*52\/(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -42. Let c = -5 - -5.5. What is the second biggest value in -5, c, -24, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -65*x**2. Let b(g) be the second derivative of -4*g**3\/3 + 3*g - 13. Give j(b(k)).\nAnswer: -4160*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000011101100001 (base 2) in base 7?\nAnswer: -400401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-1)\/2). Suppose 0 = 6*c - 4*c - 56. Let x(q) = -18*q**2 - 19*q + 1. Let n be x(-1). Solve c = -n*i - z*i + 2*s, -2*i - s = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {y: 1, h: 2, p: 2, r: 5, k: 3, t: 6}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*90\/40*8\/(-21)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -62. Let f(g) = -g**4 - g**2 + 1. Let j(a) = 21*a**4 - 4*a**2 + 8*a + 4. Let v(k) = d*f(k) - j(k). What is the second derivative of v(l) wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:15 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.69 - -0.994. Let h = 0.021 + r. What is h rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y - b - 763 = 0, -4*b - 760 = -4*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - ((-400)\/(-60) - 1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.03.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(16\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 122 = 4*u - 2*s, -2*u + 9*s = 3415 - 3422 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 10246d5?\nAnswer: 10246d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 1577 + 1387 - 3379 + 949.\nAnswer: -2*p**2 + 534","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3957? (a) 3 (b) -0.03 (c) -9 (d) -4 (e) -0.5 (f) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -129*u + 295. Calculate the remainder when 809 is divided by p(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190 a factor of 651050474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314 + 1249\/4. Is -3 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321860971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000221606 rounded to seven decimal places?\nAnswer: 0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 6*p = -n - 3, -5*n + 5 = -5*p. Let l(u) be the second derivative of u**4\/6 - u**3\/6 - u**2\/2 - u. Determine l(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2954, -11815, -26604, -47339, -74038, -106719, -145400?\n\"Answer: -3*i**3 - 2946*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -279, 5, 4.\nAnswer: -279, -89, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*p**2 - 185*p**2 - 149*p**2 + 19*p**2)*(0*p - 3*p - 3*p).\nAnswer: 2514*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 3*y + y)*(0 - 2 + 1) - 13*y - 37 + 37 - 2*y - y + 4*y as x*y + i and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183723710 a multiple of 5317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from gykkkggzggkgy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 2*n - 398*n**2 - 11*n.\nAnswer: -398*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + o + 12, 3*j + 2*j - 3*o = 15. Suppose y - 2 = j*y. Let i be y\/4 + 1\/4. Solve -3*a + 2*a = i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.035475 - 0.08\nAnswer: -0.115475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose y*p = 5*p - 2. Sort p, -3\/5, -1 in ascending order.\nAnswer: -1, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 3 = 14*m. Let k be (m - 1 - 1)*6. Let t(c) = -c - 4. What is t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 16, -17, 4, -7 in decreasing order.\nAnswer: 16, 7, 4, 3, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -19.87. Let k = i - -0.13242. What is k rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -13. What is the common denominator of f and ((-3)\/2*-1)\/(72630\/(-44654))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 8 + 0 + 5 - 8*y to u*y + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -3 + 1 + sqrt(539)*6 + -5.\nAnswer: -7 + 43*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1181880614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 854 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l + 3 + 2 - 7. Let w(y) be the first derivative of -3*y**2\/2 - y - 3. Let u(c) = -5*w(c) + 2*z(c). Calculate u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-8) + (-2109)\/(-4). Suppose g + f = 2*g - c, -c = 0. Suppose g = 3*m + m. Calculate the highest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5565 - 5635. Sort 0, -2, -5, w, 3 in descending order.\nAnswer: 3, 0, -2, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2161 + -1369. What is the smallest common multiple of 4 and a?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (1 + -19 - (-403 - -387)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -373, -834, -1469, -2272, -3237, -4358?\nAnswer: -5629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26830, -52636, -78444, -104254, -130066, -155880, -181696?\nAnswer: -207514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 110755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 = -9. Suppose -17 = -w*g + 5*c + 21, -5*g - 2*c + 84 = 0. Suppose -5*l - 8107 = -g*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 40 = -5*y, -1887*y - 3*k = 1879*y - 3759*y - 30 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -116*o**2 - 7653*o + 225. Calculate k(-66).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(55)\/sqrt(5)*-2) + 4 + sqrt(539)*-1)*-5.\nAnswer: -20 + 75*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(54\/20)*6\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**6 + 895*k**5 - 2*k**4 + 62*k**2 - 2*k wrt k.\nAnswer: 360*k**3 + 53700*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.42*3.7.\nAnswer: 53.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115774674*v - 64601901 wrt v.\nAnswer: -115774674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*12\/(-16)*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h + 7. Let z be l(-1). Is -3 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4\/((v\/((v\/(v*v**(-3)))\/v))\/v*v*v))\/((v**(2\/9)*v)\/(v*v\/((v*((v*v**(-3\/4))\/v)\/v)\/v))))**(-1\/79) assuming v is positive.\nAnswer: v**(-235\/2844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 7. Suppose -6*f - s = -36. Which is the nearest to 1? (a) 1\/6 (b) f (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -688, -767, -886, -1045?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 72\/11 + 24\/11*v + 2\/11*v**2 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 26. Let n be q(-10). Let s be (-10)\/35 + 140303\/n. Let y = 2510 - s. Find the common denominator of y and -37\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -2. Suppose -2*f - 10 = 3*u, f + 0 = -5. Suppose g - 5 + 0 = u. What is the third biggest value in g, d, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -10*h**5 - 81*h**2\/2 + 85. Find the second derivative of d(b) wrt b.\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p + 4*p + 8 + 6*p - 6. Suppose -18 = -2*v - 2*t + 4*t, 5*v - 3*t = 37. Calculate o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 5*y - s, 2*y + y + 5*s = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/10)\/(-1*2). Let j = 50275 + -50274.9. What is the closest to j in -38, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -677, -1015?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 20*r**2 + 68*r - 12. What is the least common multiple of 9 and v(9)?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {g: 3, e: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2894411?\nAnswer: 13, 222647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -39, 0.04, -110.555?\nAnswer: -110.555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 5*o**2 + 11*o - 22. Determine y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2324, 1951, 1578?\nAnswer: 1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48683 + -342535\/7. Let g = 251 + a. What is the closest to 0 in g, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 103073.53 * 11\nAnswer: 1133808.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(80))*3.\nAnswer: 9 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -8382001?\nAnswer: 1\/8382001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*d**3 - 19*d**3 - 3*d + 84*d**3 - 2*d as s*d**3 + j*d**2 + z + p*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 + 38*m**3 - 13*m**3 - 209.\nAnswer: 25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 12) in base 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -27*b + 27, -43*b = -4*a - 85*b + 43*b - 36 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3968 and 298112.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8409500 divided by -5?\nAnswer: 1681900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 404 - 227. Let q = 182 - i. Let o = -5 + 8. Sort -5, o, q, -0.3 in ascending order.\nAnswer: -5, -0.3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 823 - 850 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.251 (b) -4 (c) 3\/5 (d) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 39. Let s be (-60)\/(-14)*4\/(-84). Let g = -66\/49 - s. What is the second smallest value in p, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -105\/32, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-114)\/105 - (11 + (-59)\/5). What is the second smallest value in 0, -0.17, i, -2\/19, 2\/13?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311, 643, 1007, 1397, 1807, 2231, 2663?\nAnswer: 3097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 183*i + 36. Let r(m) = 2. What is 18*r(o) - v(o)?\nAnswer: -183*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffo when four letters picked without replacement from {f: 6, o: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -190, 1\/2, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Suppose -2*o + 11 = 1, -p*b + 18 = 2*o. Find the second derivative of -b*g - 5*g**2 + 2*g - g - 4*g wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14169*r**2 + 13998*r**2 - 27963*r**2)*(0*r + 0*r - r).\nAnswer: -204*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 0 + 0)*(0 - 4 + 2) - 6*c + 0*c + 1 + c - c + 5*c + c + 6 in the form g*c + x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (0 - -10) + -116 - -13.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 193738 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: Solve 2*g = p - 3, 2*g - 2*p + 5 = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-414)\/(-115))\/(-18)*-1*-15*5\/35\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**3 - 3*h**2 - 2*h. Let n be i(-2). Let g = n + 107. Suppose -g = -4*o + f + 5, 52 = 4*o - 2*f. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211460 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/12*(-8)\/46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 3 + i - i. Let g be v(-6). Suppose -2*u + g - 3 = 0. Sort 1, u, 0 in increasing order.\nAnswer: 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.12 + -1.02. Suppose -6*q = -q. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = 5*f, 42 - 14 = -s - 4*f. Let y be -24*8\/s + -2. Let o = y + -13. Solve 0*a - o = a - 2*g, a = 4*g - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 1:24 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 4. Let u be b(0). Suppose -u*l = -3*l + 80. What are the prime factors of ((-21)\/(-14))\/((-6)\/l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.0749ml to litres.\nAnswer: 0.0620749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -28*x**2 + 278*x + 551. Give m(-2).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.61 * -0.11245.\nAnswer: -0.0685945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*6\/(-9) - 6\/(-2). Let d be (4 + 0 + -14)*(-2)\/t. Let x = -190 + 190. Sort x, -3, d, 6 in ascending order.\nAnswer: -3, x, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1950*k**3 + 10*k**2 - k - 5. Let s(q) = -974*q**3 + 6*q**2 - q - 3. Give -5*s(h) + 3*w(h).\nAnswer: -980*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1550065067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {t: 2, i: 3, w: 1, d: 1, r: 1, y: 10}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29771.8847 + -29772. What is s rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 2. Let o be j(3). Let d = o - -5. Let y(s) = 7*s**3 - 1. List the prime factors of y(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3 + 48126*m**2 + 3*m + 936 wrt m?\nAnswer: -6*m + 96252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 5*y**2 + 0*y**2. Let a(v) = -10*v**2 + 11*v. Let x(q) = 2*q**2 - 2*q. Let c(b) = -2*a(b) - 11*x(b). Calculate c(o(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106052 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3877*n + 23267. Let c be s(-6). Suppose -3*l = -5 - 139. Let z be (-3 + 2)\/((-2)\/l). Solve h - 9 = 3*h - g, -c*h - z = -3*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:28 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 9. Let y be n(-5). Let c be ((-3)\/y)\/(3\/(-12)). Suppose -c*b + 21 = 3. Solve -5*r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(816*w - 782*w + 299*w**3 - 304*w**3).\nAnswer: 5*w**3 - 34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -38*d + 5. Let l(n) = -2*n**2 + 3808*n - 1903*n - 1905*n. Determine l(b(m)).\nAnswer: -2888*m**2 + 760*m - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160771310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - c**2 + 9*c + 16. Let k be i(13). Suppose -3887 = 5*o - 3*l - 14761, 4*l + k = 2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 g when four letters picked without replacement from {g: 4, n: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22143 + 142202?\nAnswer: 214400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -17*o - 97. Let h(i) = 137*i + 953. Let j be h(-7). Give s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/217 and -91\/992.\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 17841147?\nAnswer: 231934911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 21*d - 85 = -m, 0 = 5*d - 4*m - 110 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 28.92. Let k = c + -0.1. Let s = 0.002 + k. Round s to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from tftdfdtdtd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1657808.\nAnswer: 2, 103613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/4 (b) -2\/17 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 + -267. Suppose 51 - h = s. Which is the biggest value? (a) 0.09 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53707770*r**3 + 58421*r**2 - r + 1?\nAnswer: 322246620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -1, -39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714354559.\nAnswer: 714354559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Solve d = -5*y + 3*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -20*m + 7. Let v(z) = -19*z + 8. Let w(p) = -7*c(p) + 6*v(p). Let f be w(3). Let s = 17 + -10. What is the greatest common factor of s and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 25, -0.029, -13, 2\/9 in decreasing order.\nAnswer: 25, 4, 2\/9, -0.029, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1490 + 4361. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 480*y. Let o(c) = 1207*c + 7. Give o(z(v)).\nAnswer: 579360*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 25 = -2*y. Let a(b) be the first derivative of 11*b**3\/3 - 5*b**2\/2 + 3*b + 5879. What is the units digit of a(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 78 = 4. Let o = u + -29. Suppose -7 = -4*y + 3*y. What is the remainder when o is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 704 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1562588, 3125363, 4688136, 6250907?\n\"Answer: -r**2 + 1562778*r - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.24 + 0.06. Let x(i) = -i**3 + 12*i**2 - 11*i - 5. Let d be x(11). Let h be ((-2562)\/(-476) - (-2)\/17) + d. What is the nearest to h in -0.3, 2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i - 5. Let y be r(-2). List the prime factors of (y - -1)*11\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3155\/11 + -287. Put h, -0.5, 5\/2 in ascending order.\nAnswer: -0.5, h, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 1569*u - 127866.\nAnswer: -3*(u - 422)*(u - 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 114293071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/15 - q**4\/3 - 23*q**2 + 2*q. Factor r(p).\nAnswer: 4*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 244850?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79542 divided by -6?\nAnswer: 13257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610669 is divided by 43602?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = -5*w, -5 = 5*w - 3*k + 6*k. Let f(h) = h - 5. Let j be f(8). Is 9 a factor of (-107)\/w - (-3)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*g + 354*g = 36. Find the common denominator of (5 + g)*97\/28 and 115\/18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 25*w**2 + 183*w + 729. What is the remainder when h(-4) is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -25 (b) 0.2 (c) 2 (d) 80 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 48 = -29. Suppose -n*c + 50 = -c. Suppose 0 = -c*y + 32 - 2. Solve -v - y = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095 and 199655.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 6*n**2 - 5*n + 12. Let m be k(-7). Let a(w) = -28*w**3 - 3*w**2 + 1. Is a(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 8*m**2 + 6*m + 2. Let f be d(5). List the prime factors of 4 - 2 - (2\/1 + f).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 82, 281, 682, 1351?\nAnswer: 2354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*j + 6, -4*n = -5*j - 3*n - 6. Let u be 0\/(-2) + 15\/(-1). Is (-2)\/(j\/u*-1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -153 and -0.3.\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 - -0.19. Let r = 153\/205 + -6\/41. What is the nearest to i in r, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -414\/35 + 15307\/1155. Let v = 10\/3523 + 172027\/211380. What is the common denominator of s and v?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -1. Suppose s*a - 4*a + 3*z = 5, 0 = -2*a - 5*z + 10. Suppose 3*b - 4*j = 23, 0 = 5*b + 3*j - 6*j - 31. Solve a*n + 3 = -7, l - b*n = 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4171*l - 66794. Calculate d(-16).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32320681, 32320683, 32320685, 32320687, 32320689, 32320691?\nAnswer: 32320693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1079 - 47.1079. Let s = 1.7458 + 45.2502. Let i = y + s. What is i rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - j - 3)*(3 + 1 - 3) + (j + 1 - 1)*(0 + 2 + 7).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 163 - 72 = 0. Suppose h = 4*l - 1. Let m be 6*(-1 + l\/9). Solve -4*o + m = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -141, -201, -255, -303, -345?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, c: 2, z: 2}. Give prob of sequence czzm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -55717*f - 724243. Give x(-13).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, y: 1, i: 2, p: 1, h: 2}. What is prob of sequence vy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 39 = 3*y, 0 = -3*y + 3*g + 2097675 - 2097702 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 429716 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 8\/2 - (-4 + 1). Suppose -2*l = -3*k + 70 + 17, 2*k + w*l = 58. Calculate the remainder when 463 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -0.68. Let j = -5.12 - v. What is the smallest value in 5, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 146*k**2 - 2*k - 1. Let o(n) = -583*n**2 + 9*n + 5. Let i(g) = 2*o(g) + 9*x(g). Is i(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*h + 3*q + 9, 0 = -5*h - 4*q - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-100)\/3)\/((-9)\/((-81)\/(-6))). What is the highest common factor of g and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-3)\/6 + 1. Let h be (j + -2)\/(1\/(-2)). Let u(i) = -i**3 + 2*i**2 - i - 4. Let a be u(-3). Calculate the greatest common divisor of a and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1926, 3851, 5776, 7701, 9626?\nAnswer: 11551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (120\/(-25))\/8*-5. Suppose 5*n + 22 = -o*a, a - n - 3 = 3*a. Solve -u + a = v, -1 = 2*u + 4*v + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 4, e: 1, x: 5, t: 1, b: 1}. Give prob of sequence ez.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76158?\nAnswer: 2, 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -5, -4 in increasing order.\nAnswer: -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-96) + ((-1)\/4 - 1). Let h(z) = -z - 9. Let c be h(-13). Sort m, -6, c.\nAnswer: -6, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635714 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 283346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) -2\/15 (b) -6 (c) 1\/168 (d) 37 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 - 3*p**4 + 2*p**3 + (p**4 - 2*p**4 + 5*p**4)*(-3 - 1 + 1)*(3 + 2 - 4).\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.04 * 5\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4690*h + 13753 = 5499*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83980 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -701*h. Let s(i) be the first derivative of -4*i**3\/3 - 1216. What is s(m(f))?\nAnswer: -1965604*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -l + 7*l. Let a = l - -10. Let s = 2\/159 + -646\/795. What is the biggest value in 1\/5, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.25? (a) -4 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3514, -214, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) -0.751 (c) 2 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1188936 and 131\/10110?\nAnswer: 5944680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8888949t?\nAnswer: 888.8949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 826 - 825.97708. What is u rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2 - l. Let a be n(2). Let b = -3 + 0. Does 11 divide (5 + b)*a\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + 3 + 0 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3575104 and 1904?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16348 to the nearest 100.\nAnswer: -16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5*(595\/10 - -3). Suppose v*u - 86 - 39 = 0. Calculate the remainder when u is divided by (-4)\/(-10) + 36\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 11000?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389262196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + 3. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 6. Let b be (0 - (-4)\/d)*-3. Suppose g = -0*g + b. Solve 0 = -g*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74893902 divided by 2\nAnswer: 37446951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6. Let y = 4 + x. Solve 3*j + j - 9 = y*o, -5*j + 5*o + 5 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 1:59 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 2*n - 12. Let t(o) = -2*o**2 - 3*o - 16. Let s(v) = -2*t(v) + 3*y(v). Give s(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19 + -1 + 1)\/(-1). Let j = c + -25. What are the prime factors of (39\/2)\/(j\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(975))\/sqrt(3) + 3*((sqrt(39)*-1)\/sqrt(3))**2 + 4.\nAnswer: 10*sqrt(13) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5, 62?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 - 15*j + 12. Let p be o(7). Suppose 5*l = p, -5*k = l - 36 - 245. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 2*t - 11. Let y be s(5). Let v(b) = -4*b - 9. Let q(i) = -i - 1. Let l(h) = 5*q(h) - v(h). Give l(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/5 - 42*v**3\/5 + 403*v**2\/5 + 8508*v\/5 + 28764\/5 = 0.\nAnswer: -47, -6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/5 - 11\/10. Let i(t) = -t**3 - 4*t**2 + 8*t - 20. Let l be i(-6). Which is the biggest value? (a) 1 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(-3\/4)*a)*a)\/a)\/a)**(-19)\/((a*a\/(a\/(a\/a**1))*a)\/(a*a*a**(-10)\/a*a)) assuming a is positive.\nAnswer: a**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.5605 litres in millilitres?\nAnswer: 512560.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2167*r**3 - 10*r**2 + 6*r - 3. Is q(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40609\/295 > -138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and 3.9?\nAnswer: 6.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.69 - 259.\nAnswer: -259.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 324862.1 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5446210 divided by 495110.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**2\/5 - 12342*z\/5 - 12693747\/5 = 0. What is z?\nAnswer: -2057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + n + 3*n)*(2*n**3 + 2*n**3 - 6*n**3 + (2*n**2 - 2*n**2 - 2*n**2)*(61*n + 52*n - 110*n + 340)).\nAnswer: 8*n**4 + 680*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 935*a**4 - 468*a**4 - 466*a**4 - 204*a**3 - 183 - 49*a**2 + 49*a**2 - 2*a wrt a.\nAnswer: 4*a**3 - 612*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, -39171 in descending order.\nAnswer: 3, 2, -4, -39171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12)*3) + (-2*sqrt(1088))**2 - ((sqrt(153) + 0 + 4 + sqrt(153) - sqrt(153))**2 - sqrt(153) - sqrt(153))*-4.\nAnswer: 217*sqrt(17)\/3 + 5028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-10))\/((-36)\/(-24)). Let w = -25 + 21. Which is the nearest to 1? (a) -5\/4 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 16. Let n be d(-14). Suppose -6*o + 4*o - 2*q + 20 = 0, -22 = -o + n*q. Let l = o - 11. Solve -a = l*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**5 - 2986*w**4 + 17796*w**3 + 71824*w**2 - 666944*w + 1142016 = 0.\nAnswer: -6, 4, 1487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2)*(-4*o**2 + 2*o**2 + o**2) + 9*o**2 + 2*o - 2*o + 2*o**2 - 12*o**2 + 2*o**2 to the form r*o + s + x*o**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12749 - -7866. Is -4884 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = j - 3*j. Let n be j\/(4\/136*2). Let g = -17 - -34. Solve 0 = -5*z + 2*b + g, -3*z + n = 3*b - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 6*z**2 + 2*z - 8. Suppose 0*r + 2*r = 0. Suppose 0 = -r*a - a + 6. Let g be m(a). Solve -27 = -3*o - g*w, 0 = -4*o - 2*w + 5*w + 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 a factor of 8908421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -6*q + 434. Let v = 191 - q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-2)*(-4)\/3. Suppose w = -i + 15. Let h be 6\/(-12)*(-2)\/i. Sort -0.6, 4, h.\nAnswer: -0.6, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25752 (base 8) to base 7\nAnswer: 44530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/1785*-21 - (-1 - 7\/5). Sort 11, 23, v in decreasing order.\nAnswer: 23, 11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*z = 4*z - 108, -3*z - 44 = -2*t. Calculate the lowest common multiple of t and 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(12\/(1 - 5) - (-792)\/256). Solve -22*g + l = -68 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)*k)**(-39)\/((k\/k**(2\/5))\/k**1) assuming k is positive.\nAnswer: k**(-967\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2066, -4122, -6188, -8270, -10374?\nAnswer: -12506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26783 is divided by 6637?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 at most as big as -189\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -6 + -2 + -2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/7)*k*((k**(4\/9)\/k)\/k)\/k*k**(-1\/3)\/(k*k*k\/(k*k**(-1\/11))*k) assuming k is positive.\nAnswer: k**(-3748\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*t + 53 + 52, 3*t = 9. Is (z\/20)\/(6\/(-3585)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -230979 greater than -230889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -10099a24?\nAnswer: 10099a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -363417.\nAnswer: 145366.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -2\/9, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1295 - 709 = -6*b. Suppose b + 777 = 11*h. List the prime factors of h.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -11111110001101010111?\nAnswer: -11111110001101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813708782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -23. Let y be (32\/7 - 5) + 94\/7. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0*r + 0*r**4 + 2\/735*r**7 + 0*r**3 + 1\/105*r**6 + 0*r**5 + 127*r**2 + 0. Factor x(m).\nAnswer: 4*m**3*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 380\/(-25)*1*(-10)\/4. What is the greatest common divisor of j and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*q**3 + 22*q + 191 wrt q?\nAnswer: -15*q**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. Let g = -0.01 + -0.29. Let k = 32 - 127\/4. Which is the closest to k? (a) g (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11292*w + 699918 = 1029*w - 162174 for w.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 2*l - 48, 0 = 5*l - a - 116. What is the greatest common divisor of 10 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 65\/25 + -3 + (-36)\/(-15). What is the third derivative of -12*f**4 - 3*f**4 - 4*f**4 + 39*f**4 + s*f**2 - 6*f wrt f?\nAnswer: 480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2) + 690\/3. Suppose -7 = -g + 34. Suppose 5*k = -r + g, 5*r - 3*k - y = -4*k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -114*k - 1404 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 52.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 5)*(-y - y + 4*y) - 423*y - 26*y - 173*y)*(-1 + 0 + 2).\nAnswer: -620*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*(6*1*(sqrt(1300) + sqrt(1300) + -4 + sqrt(1300) - (sqrt(637) + -4)))**2*-4.\nAnswer: 5941728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 - 116. Let q = 150 - z. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 213 = -26*c - 465 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 5193496.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 21*t - 2*v = -231, 5*t - v = -228. What are the prime factors of 33*12 - (t - -45)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 4. Let m be v(12). Let d be -4*(-5)\/m - -3. Suppose 2*i + d*c = -0*i - 10, -i + 11 = -2*c. Solve 0 = -z + 4*w - 17, z + i*w = -2*w + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -32597843.\nAnswer: -16298921.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -0.38 (c) 4 (d) 108 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14485080 and 1710.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 10, -2\/7, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1211458707 to the nearest integer?\nAnswer: 34806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8822, 17641, 26460, 35279, 44098, 52917?\n\"Answer: 8819*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -9 (c) 1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (-29 - 11) + -37.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3 + 183 - 183 + 4*a + 4*a**2 - a**4 - 3*a**3 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417*7.\nAnswer: 2919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2830108.\nAnswer: 2, 707527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/8 + -3 + 33\/(-60). Sort -2\/15, 5, t, -0.4.\nAnswer: -0.4, -2\/15, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4 - 1 - (-27)\/(-9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 12*p**3 + 15 - 7 + 2*p**3 + 4 as c*p**2 + t*p + u + x*p**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*i - 3, -10 + 5 = -5*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 61\/4 + (-4)\/16. Suppose -2*p - 3*s + 8*s + 57 = 0, -3*s = d. Suppose -4*u + 856 = -b - 2*b, 4*b = -p. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -22, -45, -66, -85?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: d833 (base 14) to base 8\nAnswer: 110645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -690.0432 to zero decimal places.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3240 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-9)\/(9\/(-8))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let f = 158 + -102. Suppose f = 3*k + 3*b - 4*b, -b = k - 16. Solve 0 = 4*m - x*r - k, -3*m - r - 15 = -7*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/4 - 325*l**2\/2 - 2218*l + 5088 = 0.\nAnswer: -636, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 12:59 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + a)*(0*a - 5*a - a) - a**2 - 3*a + 3*a + 22*a**2 + 20*a**2 - 58*a**2.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22\/(-10) + 3)\/((-2)\/(-5)). Let n be 3\/(-6) + (-62)\/(-28). Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 8*t + 0*t + (2 - 1 + 0)*(2 + 2*t - 2))*(-2*t**2 + 4*t**2 - 4*t**2).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/2)\/15*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13230202203 (base 4) in base 12?\nAnswer: -813603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -59648.\nAnswer: 357888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 10191*r + 3494610.\nAnswer: 3*(r - 3010)*(r - 387)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, -21, -6, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -169 + 44. What is the highest common divisor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3148 divide 176560460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*s - 19, -4*s - 4*w = 5 + 11. Let d be (4 - 12\/3) + 3. Let z = 45 - 31. Put d, z, s in decreasing order.\nAnswer: z, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/7382?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97021 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 159839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 4*o - 4. Let s = -6 + -2. Let f = -7 - s. What is the remainder when f is divided by j(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 4 (b) -0.4 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/72*-29 + 0 - 57\/684.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a - 26 = -64*a + j, 6*j = 3*a - 111 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116005235*j**3 + 45931819*j**2.\nAnswer: 696031410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = r + 15. Suppose 0 = -3*x - 15, 4*o + 3*x = 4*x + 89. What is the remainder when (r\/12)\/(7\/(-308)) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*l**5 - 16\/3*l - 4*l**2 + 0 + 4*l**4 + 20\/3*l**3 = 0. Calculate l.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -18*l**4 - 28*l - 37. Let k(j) = 13*j**3 + 5. What is -28*k(s) - 5*m(s)?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1300 (base 5) to base 8\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1341312?\nAnswer: 1341310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(-3 + sqrt(468)) + 5)*2.\nAnswer: -48*sqrt(13) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 + 327*o**4 - 1713*o**3 - 291*o**2 + 5850*o + 4104 = 0?\nAnswer: -114, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12650, -25838, -61634, -131342, -246266, -417710, -656978?\n\"Answer: -1884*p**3 - 10766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Suppose -2 = 2*n, -2*g + y*n = -g - 7. Suppose g*b - 10 = 8*b. Is b >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/45)\/((-2)\/9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -3. Suppose -3 = n*t - 293. Suppose -j = a + j - 6, -3*a + 4*j + t = 0. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, g: 7, d: 2}. What is prob of sequence wdg?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqa when three letters picked without replacement from {q: 3, m: 1, a: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:09 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6)*12\/9. Suppose -2 = -q*a + 8. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-2 - -6) + -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.8 and 5.440648.\nAnswer: 4.640648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 673.9471 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -33 - (12 + -10 - -9) - 15?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*g - 478 - 1457. Let m(l) = -11*l - 6. Suppose -9 = 2*c - 1. Let f be m(c). Solve 3*q - 2*o - g = 0, 5*q - 2*o + 17 = f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - d**2 + (1 + 3 - 3)*(-2*d**2 + 0*d + 0*d) + 8*d**2 - 13*d**2 + 37*d**2 + 5*d + 11*d**2 - 32*d**2 - 5*d.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 3*c**7\/14 + c**5\/20 - 7*c**3\/6 - 2*c**2 - 3*c. What is the third derivative of f(r) wrt r?\nAnswer: 1080*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)*a\/a**(-2\/9))\/(a**(-9)*a*a**(-1\/6)) assuming a is positive.\nAnswer: a**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 577*p*v**3 + 7*p*v**2 + 3*p*v + 39*v**2 + 1 wrt v?\nAnswer: 3462*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*g - 49*g - 2 = -8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*m + 37, -o + 2*o = 4*m - 8. What is the greatest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*x + 57*x - 24. Solve -5*f + x*z = -19, -28*z + 33*z = -5*f + 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(2 + sqrt(45) + -5*(sqrt(180)\/sqrt(4))**2).\nAnswer: -1341 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(76)*4.\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 22 + 14 - 13*h + (-3 + 0 - 3)*(3*h - 2*h - 4*h) in the form i + t*h and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, -3, -8, -4 in descending order.\nAnswer: 2, -3, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h + 39. Let y be u(9). Let -1\/6*v**y + 1\/3*v**2 + 0*v + 0 = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10784*r + 53947. Give x(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4894498292 to the nearest integer?\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t + 32. Let h be p(-24). Suppose 4*m = -2*n + 228, 2*n - 2*m = m + h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2143662536 to four dps.\nAnswer: 0.2144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12714314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295563 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 703351240.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*g - 38076 = 6885, -2*i + 9*g = -89942. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 150*l**2 + 315*l - 160.\nAnswer: -5*(l - 1)**2*(l + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 303525 = -28*d. List the prime factors of d.\nAnswer: 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 80*k + 140.\nAnswer: 5*(k - 14)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d**3 + 27*d**2 + 2*d + 40. Let f(u) = -3*u**3 + 9*u**2 + u + 13. Let h(b) = -11*f(b) + 4*v(b). Is 35 a factor of h(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlyy when four letters picked without replacement from wywyywylyyyyyywwwyl?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.347 + 210497507.\nAnswer: 210497507.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 27*x**3 - 9*x**2 + 3*x - 5. Let s = -1954 + 1961. Let u(t) = -40*t**3 + 13*t**2 - 4*t + 7. What is s*h(i) + 5*u(i)?\nAnswer: -11*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 723517.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461599?\nAnswer: 461599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1. Let f(d) = 9*d**2 + 9. Determine 2*f(s) - 18*v(s).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -h + 4. Is h bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 - 4.18. Let u = -4.1 - x. What is u rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -0.08 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 3. Suppose 3*g - 25 = 2. Let x be (g*-1)\/(n\/8). Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 4, l: 5, y: 2}. What is prob of sequence lnoy?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 3*i**2 - 22*i - 8. Let l = -27 + 21. Calculate the least common multiple of s(l) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3)*93)\/((-9)\/342*19)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -5 (b) 5 (c) 2 (d) -0.4 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42211 (base 5) in base 10?\nAnswer: -2806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = -175 + 490 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102d (base 16) in base 6?\nAnswer: 31101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose 0 = 4*o - p*o. Find f such that 2*f + o*f - 3*f**2 + 6*f**2 + f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 - 133 - 27*g**3 + 3*g - g**2 + 64 as o + x*g**3 + b*g**2 + z*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12750777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 270529407 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.29826654 rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 5*l**2 - 5*l**2 + 2*l**3 - l**3 to the form y*l**2 + n*l + q*l**3 + j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10*o = -5*o - 15, -4*g + o + 18 = 0. Let q(x) = -x**2 - 3*x + 6. Let r be q(-5). Calculate the remainder when 1 + (r - -3) + 6 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 4*i + 4*i + (1 - 1 + 3*i)*(-4 - 1 + 3).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -34, -58, -86?\n\"Answer: -2*t**2 - 14*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -291982*o**2*p - 228563*o**2 - 2*o wrt p?\nAnswer: -291982*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 349 = -351. Let a(s) = -5*s - 4 + 2*s**2 + 2*s + 2*s - 2*s**3. Does 22 divide a(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, -64, -815, -2040, -3733?\nAnswer: -5888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*((sqrt(68) + -2 - sqrt(68)) + -3 + sqrt(68) + ((1*sqrt(68) + sqrt(68))*-6 - sqrt(68)) + (4 + -2*sqrt(68))*-3))**2.\nAnswer: 10200*sqrt(17) + 68423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, t: 5, a: 1, j: 4, l: 3, y: 5}. Give prob of sequence mytm.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7063351062426 - -0.5.\nAnswer: -7063351062425.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - z**3 - 2 + 3*z**2 + z**2 + z**2 + 5. What is the units digit of v(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423880+-0.273\nAnswer: -423880.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -52?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*l**3*v**2 + 5565*a**2*l**3*v - a**2*l**2*v**2 - 20*a**2*v + a*l**2 - 4*l**2*v + v wrt l?\nAnswer: -6*a**2*v**2 + 33390*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + x + 35 = 0, -25 = -8*x + 3*x. Solve 4*n = -0*n + f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98*(11 + 117\/(-21)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2165.\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.5, 3\/11, 1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4380229 is divided by 49216.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 211503167 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 90.4, -0.2, 0.4, 0, 5, -3\/5 in increasing order.\nAnswer: -3\/5, -0.2, 0, 0.4, 5, 90.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 2477 - 515. Find w such that 4*w**2 + 6*w**3 + 215*w**4 - h*w**4 - 24*w + 5*w**2 + 12 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14136480.\nAnswer: 2, 3, 5, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - t - 1. Let r be x(-1). Let u(s) = -s + 7. Let z be u(-2). Let d be (z - r)\/(5 - 4). Solve w + d = -4*a, 4*a - a - w = -17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8019309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 3, u: 6, m: 3}. Give prob of sequence utm.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**3 + 50500*r**2 - 100980*r = 0?\nAnswer: 0, 2, 10098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14755 + -14296. Calculate the highest common divisor of 1323 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 20*b**4 + 91236*b**3 + 72972*b**2 - 18244*b = 0?\nAnswer: -4561, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3538743*b**2*r**4 + 67511*b**2 - 47*b*r wrt r.\nAnswer: -42464916*b**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {z: 2, k: 2, l: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, f: 3, t: 4}. Give prob of sequence wtft.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 2\/5, 4, 2\/707, 2\/93?\nAnswer: 2\/707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.056 - -44. Let j = -0.097 - s. Round j to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 2. Let a(s) = -5*s + 3. Determine -3*a(o) - 4*f(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5536 is divided by 943.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 57*n**2 + 4*n + 4. Let q(r) = 113*r**2 + 7*r + 7. Suppose -4*d + 22 = c, -37 = 49*d - 50*d + 5*c. Give d*l(w) - 4*q(w).\nAnswer: -53*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 r when three letters picked without replacement from rrdrdrrrrrrr.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -1. Let z be (-4)\/(-6)*(0 - g). Let y = -13 - -41. Calculate the highest common factor of y and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 + 177643.\nAnswer: 177642.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 2. Let n be (-2)\/(2*2\/u). Let o = 0.1 + 4.9. What is the biggest value in o, n, -5\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 507 - 494.64. Let k = t - 0.46. Round k to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from gdfmfomg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 5, 0.3 in descending order.\nAnswer: 5, 0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -67*o - 1. Let y(d) = -34*d - 1. Let g(h) = 3*t(h) - 5*y(h). Let v(z) = -3*z**2 - 3256215 + 3256215. Calculate g(v(s)).\nAnswer: 93*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/18*(-40)\/((-3200)\/(-18)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 0*s**3 - 1 + 1 + 1383*s - 226*s.\nAnswer: s**3 + 1157*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*d - 2*s - 53, 4*s - 20 = 0. What is the smallest common multiple of d and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3 - 4. Suppose a = 2*c + 5*n + 8, n + 1 = 0. What is the remainder when c*102*(-3 + 2) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.210208268 rounded to 5 dps?\nAnswer: 0.21021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1180985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:02 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10148.07489 - -10147.2. What is f rounded to 2 dps?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2741, 5482, 8223?\nAnswer: 10964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/125770191 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 5, 4\/3, 3\/2, -6.7 in decreasing order.\nAnswer: 5, 3\/2, 4\/3, 2\/3, -6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + b + b)*(-42 + 65 + 354 + (-2 + 6 - 2)*(3 - 2 - 2)) in the form o*b + n and give o.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 527*g - 2021. Determine n(5).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*v = 5 + 4, 0 = -v - 1. Sort -2\/5, -1, -1\/2, u in descending order.\nAnswer: -2\/5, -1\/2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (-115)\/(-30))*66. Differentiate 24 - i*h + 30 - 1 with respect to h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47648820 + -0.1?\nAnswer: 47648819.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 4 + 2 - 0. Let d be -2 + (-1 - -1) + m. Suppose 4*w + 7200004 = -4*t, d*w - 4 + 6 = 0. What is t rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/23)*c**6\/c)\/(((c*c\/(c\/(c*c**(2\/11)\/c)))\/c*c*c)\/(c\/(c\/(c**9\/c)*c*c)*c*c)) assuming c is positive.\nAnswer: c**(2715\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwww. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039801 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000088075 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 14*b + 24*b)*(1 + 2 - 1 + (0 + 5 - 4)*(1 + 1 - 3) - 2 + 6 - 1).\nAnswer: 140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 821926 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303308 times 3?\nAnswer: 909924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -51\/42119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.8. Let v = 451.89 - -9.11. Let d = 461.03 - v. Is d > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -805 + 831. What is the lowest common multiple of b and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from lrggaag.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 1. Suppose -8*x = -5*x - 6. Let q(h) = 3*h - 1. Calculate x*q(d) - 2*z(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {r: 1, e: 1, h: 2, z: 2, y: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551 >= 8.63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(5 - (-44)\/(-8)). Suppose 0 = -g*z + 4 + 6. What is the least common multiple of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 26*x - 29*x - 622802, 3*n = -4*x + 373687. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000116524 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 28*z**2 + 70*z - 29. Let g = -459 + 485. What is the remainder when b(g) is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1181*n**2 - 1441 wrt n.\nAnswer: 2362*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036589 to the power of 1\/2, to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/3, 4 in increasing order.\nAnswer: -2\/3, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2 + 0 - 6*o - 4*o**2 + o**3 + 1. Let n = -1 + 3. Suppose -3*d = -n*d - 5. What is z(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30620 and -30620 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -858 - -1527. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1278*w**2 + 827*w**2 + 450*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77646953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuukuxx. Give prob of sequence xk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, o: 2, q: 4}. What is prob of sequence oqo?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 27575 = -8*v. What are the prime factors of v?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49771912 minus -58?\nAnswer: -49771854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -10333023?\nAnswer: 10333032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 1. Suppose 4*k = 3*g + 32 - 54, -3*k + 4*g = 13. Let y(q) be the first derivative of 3*q**2 + 3*q - 1. Determine k*x(n) - 2*y(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -468083\nAnswer: -6\/468083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*w**3 + 2\/7*w - 2\/7*w**2 + 2\/7 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/30354458 and 79\/2.\nAnswer: 30354458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f = -6. Suppose f = -3*l + 15. Suppose -5*x = -4*g + 3*g - 302, -174 = -l*x + 3*g. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(45)\/(sqrt(36)\/sqrt(4))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6)\/1 - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (144\/20)\/(3\/10). Suppose -32 = 4*l - b. Let t(n) = n**3 + n**2 + 2. Determine t(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:34 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -301 - 7 + 5*j + 55 + 45. Give f(45).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 7 + 41*q - 13*q - 7*q.\nAnswer: 17*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-7032)\/(-22561)*(-33)\/(-4))\/((-6)\/(-105))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*g - 7283, -21*g = -24*g - 15. What is the greatest common divisor of h and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-57)\/6)\/(63\/(-18))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from httpppttrrrrt. Give prob of sequence th.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-256)\/(-12) - 11) + -6. Put q, -1\/11, -3 in decreasing order.\nAnswer: q, -1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 c when three letters picked without replacement from rctcmrrrcrmvcvrr.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 1658 = -2*q - 1635, 3*q = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*o + 19 = -0*q, 3*q - 2*o = 16. What is the remainder when 30 is divided by (-33)\/q*8\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -1326, -5, -58, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 208431 to the power of 1\/2, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.92 - 0.08. Let r = j + 13. Let x = 9 - r. What is the closest to -2\/7 in x, 1\/8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -1 - (-10 - (11 - 10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/6)\/(-4*5\/(-18 - -3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681803232.\nAnswer: 2, 3, 11, 645647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11220 + 17012?\nAnswer: 30232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*i + 67 - 213, 3*z = 4*i - 126. Find the common denominator of (1\/2)\/((-22)\/4) and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -34 - (7 + -6 - -4 - -22).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. What is the common denominator of 5632\/1280*2\/56*5 and f\/8 + (-37)\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.7338 kilograms in milligrams?\nAnswer: 309733800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93.84879ml?\nAnswer: 0.09384879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 393*b - 6925. Give g(-20).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -r - 3*r. Suppose -4*w + r = -q, -12 = -4*w + 4*q - 0. Suppose -2*h - w*h + 15 = 0. Sort 2, 0, h in increasing order.\nAnswer: 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c - 1. Let q(v) = 9*v + 2. Calculate -7*b(u) - 4*q(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 318734 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i + 152. Calculate l(15).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/12*15\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2015.8 - 2018.8678. Let y = d + 3.15. Round y to 3 dps.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -0.2 (c) -0.004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1323*w**3 - 1197*w**2 + 123*w - 3 = 0. What is w?\nAnswer: -1, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*h + 158*h - 47*h - 2*h**3 - 52 + 51 + 143*h + h**4 to the form l*h**3 + y*h + x*h**4 + s*h**2 + q and give y.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 233 = -417 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-30)\/n)*n**(-28))\/((n**(5\/3)*n)\/(n*n*n\/(((n\/n**(-16))\/n)\/n*n*n))) assuming n is positive.\nAnswer: n**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-16))\/((3\/4)\/((-8)\/(-24)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/2*184\/(-368)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 245, 337, 431, 527, 625?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.1, 12 in increasing order.\nAnswer: -1\/7, -0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 129*j**2 + 11*j + 11. Let t be y(-1). Let r be (-98)\/(-60) - t\/86. What is the closest to 0.9 in r, 0, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-15))\/(3*13\/390)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzy when three letters picked without replacement from {z: 3, w: 2, y: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x - 5. Let s(j) = -j + 33. Let y be s(17). Suppose 14*g - y = 10*g. Determine w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = x - 29, -10850*x = -10849*x - 5*p + 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -90, -3, -2 in descending order.\nAnswer: 1, -2, -3, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13*q. Let d be b(6). Suppose -6*r + 8*r + d = 0. Which is smaller: -40 or r?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.094 + 0.106. Let o = y + -22. Let r = o + 0.8. Is 1\/5 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/15 (c) 220531 (d) -1\/8 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b - 2*b. Suppose 0 = 21*v + b*v - 7659. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 + 3230*a**2 - 20*a - 12920 = 0.\nAnswer: -646, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -21. Let h(f) = -10*f**2 - 2 - 11*f**2 + c. Let n(w) = -2*w. Calculate h(n(o)).\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18850 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.029 (b) -4 (c) 39 (d) -4\/17 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.024? (a) -71 (b) 0.2 (c) 35\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/430996 and -145\/6042.\nAnswer: 1292988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.061 * 7199\nAnswer: -439.139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((253\/(-22))\/23)\/(2\/32). Let p = -2 + 3. Put p, l, -3 in descending order.\nAnswer: p, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075312362 to the power of 1\/2, to the nearest integer?\nAnswer: 32792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*(t*t\/(t*t**9))\/t*t\/t**(-10)*t assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 0*r - 3*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-11) + 280\/110 + -2)*22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + p + 2. Let o(j) = -7*j**2 + 4*j + 11. Let m(l) = o(l) - 6*r(l). Give m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -28*g + 164. Let v be r(13). What are the prime factors of (960\/v)\/(6\/(-400))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518595013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 172 in increasing order.\nAnswer: -1, 2, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 480955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 825\/(-33)*((-12)\/75)\/((-16)\/120)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.579245 kilometers to meters.\nAnswer: 3579.245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21617138, -21617138, -21617142, -21617150?\nAnswer: -21617162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - 1.6. Let m = a + 19.9. What is the second biggest value in -1, 3\/8, m, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*(39\/(-54) - (-40)\/(-240)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/2)*w)**(-30)\/((w**(-4)*w)\/((w\/w**(1\/3))\/w)) assuming w is positive.\nAnswer: w**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 2\/3 (b) -1\/3 (c) -3 (d) -0.177 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*b - 84*b + c - 15, 5*c + 5 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/8 + 39*x\/8 - 33\/4.\nAnswer: -3*(x - 11)*(x - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 3*o - 3. Let x be q(1). Let p(u) = -17*u**3 + 2*u**2 + 3*u + 1. Is 2 a factor of p(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = -4*q. Let x be (-8)\/(-2) + -2*21. Let o be (1 - x\/q)*-3. Calculate the highest common factor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 q when four letters picked without replacement from wqlqqlwqqlqlqqqqffq.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -38 (c) -135 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 165*x + 2791. Calculate p(-146).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.116 + 522.684. Let l = -459 + k. Let f = -60 + l. What is f rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21721832 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 72. Suppose -2*i + 4*u - 202 = 0, 0*i + 2*u + 184 = -z*i. Let q = i - -215. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -264, -241, -200, -135, -40, 91, 264?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*d + 75*d + 6 = -6*z, -d + 2 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/11))**49\/(t\/((t*(t**(1\/2)*t)\/t*t)\/t))**(-13) assuming t is positive.\nAnswer: t**(53\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-15)*w**(2\/15)\/w)\/((w*w**(-2\/7))\/(w*w\/(w\/(((w*w**10\/w)\/w*w)\/w)))) assuming w is positive.\nAnswer: w**(2669\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -435*p - 222 with respect to p.\nAnswer: -435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41954, -83932, -125936, -167966, -210022, -252104, -294212?\nAnswer: -336346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*4*2\/4. Suppose -h*l = 2*s + 2*l - 20, 4*s + 3*l - 15 = 0. Let j be (3\/(-1))\/((-4)\/4). Solve -i + s = -j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p - 5*p - 69 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**7\/420 + z**6\/180 + z**5\/30 - z**3\/6 + z. Let s(r) be the second derivative of x(r). Find t, given that s(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 + 8*v**2 - 4*v**2 - 6*v**2 + 3*v**2 - 2*v - 7*v**2 + 1 as q + c*v**2 + a*v + k*v**3 + h*v**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 2*o + 0*o + (o + 0*o - 3*o)*(2 - 1 - 3) + 14234 - 14234 - 409*o + 4*o - 3*o - 2*o.\nAnswer: -407*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5124994 hours in microseconds?\nAnswer: 1844997840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 275646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -511*d + 21958. Calculate f(43).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -113*w + 40. Suppose 0 = y - 5*n - 22, 0 = -n - 7 + 2. What are the prime factors of j(y)?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241781 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/223 > -0.024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/11*f**2 + 2\/11*f**3 + 0*f.\nAnswer: 2*f**2*(f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -8) + (-3 - 1) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-28)\/(-5))\/((-14)\/(-35)). Let l(g) = g**3 + 3*g**2 - 7*g - 5. Give l(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-13 - 20\/(-8)) + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 21. Let b = 6 + 32. Calculate the remainder when b is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6893 + 6902.331. Let s = u + -9.2. Round s to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127493, -127484, -127471, -127454?\nAnswer: -127433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057912.\nAnswer: 2, 223, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1373, 1422, 1471?\n\"Answer: 49*z + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15850 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15505 divided by 3101.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/126)\/((-206)\/(-222108)). Let g = c - 599. Is g at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j**5)\/((j**9*j)\/(j\/((((j\/(j**(3\/4)\/j))\/j)\/j)\/j))) assuming j is positive.\nAnswer: j**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 5. Let v be s(2). Suppose v*a - 3*o + 23 = -a, 3*a + 21 = 3*o. Let z be a\/(-7) - (-2128)\/98. What is the highest common divisor of 55 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176 = 75*n - 89*n. Suppose 3*f + 0*f = -3*b + 324, -3*b - 2*f = -321. Calculate the highest common divisor of b and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.56 + -0.04. Let t = -14 - j. What is the biggest value in -3\/5, -4, 1\/3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - ((242 - 255) + (1 - (-1 - 9)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z + 64 = -30*z. Let p = -20 - -40. Let k be (-6)\/z + 90\/p. Which is the closest to 1.2? (a) k (b) 2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14880758, -14880802, -14880868, -14880950, -14881042, -14881138, -14881232, -14881318?\n\"Answer: m**3 - 17*m**2 - 14880742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u - 22*u - 5 + 20*u. Let c be p(2). Put c, 5, 4 in increasing order.\nAnswer: 4, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 254 + -252. Suppose -w = n*y - 223, 5*y + 5*w + 138 = 698. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 561 - 201. Suppose 10 = -2*y + 4*y. Solve -x = 3*l + r, -6*l + y*x = -2*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 - 4*z**2 - 2*z + 6. Give k(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220599, 882387, 1985365, 3529533, 5514891, 7941439?\nAnswer: 10809177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2 + 10*w**3 + 2*w**3 + 2*w**2 - 8*w**3. Let x(d) = -12*d**3 - 7*d**2 + 7. Calculate 14*i(z) + 4*x(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10144, 10043, 9942?\nAnswer: 9841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 355113864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a week in minutes?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 1386 + 1386.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 22\/3, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-20))\/(-4*(-9)\/(-30))*-9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (3 - 4)*188. Let d = 81 + x. Let c = d + 193. Calculate the greatest common divisor of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*l - 292, -2*l + 215 = 4*z + l. What is the greatest common divisor of 98 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r - 6. Let i(o) = -o - 1. Let g(x) = -x**2 + 11*x - 5. Let c be g(10). Suppose -c*j + 4*p = -12, 0*p - 3*p = -6. What is j*i(h) - w(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 12:54 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/2 + 862*c**4 + 7933*c**3 - 233678*c**2 + 2044127*c\/2 - 797180 = 0.\nAnswer: -23, 1, 5, 8, 1733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*m + l - 9, -m + 5 = 4*l. Suppose -3*q + 0 = -m*z + 2, -2*q = -z + 6. Let d(r) = -14*r + 1. List the prime factors of d(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4073 and -9153.\nAnswer: -37280169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6237784.\nAnswer: 2, 7, 23, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let q = -9.31 + -170.69. Let u = 179 + q. Which is the second smallest value? (a) -2\/9 (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*y = -25, 2*n + y - 51 = -16. Calculate the smallest common multiple of 18 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((4250\/(-51))\/25)\/(4\/(-7698))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 819*s + 8775. What is o(11)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 2 + 3*t + 4*t**2 + t**3 + t**4 + t - 5*t**2 as w*t**4 + i*t**2 + h + r*t**3 + c*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.263 + 16.263. Let y = 0.4 - -33.6. Which is the third biggest value? (a) y (b) -2 (c) q (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6\/(-81)*(30\/(-12))\/(-5)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**3 - 3*l**2 + 2*l - 2. Let f be k(-3). Suppose -3*y = -8*y + f. Suppose -3*r + y = -1. What is the remainder when 18 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11964, 13448, 14932, 16416, 17900, 19384?\n\"Answer: 1484*c + 10480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9208*o - 8532. What is x(-1)?\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3919909.\nAnswer: 7, 19, 29473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6, 3*i + 2*r - 45 = -12. Suppose -2*u + 364 = -7*k + i*k, 182 = u - 5*k. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.875 - -752.475. What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1573)*-6 + ((sqrt(1573)*-1 + -1)**2 - sqrt(1573)))*2.\nAnswer: 286*sqrt(13) + 3148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -63, -118, -193, -294, -427?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/12 - 15\/(-40)*-2. Which is the biggest value? (a) f (b) -2 (c) 0.0507 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9616209 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.007 + 3.007. Which is bigger: -0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 7*l**2 + 12*l - 8. Let c be w(5). Let s(j) = 95*j - 19. What are the prime factors of s(c)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 4 - 4)*(-7*t**3 - 10*t**3 + 8*t**3 + (-3*t - 2*t**2 + 3*t)*(-5 + 2*t + 5) - 2*t**3 + 2*t**3 - t**3 + t**3 + 0*t**3 + 0*t**3).\nAnswer: -13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1150401?\nAnswer: 1150401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17785.4525 rounded to the nearest one hundred?\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3 - 9. Let c(v) = -334*v - 10. Let r be c(k). Suppose 4*p + 178 = r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 71777, 143647, 215517, 287387?\n\"Answer: 71870*b - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007415528 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 782005.7268 to the nearest one thousand.\nAnswer: 782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 - (8 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7 = -2*d - 2, -l + 4*d = -11. Let p = -1541 + 1537. Calculate the remainder when 39 is divided by l + (3 + p - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 3. Let w(u) = -13*u**2 + 10*u**2 - 1 - 4. Determine -3*w(t) + 5*x(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c03 - 0?\nAnswer: 4c03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 + -194. Let c be (6\/21)\/(4\/28). Sort a, c, -5, -2.\nAnswer: -5, -2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**4\/24 + 17*w**3\/6 - 11*w**2. Let k be f(17). Let o(s) = s**2 - 9. Determine o(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14891?\nAnswer: 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 8*p**2 + 4*p**2 + 0*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 437 and 141036?\nAnswer: 2679684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 555ee?\nAnswer: 555ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1869900287.8 and -36?\nAnswer: 1869900323.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 69*b - 74*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) + 4\/8. Suppose g = 2*h - 96 - 58. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 20*s + 22. Let h be p(-19). Let y(g) = g**2 - 3. Let f be y(h). Suppose 89400000 = -f*v + 12*v. Round v to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*j - 48 + 40*j + 48.\nAnswer: 79*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3) + 0)*-9. What is the second derivative of 13*l + 2*l**w - 3*l**3 - 11*l wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 156. Suppose -2*j + 0*j - t = -53, t - g = -3*j. Solve 0 = -5*a + 3*n + 10, 5*a - 2*n + 6*n + j = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8063 or 8081?\nAnswer: 8063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/5 or -3?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 41*o + 17. Let a be b(5). Let h = a - 82. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -520 + 994 - 133*c**3 - 479 to the form z*c**3 + x*c**2 + u*c + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -1*sqrt(320) + -1 - -6*(sqrt(320) + -1)) + (sqrt(320) + sqrt(320) + 0 + -3)**2 + -1*sqrt(320) + -4.\nAnswer: -56*sqrt(5) + 1278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 10, 1, 2 in ascending order.\nAnswer: 1, 2, 10, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.6 - 46.6. Let d be 0 + -3 - (-500)\/160. Sort o, d, -0.3, 0.5 in increasing order.\nAnswer: o, -0.3, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.94028ml in litres?\nAnswer: 0.00594028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/20 + 29*d. Let z(w) = w**3. Determine 9*o(g) - 4*z(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 3, b: 1, x: 2}. Give prob of picking 1 c and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4181 and 59940?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 1310888*z + 214803418568.\nAnswer: 2*(z - 327722)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1263, 0.3, 5, -3\/2, -5, -13.\nAnswer: -13, -5, -3\/2, -1\/1263, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(1*((sqrt(468) + 1 + sqrt(468))*-4 + sqrt(468) + -2 + -1*sqrt(468)))**2.\nAnswer: 11520*sqrt(13) + 599760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -358683.782 rounded to the nearest 10?\nAnswer: -358680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd (base 15) in base 10?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151594\/1395 + 4\/1395. Is -0.6 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83105055 divided by 955?\nAnswer: -87021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*-2*5 + -5*(2 + sqrt(175)))*-2)**2 + 5.\nAnswer: 6000*sqrt(7) + 157905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 2366cc?\nAnswer: -2366cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, -0.3, 19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 9053 + 4529 + 4548)*(1 + 10 + 4)*(-z + 4*z - z) to the form n*z + h*z**2 + q and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 50*i**2 + 0*i**3 + 1\/24*i**4 + 0*i + 1. Let n(z) = -z**2 + 8*z. Calculate n(c(o)).\nAnswer: -o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_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: Calculate 20\/(-5) + (-1695)\/(-30) - (-117)\/234.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - 0. Let x = 2305.9 + -2306. Put x, u, 2, 0.4 in decreasing order.\nAnswer: 2, 0.4, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9512 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -10*m**3\/3 - 21553. Let a(d) = -13*d**2 + 4*d**2 - 5*d**2. Give a(z(o)).\nAnswer: -1400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/120 - n**4\/4 + n**3\/3 + 4*n. Let f(z) be the second derivative of i(z). Calculate f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:39 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 3 + 0)\/(-1). Let q be 58\/18 + 22\/(-99). Suppose -q*o = -2*o. Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 47*c**2 - 21*c - 1865. Give h(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*x = -603, 0*m - 5*x - 1992 = 16*m. Which is the fourth biggest value? (a) m (b) -1\/4 (c) 6 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7253 divided by -3\nAnswer: 7253\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065982 (base 10) in base 5?\nAnswer: -233102412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19 and 14.\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*q - 25*q = 3572. Let w(b) = -2*b + q - 94. Let r(m) = 4*m**2 + 26*m. Determine w(r(y)).\nAnswer: -8*y**2 - 52*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 23. Suppose 41*k - q*k - 9 = 0. Let w be -3 + 14 - (1 - -1). Calculate the greatest common factor of k and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-88*m - 14 - 99*m + 190*m).\nAnswer: -3*m + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 115207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**3 + 76*m**2 - 7*m - 79. Let g(w) = 34*w**3 + 380*w**2 - 34*w - 394. Let p(j) = -3*g(j) + 14*z(j). Suppose p(c) = 0. What is c?\nAnswer: -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248609 minus 0.044223?\nAnswer: 1248608.955777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) - (-3 - -3). Suppose -21 = -p + h, t*h - 87 = -3*p - h. Let n(y) = y**2 - 7*y - 21. What is the remainder when p is divided by n(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-72)*4*24\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5813, -8462, -11105, -13742, -16373?\nAnswer: -18998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0*p**2 - 1\/2*p**4 - 17*p + 0*p**3 + 0. Let c(n) be the first derivative of -2*n**2 - 8. Calculate y(c(v)).\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2248 and 22.37.\nAnswer: -50287.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(12\/(-10))*(-4524)\/(-28275)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**3 + 2*r + 2. Let b(q) = 36*q**3 + 16*q**2 - 6*q + 26. Let x(v) = 7*v**3 + 3*v**2 - v + 5. Let f(d) = 3*b(d) - 16*x(d). Give 4*f(n) + 3*p(n).\nAnswer: -n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(11 + (-2 - 1) - 7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -2, 6, -4 in descending order.\nAnswer: 6, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 487 + 479 = 0, -12 = -f + 4*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 4*s + 9. Let w be x(2). Let m(r) = -493*r - 53. Let p be m(w). Is p\/2*(-2)\/(-1 - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 1815882 + 907937 + 907945.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9014192 divided by -204868.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 418 + -261. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143869406 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 248313104*c**2 + 669051*c + 636?\nAnswer: 496626208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4177*k**4 - 4078*k**3 - 56751762*k**2 wrt k?\nAnswer: -100248*k - 24468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) -1\/8 (c) -1 (d) -2 (e) 16 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -104, 124, 558, 1264, 2308, 3756?\nAnswer: 5674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 125101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttiptitnpttttltt. Give prob of sequence itn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 2. Let v(m) = 144*m**2 + m - 15. Let k(p) = -3*o(p) + v(p). Find the second derivative of k(w) wrt w.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 2. What is the least common multiple of z and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 32 + 1 + -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 53, 146, 329, 632, 1085?\nAnswer: 1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -u - 6, 2*q - 4*q - 2*u + 12 = 0. Suppose 0 = 3*w - 3 - q. Suppose 10\/11*s**4 - 14\/11*s**3 + 8\/11*s + 0 - 16\/11*s**w = 0. Calculate s.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 - -324. Let o = t - 30. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 2*a**2 + a + 3. Is p(-4) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111100101 - 10?\nAnswer: 100111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*l + 347*l + 1266*l**3 + 6*l**2 - 193*l + 1.\nAnswer: 1266*l**3 + 6*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -60*r. Let j(i) = 2*i**2. Determine a(j(t)).\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 m when three letters picked without replacement from mssmmaamsrsmwasa.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3381 - -4306\nAnswer: 7687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-140)\/(-15))\/(4\/6). Let o(l) = -14 + f + l. What is o(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 - 7 + 7 + (-f + 6*f - 2*f)*(5*f**3 - 4*f**3 - 4*f**3).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2)\/(11*93\/(-10230)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:27 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*k - 39*k - 7. Sort k, -0.3, 0.4, 12 in increasing order.\nAnswer: -0.3, 0.4, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s**3 - s**2 - 5. Let a = -12 - -12. Let n(v) = -v**2 - 11 + 1 + 9*v**3 + 6 + a. Determine 6*l(y) - 7*n(y).\nAnswer: -3*y**3 + y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2611428 and 1104?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, 1, -1\/3, -33, -0.4, 411, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2651344 by 662836.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 17 = -n - 4*m, m = -2. Let u = 13 + n. Solve u*l - c = l + 1, 5*l + 40 = -4*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(14\/(-4)))\/((-5)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 s when three letters picked without replacement from msmmsmssmttm.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 1706 - 1167 - 539.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/8)*x)**31 assuming x is positive.\nAnswer: x**(341\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 12:04 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*u**2 - 3 + (-2*u**2 + 0*u**2 + 4*u**2)*(3 + 3 - 5).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 529467 to the power of 1\/2, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 240 - 240. Suppose 3*q - 4*i - 1 = s, -22*q + 13 = -19*q + 2*i. Solve -2*k + q = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 + i. Let f(j) = 11*j**3 + 3*j**2 + 8. Let a(z) = f(z) + 2*h(z). Let y(c) = -5*c**3 - c - 4. Let n(w) = 4*a(w) + 7*y(w). Give n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z + q = -62*z + 95, 2*z + 96 = -4*q. Put -3, 22, z, 2 in decreasing order.\nAnswer: 22, 2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9726 - 8255 + 545 - 4389 - 17735)*(-2*q - 3*q + 3*q) in the form h*q + m and give h.\nAnswer: 79120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 50. Solve 0 = w + z + 8, -w + 4*z - j = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o + 48. What is the hundreds digit of w(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (8 + 6) - ((-73670)\/3197 - (0 - 12)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1202124034 - -10?\nAnswer: 1202124044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -5797\/8931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 1. Let l be k(0). Let c be (1\/(-3))\/(l\/(-3)). Is c at most as big as -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + o + 79 = 18, -37 = -f - 3*o. Let q = -2 - -8. What is the smallest common multiple of f and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j + 16*j - 32*j - 24*j - 2*j**3 + 73*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5381712 divided by -4496?\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2.737 (c) -1 (d) -3 (e) 1\/5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 24 - (3 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10433521 - 991521. What is i rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (700\/300)\/(49\/483)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(84) + 1*sqrt(84) - sqrt(84))*4)\/(sqrt(588)*-2).\nAnswer: -10*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -3 + (2 - 1). Let b be ((-30)\/80)\/(a\/(-2)). Which is greater: b or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58756.37ml to litres.\nAnswer: 58.75637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 29. Suppose 0 = 5*s - 0 - d. Let q = -2389 - -2396. Solve 0 = -l - s*l - v + 13, -l = -2*v - q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-2)\/1)\/(-1). Which is greater: k or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2 + (11 - -369) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -154170 and -0.2.\nAnswer: -154170.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90174 and 87360?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 340 = -4*t, -11*u = -4*t - 15*u + 364. Suppose 4*k - 26*k = -t. Let n(g) = g**3 - 6*g**2 + 7*g - 2. Give n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l + 60. Let x be j(8). Let r(o) be the first derivative of o - 1\/3*o**3 + o**x + 1\/2*o**2 + 4. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*u - 5. Suppose h - 28 = -u*h. Let l(t) = t**3 - 7*t**2 + 2*t + 8. What are the prime factors of l(h)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 0.5, -9\/4.\nAnswer: -9\/4, 0.2, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/1*(-24)\/16. Let k = 4 - b. Differentiate 1 - 7 + 14*l**4 + k with respect to l.\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(98)\/sqrt(2))\/(6*-1*sqrt(7)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjujjuuq?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8214142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210580*g**2 - 99479*g**2 - 111099*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*q = 11 + 14157 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 236*u**2 + 9*u + 3. Let l be w(9). Round l to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*z - 34 + 15, -2*x + 18 = -4*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxb. What is prob of picking 1 b and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -54. Let g = -22 + 26. Solve 2 = g*u - o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*v - 6 = 0, -4*s + 4*v + 8 = -9*s. Which is the nearest to -1\/8? (a) s (b) -6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 + -2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 32*k - 18. What is the remainder when h(30) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -72, 0.45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243 and 78.\nAnswer: 6318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14340a3 - -19?\nAnswer: -1434088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.75 plus 4186?\nAnswer: 4190.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 23*v**3 - 11*v**2 - 28*v + 17. Determine b(-5).\nAnswer: -2993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 33 = -102 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + 5 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306973486.\nAnswer: 2, 153486743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88\/5 of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-101634)\/(-104))\/((-15)\/(-20)) is divided by 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*1026\/(-6327)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neweeenzz. Give prob of sequence zwnz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-9)\/(18\/4) + -18. Let q(v) = v**3 + 14*v**2 + v + 10. Give q(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 258*p**4 + 7*p + 309. Let f(o) = -259*o**4 - 6*o - 308. Let w(m) = -7*f(m) - 6*t(m). What is the first derivative of w(b) wrt b?\nAnswer: 1060*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Let h = -2.9 + z. Let t = 2 - 5. What is the nearest to h in t, 1\/3, -1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/(2752\/28896)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 327424 and 8953?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.51227 + -0.51. Round t to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = -6*p. Let t be p\/3 - 16643810\/(-15). Suppose -150412 - t = 3*q. What is q rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(200) + sqrt(200)*-1 + -3 + 5) + -4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*f + 2427 = 5*f, 4*l + 4*f - 3196 = 0. Suppose -l + 393 = -3*x. Calculate the remainder when x is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) 5 (c) -15927\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert -112674 (base 13) to base 8.\nAnswer: -1427555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-19*n**2 - 41*n + 41*n)*(-5*n + 2*n + n) - 5*n**3 - n**3 + 4*n**3)*(-3 - 8 + 63 + 14).\nAnswer: 2376*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 320010 plus 10?\nAnswer: 320020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 7. Suppose 0*a = -3*a, 4*n - 40 = -3*a. Let y be j(n). Solve -2 = -5*v + 5*z + 3, v - 9 = y*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/75)\/(66\/(-15)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-1 - 0)) + (-48 - -56).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.13 and -1406330604227.\nAnswer: -1406330604228.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 3 - 73 - (-11 - 0 - (-3 + -20)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*1 + 2 - ((sqrt(48))**2*1 - sqrt(3)).\nAnswer: -46 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10799 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1473525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eet when three letters picked without replacement from {g: 2, e: 6, z: 1, t: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (284\/4 - 0). Let p(m) = 4*m**2 + 2*m + c*m**3 - 19*m**3 - 3*m**2 + 0 - 1. Is p(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**7\/735 + p**6\/420 - p**5\/210 - p**4\/84 - p**2\/2 + 3. Let v(h) be the second derivative of u(h). Factor v(s).\nAnswer: 2*s*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224917321674 + 224917321674 - 41*o.\nAnswer: -41*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 32 = -2*t. Let d = -4 + t. Let u = -8 + d. Solve u*g - 13 = -5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1077300 by -315.\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*c - 4374*c**3 - 4329*c**3 + 2109 + 8738*c**3 wrt c.\nAnswer: 105*c**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -34 + 46 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*o - 5*w + 2, w - 9 = -7*o. Solve n + o = 2*c, 2*c + 2*c + 2*n - 22 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2. Let h(d) = -668*d**2. Calculate b(h(r)).\nAnswer: 3123568*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 11*o**5\/10 - 37*o**2. Let y(b) = b. Determine d(y(t)).\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/(-12) - ((-1071)\/812 + (-106)\/(-1537))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**20)*o*o))\/(o*o**(-4\/11)))\/((o\/(o**(-15\/2)*o))\/(o\/(o**(-19)\/o)*o)) assuming o is positive.\nAnswer: o**(-157\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 - -2633\/17. Let k = 21.7 + -4.7. Let m = k + -22. Is h != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14560 divided by 14?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14310 (base 5) in base 6?\nAnswer: -5325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*u - 27 = -3*a, -2*a - u + 9 = 0. Let z = a + -1. Suppose 2*r + 44 = 4*x + z, 0 = -4*r + 20. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*z - 148*z + 0*z**2 - 3*z**3 + 6*z**2 - 49*z.\nAnswer: -3*z**3 + 6*z**2 - 314*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4619660 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.7782758 rounded to 2 decimal places?\nAnswer: -169.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((852\/71)\/84)\/((-1)\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 + (-21)\/(-27). Suppose 79 = 12*c - 41. Let i(d) = -d**3 + 5*d**2 + 52*d - 20. Let g be i(c). Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 1. Let z(y) = -y - 2. Let d(o) = -2*o - 1. Let m(p) = -3*d(p) + 2*z(p). Let b = 95 - 94. What is b*w(c) - m(c)?\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s**3 + 322*s**2 - 52*s + 5. Let b(z) = -z**3 + 2*z**2 + 2*z + 1. Let n(i) = 5*b(i) - f(i). Factor n(y).\nAnswer: 2*y*(y - 31)*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131.81 - -131.907. Put -1\/7, 2, -1\/4, -5, p in ascending order.\nAnswer: -5, -1\/4, -1\/7, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -81*x**6\/20 - 227*x**4\/6 - x**2 + 49. Find the second derivative of t(r) wrt r.\nAnswer: -2916*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(1 - 6\/4). Let u = -11 + j. Let m = u + -1. Solve b + 1 = m*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + r = 4636, 5*r + 14 = 44. Calculate the remainder when l is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25561 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + 2*sqrt(192) + -2 + -5)**2 + 5.\nAnswer: -320*sqrt(3) + 873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12101002 (base 5) to base 2.\nAnswer: -11011011111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20213 and 81877.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/2639 and -69\/10.\nAnswer: 26390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.218605 nanometers in centimeters?\nAnswer: 0.0000003218605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1204)\/(-344)*(-592)\/28?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19419?\nAnswer: 3, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2002 divided by 91\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 97. Calculate the lowest common multiple of 13 and -2 + (u - (1 + -4))*-2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1266 and 7.\nAnswer: 8862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1 + 8*o + 4*o**2 + 2*o - 5*o**2. Let c(a) = a**2 + 3*a - 1. Let i be c(-5). What are the prime factors of d(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 375*i**2 + i**3 + 375*i**2 + 2*i + 5*i**4 in the form a*i**2 + g*i**3 + l + w*i + j*i**4 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2994, 24245, 81928, 194259, 379454, 655729, 1041300?\nAnswer: 1554383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 12 = 0. What is the smallest common multiple of 9 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20564 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 264 - 262. Suppose -4*n = -x - 11, 0 = -g*x - n + 3*n - 4. Solve 3*m - 3 - x = 2*w, 2*m - 9 = -5*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -33. Find the first derivative of 33*i**4 - 46*i**m - 1 - 16 wrt i.\nAnswer: -52*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0639 and -2?\nAnswer: -0.1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/60 + 5*z**3\/3 + 11*z**2. Find the first derivative of g(u) wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-228)\/(-54) - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, b: 3}. Give prob of sequence bblb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490317823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 211071?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 37*f + 10, -15*f + 11*f + 4 = -6*f - 0 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71450718?\nAnswer: 2, 3, 197, 60449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000599 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdhhddhhhh. What is prob of sequence hh?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -173*s**5 - s**2 - 2*s + 1422 wrt s?\nAnswer: -3460*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 11*i**2 - 9*i - 10. Let l be p(10). Suppose 5*r - 31 - 69 = l. Suppose b = -9 + r. What is the remainder when 30 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -393570 + -184077.\nAnswer: -577647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -82. Let j be (2\/(-6))\/(5\/6). Let i = 2 + -3\/2. What is the closest to j in y, 3\/8, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/18 - 6*(-3)\/(-12). Suppose 2*c = 5*o + 6, o = 2*c - 6 - h. Suppose -2 = -2*w + w, 2*i + 3*w - 186 = o. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 6*o**2 - o**2 + 9*o + 4*o + 18*o.\nAnswer: 5*o**2 + 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 * 0.3.\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f + 6*f + 433 - 74*f - 433 + 76*f - 15*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126950915 or -126950916?\nAnswer: -126950915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 1, o: 14}. What is prob of sequence ogo?\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*r + 16902 = 134*r + 276*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1735)\/6246)\/(2*3\/(-54))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-35)*21903\/(-44849)?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 7*v**2 - 15*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l - 25118 = -805*l + 69*l. Suppose 2*u = u, 5*u + 37 = k. Is k greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 5. Suppose -5 = -b*q + 35. Suppose 4*y - q = 104. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 29*s - 44. Determine f(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008291.\nAnswer: 3, 47, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1009417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 151*r + 936. Give i(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3658170 by -731634.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1600000*q. Let w be n(-2). Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (4 - 4) + (7 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**4 + 27*k - 27*k + (-k**2 + 2*k**2 + 3*k**2)*(-k - 2*k**2 + k).\nAnswer: -13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 3*t**2 - 5*t + 5. Let p = 8 - 5. Suppose 3*w = 18 + p. Suppose 3*q - 14 = -a, -4*a - w = -5*q + 5. Determine h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57.2 + -57. What is the nearest to 0 in w, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 37*l - 616. Is s(45) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/45 and 19\/8364663?\nAnswer: 41823315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93d8 (base 15) in base 9?\nAnswer: 46775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -17\/6 (c) 4 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 1, 11, 37, 85, 161?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 33074628?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45291 and 58440?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -385*((-21)\/15 - -1) - 1. Let p = 463 - o. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -504 + 841. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 9. Let i be u(-6). Solve 1385*a**i + 795*a**2 + 105*a**4 - 207*a**4 - 193*a**4 - 1400*a - 91 + 15*a**5 - 158 - 251 = 0.\nAnswer: -1, -1\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -31 + 51. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237518, 237513, 237504, 237491?\nAnswer: 237474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16599610 is divided by 22896.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 0) + -46 + 37.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v**2 - 26*v - 8. Let f be c(2). Let s(z) be the second derivative of -1\/150*z**5 + 0*z**2 - 1\/9*z**3 - 1\/15*z**f - 13*z + 0. Solve s(b) = 0 for b.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**6\/180 - c**5\/15 - c**4\/4 - 4*c**3\/9 + 8*c**2. Suppose o(a) = 0. What is a?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 934*s**2\/3 - 57808*s\/3 - 133888.\nAnswer: 2*(s - 523)*(s + 8)*(s + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202*i**2*s**4 - 36*i**2*s - 2*i*s**5 - 58*i*s - i wrt s?\nAnswer: 2424*i**2*s**2 - 40*i*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77198427.98 rounded to the nearest ten thousand?\nAnswer: 77200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1118*v - 3 - 1 - 3 + 6 to the form h*v + s and give h.\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, and 1 c when three letters picked without replacement from {l: 3, b: 4, c: 4, t: 1, y: 3, h: 2}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j + 4. What is c(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5934*l**3 - 26737*l - 499029017?\nAnswer: 17802*l**2 - 26737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1626, -5\/6, 0.1, 5, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (14 + -6)) + (-1 - (-4 + 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5, -3*v - 25 = 5*x + 2*v. Let p = x - -10. Suppose p*g = -0*g + 76. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70653*a**3 + 70589*a**3 - 141220*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k + 5*k**3 + 30*k - 13*k)*(-3*k + 5*k - k).\nAnswer: 5*k**4 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4) - 1)\/(5496\/(-43968)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 836.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 4*w + 7)*(0 - 2 + 5)*(34 - 46 - 14) + 4*w + 2*w - 2*w as t + x*w and give x.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2804.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from ppppikppppepppk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/7 - 292*k**3\/7 + 1426*k**2\/7 - 2264*k\/7 + 1128\/7 = 0. Calculate k.\nAnswer: 1, 2, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1029))\/(3*sqrt(3)*4).\nAnswer: 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39, -29, 3, 69, 181?\n\"Answer: 2*z**3 - z**2 - z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a - -2514833?\nAnswer: 2514805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**0*g*g*g*g))**(-11\/5))**(-1\/15)*((g**(-4)\/g)\/(g**(-2)\/g))\/((g\/g**2)\/(g*g*g*g\/(g*g**6)*g*g)) assuming g is positive.\nAnswer: g**(-61\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4\/4 + 111*i**3\/4 + 2807*i**2\/4 - 111*i\/4 - 702 = 0.\nAnswer: -72, -39, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 - 2. Let y(w) = -w**2 - 1. Let b(o) = -7*o**2 + o - 1. Let v(u) = b(u) + 6*y(u). What is 7*k(f) - 2*v(f)?\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, 4.5559, 0.01?\nAnswer: 4.5559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 2*w + 2*w + 0*w**2 - 2*w**2 + 7*w**2. What is j(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 3*l**3 + 0*l**3 - 3*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-4)\/(-300))\/(-9*(-10)\/450)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1155 - -2650?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 778*-0.4\nAnswer: -311.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 42*d + 402. Give m(50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 98 (c) 0.2 (d) -10 (e) 0.08 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5 - 3. Let q = a + 10. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -98*s - 51. Suppose 4*h = 12 - 24. What are the prime factors of p(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 5 + 5 - 5*c. Let k(b) = -183*b**2. Determine k(t(i)).\nAnswer: -732*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 13. Suppose -42 = -r - 2*r. Suppose 2 - r = -4*h. Solve 0 = 3*f - h*a - 21, 3*a - 2 + t = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 2\/13, 552\/43, 3\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -1.1. Put -4, o, -1\/2 in descending order.\nAnswer: o, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-98)\/(1 - ((-18)\/21 + 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i*i\/((i\/i**(-1\/9))\/i)*i)\/i)*i**(-4\/9)*(i**(-1)*i)**(-48) assuming i is positive.\nAnswer: i**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 24. Let j = c + -28. Let x = 36 - j. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = -19. Let l be u\/(-2)*(-2)\/(-6). Let a(v) = -37*v - 130. Let s(w) = 20*w + 71. Let q(p) = 6*a(p) + 11*s(p). Determine q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10296370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbbcbhhbhhh. Give prob of sequence hcch.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1. Let a(t) = 15*t - 12. Let q(x) = -a(x) + 5*h(x). Let w be q(4). Let u = 155 - w. Is 33 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + 4 + sqrt(325) + 1 + sqrt(325) + sqrt(325) + sqrt(325) + 4*(1 + sqrt(325)) + -3)**2.\nAnswer: 2160*sqrt(13) + 62643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21496621 * -2\nAnswer: -42993242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -171403, -171320, -171093, -170650, -169919?\n\"Answer: 12*j**3 - j - 171414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.668.\nAnswer: -0.1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:11 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448592?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 + r**2 - r - 2. Calculate g(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3169494377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjd when three letters picked without replacement from jjdpjdddajj?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 20 = -7*p. Solve p*s = -3*l - 5, -s + 19 = -4*l + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.23 (b) 4 (c) 2\/3 (d) 5 (e) 269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 83*y**5\/60 - y**3\/6 - 2*y**2. Let t be n(-1). Suppose -2 = -3*l + t. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1197*p**3 - 46 + 674*p**2 - 1199*p**3 + 27 - 674*p**2.\nAnswer: -2*p**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12169 = -130*n + 7619 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293781341 to the nearest integer?\nAnswer: 17140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 136\/36 - 2\/(-9). Let m = 9\/10 + -47\/30. Let z be -1 - ((-9)\/(-2))\/(-3). What is the nearest to 1 in m, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h - 3*h**2 + 21*h - 35 + 4*h**2 - 2. Let c be q(3). Solve 9 = c*o + 29 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 38. Give k(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1720 = -m + 2*z, 2*m + 294 = -5*z - 3128. Let q = -1176 - m. Is 60 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 918490 = -113*t. What are the prime factors of t?\nAnswer: 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 - 48\/(-20). Let i(k) = k**2 - k - 2*k**u - 10 - 10*k. Is i(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6*g**2 + 15. Calculate k(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 10 = a + 15, -1 = -a - 4*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, 0.1, -4, 2\/3, -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -6 - 9 - 0 - -14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**5\/60 + 8*p**2 + 7*p. Let o(t) = 14*t**2. Determine x(o(j)).\nAnswer: -196*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248 (base 9) in base 7?\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 13) + -14 + -4 + 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - (-3104)\/112)\/((-3)\/(-168)*-6) + -29\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 27 - 74 = -6*d + 4*d, -4*d = -5*r - 67 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679864764.\nAnswer: 2, 3, 19, 61, 48883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.754 - -0.088. Let t = -12.014 + x. What is t rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(245) - 1*sqrt(245))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 487 and 304375?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.3, 0.373, 7\/22 in decreasing order.\nAnswer: 0.373, 7\/22, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**3*w**4 + 55*i**3 - 347*i*w**4 - i*w**2 - 1 wrt w.\nAnswer: -168*i**3*w - 8328*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = -12. Suppose -3*m + 3*d + 1 = 4, 3*m = 4*d - 2. Let y = m + z. What is the highest common factor of y and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**6\/720 - p**5\/120 + p**3\/2 + 9*p**2. Let x(b) be the first derivative of y(b). Factor x(u).\nAnswer: -u*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25436004 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 615*z**3 + 896*z**3 - 1.\nAnswer: 1511*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-28)*(-14)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108960 or 108972?\nAnswer: 108972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + 16 = 0. Suppose -5*y + 2*j + 7815 = 0, -f*y + 2*j = -0*y - 6254. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 23569201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1331211*q - 1331244*q + 710 - 710.\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 32 = n. Suppose -4*x = x + 2*j - 20, 0 = 3*x + 5*j - n. Differentiate 0 - 5 - w + 2 + x with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6574671 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4848 by 11.\nAnswer: 4848\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**2\/2 - 8*w - 287. Suppose -2*c = -n + 1 - 13, 3*c = -n + 13. Calculate l(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 573432 and 1083.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -1020\/959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8398900?\nAnswer: 2, 5, 47, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from pogdx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1366137 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = 4*o - 0*o. Suppose -5*r - a = -o, -48 = -3*r - 0*a - 4*a. Suppose 2*f - 43 = -2*u - 3*u, 4*u - 2*f = r. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(34\/(-153)). Let f = h + -8\/3. Is 1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11414.\nAnswer: 2, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u + 14 = 5*s - 27*u, 2*s = u + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11. Let g = -23 - -69. Let b(z) = g*z**t - 83*z**2 + 40*z**2. Let q(d) = -4*d. Give b(q(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/2)\/((-29315)\/2662 + 11) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 + 0.6. Let p = -1\/1079 - 2153\/5395. Which is the nearest to p? (a) -0.3 (b) -15\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {x: 2, p: 4, i: 3, o: 2, h: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 369?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 11. Are n and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - s - 3*s + 6*s to the form z + o*s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/4 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(66)\/(3*sqrt(2))*6)\/((2*sqrt(77))\/sqrt(7) - -4*sqrt(44)\/sqrt(4)).\nAnswer: -4 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 7 (c) -185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14367739937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 19403370.\nAnswer: 19403370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*w + 11, 0*w = 2*s + 3*w - 1. Sort 12, s, 1 in decreasing order.\nAnswer: 12, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*c + 19*c**2 - 46*c - 39*c - 2.\nAnswer: 19*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 654 - -285. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203)\/38 + (-1134)\/7182?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n - 5. Let k(v) = -5*v + 2. Let w(g) = -5*k(g) - 2*p(g). Suppose -j + 235 = 119. Let c(d) = 58*d**2 - j*d**2 + 62*d**2. Calculate w(c(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/9)\/14 + 8 + -8)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169247, 169177, 169109, 169043, 168979, 168917, 168857?\nAnswer: 168799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -163*k**2 + 3*k + 7. Let i(j) = -488*j**2 + 9*j + 20. What is 6*i(u) - 17*s(u)?\nAnswer: -157*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 + 19*s - 9. Let b(m) = 2*m**2 - 4*m + m**2 - 2*m**2 - m + 2. Let h(p) = -9*b(p) - 2*i(p). What are the prime factors of h(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-10))\/((-2)\/10). Let s = -6 - w. Factor s*t + 0*t + 5*t**2 - 3*t - 2*t**4 + t**5 - 3*t**2.\nAnswer: t*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 22*b**7\/105 - b**4\/6 - 7*b**3\/6 + 121*b**2. Find the second derivative of x(n) wrt n.\nAnswer: 528*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddduddddd. Give prob of sequence du.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 1 - 8*z**2 + 12*z**2 in the form b*z**2 + t + p*z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3787518 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.462? (a) 0.01 (b) -0.1 (c) -1 (d) -136 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*d + 84. Let m = d - 13. Let y = -5 + 3. Which is bigger: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 29.1594.\nAnswer: -116.6376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1426)\/598)\/(3\/(-39)) + 6.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - y + 3. Let b be j(-4). Let z be 2*b\/(-12)*2. Solve -5 = 2*q + z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.484 and 5.\nAnswer: 3.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*-4*sqrt(162) + ((-2*sqrt(162) - sqrt(162) - sqrt(162)) + 0 - sqrt(162)*-1*4)**2.\nAnswer: -108*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x + 2. Calculate l(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 - -254. Let v = p - 78. Let l(f) = f**2 - 17*f - 23. What is the remainder when v is divided by l(19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 - 224*w**3 - 468*w**2 + 224*w + 464 = 0.\nAnswer: -2, -1, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.7362 rounded to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/18 and 35\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -178 divided by -1848\nAnswer: 89\/924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:27 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (164\/123)\/(66\/(-9)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -6, -108 in descending order.\nAnswer: -6, -43, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1 - (-5 - -4). Let c(y) be the third derivative of 0 - 1\/12*y**4 + 0*y**5 + 0*y**3 + 0*y + 1\/60*y**6 + y**b. Factor c(u).\nAnswer: 2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8440356809 rounded to three dps?\nAnswer: 0.844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 17, -4, -10 in descending order.\nAnswer: 17, 5, -2, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (23 + -26 - -44).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 11. Give u(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 0, -2 in ascending order.\nAnswer: -11, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 12*o - 2. Calculate d(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 19 + -8 + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 + 8 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1918*w + 3 + 18*w**2 + 4*w**3 + 1934*w - 5*w**3 + 60. Calculate d(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 10*u**2 - 10*u - 4. Let t = -1081 + 1072. Determine o(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 2208?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/40 - 9*y**5\/20 + 11*y**4\/4 + 81*y**2. Let k(t) = 0. What is t?\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3060 and 1164060.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 + -0.17. Round b to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlq when three letters picked without replacement from {q: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p. Let n(q) = -10*q**2 - 7*q - 7. Let b(v) = -3*v**2 - 2*v - 2. Let a(w) = 21*b(w) - 6*n(w). Give a(d(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 103*j**2 - 6*j + 3. Let f be a(-6). Let h be (f - -3)*(-8)\/(-3). What is h rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 10*r - 61 = -52*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 87248\/164 + 0\/(-2) + -2. Let f = b - 529. Let z(j) = 5*j**3 + j**2 - j + 1. Determine z(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246973709.\nAnswer: 41, 103, 233, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5856)\/(-240))\/((-14)\/35)*(-2 + 1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5119212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850776 is divided by 1850673?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 7. Let w be a(4). Suppose 5*k - 3*t + 42 = 0, 2*k - 2 = w*t - 26. Let c(m) = m**2 + 6*m + 2. Calculate c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 3*a - 9. Let i(n) = -57*n**2 + 27*n**2 - 17 + 6*n + 23*n**2. Let u(o) = 2*i(o) - 5*z(o). What is the units digit of u(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from isssissiissi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-12880))\/(-3 + (-23)\/(-8))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*l + 10 = 0, -2*f + 15 = 3*f + 3*l. Let r = -11 - -11. Is f <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -27 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3 - 422*y**2 - 2568*y = 0.\nAnswer: -6, 0, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 4. Let a be z(-6). Let d(c) = 6*c**2 + 2*c - 3. Let i be d(a). Let g = 70 - 64. Solve -j = -g*j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 164*a**2 - 71 wrt a?\nAnswer: 328*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-3 - -2) + -2. Let u be x - (-2 - -3)*-1. Sort u, 5, 3.\nAnswer: u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 438199532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*q - 194*q + 221*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 367.8 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 0.3, -2699, 3 in descending order.\nAnswer: 3, 0.3, 2\/19, -2699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 111\/26, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3374280 and 17304?\nAnswer: 3374280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -9 - 2\/1. Let u = x - -6. Suppose 4*h = -5*t + 747, 2*t + 0*t - 3*h - 285 = u. Calculate the greatest common divisor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*z + 14 = r, -22 = -5*r + 4*z. Let a = -2 + r. Let o(c) = -c + 6. Let h be o(a). Solve w + h*w = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111200210212 (base 3) in base 4?\nAnswer: -3003210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -718 + 729 + (-30 - (1 + 0))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3598912 and 41\/16976.\nAnswer: 3598912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5\/4, 0.4, -42, -2\/3, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d + 16. List the prime factors of c(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7260517 months in years?\nAnswer: 0.227170975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 361, 290190 in ascending order.\nAnswer: 1, 361, 290190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 1, p: 1, v: 1}. Give prob of sequence pg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.301? (a) -2\/7 (b) -1.8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397729727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370009591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-45) + (-7)\/((-210)\/2736). Let h(q) = 44*q + 49*q + 1 - t*q + 1. Let b(f) = -f**2 - 5. Let d be b(0). Calculate h(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let b(s) = 735934*s. Calculate b(u(f)).\nAnswer: 1471868*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4459177 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 = -3*x. Let o(g) be the first derivative of -g**3\/3 + 9*g**2\/2 - 8*g + 1. Let t be o(8). Sort t, x, 5.\nAnswer: t, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83484 and 486.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9679*t**2 - 20623*t**2 + 10050*t**2.\nAnswer: -894*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*z**2 + 2033 + 2000 - 4033.\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-172)\/(-10))\/(6\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - 0.13. Which is the nearest to -1\/2? (a) 3 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Let c = -4 + r. Let d = c + 2.5. What is the biggest value in 5, d, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2747.4 times 62.3\nAnswer: -171163.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g - 10*g + 2*g**2 + g**3 + 32186 - g.\nAnswer: g**3 + 2*g**2 + 2*g + 32186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 455?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.411 * 8.\nAnswer: 51.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -97\nAnswer: -5\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -z + p - 15, 5*p = 2*z + 15. Let v be (2 - (-24)\/z) + 0. Let s = 2 + -2.5. Which is the nearest to v? (a) -5 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*0 - (-3507)\/(-2338)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6093577s?\nAnswer: 609357.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 375. Suppose u = -0*u - x. Let k = 505 - u. Round k to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -83, 54\/163, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32282, -3, -5, 33, -4, 5 in increasing order.\nAnswer: -32282, -5, -4, -3, 1, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 12*f**2 + 13*f - 1. Suppose -n + 2*j + 66 = n, -5*n - 2*j = -165. Suppose -4*s + 2*y = -s + n, 3*y - 30 = 3*s. Let u be r(s). Is -4 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027801 to 6 dps.\nAnswer: -0.000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 24 = -6*g. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -383764, 3, -3 in decreasing order.\nAnswer: 3, -3, -383764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300\/54)\/(-5) + (-8 - (-1490)\/45).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-8)*2)\/(14\/28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/255 and -163\/300.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.04, 126, -0.01, -10?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**2 + 42*j + 25 + 0*j + 3*j - 12*j - 3*j = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3299527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16184*y + 111664. What is n(-7)?\nAnswer: -1624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.05, 107.302, 0.118?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (-5 - -158)\/9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2 + 449*p\/4 + 28 = 0.\nAnswer: -112, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -35416 less than -443373456?\nAnswer: -443338040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7929685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 13 - 2. Suppose 5*w - 55 = -5*x, 0 = 3*w - f*w + x + 13. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10928470 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 value of 2\/4*(6 + -8 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {h: 1, c: 1, k: 5, a: 1, g: 7, f: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 11 (b) -8\/99 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 6)*(x - 2*x - x) + 0 + 0 - 2*x + 4 - 1 + 2*x - 4 as q + v*x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2538\/135*10\/4. Is 49 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -75 (c) 0.1 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 5 + 3*y**2 + 4 + (-4*y + 4*y + 2*y)*(-2*y - 1 + 1) + 5*y**2 + y**2 - 3*y**2.\nAnswer: 2*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + 8\/2 - -14)*5 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.8 + 61. Let w = 5 - t. Let v be (-3)\/10*35\/(-42). Sort v, w, -0.3 in increasing order.\nAnswer: -0.3, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -54*w - 1. Suppose -4*f + f = 3. Is n(f) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2651377 by 1.\nAnswer: -2651377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 59. Let v(z) = -954*z - 21889. Determine -742*p(w) + 2*v(w).\nAnswer: -3392*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 0 - 10*t + 9 - 2*t**2 - 2 + 5. Let b be y(-6). Solve 0 = -4*c - b - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.1 * -0.12.\nAnswer: 1.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266633915 by 53326783.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -272805.08 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 100693, 201336, 301979, 402622, 503265, 603908?\n\"Answer: 100643*i + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 1\/5 (b) -0.4 (c) 8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 5*t**2 - 6*t + 5. Let r be f(-6). Let o(c) = 6 - 2*c + 3*c**2 - 1 - 2*c - 2*c**2. List the prime factors of o(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 36.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 9 = -2*u + 3*z, -u = 5*z + 2. Differentiate 4*f**2 - 5*f**2 - u*f**2 + 5 wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-102)\/20 - (-4 + -1). Which is the third biggest value? (a) -3 (b) -2\/11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*z**3 - 145*z**3 + 80*z**3 + z + 13*z**2 - 8 to f*z**2 + o*z**3 + i + t*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1396565*c*p**3 - 195377*c*p**2 wrt p.\nAnswer: 8379390*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - 101525?\nAnswer: -101553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64357, -64355, -64353, -64351?\nAnswer: -64349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*w = -12, d = -10511*w + 10515*w - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4*f**2 + 4*f - 3. Let k be g(3). Suppose -2*i - 12 = -4*m, -5*m + 23 = -i + 5. Solve i*h = 6 - k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.81131 decades in millennia?\nAnswer: 0.0281131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a**2 + 3*a. Let t(m) = -16*m + 2. Give t(k(o)).\nAnswer: 96*o**2 - 48*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3775 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-130)\/(-48)) - -2. Let i be 795\/(-477)*6\/(-5). Factor -p*f**4 - 4\/13*f + 0 - 10\/13*f**i - 8\/13*f**3.\nAnswer: -2*f*(f + 1)**2*(f + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2, -2, 412766, 1 in increasing order.\nAnswer: -2, -1, 1, 2, 3, 412766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25712 is divided by 717?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 72. Let d be (-21 + 1)\/(g - 5). Which is bigger: 12 or d?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2)*(-4 + 18). Let r = 23 + i. Sort 0, r, 5 in descending order.\nAnswer: 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by 1?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 206.213422.\nAnswer: -206.113422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 27, 4, -6, 23, 11, 1 in decreasing order.\nAnswer: 27, 23, 11, 4, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*g - g. Suppose -3*o = 2*q + 20, -o + 5*q + 1 = 2. Let w be g\/(-4) - (-3)\/o. Solve 3*u + 0*u + 15 = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + 32*q + 64. Determine r(13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 7 - 27 - 6*s**2 - 6.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 0*u**2 + 0 + 3*u - 1\/3*u**3. Let h(i) = -40*i - 88. Let g(x) = x + 2. Let w(b) = -88*g(b) - 2*h(b). Give d(w(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**3\/7 - 4731*i**2\/7 + 98088*i\/7 - 93360\/7 = 0?\nAnswer: 1, 20, 1556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341 divided by 341.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*r**2 - 40*r**2 - 237*r**2 to k + p*r + d*r**2 and give d.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88394314*p**4 - 1295797871?\nAnswer: -353577256*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - -5705.\nAnswer: 5703.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 2. Let a be -3*(-3)\/g*12. Calculate the common denominator of 46 and (147\/24)\/((-9)\/a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-8))\/((-6)\/24). Let s = v + 83. Suppose 2*h - s = -f, 3*h + f + 148 = 7*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 + 4*g - 11. Is 13 a factor of t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270923437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280826.\nAnswer: 2, 7, 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30611 and 406689?\nAnswer: 2846823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6662 divided by -14.\nAnswer: 3331\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8566*c = 8136*c + 8170 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 24 - 24.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f = -41*f + 21910. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 12:15 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 2*l + 8. Let h be t(0). Suppose -110 + h = -3*i. Suppose -k - 4*k = -5*d - 30, -d = 3*k - i. What is the remainder when 27 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from eeyboeeybyb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 4. Let b be a(4). What is the third derivative of -5*l**2 - 3*l**5 + 0*l**4 + 5*l**b - 5*l**4 wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 525\/4 + -655\/4. Let y(p) = -p**2 + 11*p + 2. Let l be y(6). Let s = b + l. Put 0.4, -5, s in descending order.\nAnswer: 0.4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43099731*m**4 + 186*m**2 + 116*m + 380.\nAnswer: 1034393544*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 24783*x\/5 - 223128\/5.\nAnswer: (x - 9)*(x + 24792)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + 0*c**4 - 3*c**4 + (18*c**3 + 29*c - 29*c)*(-c - c + c) in the form d + y*c**2 + s*c + n*c**3 + q*c**4 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 7. Let p = 3.3 + -3. Which is the nearest to j? (a) 2\/7 (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - -16c?\nAnswer: 15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12415038 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 292 = v + 109, -5*v = -i + 85. Suppose 3*t = -t + i. Suppose 3*m + 5 = t. Sort 2, -3, m in decreasing order.\nAnswer: m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 6*d + 6. Let t be g(-6). What is the greatest common divisor of 42 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k + 15 - 80 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*o + 3*q, 0*o = -4*o - q + 20. Let u = 6.6 - -0.6. Let f = -7 + u. What is the closest to 2 in 3, f, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyyxqlpqxqcqyxqlql. Give prob of sequence py.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 34*v - 263. Calculate y(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 5:10 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + y - 8*y + (2 - 4 + 1)*(-3*y - y + 2*y) - y + 2*y + y - 4 - 21*y + 4 - 3*y + y + 3*y + (4*y - 3*y - 2*y)*(2 - 1 + 1).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 15*z**2 - 15*z - 10. Let h be l(16). Let x(g) = -2 - h*g + 5*g + 8*g. Let r(n) = 20*n - 5. Let a = 45 + -62. Give a*x(k) + 6*r(k).\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:01 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8 + 320*z**2 + 409*z**2 - 207*z**2 - 60*z + 180*z**2 + 104*z**2 wrt z?\nAnswer: 1612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -37. Does 8 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1626, -3251, -4876, -6501, -8126?\nAnswer: -9751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163 - -668. Suppose 3*q - 4*q + 175 = -5*x, 3*q - 5*x - j = 0. Calculate the greatest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18))\/(48\/(-1584))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 0)*-3*-4*2 + -1)**2.\nAnswer: -384*sqrt(11) + 405505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.570000351 - -0.57. What is p rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5*b - 6 + b)*(0 - 1 + 5).\nAnswer: -16*b + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698 = 16*y + 515 + 375 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6142973 and -1769.\nAnswer: 6141204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114644973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36 + -33)*2\/4. What is the biggest value in -19, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -88962076.2.\nAnswer: -88962076.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25\/19 or 2\/527?\nAnswer: 25\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(119) + (-1*sqrt(119)*5 - sqrt(119)) - (1*sqrt(119)*-2 + sqrt(119) - sqrt(119)))\/(sqrt(252)*6*3))**2.\nAnswer: 6497\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364974 = 1174*k + 2078*k + 2934*k for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 6*w**2 + 2*w - 1. What is l(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*m - 4, 2 = d - 3*d. Let p(s) = 5 + 3*s**m - s + 0*s**2 - s**2 - s**2. Calculate p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13714933555093*i + 13714933555093*i - 4*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5560 + -5560.3. Which is the nearest to 7? (a) o (b) -2\/5 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)*b)\/b)**(2\/15)*b*b**(1\/4)*b*b**2*b)**(-2\/57) assuming b is positive.\nAnswer: b**(-307\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**3\/6 - g**2 - g. Let j be l(-5). Suppose q - j*q = -34. What is the remainder when 49 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*j + j - 153 = 0, -5*k + 4*j = -393. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 11*x + 5. What is y(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-4)*(-105)\/((-38220)\/104)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 20 = 5*a, -3*p + 22 - 7 = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*m + 31 = -15, -3*m - 64 = -5*i. Suppose i*q = 15*q - 6. Solve 0 = -q*o + 2*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 + 52*z**4 + 338*z**3.\nAnswer: 2*z**3*(z + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81440177 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -15. Calculate the remainder when 21 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + h = -2*l - 2371, -4*l - 3*h + 2359 = 0. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2. Let r(z) = 1752*z + 31. Let b(y) = 610*y + 11. Let c(i) = 17*b(i) - 6*r(i). Give u(c(q)).\nAnswer: 40328*q**2 - 568*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 40 + 158. Let t = 69 + b. Solve 5*o**3 - o**4 - 4 + 5*o**2 - o**5 + 3*o**3 - 4*o**3 + o**t - 4*o = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) 6 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22574, 45150, 67724, 90296, 112866?\n\"Answer: -f**2 + 22579*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q**3 - 115*q**2 - 52*q - 23. Let p be k(-10). What is the biggest value in p, 4\/9, 2\/3, 0.374?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 142*n**2 + 144*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10499 is divided by 2533.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 7*n**3 + 55*n**2 - 110*n**2 + 30*n**2.\nAnswer: -5*n**3 - 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 2*b + 1. Let w be j(2). Let y(l) = 19*l**2 + l - 1. Let r be y(w). Let h = r - 13. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9142096 and 2.\nAnswer: 9142098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 278 + -587. Is o\/(-6)*(2 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 9, 7, -9, -45?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(-1*sqrt(500))**2 - ((sqrt(125) - sqrt(125)*-2)\/sqrt(5))\/(4*sqrt(20)\/sqrt(4)).\nAnswer: -2995 - 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/4 + 12\/(-16). Suppose z + 71 = -p*g + 3*z, -5*z + 5 = -g. Let w = 18 + g. Solve -w*f = -6, -3*f = -h - 2*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7744363 a multiple of 1306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*y - 24 = 417*y - 3*p, p = y + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126012 and 18920?\nAnswer: 596036760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyye when four letters picked without replacement from eyeyyye?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/13149 and -71\/17532?\nAnswer: 52596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-36438)\/(-12766) + 194\/1261 - 3. Is g != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 + 892*y**2 + 567*y + 8400. Determine h(298).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117269550 and 7428.\nAnswer: 234539100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - 1 + 580*k**4 - k**2 - k**3 - 586*k**4 + k**2 to the form o + t*k**2 + a*k**3 + r*k**4 + b*k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-5))\/((13\/(-2))\/(1235\/(-190)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.7, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2. Let k(u) be the second derivative of -3*u**3\/2 - 3*u**2\/2 + 7*u - 9. Determine k(z(b)).\nAnswer: -18*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 4. Let a(d) = 2*d - 7. Let r be a(8). Suppose -g - 4 = -r. What are the prime factors of n(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 26760*l + 0*l**2 - 26852*l)*(2*l**2 + 4*l**2 - 4*l**2).\nAnswer: -2*l**4 - 184*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455169675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roxx when four letters picked without replacement from oorxroxooorxxo?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8 + -2. Let j = k - -0.2. Let r = j + 3. Which is the nearest to 2? (a) r (b) -2\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a - 302. Let j be v(-62). Solve -j = 115*n - 113*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69177*n**2 + 159505*n wrt n.\nAnswer: 138354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8632*u = -4*z - 8629*u + 22, 2*z = 5*u + 32 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-10 - ((4 - 83) + (44 - 58)))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = w - 6*y, -4*w + 4489 - 4519 = 2*y for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -180855 divided by -60285\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + s - 8. Suppose -o = 10, -2612 - 939 = -3*m - o. What is the remainder when m is divided by p(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*((-2 - o**3 + 2)*(-2 + 0 + 1) + 0 + 0 + 3*o**3)*(-1206 + 711 + 779) as m*o**2 + y*o + g + n*o**3 and give n.\nAnswer: -2272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) 4\/9 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/4 - w**3\/2 - 4*w. What is the tens digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -6 - -6)*50\/(-3). What are the prime factors of (-2030)\/28*(-5)\/(x\/(-64))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z = -2*s - 20, -5*z + 3*s - 27 = 0. Is z at least -74\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(-1)*-10. Let x be ((-2)\/3)\/((-6)\/(-18)). Which is the nearest to 0.1? (a) i (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(3\/7)*d*d*d\/(d\/(d*d\/d**(1\/20)))*d*d**(1\/37)*d**(-24\/5))**(18\/13) assuming d is positive.\nAnswer: d**(74853\/33670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -12*u**3 - 92*u**2 - 128*u - 48 = 0.\nAnswer: -6, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2928 = 4*c + 4*v + 1880, -4*c + 4*v = 4768. Calculate the smallest common multiple of (-2)\/(-4) - c\/38 and (-2*2)\/((-2)\/3).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 124800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 + 54*k**3 - 522*k**2 + 2114*k - 2940 = 0. What is k?\nAnswer: 3, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2 + 53570372*u - 358723094527298 = 0.\nAnswer: 13392593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:27 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:32 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19 and 3920.\nAnswer: 3901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1570434748 to the nearest integer?\nAnswer: 39629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72642 is divided by 4272?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-636219\nAnswer: 190865.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2\/3 (c) 3\/5 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 94*r**2 + 1 - 3*r + 183*r**2 - 91*r**2. Let o(j) = -6*j**2 - 2*j + 2. Suppose -3*h - 6 = -6*h, 0 = -3*m - 5*h + 1. What is m*o(c) + 8*q(c)?\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-735)\/(-10) - (-1)\/2.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-285)\/(-9) - (-16)\/(-6)*(-152)\/(-608)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, -135, -751, -2005, -4107?\n\"Answer: -35*w**3 - 4*w**2 + 69*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1066.1508 nanoseconds?\nAnswer: 0.000000000296153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4123213 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 2447810*i**2 + 4896139*i**2 - 2447598*i**2 + i.\nAnswer: 731*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-8)\/12 + 1. Let i(b) = b**3 + 2*b**2 + 5*b - 5. Let y(x) = x**3 + 2*x**2 + 4*x - 4. Let w(l) = o*y(l) - 4*i(l). Factor w(k).\nAnswer: k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (38 + (29 - 18))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from wjnox?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 237461976074 take away 4.4?\nAnswer: 237461976069.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x - 121. What is j(30)?\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**3\/3 - 4*c**2 - 4*c - 3. What is m(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*w - 2920000 = 0, 22*m + 5*w + 584000 = 21*m. Round m to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 1305 + 1735 = 0. Calculate the remainder when 151 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4049648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d + 4*x = 21, 0 = -3*d - x + 8. Let b(c) = c**2 + 1. Let r(i) = -4*i**2 - 2*i - 3. Give d*r(u) + 3*b(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -17*v + 14*v - 1788, 0 = 3*v - 12. Let h = f + 989. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012 take away 1836.2812341?\nAnswer: -1836.2932341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22100121122010 - 0?\nAnswer: 22100121122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 115329.\nAnswer: -11532.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1161790475 to the nearest integer?\nAnswer: 34085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12481? (a) 0.3 (b) -23.6 (c) 1\/2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:16 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-76265)\/245)\/((-1)\/21)?\nAnswer: 3, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 - 10*i + 1. Let v be f(-2). Let d be (-5)\/v*(-1 - 15\/(-25)). Let l = 5\/4 + -17\/20. Which is the closest to -5\/2? (a) -0.1 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-65 - -5)*(-78)\/117. Solve 77 = s*h - 163 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 2*o + 3. Let f(j) be the third derivative of 7*j**4\/3 + 197*j**3\/3 + 53*j**2 + 2*j. Let y be f(-7). Give p(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.6583+-74\nAnswer: -64.3417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 323 + -103. Suppose -a - 4*a = -q. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.1, 4, 10849, -9\/10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4*((-8)\/(-44))\/((-48)\/(-22)))\/(11\/(-924))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 546.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**4\/36 - p**3\/3 + 4*p**2\/3 + 50*p - 9. Let w(l) be the first derivative of b(l). Factor w(x).\nAnswer: (x - 4)*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3140 = 63*z + 137*z - 43*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + (-2 + 3*(-2 + sqrt(432)) - (3*sqrt(432)*-6 + 0)))**2.\nAnswer: -2016*sqrt(3) + 190531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -23. Let i = 229.57 + -240.623. Let f = i - c. What is f rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (601 + -613 - (4 - (0 + 1)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4736*i - 1. Let z(w) = 3*w**2. Give z(n(y)).\nAnswer: 67289088*y**2 + 28416*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((667\/203)\/(-23)*7\/(-10))\/((-12)\/(-820)).\nAnswer: 41\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*d - 40 = -4*l, -5*l + 30 = -d. Suppose 79 - 209 = -l*u. What is the smallest common multiple of u and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 14*y = -88. Let -3*w**4 + 7*w**4 + 0*w + 4*w**3 - 6*w + 2*w - 12*w**2 + y = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 931, 935, 939, 943, 947?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -172.206 and -0.0268574976.\nAnswer: -172.2328574976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51434 - -7?\nAnswer: 5143b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -486 + 186. Calculate the highest common factor of q and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-24)*-2*-3. Which is the second biggest value? (a) d (b) -0.03 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9701852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.4, -0.5, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.4, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 10)\/(4\/2). What is the second derivative of -7 - 4*c + 5 + 3*c**j + 2 wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/(-56))\/((-1)\/(-12)). Let q(m) = 7*m + 13. Let i be q(-3). Let t be 20\/i*2\/(-1). Solve k*d + 2 = t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 18*n**2 - 20 - 52*n**2 + 451*n - 451*n + (-4*n**2 - 2*n**2 + 4*n**2)*(-1 + 0 + 2) as k + w*n**2 + p*n and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrjbrjjrbjjjrbbnrbg. What is prob of picking 1 j and 1 g?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*((j*j**(-1\/21))\/j*j)\/j)*j\/(j*j**(-15)) assuming j is positive.\nAnswer: j**(316\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4 - 2*s**2 + 3*s**2 - 134*s**5 + 3*s**2 - 4*s**3 + 262*s**5 - 127*s**5 = 0. Calculate s.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 3*b. Let u be 39\/(-12) + (-2)\/(-8). Suppose 5*q + 4*c = 120, 4*q + c = 5*c + 60. What is the smallest common multiple of l(u) and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1.198?\nAnswer: 1.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l. Let w(n) = 7*n**2 + 86. Give w(z(g)).\nAnswer: 63*g**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1700786\/123 + -13828. Is 0 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m**2 + 2*m - 16. Is w(4) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 25 + 9 = -c. Let v = -10 - -23. What is the greatest common divisor of c and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 29*z + 35. Let w = 91 + -106. List the prime factors of m(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-12))\/((-3)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and -0.0944.\nAnswer: -0.1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -0.3 (c) -61.1 (d) 0.5 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3*n - 5*n + 2*n**3 - 2 - 1 as u + g*n**3 + i*n**2 + w*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4643 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*q - 25, 3*q = 3*o - 5*o + 11. Let g be (9 - 1) + 28\/(-14). Let b = g - 5. What is the remainder when b is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227351 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329842 is divided by 121?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 322*h + 107. Let k(q) = -54*q - 18. Let v(m) = -26*k(m) - 4*u(m). Find i such that v(i) = 0.\nAnswer: -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(4 - 6\/3). What is the common denominator of -33\/16 and (2 + w)\/(36\/47)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Suppose 2*f - 2 - 2 = s. Let -4*i**3 - i**2 - 6*i + f*i**3 + 0*i**2 - 2 - 5*i**2 = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let u(k) = -2*k + 8. Let d be u(3). Let w = d - f. Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 5*n**2 + 66*n - 87. What is t(0)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 - 9*j**2 - 15*j + 13. Let g(d) = -2*d**3 - 4*d**2 - 7*d + 6. Give 9*g(k) - 4*w(k).\nAnswer: -2*k**3 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7193 + 7195. Sort k, 4, -1, -5.\nAnswer: -5, -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801529.11 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**2 + d**2 + d**2)*(4 - 4 + 38*d - d) + 33*d**3 - 7 + 7 to the form l*d + h + t*d**2 + p*d**3 and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 813.4788 micrograms in grams?\nAnswer: 0.0008134788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11724 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*w - 1)*(0*w + w + 2*w) + 0 + 0 - 2*w**2 + (-w + w + w)*(-5*w + 0*w - 2*w) + w**2 - 3 + 3 + w**2 - 2 + 2 + (-w + 2 - 2)*(-2*w - 5 + 5).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 5. Let s be g(-7). Is (s - -2) + -3 + 54 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((0\/(-4)*1)\/1)\/(-1). Suppose h = -11*j + 9 + 24. Calculate the remainder when 80 is divided by 1 + 18 + -1 + j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 460836005 or 460836003?\nAnswer: 460836003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -0.01, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 + d**3 + 2*d**3 + 0*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 + -77. Sort 2, n, -11 in decreasing order.\nAnswer: 2, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/12 and 121\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 19 = -14*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119991281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2942018480 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64867 - -64866.9999965353. What is n rounded to 7 decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -51 - (24\/(-14) - 4\/14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbrb when four letters picked without replacement from {b: 6, r: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4928813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 394165103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**6 - 1156664*l**5 - 9*l**2 - 228589*l + 7 wrt l.\nAnswer: -960*l**3 - 69399840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 11*m - 5*q = -55, 3*q = -5*m + 81. Solve -5*t - 14 = r + 5, 3*r - m = 3*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-369)\/246 + 2\/4*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/6 - 2*n. Let b(w) be the first derivative of w**3\/3 + 3. Calculate r(b(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 127*d**2 - 2*d + 253. Calculate h(127).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 3}. What is prob of picking 3 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/6083 - -97331\/18249. Find q such that -f*q**3 - 16\/3 + 12*q + 14*q**2 - 2*q**4 = 0.\nAnswer: -4, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -78 + -1073 + 1067 - -27.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38088691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -a30a85 (base 11) in base 6?\nAnswer: -55253240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51 - -9 - ((-1 - -10) + -4) - 10\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by -1?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 = x, 18*h - 17*h = 0. Let v(g) = -146*g + 25. What is the tens digit of v(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 304 + -302. Find the second derivative of -r*m - 157*m**3 - 9 + 7*m**3 + m wrt m.\nAnswer: -900*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-90)\/(-27) + -3)*(0 + -3). Suppose 2*c + 32 = -2*c. Let k be ((-2)\/12)\/(c\/(-36)). What is the nearest to a in -1\/5, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, d: 1, m: 3, x: 1, a: 1}. What is prob of sequence axm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2015 in 6\/5, -4, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - 5*z + 9. Let x(b) = 2*b**2 - 3*b + 5. Let h = 28 + -23. What is h*x(c) - 3*g(c)?\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 18 - 3*c**2 + 35.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 255*k - 408. Let a(i) = i - 2. What is -612*a(q) + 3*n(q)?\nAnswer: 153*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 37. Let f be (-4)\/(28\/b) - (-45)\/(-7). Let o(m) = -m**3 - 5*m**2 + 6*m - 5. Calculate o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**2 - 4*h + 111. Let a be j(6). Let g = 12110 - a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {k: 2, c: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296 and 144152.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.7 - 13. Let l = 1 + -3. Let d be 150\/(-42) + 33\/(-77). Which is the smallest value? (a) l (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(sqrt(567)*1 - sqrt(567)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6) + -1)\/(342\/513)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 6, -187 in decreasing order.\nAnswer: 25, 6, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5527117721*p**3 - 5 + 5 + 5527117714*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -752408, -1504829, -2257260, -3009707, -3762176, -4514673?\nAnswer: -5267204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4613*y + 0 + 4614*y - 3 + 4. Let h(c) = -6*c - 5. Let r(l) = h(l) + 5*m(l). Let q(n) be the first derivative of -30*n**3 + 1. What is r(q(b))?\nAnswer: 90*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5512924 to the nearest integer?\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 2377 = 2292 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 25, -120, -411, -896, -1623, -2640?\n\"Answer: -8*p**3 - p**2 + 12*p + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)*g**(-16\/7) assuming g is positive.\nAnswer: g**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12276 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 43 = 2*r, 4*g = -5*r + 95 + 32. What is the remainder when r is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/5)\/(x*x*x**2)*(((x**0\/x*x)\/x)\/x)**(-3\/13) assuming x is positive.\nAnswer: x**(-217\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 52. Suppose -r + 2*x + 160 = 0, c = 4*r + x + 29 - 651. Suppose -n + 2*v = -51, 3*v + r = 4*n - n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 7. Let t = -1 - -6. Suppose -2*m - 4*h = 29 + 9, t*m + 5*h + 70 = 0. Let y be a(m). Do -3 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 + 174\/(-24). Let k be 5\/l - (-4)\/(-14). Let t be -8*k\/(0 + 2). Solve -t*f + 2 = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = v. Suppose -v*f + 11*f = 0. Solve 4 = 4*s - f*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 613 - 204. What are the prime factors of v?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/24, 1, -4\/33 in descending order.\nAnswer: 1, 1\/24, -4\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 74*i + 329 + 1142 = -671 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.40921 to two decimal places.\nAnswer: -2.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (90 + 92 - 171)*(-r + 8*r - 2*r) to the form c + k*r and give k.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 1074 = 2654. Suppose s - 294 = -a, 3*a - 414 = -s + i. What is the remainder when a is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 22 = 3*o. Suppose 3*s = o + 2. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c - c)*(-112*c**2 - 3680*c**3 - 3665*c**3 + 7337*c**3).\nAnswer: 24*c**4 + 336*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 167237446 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d + 20*h + 273 = 18*h, 3*d + 3*h + 36 = 8*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 1)*(53*m**2 + 5*m**2 + 20*m**2).\nAnswer: 156*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3 + 4*x**2 + 8*x = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8216 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.335 - 0.665. What is the closest to 9\/5 in 0.1, -3, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/2 - (-505)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h**2 + 4 + 13*h**2 - 24*h**2 + 26*h**2.\nAnswer: 37*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000101010001101100 (base 2) to base 12.\nAnswer: -223ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 13*k**3 - k**2 + 3*k - 4. Let w be z(2). Let f = 106 - w. Let 0*o + 1\/2*o**3 + 1\/4*o**f + 1\/4*o**2 + 0 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4368261719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18044734027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -807*l**3 + 455 wrt l?\nAnswer: -2421*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.3. Let b be 6\/4 + (-3)\/(-6). Suppose 1 = 4*d + 7*j - b*j, 0 = d - 3*j - 13. What is the closest to 1\/2 in d, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -5. Let r = -0.07 - -0.07. What is the closest to r in p, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32.29 + -50.2. Round b to one dp.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j + 0*j)*(-j**4 - 3*j**2 + 3*j**2) + (-1 - j**2 + 1)*(4*j**3 + 0*j**3 - 3*j**3).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**0*v*v**(2\/3))\/(v*v**0)**(-42))\/((v**0)**(-13)\/((v\/(v\/((v\/(v\/(v*v\/(v*v*v**(-3\/8)))))\/v))*v)\/(v*v*v*v**(1\/7)*v*v))) assuming v is positive.\nAnswer: v**(6871\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 39581470 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/2 - 23*t**4 + 249*t**3\/2 - 155*t**2 - 98*t + 204.\nAnswer: -(t - 2)**3*(t + 1)*(t + 51)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 4*s + 3. What is z(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 4*r**2 + 9*r - 28. Let w be l(4). Let o(n) = -7*n**2 - 4*n. Let h(u) = 10*u**2 + 6*u. Give w*o(z) + 5*h(z).\nAnswer: -6*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 10. Let l = 9 - 4. Suppose l*q + a*m - 190 = 0, -4*q = 2*m - 0*m - 146. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234462 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/12 and -101\/318.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4488 and 46017.\nAnswer: 68841432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000187091 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 - 5)\/(-8 + 175\/21). Solve 14 = 19*v - s*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 6411264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28b - 2256?\nAnswer: -1b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -1, 2 in ascending order.\nAnswer: -5, -1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 12. Suppose -s + q*s - 674 = -2*i, 0 = i + 2. Suppose -4*u + s = 5*d, -2*d = 3*u + 2*u - 139. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 7. Let b(a) be the third derivative of -5*a**4\/24 - 5*a**3\/6 - 12*a**2. What are the prime factors of b(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*w**2 + (-2*w + 4*w + 7*w)*(w - 5*w + 3*w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 7615\nAnswer: 8376.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s + 3*l - 21, 3*s - 2*l = 74. Let f = -4991\/212 - -9\/212. Let h = s + f. Which is the nearest to h? (a) -3 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84898 is divided by 35.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*d - 32. Let j = -28 + d. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaqq when four letters picked without replacement from {a: 2, q: 4, e: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2 (b) 73 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 82*n - 5028. Determine l(37).\nAnswer: -1994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = z - 177. Suppose 6*h = -b + 2*h - 8, b + 3*h = -z. Solve b = -t - 2*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 - 106 = -17*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-388 + 420 + (-16 - -1))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/13277 and -43\/10934?\nAnswer: 185878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5203451 greater than -2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 140 + 140.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 1)*(2 + 5*u - 2) + 37*u - 130*u - 102*u - 168*u - 44*u in the form i + y*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2404262 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(1900)) + (sqrt(1900) - (-5 + sqrt(1900) + 5) - sqrt(1900)) + -5)**2*3.\nAnswer: 3360*sqrt(19) + 91788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14619 - 15905 - 7*c + 2650*c**4 + 7*c wrt c.\nAnswer: 10600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2\/9*p**4 + 0*p - 2\/9*p**2 + 4\/9*p**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -7434.\nAnswer: -7434.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 47*z**2 - 4365*z + 88657. Determine r(30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*p - 0*p - 126, 3*z - 147 = -4*p. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 100*r**2\/7 + 626*r\/7 - 1032\/7.\nAnswer: 2*(r - 43)*(r - 4)*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121021120 - 3021?\nAnswer: 121012033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-45))\/((-4)\/(-12)). Which is smaller: -0.5 or n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 3*o - 10*o**2. Let k be (4393\/10*-4)\/((-12)\/30). Let w(u) = k + u - 4393 - 3*u. Determine m(w(x)).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 682 - 679. Suppose -14 = -y - 2*a, y + b*y - 3*a = 34. Suppose 10 = 2*m - 70. What is the greatest common divisor of y and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -59*d. Let h(o) be the third derivative of -1\/24*o**4 + 0 + 0*o + 0*o**3 - 68*o**2. Give j(h(f)).\nAnswer: 59*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + 324\/(-42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1592 and -35\/796?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*u = 854*u + 3*q + 3381, 3*q = -3*u + 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2516714.\nAnswer: 2, 17, 74021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3252191 is divided by 361337.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 239, 357, 473, 587?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**4 + q**3 - q**2 + q + 1. Let o(r) = -4*r**5 + 12*r**4 - 13*r**3 + 5*r + 3. Let i(y) = o(y) - 3*z(y). What is g in i(g) = 0?\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22160 and 480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -o + 19, c = -2*c + 4*o + 44. Let a = c - 8. Suppose -s + a*s = -19. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*h + 8 + 14*h + 7*h wrt h?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28837530 != -28837529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - 9*b**2 - 10636*b + 5 - 2*b**3 + 10622*b. Give h(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/145830882 and -50\/109.\nAnswer: 145830882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -11*l**7\/5040 + 61*l**5\/60 - l**3\/6 + 26*l**2. Let a(c) be the third derivative of v(c). Calculate a(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 - -174. Suppose 0 = 80*b - y*b - 18. Let c be (22 - 16)*8\/b. What is the third smallest value in 3, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.7+-2053528583\nAnswer: -2053528618.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285983010 and 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - ((2 - 6 - 8) + 5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from jbkkkkkksjjkjsk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 68 = -4*h, 8*w + 77 = 11*w + h. Calculate the highest common factor of 64 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q. Let y(r) = -217*r - 2754. Determine s(y(u)).\nAnswer: -651*u - 8262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 3556.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + sqrt(95)\/(sqrt(20)\/sqrt(4)) + 0)*4.\nAnswer: 16 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 9 + 6 + 2*q - 8 as f*q + u and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203 - 62. Suppose 0 = -3*b + 4*r + 140, -4*b + 29 = -2*r - s. Let n = b - 5. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 p when three letters picked without replacement from xtxrrxpxvvrx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661700095?\nAnswer: 5, 11, 73, 109, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 686100, 1372107, 2058124, 2744157, 3430212, 4116295, 4802412, 5488569?\n\"Answer: i**3 - i**2 + 686003*i + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xeb when three letters picked without replacement from {k: 1, e: 7, b: 1, x: 3}?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 12*a + 1 + 2)*(2 + 4 - 5).\nAnswer: -8*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11986, 0.5, -0.05, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 186812689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + -99. Let v = -10.98 - 0.02. Let k = v + 11. What is the closest to k in 1, x, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 divided by -85?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose 2*d = u*n, -d - 2*d = -2*n - 4. Let x(q) = -q. Let m(y) = 3*y**2 + 7*y + 2. Let f(s) = n*m(s) + 4*x(s). Determine f(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**3 + 22*a**2 + 4. Let u(s) = -5*s**3 + 46*s**2 + 10. What is -5*k(j) + 2*u(j)?\nAnswer: 5*j**3 - 18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -97888750+2\nAnswer: -97888748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 3*z - 3. Let s(c) = c**3 + 6*c**2 - 2*c - 9. Let i be s(-6). Is u(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o. Suppose 2*q = -2*q - 8. Let w(x) = 5*x. Let f(y) = q*t(y) - 3*w(y). Let l(h) = -3*h**2. What is f(l(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 9*g + 2. Let j(l) = 2*l**2 - 7*l + 5. Let s be j(4). Let d be h(s). Solve d*z = -3*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153341 is divided by 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -9*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*h**5\/5 + 2692*h**4 + 2303908*h**3\/5 + 5216764*h**2\/5 + 3575784*h\/5 + 129888 = 0. What is h?\nAnswer: -132, -1, -2\/7, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 26*r**2 - 13*r**2.\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*r = -19, r - 19 = o + 3*o. Sort 4, -2, o in decreasing order.\nAnswer: 4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71)\/14 + 5)*-6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1246*n - 15930. Give b(12).\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 1, -1, 1416 in decreasing order.\nAnswer: 1416, 6, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238938.\nAnswer: 2, 3, 7, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i**5\/7 - 22*i**4\/7 - 18*i**3\/7 + 2*i**2 + 24*i\/7 + 8\/7 = 0. What is i?\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*o - 2*p, 5 = -3*o - 2*o - 5*p. Let r be (-2)\/(-12)*(-4)\/(-7). Which is the second smallest value? (a) o (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/294 and -97\/4?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14327 is divided by 7159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/63)\/(1\/(-24)). Solve -5*l = -2*f - l + h, 0 = -2*f - 4*l - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - 5 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 2*o, c + 5*o = -0*c + 5. Let d be 1*(c + (0 - 2)). Let p be ((-24)\/14)\/(-1 - -3)*7. Is d greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 + -0.02. Put 2\/5, k, -5 in increasing order.\nAnswer: -5, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 4}. Give prob of sequence qqqu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313891*l - 52494*l - 24278*l + 213136*l.\nAnswer: 450255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 7*l + 12. Let a be 6 - 20\/(-4)*l. Sort 0.3, -1, a, -4.\nAnswer: -4, -1, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019001 to seven dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 47. Is 7\/(j\/(-11) - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**4\/2 + 3*y**3\/2 - 379*y. Let t(v) = 3*v**2 - 5*v. What is -3*h(a) - 5*t(a)?\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9193*n**4*x + 2350*n**4 + 2*n**2*x + 4*n**2 - 5419*n - 2*x - 54 wrt n.\nAnswer: 220632*n*x + 56400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -3 - (7 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18482377*m**2 - 22251378*m?\nAnswer: 36964754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) - sqrt(280)*-2) + sqrt(280))\/sqrt(8))\/(sqrt(35)\/sqrt(5)*4).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 20 = -2*p. Let b be ((-10)\/(-2) - p)\/1. Suppose 5 = 2*m - b. Solve s + 3 = m*n - 4, -3*n - s = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 1 = 3*b - 11, a = -4*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8439.38km to micrometers.\nAnswer: 8439380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203903*r**3 + 407919*r**3 + 21 - 204013*r**3 - 21.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0*b)\/(b\/b**(1\/2)))\/((b**(-3)*b)\/b**(1\/8)))\/((b\/b**0)**(-26))**(1\/24) assuming b is positive.\nAnswer: b**(89\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -398, -1751, -3.\nAnswer: -1751, -398, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11693328 to the nearest integer?\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1040.1 + -876. Let k = 164 - j. Let g = 0.06 - 0.06. Which is the smallest value? (a) 2 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3608916132 to the nearest integer?\nAnswer: 60074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -555\/4624 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c + 522 = 2*w, 0 = 2*c. Suppose 99 = -6*n + w. Let q = -25 + n. Solve 8*o - 1 = -4*u + 3*o, q*u = -4*o + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 54, -5?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1043 divided by -7.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.92 + -2. Let z = 3.08 + b. Suppose 4*y - 4 = 3*y, 0 = -3*q + y - 7. What is the closest to -1 in -0.4, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -452, -915, -1372, -1823, -2268, -2707, -3140?\nAnswer: -3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8087031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pss when three letters picked without replacement from {p: 7, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*d - 4*i + 33, -2*d + 3*i = -49. Let h be 7*(2 + 1*-3). Let m = d + h. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/10 - 6\/15. Put 2, a, -4 in increasing order.\nAnswer: -4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 + 1 = -4*k, -3*k - u = 1. Let h(i) = -2*i - 2. Let j(s) = -4*s - 4. What is k*j(v) + 5*h(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/4)\/(1\/2). Let s be (10\/(-18))\/((-3397)\/(-516) - 7). What is the third smallest value in s, -0.5, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 18. Let j = -5 + 8. Let c = j + -3. Are d and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**5 - 746*k**4 + k**3 - 298*k**2 + 3*k + 1?\nAnswer: 60*k**2 - 17904*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948734872.\nAnswer: 2, 5381, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*l**2 - 2*l**3 - 3*l**2 - 4 - 37*l**2 to the form q + z*l + c*l**2 + m*l**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 10*o**2 + 8)*(-o**2 + 12*o**2 + o**2)*((0 + 0 - 2)*(-3 + 2 - 2) + 0 + 0 + 2).\nAnswer: 960*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*g - 29 = -g, 0 = -g - 3. Suppose -j - 3 = -3*h + 2*y, -2*h - 2*y = 6. Let l be (6 - h)\/((-2)\/(-3)). Solve 2*m = -l - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a2 + 5?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1220310400431?\nAnswer: 1220310400430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 3*i - 1. Let z(y) = -59*y**2 - 8*y + 4. Give 3*r(q) + z(q).\nAnswer: -62*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 1052421?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4))**(-4)*r**(-5\/4)\/(r**(2\/11)*r) assuming r is positive.\nAnswer: r**(-151\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-27) + (-4)\/18. Let f be n\/2 + 196\/8. What is the greatest common divisor of f and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 - -2.6. Let m = 3.626 + 0.074. Let f = v - m. Round f to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*f = 21, 3*g - 4405*f + 18 = -4403*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 30221?\nAnswer: 30220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*b + 16 = 4*b, -b = 4*c - 15. Let r(p) = 2*p + 3. Let f be r(6). Suppose 5*h = 5*n, -2*n = -5*h - 0*n + f. Solve -c*z = 3 + h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 1, b: 1, g: 1, o: 4}. Give prob of sequence jb.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + a - 2 - 2*a**2 + a**3 + 22 as y*a + k + t*a**3 + l*a**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -398\/3 - -131. Let l be 0\/2 + 554\/(-22). Let q = l + 25. What is the biggest value in -4, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 25051?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p - 6, -3*p = 2*c + 10. Is c < -1\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40487 smaller than 40486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 4:21 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b551b (base 15) to base 10\nAnswer: 574901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115288?\nAnswer: 2, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 4 - (-15 + 8 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.5595 centuries to months.\nAnswer: 19871.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 divided by -5?\nAnswer: 256\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x - 1. Let a(f) = 8*f. Let d(q) = -5*a(q) + 6*j(q). Let s be d(5). Suppose 4 - 20 = s*w, -5*t + 3*w = -92. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6383 rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {c: 7, r: 1, n: 2, m: 4, v: 5, g: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/110415201 and -18\/803.\nAnswer: 1214567211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 - 10. Let c(s) = s**3 + 21*s**2 - 45*s + 27. Let z be c(-23). What is the nearest to m in z, -28, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/2 + 119*s**2 + 1623*s\/2 + 693 = 0. Calculate s.\nAnswer: -231, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/6)\/((-1)\/3). Let d(j) = j**3 + j. Let z(l) = -l**3 + 3*l**2 + l. Let c(v) = 3*v + 20. Let w be c(-6). Let u(p) = w*d(p) + z(p). Calculate u(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001133001 (base 4) in base 9?\nAnswer: -887468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 60*u**3 + 5*u**2\/8 - 1881. Find y, given that k(y) = 0.\nAnswer: -1\/144, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/(32\/4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 760, 1721, 3066?\nAnswer: 4795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 6. Let x be i(-8). Let s = x + 5. Suppose 0 = 2*q - m + 1, 5 = 2*q + s*m + 2*m. Which is smaller: -1\/4 or q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 4e320?\nAnswer: -4e31e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n**2*s**5 + 273*n**2*s**2 - 6*s**5 wrt s.\nAnswer: -420*n**2*s**2 - 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 68864, 137696, 206528?\n\"Answer: 68832*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1135835, 1134698, 1132803, 1130150, 1126739, 1122570, 1117643?\n\"Answer: -379*l**2 + 1136214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 7:48 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.63 - 1.63. Let f = -3 + 1. Let q = 31\/111 + 2\/37. Which is the nearest to m? (a) f (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7*r + 20. Suppose 3*i - 25 = -2*n, -r*i = -5*i + 2*n - 5. Suppose 0 = -17*u - 9*u + 494. Calculate the remainder when u is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.322 + -125.488. Let z = -0.81 - c. Let l = -131.61 + z. What is l rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -207d - -1?\nAnswer: -207c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136279 + 135914.755. Let b = o - -364. Round b to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 793*q + 7. Suppose 0 = 2*m - 3 - 7. Let z be p(m). Suppose -x + 5*x = z. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/11)\/((-360)\/(-60))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + t**2 - 1. Let x(o) = -o - 14. Let l be x(-13). Calculate h(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 16 (c) 0 (d) 2\/13 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d - 5 = -q + 45*d, 4*d - 17 = -3*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 42 and 0.122.\nAnswer: 42.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -255 + 256. Solve 80*c = 81*c + z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7941889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 17 = -0*j - 3*j, m - 4*j + 8 = 0. Suppose 2*u + m*y = u - 5, -8 = u + 5*y. Calculate the remainder when 27 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-y + 4*y + 0*y) - 8 - 6*y - 4*y + y.\nAnswer: -15*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:00 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/11)\/((-11396)\/438746)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/4, 1, -1\/2, -517618?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*s + 2858 = 0, 17*q = 15*q - 4*s + 1426. Suppose -q = 6*r - 873. What is the highest common factor of 741 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785647417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64312.\nAnswer: 2, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 + 5*m - 3*m - 98 - 146)*(-10 - 3 - 10)*(1 - 3 - 2) to the form t + q*m and give t.\nAnswer: -19688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 14. Let a be x(12). Let j(h) = -1. Let g(f) = 6*f**2 + 18. Let k(l) = g(l) + 18*j(l). Is k(a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(1\/3)\/d*d)*(d**(-5\/4)\/d)\/d*d**(-3\/13)\/d**(2\/27))**(-7) assuming d is positive.\nAnswer: d**(38213\/1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 96 + k**2 - 5*k + k - 93 - 9*k. Let r be n(14). Let d = r - 12. Solve -4*b - d - 11 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -24*d**2 + d - 1. Let c(r) = -r**2 + r - 1. Give c(y) - w(y).\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 20.92954.\nAnswer: -4.185908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*51.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 164*l**3 - l**2 + l + 2. Let d be p(-1). Is 75 a factor of d\/(-287) - (-11118)\/(-21)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*c - 111 = 0, -2*n = -4*c - 83 - 3. Do 40 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 43*g - 2 - 2.\nAnswer: 43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653, -765, -877?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/16, 42, -0.3, -4.\nAnswer: -4, -0.3, -1\/16, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a0a2 - 21?\nAnswer: -2a103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5745a - -696?\nAnswer: -56984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -744.19582 - -36194\nAnswer: 35449.80418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:48 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-21)\/((-61140)\/2038)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -x - 11, 866 = -4*b - 2*x + 832 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 1202*a**2 - 6 - 10 + 6 - 1149*a**2 to the form l*a**3 + n + x*a + r*a**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 740\/31 - 1336\/(-10354)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160469*h**3 + 320947*h**3 - 160709*h**3.\nAnswer: -231*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by (22 - 8)*60\/21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110022 + 0?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 2 - 2. Let l(j) be the third derivative of -j**4\/3 + 264*j**2. Give b(l(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5309041 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-2)\/4) - (-8)\/4. Let z be -4*5\/(-520)*o. Sort 23, z, -1\/5 in increasing order.\nAnswer: -1\/5, z, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 11) + 18\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36161311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 = 5*n - 3*d, 4*n - d - 313 - 52 = 0. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, 1\/7, -5\/3, -14 in descending order.\nAnswer: 0.3, 1\/7, -5\/3, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -0.3. Let p be ((-3)\/1)\/1 - 112\/(-42). Put 1\/4, p, n, -3 in descending order.\nAnswer: n, 1\/4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-95)*(-4237)\/669.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4\/4 + 10*i**3\/3 - 11*i**2\/2 + 4*i + 11. Calculate the remainder when 23 is divided by m(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m + 2*m**3 - 3*m**3 + 4 + 10*m**2 - m**3 + m**3. Suppose 225 = -122*x + 147*x. What is k(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 1\/2*k**3 + 0 - k + 2*k**2. Let l be ((-4)\/(-8)*-2)\/(1\/3). What is x(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161120 divided by -46?\nAnswer: -80560\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -6, -41, -114, -237?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 6 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 845 - 572. What is the highest common factor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*k + 87 = 0, -5*k + 27 = t - 6*k. Let j be (-105)\/(-18) + 4\/t. Suppose 22 = c + j. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567832592.\nAnswer: 2, 35489537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4808656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 763, 759, 755?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 737859611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 - 16.5. Let n = k - -14. Let l = -1.85 + -0.15. Which is the closest to l? (a) 2 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 52\/5 of a minute?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (1 - 6) - (-634 + 662).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/57? (a) 0.2 (b) -1 (c) 1.72 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 9. Let i(j) = 7*j + 18. Let d(l) = -6*i(l) - 11*u(l). Let b be d(6). Suppose r - 20 = -b*r. Solve -s = -r*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -470.4\nAnswer: 28.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 438*z + 735303. What is c(-666)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483 a factor of 83515145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clll when four letters picked without replacement from lcllllll?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 144199133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -12430444?\nAnswer: -12430434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 168432 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f + f + 4*f)*(-15 + 26 - 7 - 6*f) + (-49*f + 104*f - 45*f)*(-3*f + 4*f - 2*f) to w*f + q + o*f**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-172)\/(-531) - (-6)\/(-27). Let w = g - -88\/295. Solve 0*x**2 - 4\/5*x**4 - w*x**5 - 2\/5*x**3 + 0 + 0*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 153 = -2*z. Let g be (-2*z\/9)\/((-2)\/(-3)). What is the highest common factor of 119 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h + 7*h + 9*h**5 - 10*h**5 wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/10 and 2\/17*-1 - (-3063)\/(-10812).\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444721 divided by -67?\nAnswer: 21563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - w = 8, 3*l - 5*w = l - 28. Which is the closest to -6\/13? (a) 3 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = -30. Suppose -z*i + 2388 = 60. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559354 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11 + 3 + 4*t**2 + 1 wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n\/(n*(n*n\/(n*n\/((n\/n**(1\/44))\/n)*n)*n)\/n*n))\/n))\/n)\/n)**(-15) assuming n is positive.\nAnswer: n**(15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -16753*h. Let j(m) = -2*m**2. Calculate u(j(b)).\nAnswer: 33506*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(4) - (sqrt(4) + sqrt(144)\/sqrt(9))) + sqrt(4) + sqrt(4) - (sqrt(180)\/sqrt(5) - sqrt(36)))\/(-3*sqrt(4608)) + 2)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40488 from -146183.38.\nAnswer: -186671.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + d + 1. Let m be z(1). Let p(r) = -11*r - 7. Let t(j) = -37*j - 22. Let l(u) = -13*p(u) + 4*t(u). Let o(g) = 1. Give m*l(h) - 3*o(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 831660.2 millennia?\nAnswer: 9979922400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-66*(-34)\/5780*-34)\/(2\/5)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/(-324) + 228\/18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 1999315703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/3 - -5)\/(3\/54). What is the greatest common factor of 264 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356775 by 25.\nAnswer: -14271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837 less than -0.46?\nAnswer: -1837.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 302731, 301867, 300427, 298411, 295819, 292651?\n\"Answer: -288*n**2 + 303019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from xxxxgxxg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-29)\/3)*24\/108*33?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 21 = 119*z - 118*z, -41*z = -r - 43*z - 42 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2564561 and 3.\nAnswer: 7693683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3.2 (b) -2\/11 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrqqrqqqqq. Give prob of sequence rqr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13883*r**3 - 13445*r - 1.\nAnswer: 83298*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**6*n)\/n**(4\/7))**(3\/20))**(-16))**1 assuming n is positive.\nAnswer: n**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326903.\nAnswer: 326903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138997162?\nAnswer: 2, 61, 1139321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -91483545 divided by 12093?\nAnswer: -7565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4 + 88\/55?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -137, -184, -231, -278, -325?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137*c*j + 1254*j wrt c?\nAnswer: -137*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -16*y**3 + 11*y**2 + 3*y + 13. Let s be p(6). Let i = s - -14749. Is (3\/5)\/(-2 - (-23448)\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.08 + -0.08. Let d be (-1)\/(((-1)\/(-2))\/(-1)). Suppose -p - 14 = -3*k, 2*k + 2*p = -2*k + d. Put z, -2, k in ascending order.\nAnswer: -2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 4:41 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 74. Suppose 5*b - 23 = -2*g, 5*b - d = -g - 0*g. Suppose -3*x = b*w + 2*x - 1980010, w = 2*x + 659996. What is w rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.7638568196 and -2.\nAnswer: -9.7638568196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15073 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376840 rounded to the nearest ten thousand?\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + k + 14*k**3 + k + k**2 - 13*k**3 + (2 - 2 + 2)*(-1 - 2*k**3 + 1).\nAnswer: -3*k**3 + k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 less than 42879?\nAnswer: 42851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 328 - 230. Suppose 4*c = 26 + b. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 58 (b) 0.1 (c) 0.3 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -24397635 less than or equal to -24397636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -2*l - 99 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 641442\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1015 and 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-6) + -2)\/(13\/((-286)\/33))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/69, 4, 0.4, -4, -71, -5 in descending order.\nAnswer: 4, 0.4, -4\/69, -4, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5 - 274481*k**4\/2 - 2354935406*k**3 - 19421347034*k**2 - 42369007792*k - 9415213088 = 0.\nAnswer: -34306, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 111060768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*r + 195 = 0, 4*t = 5*r - 223 - 19. Let a = t - -86. Is 22 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 49*a - 112. List the prime factors of v(34).\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.86 - -3. Let o = m + -0.12. Which is the second biggest value? (a) 2 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12\/15041, -2, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.46259989 to three decimal places.\nAnswer: -102.463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppfdfffpnp. What is prob of picking 1 d and 1 f?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-54)\/(-30) + -1)\/((-4)\/(-30)). Let d = 6 + 18. Suppose -5*j + o*j - d = 0. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f**2 - 1. Let s(m) = -3*m. Determine k(s(z)).\nAnswer: -72*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrrsrrrsst. What is prob of sequence rsr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.468487166 take away -1?\nAnswer: 1.468487166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 8*l**2 + 4. Let w(y) = 2*y**3 + 9*y**2 - 5. Calculate -5*q(d) - 4*w(d).\nAnswer: -3*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7100 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/167026 and -65\/276.\nAnswer: 1002156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 337 - 256 = -32*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*v + 15 = -77*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -18*n**3 - n**2\/2 + 8*n + 47. Find the second derivative of f(q) wrt q.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -625465 divided by 125093\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 18*d = -41*d - 3072 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26044 is divided by 1436?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 7 = k, 31 = -5*q - k + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.3 - -0.3. Which is bigger: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.68? (a) 4\/25 (b) 1 (c) 0.08 (d) 28\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/17 + -25\/68. Let s = 291.3 + -288. Let z = s + -2.8. What is the biggest value in -1\/13, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11395339\/162 + 70342. Calculate the common denominator of o and 8\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - (sqrt(650) + sqrt(650)*-2))\/((sqrt(2) + 1*sqrt(2))*-4).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5.7. What is the closest to -1 in v, -0.05, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + sqrt(684)*1)*-1)**2 + (2*sqrt(684) + -1)**2.\nAnswer: -24*sqrt(19) + 5473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 512*t + 8135. Let h be p(-15). Solve -18 + 31 = -l + 4*b, 0 = 3*l + 5*b + h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 2*k**4 + 7*k**2 + 5*k**3 - 10*k**4 + k**3 - 1 - 2*k**3 - 8*k**3 to o + z*k**3 + g*k**4 + v*k + l*k**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let a(s) be the first derivative of 0*s + 0*s**2 + 1 + 1\/3*s**3. Calculate a(f(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96940818?\nAnswer: 2, 3, 13, 414277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-nine halves of a meter?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + 5*r**2 - 4*r**2)*(0*r - 8*r - 20*r) as t*r + a + l*r**3 + x*r**2 and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 2367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 119\/4 - (-27)\/(-36). Let j = b - 10. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9 - 1.1. Let c = y - -5.4. What is the third biggest value in 4\/7, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -41*m. Let n(q) = 6*q + 5132. Give n(b(d)).\nAnswer: -246*d + 5132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1587\nAnswer: 1\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1532 - 1532.003142. Round n to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**4 - 2*m**2 + 3*m - 2*m**4 + 1 - 4*m**4 + 15*m**4 + 4*m**4 in the form b*m**3 + x*m**4 + y*m + z*m**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1) + (-2 - 0). Let x(p) = -33*p**3 - 2*p**2 - 2*p - 1. What is the units digit of x(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604790081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 544963 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -2) + (-1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102.2 + -149. Let o = d + 46.8000879. What is o rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22.14 and 1583304805.\nAnswer: 1583304782.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 - -140. Let n(l) = 6*l**2 + 2. Let f(c) = 6*c**2 + 3. Let r(p) = a*n(p) - 2*f(p). Let d(g) = -3*g. Calculate r(d(u)).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, s: 3, b: 4}. Give prob of picking 2 s and 1 b.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**4\/3 - l**3\/3 - l**2. Let k(r) = -r**2 - r - 6. Let f be k(0). Let o(c) = 2*c - 16 - c + 16. What is f*o(v) - y(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 12*y**2 + 9*y + 24. Let v be p(-10). Let l = 62 - v. Let f = l + 257. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-24) - (-2)\/(-3). Let w = -14.7 + 15. What is the closest to i in 0, w, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/13, -0.3, -3, 0.9, 1\/52?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*l + n - 291 = -268*l, -l + 108 = 4*n. Solve -13*w - l = -18 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5392378003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*z + 2, -4*b + 385 = -3*z + 377. Sort -21, 3, b in increasing order.\nAnswer: -21, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/33 <= -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 56*s - 2*s**2 + 15 - 32.\nAnswer: -2*s**2 - 56*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 1. Let d(g) = 2*g + 1. Let n(x) = -2*d(x) + 5*v(x). What is the units digit of n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 2332\/1351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 = 7. Let t(z) be the second derivative of -z + 1\/3*z**3 - 1\/2*z**a - 1\/12*z**4 + 0. Determine b so that t(b) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7377 greater than 1077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2964374 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (4 + (-7)\/((-14)\/(-20))). Suppose 5 = 3*d - 5*i, f - 21 = -2*d - i. What is the second derivative of 34*a + 6*a**5 + 3*a**5 + 4*a**d wrt a?\nAnswer: 260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**6\/90 - u**5\/30 - u**4\/36 + 4*u. Find g such that f(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**4\/4 - 5*r**3\/3 - 5*r**2\/2 - 49*r. Is b(5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z. Let v(a) = -a. Let s = 15 - 7. Let i = s - 3. Let f = -5 - -3. Determine f*u(m) + i*v(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -47*z**2 + 3. Let v(j) = -3366*j**2. What is n(v(i))?\nAnswer: -532507932*i**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -49, 4, -0.04, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 + 7 + -7 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 10*a**2 + 11*a + 10. What is j(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = 10. Let y be (11\/c)\/((-7)\/(-14)). Let x(b) = b**3 + 11*b**2 - b + 14. Calculate the remainder when x(y) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 60873*c. Let j(n) = -11*n - 38. Determine k(j(t)).\nAnswer: -669603*t - 2313174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-1)\/(-10))*-8. Let o be (90\/150)\/(6\/50). Suppose 0 = a + 1, 3*c + a = c - o. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4\/5 (b) -0.21 (c) 8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 5. Let a(h) = -h**2 - 10*h - 4. Let x be a(-10). Sort x, t, 3 in ascending order.\nAnswer: x, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/3 - 4. Which is the nearest to n? (a) -3 (b) -0.5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*u + 64 = 0, -4*b + u - 20 = -61. What is the remainder when b is divided by (-1 + 5)\/(4\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 639, 1276, 1915, 2556, 3199, 3844, 4491?\n\"Answer: h**2 + 634*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -45. Let q = s + -22.8. Let i = -199\/6 + 33. Which is the nearest to 1\/4? (a) q (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -346 - -347. Which is the third smallest value? (a) -7 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, w: 4, r: 2}. Give prob of picking 1 r and 1 k.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 427*p**3 - p**2 - 11*p - 9. Let x be v(-1). Which is smaller: x or -425?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 11*q**2 + 58*q + 538. Calculate f(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13104)\/(-54)*(2 + (-4)\/(-4)). Solve 734*d = k*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71e3b + 0?\nAnswer: -71e3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40087949.\nAnswer: 11, 71, 51329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**2*p**2 + 4*h**2*w + 3*h*k*p**2*w + 2*h*k*p - h*p - 2*k*p**2*w - 2*k*p*w + 5*k*p wrt p?\nAnswer: 8*h**2 + 6*h*k*w - 4*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y + 7786 = -9*y. Let l = 33 - -85. Suppose -s + l = z, -4*z - y = -3*s - 708. Is z a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 810\/972*(-2)\/20\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.752 take away -149970?\nAnswer: 149970.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 + 40*q - 111373. Let i(k) = 3*k**2. Determine l(i(f)).\nAnswer: 36*f**4 + 120*f**2 - 111373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-five halves of a kilometer?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464697 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3, 2*s - 2*m = -2*s - 1910. Let y = -104 - s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418863?\nAnswer: 3, 17, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2. Let j = 95 - 95. Let d(f) be the second derivative of 0*f**2 - 1\/3*f**3 - 4*f + j. Calculate d(t(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-6))\/(159\/(20988\/(-55)))?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 10:32 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -8*q - 192. Let h = q + 49. Let x be 1\/((11\/10 - h)*2). Solve -4*b + x*m - 5 = 0, 3 = b - 3*m + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -344121?\nAnswer: -344112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554874.\nAnswer: 2, 3, 92479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Suppose m*p = -4*i + 18, -5*i = 3*p - 0*i - 15. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/261 + 55\/783. Which is the nearest to -1\/35? (a) -1 (b) -4 (c) 1\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = -1. Let d(s) = l*s**2 - 107*s + 107*s. Let o(w) = w**2. Give d(o(c)).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21093115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1787*j - 69 = 1790*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = -1. Suppose u*d + c = 27, 14 = 4*d - 3*c - 19. Let g = 4364 + -4358. Calculate the remainder when d is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4317359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -423304232?\nAnswer: 423304223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 88, 67, 0, -137, -368?\n\"Answer: -4*p**3 + p**2 + 4*p + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 12. Let g(j) = -1. Let i be -2*(-6)\/(-4) - 3. Let k(o) = i*g(o) + d(o). Does 3 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23674\/13155 - -1\/2631. Let v = 11 + -15. Let h be (-30)\/(-56) - ((-6)\/(-21) + 0). What is the nearest to -1\/3 in v, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 5937 = 17*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 4*v = 4*v - 101085. What is the greatest common divisor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*g**3 - 10 - 821*g**3 - 1 + 11.\nAnswer: -1256*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 7\/9 (b) -1.98 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899811.\nAnswer: 3, 11, 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213607, -427190, -640753, -854296, -1067819, -1281322?\nAnswer: -1494805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -87741 (base 13) to base 7\nAnswer: -2040405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 34*b**2 - 216*b**2 - 23 as h + i*b**2 + f*b and give i.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30745 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10\/1*34\/68\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 190, 152, 114, 76, 38, 0?\n\"Answer: -38*c + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127875 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437316 is divided by 461?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 k when three letters picked without replacement from kkkkjjxkkjrkkkrk?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-11 - -21) + -19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2. Let z(y) be the third derivative of -y**4\/24 - y**3\/6 - 3*y**2 - 4. What is z(i(m))?\nAnswer: -3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1\/3 + ((-36)\/(-54))\/(8\/41276)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28b3da + -3?\nAnswer: -28b3dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -316 - -924. Suppose -o = -2*a + z + 222, -5*a - o = -2061. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 0*m**5 + 4*m**5 + (3*m**4 + 7*m**4 - 3*m**4)*(-4*m + 4*m + 2*m).\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -2113 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*0*9\/99.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -24\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 1211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 47. Let n be (44\/(-8) - -8)*320\/(-25). Determine w(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 81*o**2 + 860*o + 2307. Let r(a) = -a**2 - 2*a + 1. Let c(v) = -5*r(v) - y(v). Let c(u) = 0. Calculate u.\nAnswer: -17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**2\/2 + 4*f - 22. Give y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -29*d + 24*d - 7, 3*m = 4*d - 16. Let y(x) = 20*x**2 + 8*x - 10. Let l be y(d). Solve -l = -t - 19 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 624 (b) -0.06 (c) -829\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1017847, -2035685, -3053521, -4071355?\n\"Answer: c**2 - 1017841*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 23632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86193 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 137704 bigger than 137533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 360, 719, 1078?\n\"Answer: 359*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-19)*i**(-10)\/i*i**(18\/11)\/(i**(22\/3)\/i))**(2\/29) assuming i is positive.\nAnswer: i**(-2224\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 - 4 + 7 - 2 + (3 - 1 - 1)*(-4 + 5 + 1) - 1 + 4 - 4)*(-171*t - 338*t**2 + 338*t - 173*t).\nAnswer: -338*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461*l - 463*l + 6 = 2*a, -3*a + 4*l = -16. Factor o**3 + 0 + 0*o + o**a + 0*o**2 + 1\/4*o**5.\nAnswer: o**3*(o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 256, 258, 270, 298, 348, 426, 538?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**4 + 4*y**3 - 4*y + 6. Let v(o) = o**4 + o**3 - o + 1. Suppose 5*p + 20 = -0. Let a(b) = p*v(b) + m(b). Find the first derivative of a(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.0406787?\nAnswer: -0.00406787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72.3491 - -0.3491. Put -3, -2\/5, l in descending order.\nAnswer: -2\/5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 741.3745 and 18220.\nAnswer: 18961.3745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 28. Is ((-370)\/s)\/((-1)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 12:23 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 = 21*r - 540. What is the remainder when 172 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196 - 196. What is the closest to -1 in n, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q + 43. Let p(s) = 13*s - 73. Let d(w) = 3*m(w) + 4*p(w). Calculate d(19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 + 11*p - 4. Is s(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10458 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + q + 3 = 3*q, 4*r - q - 30 = 0. Let p(n) = -n**2 + 8*n - 5. Let s be p(r). Let b be 3\/(-2)*1*s. Are -4 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 2*o - 2. Let c(s) = 8*s**2 + 20*s + 20. Let q(x) = c(x) + 10*l(x). Let h(w) = -135*w**2. Calculate h(q(p)).\nAnswer: -540*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133638 is divided by 125222?\nAnswer: 8416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 16*j - 26. Calculate f(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*y**2 - 155*y**2 + 22*y**2.\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 112*r - 22. Let h be o(-33). Let t = 1545 + h. Suppose 0 = -2*s - s. Solve 0 = 2*f - s*f - 3*j + 4, 0 = -t*f + 4*j + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 9:07 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 1\/40*b**5 - 29*b + 9*b**2 - 1\/4*b**3 + 0 - 1\/32*b**4 + 1\/160*b**6. Let u(j) be the first derivative of g(j). Factor u(w).\nAnswer: 3*(w - 1)*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 1. Let m(a) = 2*a - 7. Let d(r) = -3*r + 7. Let w(b) = -4*d(b) - 3*m(b). Calculate 2*w(s) + 14*z(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -387 times -26.1166?\nAnswer: 10107.1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:55 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(35)\/(4*sqrt(63)))**2 + 4.\nAnswer: -sqrt(5)\/2 + 1877\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*f = 4464*f - 103*f - 85380 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.8. Let k be 0 + (-148)\/(-18) + (-2)\/9. Suppose 0 = m + 3*m - k. Sort m, f, 0 in descending order.\nAnswer: m, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/9 + (-30434)\/(-6120). Let p = -1\/1530 + b. What is the common denominator of 37\/52 and p?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-5*((-12)\/(-30))\/(-1)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4591 divided by -738.\nAnswer: 4591\/738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20911437 a multiple of 603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 5*k**2 + 6*k + 5. Let g be o(5). Differentiate -11 + g*d + 2*d**2 - 26*d**2 - 35*d with respect to d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.95+-134983.987\nAnswer: -135013.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 8.999986. What is a rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120643*l**3 + 120649*l**3 + 2 + 120643*l**3 - 482583*l**3 + 120642*l**3.\nAnswer: -6*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -17*b**8\/56 - 17*b**4\/12 - 42*b. What is the third derivative of r(h) wrt h?\nAnswer: -2040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - u**2 - 7*u**2 + 6*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(0\/(-2) - 6). Suppose 0 = 2*t - 5*n - 63, -15 = 4*n - n. Suppose -3*z + t + 8 = 0. What is the highest common divisor of z and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 minutes before 1:34 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is (-1474795)\/(-25) + (-84)\/105 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4 + 2*a - 27*a**2 + 2*a + 15. Let h(t) = 4*t**2 + 4*t - 18*t**2 + 6 - 3*t + t. Let l(k) = -11*h(k) + 6*q(k). Determine o, given that l(o) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/49 - 101\/147. Which is the third smallest value? (a) -0.5 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**2 + 3 - 3)*(0*r**3 - 4*r**3 - 2*r**3).\nAnswer: -42*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/12 + (-1)\/(-3). Let y = -1 - w. List the prime factors of 9 + (4 - (-2)\/y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3 + q**3 - 4*q + 3*q - 4*q + 1 - 4*q**2. Calculate g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -10 + 23 + (2 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-2720)\/456 + (-384)\/(-24)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*s - 56*s = 3*t - 27, -5*s - 45 = -3*t. Let w(i) = 2*i**2 + 8*i - 2. What is the least common multiple of w(-6) and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 - 100*u + 3882\/13.\nAnswer: 2*(u - 647)*(u - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(187\/935)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -2 + 2 + 0. Find the second derivative of x**3 - f*x + 5*x - 5*x**2 + 5*x**2 wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*y**3 - 134*y**3 + 40*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 964440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from {w: 2, v: 3, s: 1, u: 6}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7330147 and 30987?\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1393\/196 - (-13)\/((-728)\/42) and 58\/35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2205*p**4\/2 + 207061*p**3\/2 + 9825*p**2 - 188*p = 0.\nAnswer: -1\/9, 0, 4\/245, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19739883 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2891\/41499 + 1\/1431. Put o, -12, 4\/3 in descending order.\nAnswer: 4\/3, o, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 5 = 0. Suppose l = -s + 2. Let m be 2 + 2 + s\/(-1). Solve -m*j + 2 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from {d: 2, q: 1, k: 4, n: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 89 - 5?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 7*l - 4. Let d(r) = 6*r**2 - 14*r + 38. Let s be d(6). Let q = s - 165. Give u(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 113c0 - -10?\nAnswer: 113d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a day in minutes?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1119125 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937 = -55*b + 167 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2846 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-4)\/7)\/(2\/7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-12)\/18)\/((-2)\/(-9)). Let z be x - (-341 + (-7 - -4)). Let u = z + -243. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*g - 185, -c - 8 = 2*g - 79. What is the remainder when 472 is divided by g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 55*d + 8*d - d**2.\nAnswer: d**2 + 63*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((212\/(-3))\/(-53))\/(-2*(-2)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {i: 8, q: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -6 + 2 + 5. Let w(j) = 2*j**2 - 3*j. What is the remainder when w(t) is divided by (-11 + 11 + -1)\/((-2)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:10 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -59 + 59*q - 49 + 113 - 41. Let c be u(4). Calculate the highest common divisor of 40 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 3*c - 16*c - 13. Is z(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 88.28175 kilometers?\nAnswer: 88281750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2719 = 2*r, 6*n - 7*n = 5*r - 553. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - ((-5)\/2)\/((-11)\/(-88)). Let r be (-10)\/w + 8288\/(-42). Is -199 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390190 is divided by 39017.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 106172, 213761, 321350?\n\"Answer: 107589*a - 1417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 45.46. Let r = -5.712893 + 5.25288. Let z = k + r. What is z rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4\/(v**(-7\/3)*v)*(v**4)**(-44) assuming v is positive.\nAnswer: v**(-512\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -5. Let v be n*(-3)\/6 + -1. Let t be 0\/(4\/(-7 + 3)). Solve -3*h + v*h = t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 greater than 1004.76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(7\/9))**26*(c**(2\/19))**(-2\/7) assuming c is positive.\nAnswer: c**(6880\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 4541*c - 3. Let n(q) = -q**2. Give j(n(m)).\nAnswer: -m**4 + 4541*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 138\/24) + 59385165\/12. Suppose -24*m + b = 18148764. What is m rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/5)\/(3\/(-60)). Suppose -2*p - 297 = 3. Is 25 a factor of (p\/8)\/((-12)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, -28, -20, 0, 38?\n\"Answer: w**3 - 3*w**2 + 4*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3733*k + 22403. Determine o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198851441?\nAnswer: 198851441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71*v**2\/4 + 65189*v\/4 + 30130.\nAnswer: -(v - 920)*(71*v + 131)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b - 24. Let u = -42 + 59. Let m be z(u). Calculate the highest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 0.4 (c) -5\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 66 = -10*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 9*t + 2*t)*(0 + 2 + 1)*(-373 + 195 - 77)*(1 - 6 + 3).\nAnswer: 12240*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-59 - (-34 - -28))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*i = -2*c - 32, -i = -2*c - 16. Sort c, 0, 1 in descending order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 183*b**3 - 3*b**2 + 6*b - 6. Let z be m(2). Suppose 2*o + z = 5*r - 3*r, 5*o = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -1101?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -112, -178?\n\"Answer: -66*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17*y. Let p(q) = 7*q**2 - 4. Let o(c) = 15*c**2 - 9. Suppose -1 + 16 = 2*u - 3*l, -u - 5*l + 14 = 0. Let m(a) = u*p(a) - 4*o(a). Calculate n(m(i)).\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-20)*615\/6 + -2. Let k be ((-16)\/x)\/((-4)\/3 + 2). Let n = 3.5 - 3. Which is the nearest to 0? (a) k (b) n (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*p + 15*p - 7*p)*(3*p**2 - 2*p**2 + 3*p**2) + (-p**2 - p**2 + 0*p**2)*(1 - 1 - 2*p) + (8*p**2 - p**2 - 3*p**2)*(2*p + p - p).\nAnswer: 116*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2150.16093 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * 7660.\nAnswer: -199160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 18 - 1444*n**2 + 15.\nAnswer: -1444*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-24)*(-15)\/39\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:08 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-0.406.\nAnswer: 0.5278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - (-40 + 47)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5, -3*k = -2*k - 4*m - 358. What is the greatest common divisor of k and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**2. Let i(j) = -158 + 158 - 5*j**2. Determine b(i(q)).\nAnswer: 200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1293*a**2 + 39*a - 1054. Let w(t) = 645*t**2 - 18*t + 527. Let s(z) = -6*f(z) - 13*w(z). Differentiate s(d) wrt d.\nAnswer: -1254*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -3 - -1) + 15 + -46 + (8 - -15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + 0.334\nAnswer: 0.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-63)\/42 + 58 + 2)*4 and 81?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4420, 10342, 17770, 26704, 37144, 49090?\n\"Answer: 753*h**2 + 3663*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -6, 2\/13, -30, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 49, 69, 87, 103, 117?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h + 5 - 5)*((h - h - h)*(h - 2 + 2) - 2*h**2 + 2*h**2 - h**2 + (4*h - 3*h + 0*h)*(2 - 2 + 2*h + (3*h - 4*h + 2*h)*(2 + 2 - 3) + 3*h + h - 2*h)).\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:25 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 1)*(-2 + -1 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -64*z**2 + z. Let d(u) = 2*u. What is n(d(l))?\nAnswer: -256*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 - 57*x**2 - 8*x + 9. Give a(19).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, 54, 81?\n\"Answer: 27*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from rtrruutrubt?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/12*(-165)\/2. Suppose m = 5*p - k, 5*m + 4 + 31 = 5*p. Find the second derivative of -13*x + 22*x - 2*x**5 + p*x**5 wrt x.\nAnswer: 200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 345*s**2 - 348*s**2 + 730*s**3 - 731*s**3 + 10*s + 21. Give o(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4685904 and -139\/260328.\nAnswer: 4685904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25460600 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 478756.8 litres?\nAnswer: 478756800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 14 = p + 4*a, -84 = -3*p - a. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 3*x**2 + 4780*x + 14336. Give n(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 660 = -128. Suppose 136 = -5*x + x. Let w = x + g. Which is bigger: 40 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -975.\nAnswer: 32\/975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -34*u**2 - 16*u - 96. Let s(p) = -2*p**2 - p - 6. Let i(c) = -n(c) + 16*s(c). Let m(v) = 48 - 560*v**2 - 48. Calculate i(m(l)).\nAnswer: 627200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 1400355.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*l - 74088 = -86*l - 38*l. Is -6 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -15.2. Let v = 2.19999955 + l. What is v rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -231*k - 214. Is l(-29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166 + 24. Suppose -5*i = -g + 1450 - b, -4*i - 5*g - 979 = 0. What is i rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 + 5*a - 4. Give s(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 315 = 3*g + 3*k, -4*g = -3*k - 403. List the prime factors of g.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1886076 is divided by 2399?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -586070 (base 10) in base 15?\nAnswer: -b89b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3160 (b) -24 (c) -2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 18 = -3*n, -13*f + 18*f + 5*n - 10 = 0. Solve 5*k = 4*y + 8, -3*y + f*y = -k + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 13*a**2 - 30*a - 10. Suppose -40*z - 2*p = -41*z - 12, -21 = 2*z - p. Calculate f(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 587*j - 11367. Determine w(567).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/22 and -55\/7516.\nAnswer: 82676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x\/(x\/(x\/(x*x**(1\/3))))))*x**(-1\/4)*x**(-2\/5)*x\/x**7 assuming x is positive.\nAnswer: x**(-419\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 15, w: 4}. Give prob of picking 4 c.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x - 16, -3*x - 80 = -4*q. Let h(a) = a - 29. Let w be h(19). Let g = q + w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 381?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 5\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475.397965 rounded to the nearest 10?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6*(-15)\/(-2). Let l = -3.02 - -1.7. Let t = 0.32 + l. What is the smallest value in t, 1\/8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 + 0*l**4 + 2*l**4)*((209 - 128 - 262)*(-2 - 2 + 2) + 3 - 5 + 0 + (-2 - 1 + 5)*(-2 + 1 + 2)).\nAnswer: 1448*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -230 + (240 - 133 - 4).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(7)*-2 - -5*sqrt(112)) + (2 + sqrt(7) + 1 + sqrt(7))*-2)**2.\nAnswer: -288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 - -8?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 3*l**2 + 2*l - 3. Suppose 2*q + 0*q = 0. Let g(y) = y + 3. Let m be g(q). Let p(v) = -2*v**3 + 5*v**2 - 3*v + 5. Determine m*p(i) + 5*u(i).\nAnswer: -i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 22*y + 40. What is t(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 5717*y - 52 + 2076*y.\nAnswer: 7793*y + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -20*f + 71. What is i(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634.1643um to nanometers.\nAnswer: 634164.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**8\/336 + 7*f**5\/120 - f**3\/6 - 8*f. Let h(y) be the second derivative of z(y). Find the second derivative of h(c) wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - 131012033?\nAnswer: -131012230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from tcmtt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 13639?\nAnswer: 13639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/2 + (549 - -3). Suppose -w = -3*c + 468. Suppose 4*k - 3*g = -113 + c, -4*k = 5*g - 196. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -411*w - 7067 + 1313 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 4. Let z be o(-1). What is the tens digit of (897\/z)\/(-1) - 7\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10413995?\nAnswer: 5, 19, 109621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10860.17915 - 10860. Round x to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 643 - 536. What are the prime factors of p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 287 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*o**6 - 81340*o**4*w - 4*o**3 - 6*o**2*w + 11*o*w - 59486*o wrt o.\nAnswer: 2520*o**3 - 1952160*o*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -939 + 1023. Let s = v + 807. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -852060.68 to the nearest one thousand.\nAnswer: -852000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8289, 8342, 8431, 8556, 8717, 8914?\n\"Answer: 18*b**2 - b + 8272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 - 30 = -3*b. Suppose -5*h + 500 = -3*h - w, h - w = 254. Which is smaller: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 58\/8 - (182\/(-8) - -22). Let h(x) = 4*x. Let q be h(1). Suppose -6*m - 4*v = -2*m + g, 3*m + 2*v + q = 0. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 112\/(-20)*(5 + 30\/(-4)). Solve 31 + 39 = k*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 19\/60*r**5 + 0*r + 29*r**2 + 0*r**3 + 0*r**4 + 0*r**7 + 9\/112*r**8 + 0*r**6 + 0. What is the third derivative of y(f) wrt f?\nAnswer: 1620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81\/7*r - 3\/7*r**3 + 27\/7*r**2 + 81\/7.\nAnswer: -3*(r - 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124616 + 124614.90202. What is b rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/220 + 281756\/(-40). What is g rounded to the nearest one hundred?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3\/3 + 9*l**2\/2 + 7. Determine p(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323596 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 14*t**2 - 14*t - 10. Let o be g(-13). Suppose 4*w - 7 = 1. Suppose -w*n = -n - 27. Calculate the greatest common divisor of o and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8314018 a multiple of 734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 4:23 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 18*(5 + 30\/20). Calculate the greatest common divisor of h and 22815.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5509241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1100100011101010?\nAnswer: -1100100011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2105, 1876, 931, -1090, -4547, -9800, -17209, -27134?\nAnswer: -39935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18428, -36842, -55256?\nAnswer: -73670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9081600.42 rounded to the nearest ten thousand?\nAnswer: 9080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:47 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.0785 - 0.0785. Put 2, 2.3, r, 4 in decreasing order.\nAnswer: r, 4, 2.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*h**3 + 1970*h**2 - 28000*h + 7840.\nAnswer: -5*(h - 28)**2*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(32\/7)\/d)\/(d\/d**(-37)) assuming d is positive.\nAnswer: d**(-234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*(-35 - -2). Let m = 27 - o. Suppose 0 = 3*z - 7*z + m. Solve -2*h = -z*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747*p - 1393 = -754*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2 + 1113*p - 1112 = 0.\nAnswer: 1, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/963230 and -161\/135815430?\nAnswer: 135815430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - (30 + -25 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237717, -475427, -713127, -950811, -1188473, -1426107, -1663707?\nAnswer: -1901267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8024*v**6 - 115*v - 3*v**2 - 6*v**3 + 8064*v**6 - 71*v - 63*v wrt v?\nAnswer: 4800*v**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - (132\/(-11) + 7). Sort 2, 5, 1, 6, l in descending order.\nAnswer: 6, 5, 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from {u: 2, m: 1, s: 6, r: 3, w: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -17*b**6\/120 + b**5\/30 - 268*b**2. Let k(a) = -375*a**3 + 45*a**2. What is 45*d(l) - 2*k(l)?\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 8. Let b(a) = -16*a - 33. Let s(d) = -6*b(d) - 26*l(d). Let i be s(-5). Suppose -2*u - 3*r = -i, r + 25 = u - 0*r. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(33\/(-220)*6))\/1?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23330 and 80.\nAnswer: 186640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 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: List the prime factors of 12848305.\nAnswer: 5, 29, 88609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 36 = -15*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c + 2. Let a be q(1). Suppose 75 = 3*k + 2*k. Solve 5*u = 2*h - 20, -4*u + a*h = k + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/(4\/(-12)). Suppose 2*r + j*b = -4, 4*b = -r + b - 12. Solve a + r*a - 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + 56. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018225 rounded to four dps?\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (41 - (-7 - -4))\/(156\/195). Solve -50*j = -61*j + b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0735 + 77.7265. Let q = r + -78. Sort q, 1, 2\/11 in ascending order.\nAnswer: q, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 2:00 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(0*p**4 + p**4 - 21*p**4)*(2 + 22 + 0).\nAnswer: -480*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 7. Let o be 4\/(-1*(-4)\/(-12)*-1). Let s be (-7 + 19 - -2)*o\/(-7). Let u be 8\/10 - s\/(-5) - 1. Let f(z) = -2*z + 11. Determine u*f(p) + 8*w(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-3) + (2\/6)\/1. Suppose -t*z + 317 = y, y + 52 = z - 9. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 8:24 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 2*u + 7*u)*(-u - 77*u**4 + 52*u**4 + 58*u**4).\nAnswer: 132*u**5 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 9:47 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + -3 + -1 + -2. Suppose -15 = -3*x, j*v - 3*x - 51 = v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234420 - -20304?\nAnswer: -214111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -20, -4*x = 3*p - 2*p - 23. Let h = 11366 - 136309\/12. What is the common denominator of h and (522\/48)\/(-9*p\/(-60))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x + 2 - 6 + 2*x + 12 - 4*x**2.\nAnswer: -4*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**5 + 255*m**4 - 225*m**3 - 2235*m**2 - 2760*m - 1008 = 0.\nAnswer: -1, 4, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -201152 (base 6) to base 14\nAnswer: -5ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -34, -46, -58, -70?\n\"Answer: -12*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 335*x - 121*x - 82*x + 1 - 71*x in the form w*x + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 259.5942 millilitres?\nAnswer: 0.2595942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 19*v**2 + 28413*v - 722209. Determine a(25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/(s*s**12))**(-1\/8) assuming s is positive.\nAnswer: s**(25\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 1 + sqrt(1331)*4 + -3*sqrt(1331) + 5)**2*-2.\nAnswer: -10720 - 528*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/10*-26 - 4. Suppose -36 = -k*m + 7*m. Suppose m*x - 23*x = -700. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o - 1. Suppose 2*s + 3*s - 5*v - 160 = 0, 2*s + 2*v - 56 = 0. Suppose -4*g - g = -s. Does 7 divide r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2678140*y**3 + 4.\nAnswer: 2678140*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 263*g**2 + 263*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**3*g**2*g)\/((g*g*g\/g**(-3\/4))\/g**3) assuming g is positive.\nAnswer: g**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 11\/4*u**4 - 1\/3*u**3 - 13 - 10*u**2 + 0*u + 1\/5*u**5. Find the third derivative of i(j) wrt j.\nAnswer: 24*j + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894213 is divided by 9154.\nAnswer: 6275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + (-73)\/3 - -5. Let v(q) = q**3 + 20*q**2 + 15*q - 72. Let k be v(t). Put -20, k, -3 in descending order.\nAnswer: k, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = 0, -13 - 15 = 4*t - 4*k. Let y(h) = -h**2 - 5*h. Let u be y(-5). Suppose u = -5*a - 0 + 15. What is the second biggest value in t, -2\/13, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/40 + i**5\/12 - 25*i**4\/24 + 11*i**3\/6 - 30*i**2 - 3*i. List the prime factors of w(6).\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221.2 - -50.8. Let a = m + -272.141. Round a to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5753212753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-12 - 0)) + 0 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(4*10\/360)\/(473\/(-129))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 4, -5, -1, 2\/17 in decreasing order.\nAnswer: 4, 2\/17, -1, -5, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20973978?\nAnswer: 2, 3, 129469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43 + -25566854?\nAnswer: -25566897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10541 times 0.3?\nAnswer: 3162.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = z + 39 - 47, -5*m + 10 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40186223 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146 and 1898?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4 - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2480 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3884, -385 in ascending order.\nAnswer: -3884, -385, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002839965921 rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/18)\/(3\/20 + 0). Suppose -w = 2*b - 18. Suppose -6*y + 6 = -b*y. Solve y*a = a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -6\/11, -1\/3.\nAnswer: -8, -1, -6\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20793 is divided by 1063.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8 + (5 - 6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/45, -95\/4, 2, -1\/37, 23, 0.3?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 36, -36, -138, -276, -456, -684, -966?\nAnswer: -1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*r + 22 - 47 - 14 wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, w: 11}. What is prob of picking 2 o and 1 w?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (6 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 262402.2 months?\nAnswer: 21866.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3075 and 6273.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0 - 0) + 1. Suppose c = 6*t - 2*t - 56. Let q = t + 1. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 4. Let d(r) be the second derivative of r**3\/3 - 7*r**2\/2 - 19*r - 1. What is 4*d(b) - 7*w(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17787, 17799, 17811, 17823, 17835, 17847?\n\"Answer: 12*o + 17775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 2*o**2 + 5*o + 4. Give x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 - 19*v**2 + 18*v - 7. Let f(y) = -8*y**3 - 56*y**2 + 53*y - 19. Let d(k) = 11*a(k) - 4*f(k). Give d(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*h - 164 - 17, -237 = -3*u + 4*h. What is the remainder when u is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -516 + -778. Which is bigger: -1297 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56276328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.514 + 5.\nAnswer: 5.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 531 and -0.9.\nAnswer: -477.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 214541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((2 - 5) + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-3\/4))\/i)**(-1\/35))**18)**(-17\/3) assuming i is positive.\nAnswer: i**(153\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/208 and 15\/143.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/(-13))\/(-2 + 1). Solve 9 = w*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*l - 5*x, 5*x = -5*l + 7*l - 8. Let h be ((l\/10)\/(8\/(-40)))\/2. Is h*10*68\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206192 divided by 1841.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10643513 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 11:17 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2 + 1664*y + 35385 = 0. Calculate y.\nAnswer: -21, 1685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = h - 490, -5*j - 2450 = -5*h - j. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 - (-5 - 408\/20). Let d = h + -24. Suppose 2*w = -d + 21. Solve 2*i - 4*o + 12 = 0, i - 5*o = -2 - w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 335, 4, 2775, -10 in increasing order.\nAnswer: -10, -4, 4, 335, 2775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + 2 - 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**6)**(-23)\/(f\/(f*f**(1\/7)))**34 assuming f is positive.\nAnswer: f**(-1093\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 4)*1*1. Sort r, 6, 5.\nAnswer: r, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, -2, -3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 16 = 0. Let a = -223 + 135. Let z = -80 - a. What is the lowest common multiple of s and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 5*q + 3. Let y(n) = n**2 - 4*n + 36. Let i be y(7). Suppose -61*z = -i*z - 16. Give v(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:02 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(637) - 5*(sqrt(637)*2 - sqrt(637) - sqrt(637)))**2 + 0.\nAnswer: -84*sqrt(13) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39730617726 minus 0?\nAnswer: 39730617726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.5 - 9. Let p be 1 + 0 - 19\/9. Let t = -587 - -1173\/2. Which is the closest to p? (a) t (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let n(y) = -7*y - 2751 + 0*y + 2749. Let l(b) = -6*g(b) - n(b). Let i(c) = 2*c. Determine i(l(j)).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41392)\/11600108)\/((-2)\/38)?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -455, 5, 83, -34, 4 in decreasing order.\nAnswer: 83, 5, 4, -1, -34, -455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308917*a**3 + 32*a**2 + 109009*a**3 - 32*a**2.\nAnswer: 417926*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11678573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 7:10 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5274 - 4757. Calculate the greatest common factor of g and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180548 is divided by 743?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 3*k + 34. Give c(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = o. Let r = 43.6 - 40.6. Which is the nearest to o? (a) r (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(2*y**2 + 2*y**2 + 0*y**2).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 8 + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-26) + 3014\/156 and 16\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, g: 2, d: 7}. Give prob of picking 2 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 188 + 0 + (-121 + 152 - 78)\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 3*l**2 - 3*l**2. Let t(j) = 1. Let x(y) = -2*y + 4. Let s(g) = -12*t(g) + 3*x(g). What is k(s(h))?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 800*p**2 - 1586*p + 2388.\nAnswer: -2*(p - 1)*(p + 3)*(p + 398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 9*j + 10*j - 13)*(-8*j + j - 8*j) to the form n*j + d + h*j**2 and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y)**4 assuming y is positive.\nAnswer: y**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 89aa - -3?\nAnswer: 8a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7859, -21721, -35583, -49445, -63307?\n\"Answer: -13862*l + 6003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**14)**(3\/8) assuming o is positive.\nAnswer: o**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 5. Suppose 0 = 7*v + 8 - 29. Let d be n(v). Solve d*w + w = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -19. Suppose x*p + 3*y = -2, 1 - 17 = 2*p + 5*y. Let n(u) = -3*u + u - 6 + p*u - 3*u. Calculate n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 6*d - 44. Let r = -19 - -22. Suppose 0*b - 2*g - 18 = -2*b, 2*b = -r*g + 43. What is the lowest common multiple of d and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 7*z - 8. Suppose -5*s = -2*u + 11, 4 - 11 = -z*u - 5*s. Solve -1 = u*v - i, v - i + 2 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -4)*(3\/16)\/3. Let y = -0.06 + -7.94. Let m = 10 + y. What is the closest to m in 3, -3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -238669\/18 + 13267. What is the common denominator of 42\/80*(-3 - 3) and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5210856094.460005882 - -5210854043.46. Let i = m - -2051. Round i to seven dps.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4021? (a) 4 (b) -4 (c) 2\/17 (d) -14\/5 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90956947.6 rounded to the nearest 10000?\nAnswer: 90960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1828310 to the nearest 10000.\nAnswer: 1830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6983 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -33*m - 1031. Give i(-25).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 19, -32, 13532 in ascending order.\nAnswer: -32, 10, 19, 13532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-18\/5)*q*q**(8\/7)\/q*q*(q\/((q*(q*q\/(q*q**(-12))*q)\/q)\/q))**26 assuming q is positive.\nAnswer: q**(-10971\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2420343 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-19\/4)*n*n**(-14\/5) assuming n is positive.\nAnswer: n**(-111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2*t + 4*t + (-6*t + 2*t + 2*t)*(1 - 2 + 0) + 3*t + 0*t - t + 14 + 12 + 18 + 370*t + 3 - 47.\nAnswer: 375*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c + 1. Let m be 5*(1 + (c - 1)). Let h = -3 - m. Solve h*d = -d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 154)*(-2)\/(1 + 3). Let f = r - -677\/9. Suppose l - 3*l + 2 = 0. Do l and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10584 = x + 2528, -2*x + 6446 = 4*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8425633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -14324?\nAnswer: -14252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4029 = -5*x + b, -114*x + 2415 = -111*x - b. Is x equal to 807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1596 divided by 5254\nAnswer: 798\/2627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**4\/12 + 5*h + 2. Let l(t) be the first derivative of o(t). Let a(v) = 5*v**2. What is l(a(f))?\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 13*i - 32. Let v be j(-9). Suppose c - y = 2 + 12, v*c = 2*y + 48. What are the prime factors of ((-52)\/4)\/((-5)\/c)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:22 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 1. Let u = -23 - -25. Let b be 5 - (3 + 4) - (u + -5). Calculate w(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873958040 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 7. Let m be o(-12). Suppose -m*h = -4*w - 18, h + 0*h + 6 = -4*w. Let n(b) = 1 + b + h*b - 5*b. What is n(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 40*g**2 + 75*g - 35. Let h be d(-38). Let w = 384 - 139. Suppose -4*l + w = h*l. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 29*b + 36*b + 436 + 3074 for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1584)\/56 + 2\/7. Let c = -83\/3 - k. Factor 2\/3*g**2 - 4\/3*g**4 + c*g**5 - 5\/3*g + 4\/3*g**3 + 2\/3.\nAnswer: (g - 2)*(g - 1)**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2)*0\/1. Suppose 9*w - g = 4*w + 203, v = -w + 2*g + 46. Let r be -2 + 33\/18 + (-35)\/42 + 11. Calculate the highest common divisor of r and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/144)\/(5\/45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9333.0000777 - 9333. What is b rounded to six dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7549 = 100*m + 123*m - 68494. Is -15 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4554635.\nAnswer: 5, 97, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*14\/3*(-2 + 1). Suppose 23*g + 1635 = z*g. What are the prime factors of g?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*c - 11, 5*m - 3*m = 3*c + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 m when four letters picked without replacement from mjjjmmjjjmjmjjjj?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -1142, 0.3, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 77 = -2*h - 3*b, b = 3*h - 271. What is the greatest common divisor of h and 6497?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 + 5.11. What is the nearest to x in 3\/8, 0.4, -2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**(30\/13)*q**4*q\/q**(-2) assuming q is positive.\nAnswer: q**(577\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - 19. Let c = 129 + g. Solve c = z + 8 - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2\/2 - 495230*q - 990465\/2 = 0. What is q?\nAnswer: -1, 198093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. Suppose -88 + 28 = -5*b. Let i(g) = g**3 - 12*g**2 - 5. Let d be i(b). Put d, v, 0 in decreasing order.\nAnswer: v, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36, 59, 88, 123?\n\"Answer: 3*c**2 + 14*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 11 - (-2 + (1 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.049498nm in kilometers?\nAnswer: 0.000000000003049498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2. Let d(k) = 440*k - 7 + 21 - 474*k. Let x(p) = -7*p + 3. Let u be (-1 - (-10)\/4)*-2. Let y(m) = u*d(m) + 14*x(m). Give y(r(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*g**4 + 7 - 7)*(-9*g + 10*g - 42*g + (-1 + 3 - 4)*(g + 2 - 2)).\nAnswer: -516*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 549323783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -934 at most -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 56 = 5*x + 10, -2*q - 2 = 0. Suppose x = -0*d + 5*d. Find the third derivative of i**6 - 2*i**2 - 3*i**d + 4*i**2 wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 471 + -476. What is the closest to 0 in i, 1\/6, -153?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -74*f + 226. Calculate l(-6).\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 8*s - 6. Determine y(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.61, 0.5, -0.03.\nAnswer: -0.03, 0.5, 2.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 15*u = 3, 3*i + 3*u = 4950. What is the remainder when 1655 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12318*(6\/45 + 2\/10) and 22.\nAnswer: 45166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 414 and 54.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -195. What is i rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15743, -15358, -14715, -13814?\n\"Answer: 129*i**2 - 2*i - 15870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 193834.22*-4\nAnswer: -775336.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**3\/3 - 2*r + 43. Let z(n) = -8*n**2 - 10. Let m(b) = -5*s(b) + z(b). Let x(h) = 20*h. Give m(x(l)).\nAnswer: -1200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/3 in 48.6, 1\/4, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 1. Let d(y) = 3*y**2 + y + 5. Let i(w) = -5*a(w) - d(w). Is 16 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110310203 (base 4) in base 13?\nAnswer: -2ca83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.615 and -58299.469.\nAnswer: -58300.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/214 and 39\/110.\nAnswer: 11770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/288 and -53\/14.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -19*b - 255. Calculate the smallest common multiple of v(-21) and 702.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 127*i**2 - 126*i**2 + 7 - 3 + i - 2 to v + c*i + g*i**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 + -75. Suppose o = l + 5*y, 3*l = 3*y + 400 - 64. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3731 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 9. Let i(y) = -2*y + 2. Let s(h) = b(h) - 5*i(h). Give s(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (85443\/2998)\/((-3)\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 6. Let n be c(3). Is (-1 + 2)\/(n\/87) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7)**14*k**2\/(k*k\/(k\/k**(-9)*k*k)*k) assuming k is positive.\nAnswer: k**109","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (-315)\/6*(-4)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 117?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 4*n**2 - 6*n - 4. List the prime factors of k(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -29 + 12 + -5 + -8 - (11 + -1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 310099303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538792?\nAnswer: 2, 23, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.2 (c) 14 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 2920*h + 25956.\nAnswer: 4*(h - 721)*(h - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 - 161. Suppose 2 = c - 0. Which is bigger: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)\/t*t*t)\/t**(-1\/4)*(t\/(t**(-9)*t))\/t**(-4)*(t*t*t\/(t*t**(-5))*t*t*t*(t*t**(-8)*t*t)\/t)\/(t**8\/t**7) assuming t is positive.\nAnswer: t**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 89*i**2 + 29460*i + 400. Calculate t(-331).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + 7. Suppose 0 = -2*u - 0*u + b. Suppose -4*l = -5*k - 217, -5*l - 7*k + 12*k = -265. Calculate the highest common factor of u and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136468438 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 11 - 1906*m + 1 - 1519*m.\nAnswer: -3425*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -3, 22, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7240.503l?\nAnswer: 7240503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-8)*(-18)\/(-15). Let y be 20\/10 + 4\/m. Which is the biggest value? (a) -2\/3 (b) y (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-560)\/16)\/((-70)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -283759121 divided by 592399?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2 + 2*c**2 + c**2. Suppose 0 = 10*k - 32*k + 154374. Let m(t) = 2*t - k + 7017. What is m(v(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2489, 3841, 6059, 9137, 13069, 17849, 23471, 29929?\nAnswer: 37217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1068 and 14\/576453?\nAnswer: 2305812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 455096068 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - ((-209)\/19 - 6\/(-1)). Which is the closest to 2\/9? (a) h (b) 5\/8 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10694853.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 10*y + 24. Calculate s(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(3\/(-2) + 7\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 6, -65.\nAnswer: -65, 4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -2, -4, 2093 in decreasing order.\nAnswer: 2093, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 12*f - 5*f = 3*f - 476, -2*r - 2*f + 28 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 - r**3 + 6*r**3 + (-3*r + r + r)*(4*r**2 - 3 + 3) to the form b + v*r**2 + i*r**3 + j*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 357, 4.\nAnswer: -14, 4, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18221137 is divided by 980.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/2)*i\/(i\/(i**(6\/7)*i)))**(-1\/48)*(i**(-5)\/i**(-7))\/(i**(2\/3)\/i)**44 assuming i is positive.\nAnswer: i**(11153\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) -69 (b) -1 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 88c + -40?\nAnswer: 84c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - d**2 + d**2 - 3 + 3 - 2*d**2 + (4*d - 6*d + 0*d)*(d + 0 + 0) + 3*d**2 - 2*d**2 + 0*d**2)*(-13*d**2 + 8*d**2 - 17*d**2) + 3*d - 3*d - 2*d**4.\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1110 = -5*s, -200*b + 198*b + 222 = s. Calculate the remainder when 2014 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -118, -242, -368, -496, -626?\n\"Answer: -g**2 - 121*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736965 divided by 4.\nAnswer: -736965\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, -13.8?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 544.\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 69 - ((141 - 126) + -15)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12720)\/(-2464) - (-2)\/(-4)) + (-31)\/341.\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6*p = -4*p - 54, -3*p = -4*j + 69. Calculate the remainder when 47 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 13*u**2 + 14*u. Let w be n(-14). Suppose 3*o = -r + 19860, 0 = -w*o - 2*o + 5*r + 13240. What is o rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 4. What is u(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:00 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -26*j**4 - 18*j**2 + 69*j**3 + 2*j**4 - 62*j - 22*j + 24 + 3*j**4 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(330)*1*4)\/((3*sqrt(132))\/sqrt(12)))\/(6*(-3*((sqrt(5760) - sqrt(40)) + sqrt(40)) - sqrt(40) - sqrt(40))))**2.\nAnswer: 1\/38988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 850 and 71728450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1512 (base 7) to base 12.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-105)*-3*2)\/(13\/130*-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(6)\/sqrt(3)*5) + 5.\nAnswer: sqrt(3)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20538*v**2 - 8430*v wrt v?\nAnswer: -41076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 358500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 9. Let a(v) = 3*v - 13. Let o(h) = 5*a(h) - 8*p(h). Let d be o(16). Suppose -24 = 5*q - 2*q. Do d and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084082561 to the power of 1\/2, to the nearest integer?\nAnswer: 32925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -15 (b) -24 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - (-4 + -2 + (-10 - -7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 915285807 to the nearest ten thousand.\nAnswer: 915290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, r: 3, t: 2, y: 2}. Give prob of sequence ry.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11088 and 16632?\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 2*w**2 - 3*w**2)*(110 + 95 - 215 + 25*w + (3*w + 0*w - 2*w)*(-2 + 3 + 0) + 3*w - w + 0*w).\nAnswer: -56*w**3 + 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 12. Let i be z(6). Suppose 4*c + o + 592 - 2405 = i, 0 = -c - 4*o + 457. What are the prime factors of c?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 10*b + 3. Let w = -118 - -134. Let q be (-435)\/(-40) + 2\/w. What is l(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2276186*a**2 - 159*a + 1276*a + 2276186*a**2 + 1488*a**4 wrt a.\nAnswer: 17856*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d - 52*d + 0 + 6*d**3 + 30*d + 0.\nAnswer: 6*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**3 - 60*z**2 - 5*z - 119. Let p(d) = -4*d**3 + 25*d**2 + 2*d + 58. Calculate 2*c(f) + 5*p(f).\nAnswer: -4*f**3 + 5*f**2 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3162 (c) 1\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 76. Let o = 5 - k. What are the prime factors of o\/(-4)*6*(-1640)\/(-15)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 - 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2106 and 2109 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 20*q**2 - q - 14. Let m be b(-10). Let s be m\/1 + 6 - -1. Suppose 10*z - s*z = 385. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 5, 2*l = 4*u + 122. Let w = 35 + u. Is 16 a factor of 63 - (0 + (-5)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385012697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 358917155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) 6\/113 (c) 10 (d) -16 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 7*f**5\/330 + 17*f**4\/132 - 4*f**3\/11 + 49*f**2. Factor h(s).\nAnswer: 2*(s + 3)*(7*s - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -464 + 460. Let s be (3 - (7 - 4))\/(8\/z). Solve -82*k + 80*k + 8 = s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.41 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 54 = 4*z, -z + 0*z + 9 = -f. Suppose n = 4*r - 120, -3*r + 120 = 2*n + 19. Let g = r - f. Calculate the remainder when g is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b. Let h(a) = -24*a. Let x = -99 + 67. Let l = 9 - x. Suppose -2*i - l = -3*o, -3*i + 4*o = 84 - 20. Give i*m(c) + 6*h(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/4 - 588865*d**2\/4 - 588869*d = 0. Calculate d.\nAnswer: -4, 0, 588869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5799752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107885863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1425)*2 + sqrt(1425) - sqrt(57)) + (sqrt(57) + (sqrt(3648) - -1*sqrt(3648)) - sqrt(57)) + sqrt(57))\/(1*(sqrt(18)*1)\/sqrt(6)).\nAnswer: 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 37*p**2 + 48*p - 140. Calculate the least common multiple of w(-35) and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 + 2*o + 4*o - 7*o in the form p*o + s + i*o**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 18611208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-319)\/(-203) + 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -469 - -833. Let n = u + -319. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -63. Suppose 0 = -3*u + t*n - 3*n + 8, 5*u - 11 = n. Solve u*q - 11 = -3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 * 0.1.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1234371 is divided by 1352.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 1:34 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104985 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 - -380?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12.2731634 - 0\nAnswer: 12.2731634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1684 divided by 9\nAnswer: 1684\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 11*g + 15. Suppose 4*k = 9*k + 55. Let p be i(k). Suppose -2*z + p = 3*z + r, -r - 3 = -4*z. Put -4, 0, z in decreasing order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4491670107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62b4b - 1?\nAnswer: -62b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - l = 3*l + 6, l = -5*c + 11. Solve -w = -c*h - 4, 4*w + 3*h + 40 = 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*p + 832 = -1211, 4*k - 5*p = 2701. Is 97 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/9)*d)\/(d\/d**(-3\/5)*d*d)*d\/(d*d\/(d*d*d**6*d)*d)*d*d*d**(3\/10) assuming d is positive.\nAnswer: d**(613\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (915\/427)\/(((-95)\/(-76))\/(5\/2))?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -1775, -4002, -7123, -11138, -16047, -21850?\nAnswer: -28547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-56))\/(463\/7408))\/(148\/14)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/35 and -33\/801395.\nAnswer: 801395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/(-15) - (-1)\/(-5). Let n be (-4)\/12 - 55\/k. Suppose -4*v - 5*x + n = 0, -16 = -3*v - 0*v - 5*x. Solve 4*u - v*u - 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 + 174. Let g = m + -83. Let i = -69 + g. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 8803?\nAnswer: 149651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28796*z**4 - 5*z**3 - 1347684*z wrt z.\nAnswer: -345552*z**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 384*h**2 + 121*h - 122. Give m(1).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from basaclacll. What is prob of sequence csbl?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 10. Let a = -25 - c. Calculate the remainder when 0 - 1\/(2\/(-46)) is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - 81*g - 151. Let u be r(22). Sort 9, -3, u, -4, 5 in descending order.\nAnswer: 9, 5, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*n - 177 = 0, 2*n + 22*n + 108 = -3*m + 27*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -50*b**4 - 2*b**2 + 1503*b + 6. Let v(k) = -101*k**4 - 2*k**2 + 3005*k + 10. Let x(i) = 3*v(i) - 5*y(i). What is the second derivative of x(l) wrt l?\nAnswer: -636*l**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/sqrt(3)*-2)\/sqrt(9) - sqrt(63)\/((sqrt(99) - (sqrt(99) + (sqrt(99) - sqrt(99)*-4) - sqrt(99)))\/sqrt(11))) + 1.\nAnswer: -7*sqrt(7)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 + 0 - 3 - 5.\nAnswer: 8*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(1050\/25))\/(-1*(-1)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 9*r**2 + 2*r - 17. Let i be n(9). Put 3, i, -4 in descending order.\nAnswer: 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*y - 20 = 4*u + 254*y, -2*u + y - 6 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 4*q**3 + 0*q**3)*((-q + 2*q - 3*q)*(-2 - 3*q + 2) + 27 - 27 - 7*q**2).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-44)\/(r**(-2\/51)*r)*r**(-1\/4)*r**25 assuming r is positive.\nAnswer: r**(-4123\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75641?\nAnswer: 75641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from {q: 4, k: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -8 + -4 + 156 + 3. Suppose 3*y = 6*y + 2*u - 324, 197 = 2*y - 5*u. Let z = n - y. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.5 + 38. Let f be (15\/6 + -3)\/(-2). What is the third biggest value in 1, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f**2 - 3*f + 1. Let m be d(3). Let s be (867\/4 - 13)\/(3\/2). Let z = s - m. Calculate the common denominator of z and 67\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000050439766 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 8b55411?\nAnswer: -8b55415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -997231*j**3*q**2 - 166*j**3 + 55*j**2 + 21*j with respect to q.\nAnswer: -1994462*j**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 17*s + 3. Let c be w(-8). Suppose 22 = 3*a - c. Let n(v) = -v**3 + 11*v**2 + 12. What is n(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 306339*b**2 - 4*b - 1225356.\nAnswer: (b - 2)*(b + 2)*(b + 306339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 13*y**2 + 15*y + 6. Let n be l(12). Factor -44*j + 117*j**2 + 7 + n*j**3 - 3 + 5*j**3 - 3*j**3 - 121*j**4.\nAnswer: -(j - 1)*(j + 1)*(11*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2726 - -3945. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 114. Give y(14).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5959 and 6969?\nAnswer: 411171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75, 151, 227, 303, 379, 455?\n\"Answer: 76*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*c**3 + 101*c**3 - 16 + 2*c + 98*c**3 - 307*c**3 to the form f*c**2 + y*c + d + g*c**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/12 (c) -5 (d) 0.15 (e) -210\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dog. Give prob of sequence og.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -757 + 762. Is c smaller than -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 5*a**2 + 2*a**2)*(8 - 28 + 29)*(-3*a**2 - 2 + 0*a**2 + 3).\nAnswer: 81*a**4 - 27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6*30\/36)\/((-7600)\/(-32))\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55089665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*o**3*y**4 + 42*o**3*y**2 + 163974*o**2*y**2 + 1715*o*y**5 wrt y?\nAnswer: -4536*o**3*y + 102900*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-2)*16\/(-12). Suppose -4*d = 2*u + 56, -2*d = -n*u - u + 28. Let x be (-1 + 1)\/(d - -12). Which is smaller: 2\/15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6958757407 to the nearest integer?\nAnswer: 83419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 242639 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: Suppose 26*b - 84 - 98 = 0. Is 51 a factor of -1752*b\/(5 - 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-18080)\/1080 + ((-3)\/(-18) - 3\/2).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40342.53 to the nearest ten.\nAnswer: -40340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4963*h**4*n - 24*h**3 + 18*h*n + 101501679*n with respect to h.\nAnswer: 19852*h**3*n - 72*h**2 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 362*g + 11. Let z(o) = -204*o - 6. Calculate -3*f(b) - 5*z(b).\nAnswer: -66*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/((-72)\/(-60))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnuueuul. Give prob of sequence eulm.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + r - 1. Suppose 0 = 33*h + 15 - 81. Calculate n(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 32. Calculate z(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/((d*d\/d**18)\/d))\/d*d)\/(d*d**(-9)*d))\/(d**(-4\/3)\/(d\/(d\/(d\/((d\/((d\/(d\/(d**10\/d)))\/d))\/d)))*d)) assuming d is positive.\nAnswer: d**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(220\/30)*38\/3. Let n be (-45)\/(-6) - i\/38. Calculate the greatest common factor of 424 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -30*s**2 + 26*s + 4. Let x(u) = -21*u**2 + 2*u - 65. Let y(a) = -16*a**2 + 3*a - 43. Let g(c) = -2*x(c) + 3*y(c). Determine 2*f(v) - 11*g(v).\nAnswer: 6*v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37, -57, -89, -139, -213, -317, -457?\n\"Answer: -y**3 - 13*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26874 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = 2*g. Suppose -g*p - 117 = v, -v - 3*p - 72 = -8*p. Let m = -14 - v. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40492 and 39856?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142125686 a multiple of 4606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)*c)**(-1)\/(c*c**(-3)*c*c**(6\/5)) assuming c is positive.\nAnswer: c**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.94 + 0.06. Let z be ((-7)\/14)\/(1\/(-2)). Put j, -1\/4, z in decreasing order.\nAnswer: j, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70674114?\nAnswer: 2, 3, 7, 1682717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 8*m + 5*y, 4003*m + 97 = 4004*m - 5*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 5*k**2 - 3*k + 4. Suppose 4*m - 2*q = 768 - 86, 0 = -2*m + 2*q + 342. Let i be m\/(-4) - 2\/4. Let l = i + 40. Calculate j(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0 - 10. Let p(s) = s**2 - 3*s - 1. Let q be p(u). Let w = -6 + q. Solve -w + 1 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/4 - -1\/12. Let y = -4 - -4. Which is the biggest value? (a) 5\/3 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c**2 - 3*c - 3. Let z be s(-2). Let f be (40\/(-6))\/(2\/6). Let v be (0 - -1)\/((-4)\/f). Calculate the greatest common factor of z and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*r - 13 = -29, 3*k = -3*r + 18. Solve 0 = -5*y - k + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -3*h**2\/2 - 9. Let t(m) be the second derivative of -m**4\/4 - 18*m. Give v(t(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by ((-6)\/4)\/(6\/(-4)) + 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 192836705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11294089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/3 + 26*f**4\/3 + 44*f**3\/3 = 0. Calculate f.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvltltttttltl. Give prob of sequence lttl.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22269 + 0.07731. Sort -0.16, v, 0.075 in decreasing order.\nAnswer: v, 0.075, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -344?\nAnswer: -3\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 16) to base 7\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 4*u = 0. Suppose u = 64*f - 65*f - 3. Let t(a) = a**2 + 5*a + 3. Calculate t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 297*s - 12. Let z(l) = 295*l - 10. Calculate -6*i(g) + 7*z(g).\nAnswer: 283*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(86 + 9*q - 86) - 30*q + 12*q + 17*q + 15.\nAnswer: 17*q + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -42. Suppose -3*d - 2 - 4 = j. Sort -10, 4, d, -1.\nAnswer: -10, d, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10033*l**3 + 10032*l**3 + 0.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2210 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*c + 32 = 0, 2*o + o + c - 14 = 0. Suppose 0 = -s - 1 + o. Solve s*w = w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-3))\/(13\/(-5447)). Suppose -21*g + 400 = -c. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 take away 123?\nAnswer: -122.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6 = -4*q + 27, -2*q + 21 = 5*l. Suppose -5*d + 30 - 5 = 5*z, -l*d = -3*z + 9. Let t be (1 + (-6)\/8)*3. What is the closest to -1 in t, z, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 868.76 from -1671.45.\nAnswer: -2540.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 71*d + 28*d**3 + 71*d - 2*d**2.\nAnswer: 28*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**2 + 14*l - 15. Let d(g) = -4*g**2 + 7*g - 8. Let s(y) = 5*d(y) - 3*f(y). Calculate s(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1634\/5 - -328. Suppose -237*k - 2 = -238*k. Let -s*m + 4\/5 + 2\/5*m**k = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 9*j + 2963 = 6*j, j + 1777 = 3*w. Is 41 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**2\/2 + 14*h - 28. What is c(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 654 = 19*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - y - 587615 = -y. What are the prime factors of y?\nAnswer: 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2944 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 618299640 rounded to the nearest one hundred thousand?\nAnswer: 618300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieieeeeiriiditeei. What is prob of sequence td?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -140, -138\/157, 0.6?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6*r\/(r\/r**(-4\/5)))\/(r\/(r*r**(-2\/5)\/r))**21)**(10\/3) assuming r is positive.\nAnswer: r**(-242\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/10 - j**4\/4 - 4*j. What is the third derivative of c(a) wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (-6 - 33 - -44)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 3)\/(4\/52). Suppose -59*m + a = -62*m. Is m bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.83287 - -0.24113. Which is smaller: -2\/3 or i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 5*v**2 + 2*v + 4. Let c be x(-6). Suppose 0 = 5*n - 2 - c. Solve n = 3*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4)*(3*f + f - 6*f) + (-2*f - f + 8*f)*(3 - 4 + 2).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.044 + -231.544. Let s = a + 231. Put -1, s, 27 in descending order.\nAnswer: 27, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/9 - 2288*n**4\/9 + 18644*n**3\/3 - 158048*n**2\/9 - 4498538*n\/9 + 3109216 = 0. What is n?\nAnswer: -1168, -9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 3. Suppose 9*t = 6*t - 9. What is the closest to 0.1 in 0.2, r, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/3 (b) 0.5 (c) 361 (d) 4\/9 (e) -1\/3 (f) 35\/3 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**4 - 11410*m**3 + 802545*m**2 + 8265760*m - 9056900 = 0?\nAnswer: -10, 1, 82, 2209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 318, -0.5, 4\/7, -0.2, 780, -0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60458, -120988, -181520, -242054, -302590, -363128?\n\"Answer: -g**2 - 60527*g + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21576 divided by 348?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**5 + 3*h - 3*h)*(1 - 1 + 2)*(2 + 0 - 1).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/(z**(6\/11)*z)))*z)\/z)\/z**(2\/5))\/(z**(-7\/6)\/((z*(z\/(z*z\/z**(-1))*z)\/z)\/z)) assuming z is positive.\nAnswer: z**(-587\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 0 - (88 + -95). Let g(x) be the second derivative of x**4\/12 - x**3\/2 + 2*x**2 - 3*x. Determine g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 13*q**2 + 15*q - 5. Let o be u(-13). Let y = o - -215. List 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 158 minutes before 6:02 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1841.\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*q - 222*q**2 - 125*q + 243*q.\nAnswer: -222*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, -4323, 6.\nAnswer: -4323, -5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 3*i + 24 = 0, -i = -3*a + 18. Sort a, -5, 0.4, -3.\nAnswer: -5, -3, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**5 + 19436*q**4 + 16165864*q**3 + 4874544216*q**2 + 491341116564*q - 2580602081220 = 0.\nAnswer: -3901, -321, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 440 = -524. Calculate the remainder when 1281\/4 + (2 - (-18)\/(-8)) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -498 + 536. What is the remainder when 415 is divided by d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5737 divided by -12\nAnswer: 5737\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/601 (b) -4 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 != -354\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/48308 and 127\/991510.\nAnswer: 1842225580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/9)\/(k\/k**(-1\/22)))\/(k\/(k*k**(-1\/11))*k\/((k*(k**(-1\/11)*k)\/k)\/k)))**50 assuming k is positive.\nAnswer: k**(-10475\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {n: 4, b: 2, h: 3, v: 1, t: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/27)\/(2071\/114 - 18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2401 = 2*c, 3*o + 4753 = 58*c - 54*c. Calculate the remainder when c is divided by 148.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/828 and -1\/5076?\nAnswer: 116748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 + 548\/(-10))\/((-2)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 32.87. Round r to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.17009 and 21.05.\nAnswer: 20.87991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59, -78, -115, -176, -267?\n\"Answer: -k**3 - 3*k**2 - 3*k - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 3. Let h be o(-10). Find the common denominator of 198\/56 + h\/(-28) and 3\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (270\/24)\/((-120)\/(-192)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 + 64*c + 35. Let d(l) = -l**2 + 21*l + 12. Let w(t) = -7*d(t) + 2*m(t). Let b be w(-12). Calculate the greatest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z - 40. Let u be m(9). Let i be u + -1 - (-200)\/(-48). What is the second smallest value in 0.3, -1, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 488*a**3 + 9*a - 2 - 490*a**3 + ((0 + 1 - 2)*(1 + 3 + 5) - 3 + 5 + 1)*(0 + 3*a**3 + 0) in the form l + u*a**2 + z*a**3 + y*a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868216 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222272312.\nAnswer: 2, 27784039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*p + 929*p - 7988 - 4733 = -2068 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 139 = -2*k - 127, 5*t - 2*k = -6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 + -1)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06643 and -9.2.\nAnswer: -9.26643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2105152 (base 9) to base 3.\nAnswer: -2010012011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) - (sqrt(297) - sqrt(297)*-1))\/(4*sqrt(27) + sqrt(3)) + (4 + (-1 + sqrt(11))*-4)*-4.\nAnswer: -32 + 205*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1004248 + -150?\nAnswer: -1004398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(143024\/(-28606) - (28 - 33)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 51 = -12*g + 5 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 376 + -367. Sort 2, w, -4, -1 in decreasing order.\nAnswer: w, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/2 + 25*v**2\/2 + 143*v\/2 - 169\/2 = 0?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 393737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by -7\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 33. Suppose 11*i - 4 = -m. Solve -40 = 5*s + 5*j, -2*j - 8 = -i*j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -8*c**3 - 14*c**2 + 28*c - 6 = 0.\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 4977384.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 2*a**2 - 3*a + 6. Let z be o(3). Let c be (-6308)\/(-144) + (-4)\/z. Let t = -13\/36 - c. What is the common denominator of 143\/6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 4. Suppose -3*u + 3 = 0, -2*k - 2*k = 2*u - 10. Let m = k - 2. Is t > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50417762, -201671043, -453759844, -806684165, -1260444006?\n\"Answer: -50417760*j**2 - j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -11 (b) 5 (c) 0.8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 894515201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 4\/3)\/(29\/((-58)\/(-12))). Find i such that -2\/9*i**4 - p*i**3 + 0*i**2 + 2\/9 + 4\/9*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + r = 2, 2*r - 2 = 3*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35362132 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -3 - 2 - (-24 - (137 + -146)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -168*x + 1853. Let q be h(11). Sort 2, q, -197.\nAnswer: -197, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 553 (b) 0.4 (c) 6\/11 (d) 0.5 (e) 48 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 22*v + 82. Let h be g(25). Suppose -3*p + 36 = -4*t, 5*p - h*t = -10*t + 31. Solve -4 = c - 2*d, -2*c + 0*d - 5*d - p = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 1. What is the least common multiple of 9 and x(11)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 409 and 0.191.\nAnswer: 409.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.9 + -22. Let x = g + -7.90501. What is x rounded to 4 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6 - 142*f**4 - 11*f**3 + 3008*f**2 + 2*f + 2.\nAnswer: -120*f**3 - 3408*f - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48277, -96538, -144799, -193060, -241321?\n\"Answer: -48261*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -310, 18, 2, 4\/19?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((h - 5*h + 3*h)*(-2 + 1 + 2) + 2 + 2*h - 2 - 3*h + 0*h + h + 17815 + 3435*h - 17815)*(1 - 1 - h**2) to n*h**3 + z*h + k + r*h**2 and give n.\nAnswer: -3434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, k: 3, m: 2, b: 1, q: 2}. Give prob of picking 2 k and 1 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g**2 - 110*g + 4. Let u be p(10). Suppose 2*w + 2*r - u = w, 3*r = w - 129. Is w a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62.03 - 61. Let m = 1 - k. Which is the closest to m? (a) -0.5 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14030 - 1050?\nAnswer: 12540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58 and 1169617.\nAnswer: 67837786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28536 - 27870. Solve 674*p + 24 = i*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/8)\/(2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-45)*5*-501. Let z = 112 - p. Let j = -6 - -5.9. What is the closest to 0.1 in j, 1, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 6*z + 14. Suppose -2*f - f + 195 = 0. What is the remainder when f is divided by d(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 65*p**2\/2 - 67*p - 40. What is the derivative of t(c) wrt c?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -u - 3*u. Let v = 526 + -543. Let d = 20 - v. Calculate the remainder when d is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.101 + -10.101. What is the third biggest value in l, -3\/2, -2, 0.9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 68372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 3)*(-2*v + 14*v - v) as o*v + k and give o.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhhz when four letters picked without replacement from {h: 3, z: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*q - 100*q - 99*q = 113*q + 285 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702388820 rounded to the nearest 100000?\nAnswer: 1702400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4105, -4284, -4463, -4642?\nAnswer: -4821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7190292 is divided by 6220?\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101000010000 - 100?\nAnswer: 100101000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 15774*u + 47340.\nAnswer: -2*(u - 7890)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65680 divided by -20.\nAnswer: -3284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 2*u**3\/3 - u**2\/2 + u. Let l(i) = -5*i + 2. Let j = -2129 - -2125. Calculate j*f(c) - 3*l(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, -3, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 354095731?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2118\/13? (a) 0.16 (b) -14 (c) -6 (d) 3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 564585104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797145, 1594604, 2392063, 3189522, 3986981, 4784440?\nAnswer: 5581899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 20\/((-5)\/(-1)). Suppose -k*n = -2*t - 3, -n + 2*t - t = 0. Calculate the highest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:02 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/158 + 305\/1738. Let y = 1 + 4. Suppose -5*b - y = -0. Are w and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5256920.43 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.217548 rounded to two decimal places?\nAnswer: -12.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Let z = 2 + o. Suppose z = 2*k + 4*f - 174, -61 = -3*k + f + 172. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -3e?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 42120 and 41673 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*u**3 + 0 - 12*u - 1 - 10*u**3 - 8*u**3 to r*u**2 + q + m*u + v*u**3 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 1, e: 1, r: 1, o: 1}. Give prob of sequence orj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3 - -3) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 51 = 65. Let a(v) = v**2 - 6*v + 6. What is the smallest common multiple of a(6) and 2\/r + 1017\/63?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848341761?\nAnswer: 7, 264048823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s - 5 + 2*s**2 + 13 - 3 + 2*s. Suppose 0 = 4*a - 6 + 22. Let k be w(a). What is the greatest common factor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 5*k + 2. Let o be f(-6). Let v be (-26)\/o + 4\/(-8). Let d(c) = 3*c - 7. What is the least common multiple of 10 and d(v)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 11\/2*d**4 + 1331*d**2 + 0 + 17*d - 121*d**3 - 1\/10*d**5. Determine t, given that w(t) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000798867646 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 57. Let r = i - 48. Which is the third smallest value? (a) 3\/8 (b) -2 (c) r (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4920?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/6489211 + 68454690823\/6463254156. Let y = 29\/166 - l. Find the common denominator of -1 + 143\/(-40)*-2 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8075, -16472, -25191, -34232, -43595, -53280, -63287?\nAnswer: -73616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-11)*u*u**(1\/12)*u)\/(((u*(u*u*u**(-6\/7)\/u*u)\/u)\/u)\/(u\/((u*u*u\/(u\/u**(-3)))\/u))))**(1\/34) assuming u is positive.\nAnswer: u**(-509\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**4\/24 + 251*m**2. Let j(l) = l**2 + 5*l. Let s(g) = -j(g) - 5*u(g). Let r(i) = -70*i**2. Give r(s(d)).\nAnswer: -70*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)*d\/d**(-37))**(-7) assuming d is positive.\nAnswer: d**(-2380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3294*v = -595 - 25405 - 53056 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*d + 27 - 10 - 4 - 12.\nAnswer: 129*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2075*m**2 + 1032*m**2 + 1045*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1*sqrt(68))*3)\/(4*sqrt(36)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1150544 months to centuries.\nAnswer: 0.000929212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12802960922.89999377 - 12802959889.9. Let r = i - 1033. Round r to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wup when three letters picked without replacement from {y: 3, p: 1, w: 5, u: 2, g: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -2. Suppose -b = -3*y - 0*y. Solve 0 = 3*j - 5*j + 6, -y*o - j = -23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f\/(f*f\/(f\/f**(-4))))\/f))\/f**11)**(-10\/7)\/((f**(-8\/7)*f**(-4))\/(f**1)**24) assuming f is positive.\nAnswer: f**(324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 581 + -256. Suppose -4*z - 3*d - 94 = -k, 294 = 5*z + 2*d. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*t**4 + 36\/5*t - 4\/5*t**3 + 8\/5 + 36\/5*t**2 = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -267208 or -267210?\nAnswer: -267208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620164296.\nAnswer: 2, 3, 107, 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*x - 161*x + 7636 = 0. Calculate the smallest common multiple of 8 and x.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -0.69 (c) 124 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21*(3 + (-6 - -4)\/6). What is the greatest common divisor of 658 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14784)\/(-9240) - -137*(-2)\/165.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-84)\/(-315)*(4 - (-38)\/(-8)). Let x be (46\/(-21) + 2)*-3. What is the smallest value in -2, -5, x, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272215 - a - 272215.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(144)*-1)\/(sqrt(242) + (sqrt(242) - -3*sqrt(242))*-1).\nAnswer: 6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16072025 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: Which is the nearest to 0.2? (a) -6\/7 (b) -0.5 (c) -26 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13015 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -8112*i**4 + 936*i**3 + 32421*i**2 - 3744*i + 108 = 0. What is i?\nAnswer: -2, 3\/52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 1 + y + y - y**2 + 2 - 1. What is the derivative of r(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + i**4 - 3*i + 6*i + i**3 + 3*i - 5*i as m*i**4 + a*i**3 + s + b*i + l*i**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11304, 22608, 33912?\n\"Answer: 11304*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -415*n**2 + 0 - 3 + 476*n**2 to the form t + g*n + i*n**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeffffmeeefefffffff.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-13)*d*d)\/(d**1\/d*d))**1 assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 118 + 2658 = 0. Calculate the common denominator of 67\/2 and 1\/(48\/b) - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947717467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378840 and 21448?\nAnswer: 145095720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 34*i**2 - 6*i. Let y(q) = 5*q**2. Let r(l) = -d(l) + 3*y(l). Let j(f) = -f**2 + f. What is -6*j(t) + r(t)?\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -701 + -3317?\nAnswer: -4220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*h - 120*h + 356589*h**2 + 179367*h**2.\nAnswer: 535956*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(-1 + n**2 + 1) - 2*n**2 + 3*n**2 - 4*n**2 + 0*n**2 + 0*n**2 - 3*n**2 + 4160 - 62*n**2 - 4160.\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/1*(-6)\/(-7)*389893\/(-3052).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 850*l + 433*l - 419*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + u - 7*u + 8*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 1. Let j(t) = -t**2 - 2*t + 3. Let s be j(n). Suppose y = 5*c - 2 - 45, -2*c + 4*y + 8 = s. Calculate the least common multiple of 6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 + 12 = 0. Let j be ((-12)\/(-5))\/(6\/40). Suppose 4 + j = -i*w. Which is the smallest value? (a) 1\/6 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 273 + 105 = 0. Let r = -167\/4 - y. Find b, given that b - 3\/4*b**2 - r = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 1. Let i(g) = -18*g - 4. Let a = -9299 + 9298. Calculate a*i(z) + 4*f(z).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 58. Let u = -0.103 - 40.897. Let t = u - -40. Which is the closest to z? (a) -2 (b) 14 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870 + 1919 = -183*l + 1088 - 1959 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + -1. Let k = s + 12. Suppose k*v + 53 = 3*p, 3*v + 19 = -4*p + 73. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/18 + (-114)\/(-270). Put x, 1, 2 in increasing order.\nAnswer: x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u, -7*m - 15 = -12*m - 2*u. Let l(n) = -4*n + 6 + 0*n + m*n + 0*n. Determine l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*b - 3*u + 64, 0 = 5*b + 5*u + 80. Let r = -4 - 4. Let f = r - b. Solve z + f = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/((-20)\/(-4)))\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 15*j - 3. Let t be d(-15). Let b(p) = 10*p + 7. Let u(n) = n. Let c(g) = t*u(g) - b(g). What is the first derivative of c(m) wrt m?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -13*h**3 - h**2 - h + 1. Let g be t(1). Let q(n) = -2*n - 31. Let p be q(g). Is -2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 84 + 133. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56325.859 rounded to the nearest 1000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 15*j**2 - 52*j + 14. Let v be f(10). Which is the nearest to 1\/2? (a) -2 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*h**2*s**3 + h**2*s**2 - h**2*s + 5*h*s - 2*s**3 + 12 wrt s.\nAnswer: 288*h**2*s + 2*h**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.995 grams in micrograms?\nAnswer: 984995000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 57*s - 145. Solve -852 + 840 = s*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 253, 90, -73, -236, -399?\n\"Answer: -163*p + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-3))*v)\/v)\/v*v**(-4\/9) assuming v is positive.\nAnswer: v**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**5 + 2*z**4 + z**3 + z**2 - z. Let h(i) = i**5 + 18*i**4 - 21*i**3 - 37*i**2 + 81*i - 36. Let m(a) = h(a) - 3*u(a). Factor m(n).\nAnswer: 4*(n - 1)**3*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 0, 4*d - 7*m = -4*m + 3200. Suppose 61*x = 57*x + d. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let h(t) = 222*t**2 + 5. Let y(d) = -108*d**2 - 3. Let q(n) = -3*h(n) - 5*y(n). Give r(q(k)).\nAnswer: 31752*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1\/3)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*m + 5 = -3*o, 0 = -4*o - 2*m + 36. Suppose -45 = 5*v - 60. Let j be 4\/(-31 + v) + (-87)\/(-21). Solve 2*i - o*i + 23 = 3*k, 0 = j*i - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 526863*f**2*y - 2*f*y + 33060*y + 17 wrt f?\nAnswer: 1053726*f*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 3\/4 (c) 30131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from wxwwidxiidxixhix.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33012 (base 5) to base 14\nAnswer: b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + sqrt(108) + (3*sqrt(108) - sqrt(108)) + 4.\nAnswer: 4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 1. Let g be f\/7 - (-23)\/7. Suppose g*y - 5*r - 298 = 0, -3*y + 0*y + 284 = 2*r. Calculate the remainder when y is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 0*y + 3*y + (-49 + 17*y + 49)*(2 - 5 + 0).\nAnswer: -50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -570 + 600. Solve -w*n - 16 = 44 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 162 = 0, 10*u - 14*u + 5*u - 51 = -2*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 4*s**2 - s + 2*s**2)*(94 + 91 - 59).\nAnswer: 126*s**2 - 126*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5*y)\/y*((y\/(y\/y**(-2\/33)))\/y)\/y*(y\/y**(1\/2))**(-1\/6))**(12\/13) assuming y is positive.\nAnswer: y**(29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.116 - -2.99.\nAnswer: -42.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52041417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 56?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2223 divided by 19.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 24*p**2 - 167*p - 689. Calculate u(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.49441 and 36826449?\nAnswer: 36826448.50559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -3. Let i(r) = 6*r**2 - 2. Let a be i(2). Let l(g) = n*g**2 + 11*g**2 - a*g**2. Let d(k) = -4*k**2. Calculate l(d(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60280 - 24?\nAnswer: -602a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 - 11*p**2 - 2 + 18*p - 41*p)*(-14*p**3 + 11*p - 11*p).\nAnswer: 42*p**5 + 322*p**4 + 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -8116.\nAnswer: -1\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.818 rounded to 1 dp?\nAnswer: 84.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, z: 2, p: 5, h: 3}. What is prob of picking 1 z and 1 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3694.1 - -3687.1. What is the second smallest value in 0.4, 0.074, -1, x, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from cccqcbbbbnr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - x + 15 = 0, -5*x + 35 = 3*l + 2*l. Let o(g) = g**3 - 3*g**2 - 3*g - 1. Let s be o(l). Solve -s*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006451 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t. Let s(r) be the second derivative of -3*r**5\/20 - r**4\/12 + r**3\/2 + 5*r. What is -7*a(i) - 2*s(i)?\nAnswer: -i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 253289359 to the power of 1\/2, to the nearest integer?\nAnswer: 15915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1645 is divided by 540.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 124*p. Let t(q) = -127*q + 49*q + 43*q + 30*q. Determine t(l(h)).\nAnswer: -620*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g = 480 - 480 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 60 = 7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2290 - -2288 - 20\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4382210160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 1, z: 1, y: 3, u: 5, x: 2}. Give prob of picking 1 x, 2 r, and 1 f.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 l, and 1 v when four letters picked without replacement from {w: 4, l: 2, x: 1, v: 1, m: 2, r: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from oifqioixyoqqy.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 7*d**2 - 6*d + 10. What is b(8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3*v - 127*i**3*z**2 - 216*i**2*z**2 - v*z**2 - 2822*v*z wrt v?\nAnswer: -i**3 - z**2 - 2822*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2 and 197\/2730.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2584 by -5.\nAnswer: -2584\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58861 and 16053?\nAnswer: 176583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*k = -2*s + 5, 0 = 4*s - 3*k + 9. Sort 20, s, 2 in decreasing order.\nAnswer: 20, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17493323\/35 <= 499810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -58, -109, -176?\n\"Answer: -8*z**2 - 11*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 130? (a) -2\/11 (b) -6 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 44, 99, 176?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5672691*l**3 + 2292827 wrt l?\nAnswer: -17018073*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 2*s**2 + 2. Suppose n = -0*a - 2*a + 10, -8 = 2*n. Let u = a - 9. What is the units digit of m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1794, 1780, 1784, 1818, 1894, 2024, 2220?\n\"Answer: 2*p**3 - 3*p**2 - 19*p + 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190358\/20 - (-4)\/40 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/60 - 47*u**4\/24 + 118*u**3 + 2*u**2 - 4*u - 183. Factor r(y).\nAnswer: -(y - 12)*(y + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 182\/70 + 2\/5. Solve 3 = 2*z + g, 3*z + z - s*g = 31 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 27 = k, 198 = 4*k + 3*d - 5*d. Let n = k + -23. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19335983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:33 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y - 4. Suppose 0 = 2*i - 0*i + 30. Let u be (-8)\/i*6\/(-8). Which is the second smallest value? (a) u (b) -3\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2\/3 + 2350850*v\/3 - 276324786125\/3.\nAnswer: -5*(v - 235085)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7623 - 7630. Let a(i) = -5*i**3 - 7*i**2 - 4*i + 11. Let r(y) = 3*y**3 + 4*y**2 + 2*y - 5. Determine q*r(x) - 4*a(x).\nAnswer: -x**3 + 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -8. Let t = w - 0. Solve 0 = -4*a - 9 + t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -6. Let q be ((-5)\/z)\/(-5)*-9. Suppose 2*t - 5*t = q. Is -1 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111048, 222106, 333144, 444156, 555136?\nAnswer: 666078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:44 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 70.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 756 = -2*s. Let k = s + -12. Calculate the least common multiple of 4 and k.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum -434.63743 and -17.4325.\nAnswer: -452.06993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, c: 2, k: 1, n: 1, p: 1}. What is prob of picking 2 y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let q = -1 - x. Put 2, q, -1 in ascending order.\nAnswer: q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -4*f**3\/3 - 1. Let x(k) = -6*k + 7. Let q(t) = -2*t + 2. Let a(h) = 7*q(h) - 2*x(h). Determine n(a(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 11:36 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 2:17 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2604715571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3196244069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*o - 1716 = 764*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10158465.2 rounded to the nearest 100000?\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 9*d - 4*p + 13, p - 2 = 0. Calculate the least common multiple of (-15)\/1*58\/(-174) and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**2 - 34850*b + 34850*b - 12*b**2 - 264*b**2.\nAnswer: -255*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = b - 3, 6 = -2*r - 4*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 2*d**2 + 0*d**2 + (3*d**2 - d**2 - 4*d**2)*(2 + 0 + 1).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.124 - 0.024. Does j = -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059921 is divided by 353.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -57*z - 33. Let d(h) = -7*h - 4. Let j(o) = -4*c(o) + 33*d(o). Determine j(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 67, 103, 137, 169?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 201, 343, 465, 561, 625, 651, 633?\n\"Answer: -o**3 - 4*o**2 + 161*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35765330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 55. Let k(l) = l + 1. Let p be k(-7). Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*h**2 - 34 + 95*h**2 + 34.\nAnswer: 37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - 32*c**2 + 96 + c + 20*c**2 + (-2*c + 4 - 4)*(2*c + 0*c - c) + c**2 - 5*c**2 + 3*c**2 to the form x*c**2 + f*c + i and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2283? (a) 4\/5 (b) 6 (c) 64.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - 17 - (-2 - 3) - 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37389068179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12499 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2477*c + 14816. Give w(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (11 - -1) + -146 + 119.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 23*w**2 + w - 8. Let g be h(23). Suppose -4*j + g = -j. Solve j*r + 2 + 3 = 4*u, 0 = 2*u - 3*r - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 24. What is q(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104895 and 1365?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20132 - -0.11782.\nAnswer: -20131.88218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2. Let y(k) = -7*k**2 + 6*k. Let j(a) = -15*a**2 + 13*a. Let d(m) = 6*j(m) - 13*y(m). Give w(d(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 2, -4, -3, -5, -2 in increasing order.\nAnswer: -5, -4, -3, -2, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 1:27 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.1, -0.04, 0, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6547400 to the power of 1\/2, to the nearest integer?\nAnswer: 2559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 - 1.4. Let t = -10 - -7.5. Let c = l - t. Put -1\/2, c, 2 in decreasing order.\nAnswer: 2, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2 - 20*o - 40*o + o**2 + 55*o - 3*o**3 - 17*o**2. Let d be a(-5). Find l such that d*l + 28\/9*l**3 + 2\/9*l**5 + 32\/9*l**2 + 4\/9 + 4\/3*l**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1399264 + 2254595. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/10 - 1636\/(-40)*2?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 565998 and 2480.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -339 - -338. Which is the nearest to r? (a) 0 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16.1? (a) 3 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/5 + 30*q**4 - 266*q**3 - 30*q**2 + 1328*q\/5 = 0. What is q?\nAnswer: -83, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 396720 divided by 335?\nAnswer: 79344\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 4, r: 2, o: 1, u: 1}. What is prob of sequence eu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12800 and 38656?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*u - 466*u - 11277. Let h(z) = -z**3 - 19*z**2 + 40*z - 57. Calculate h(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1215 - -6?\nAnswer: -120b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvoaoooovaro. What is prob of sequence or?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -72. Let p(a) = -j - a + 22. Let i(r) = 10*r**2. What is p(i(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 = 6*n + 3*q, -3*n - 21 = -3*q. Put 4, 2, n in decreasing order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 2 - 27 + 25 + 9*y**3 - 13*y**3.\nAnswer: -4*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -11*d**2 + 8*d + 8. Let y(o) = -4*o**2 + 3*o + 3. Let j = -1 + 4. Let n(b) = j*p(b) - 8*y(b). Let t(w) = -5 - 4*w**2 + 5. Determine n(t(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 + 920*w + 1824 = 0.\nAnswer: -228, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 20 + 0*l + 2*l - 30. Let d be n(6). Factor -1\/4*r**3 + 0*r + 0*r**d + 0.\nAnswer: -r**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -2242?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/53, -0.07 in increasing order.\nAnswer: -4, -0.07, -1\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -372556018?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15252 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**6\/75 - 3*t**5\/10 + 6*t**4\/5 + 28*t**3\/3 - 760*t. Let c(j) = 0. What is j?\nAnswer: -2, 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11529561 divided by 1?\nAnswer: -11529561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275\/2 - -2229\/16. What is the common denominator of p and 19\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 20 = -46. What is the remainder when 38 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(1\/3))**(-29))**29)**(2\/137) assuming f is positive.\nAnswer: f**(-3364\/411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/6 - 2*t. Let d(s) = 9*s**2. Calculate h(d(p)).\nAnswer: 162*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 + 15*q**2 - 39*q + 7. Let f be l(3). Which is the second biggest value? (a) -5 (b) 5 (c) f (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tldb when four letters picked without replacement from {d: 1, q: 1, z: 2, b: 1, l: 2, t: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 7*i**4\/3 - 1829*i**3\/3 + 1385*i**2 - 2851*i\/3 + 518\/3 = 0.\nAnswer: 2\/7, 1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*z - 2, 8 = -5*m + z - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-4 + (-12)\/(-4)). Let g(o) = -o - o + 6*o. Determine g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**3 - o**2 + 4*o - 3. Calculate y(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0179 - -0.5379. Let g = 0.48 + j. Let n = 9\/55 + 7\/11. Which is the biggest value? (a) n (b) -2\/9 (c) g (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14556816 is divided by 1006?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -y + 40, -7*k + 112 = 4*y - 3*k. Suppose 29*i = 26*i + y. Differentiate 18*q**2 - 795*q + 795*q - i with respect to q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -72*j. Suppose -15 = -46*i + 43*i. Let l(r) = -r. Let u(z) = i*l(z) + t(z). Let c(x) = 2*x**2. Calculate u(c(w)).\nAnswer: -154*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47069 - 20.5?\nAnswer: -20.97069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(14852\/(-1128) - (-48)\/3)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1 + sqrt(80) + sqrt(80) - sqrt(80)) - (-2 + (sqrt(80) - sqrt(80)*1) + sqrt(80)))*-2 + 3 + (sqrt(80) + 2)*-4 + 3)**2.\nAnswer: 768*sqrt(5) + 5264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/7 - 4510*u**2\/7 - 90928*u\/7 - 23400 = 0. What is u?\nAnswer: -18, -2, 2275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-7)\/(-406)). Let h = v - 19. What is the second derivative of -2*q**2 - h*q - 2*q - q**2 + 0*q**2 wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.9 - -0.9. Let i be ((-7 - -5)*1)\/(2\/(-7)). Suppose 3*u = w - i, -3*w + 18 = -4*u + 7. What is the third smallest value in -1, k, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - 319. What is the common denominator of f\/(-32)*(-1)\/158 and -79\/12?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1426234 - 0?\nAnswer: 1426234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -407 != -412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -11)\/((-2)\/5) - (-8)\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668*-6.\nAnswer: 4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 66777*-259\nAnswer: -17295243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(7) + -2 + sqrt(21)\/sqrt(3))**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 468 = 102*s - 7*s. Factor 3\/5*o**2 - 4\/5 - 1\/5*o**s - 4\/5*o + 2\/5*o**3.\nAnswer: -(o - 2)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1022928 and -53\/1150794?\nAnswer: 9206352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874 rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183853 is divided by 394612.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4394*i + 66829. Give j(-15).\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6)*9)\/(101\/(1252400\/150))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1104*i - 133. Is m(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109735488?\nAnswer: 2, 3, 19, 37, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*l + 10 = 2*l, 2*a - 5*l - 19 = 0. Suppose -4680000 = -0*q - 4*q. Suppose r = -a*r - q. What is r rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1803 or 726253?\nAnswer: -1803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 2 (c) 0.4 (d) 5\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u - 4. Let z be q(3). Let p = 20 - z. What is the nearest to p in 1, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 88, 123, 142, 139, 108, 43?\n\"Answer: -j**3 + j**2 + 49*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in 32, -3, -63, -0.4?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111567*l*x - 5080932*l + 65*x with respect to x.\nAnswer: -111567*l + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 914\/7. Sort 0.09, 1, v in descending order.\nAnswer: 1, v, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352 divided by -4.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20841322 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 = z, 3 = 3*t + z - 2*z. Suppose -5*g + 3*o = 5, g - 4 = t*o - 5. Which is greater: g or 2\/179?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 397496250*z + 13166939063671875.\nAnswer: 3*(z - 66249375)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 1080 = -1052 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/8)\/(4\/(-24)*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = 2243 + 20046. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 - -98.000157. Round u to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - 0.08. Let t = 7 + -10. Let o = 0.6 + 1.4. What is the closest to b in -2\/13, t, o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*l - 11*l - 39. Let h be l\/(-2)*(-220)\/11. Solve -h = -m - 28 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -23390.\nAnswer: 1\/4678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104601 and 714.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 15 - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 9. Let f be c(-12). Which is smaller: -0.1 or f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2\/61, 0.4, -1\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - n - 10, n = 19*p - 21*p + 5. Let d(z) = 8*z**3 - 17*z**2 + 4*z - 11. Is d(p) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -18*q**2 + 4966*q - 112. What is g(276)?\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -8. Suppose -6 = -4*y - f. Let u be y\/9 - 306\/81. Which is the smallest value? (a) u (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1155, -9165, -30903, -73233, -143019?\nAnswer: -247125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (88\/(-10))\/((-4)\/10). Suppose -4 = 3*s - c. Let o(n) = -2*n + 7. Give o(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51435)\/(-61722))\/((-140)\/(-2))?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/11 - 2780*a**2\/11 + 13942*a\/11 - 11160\/11 = 0.\nAnswer: -1395, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -b99 (base 16) to base 12\nAnswer: -1875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d - d**2 + 0*d - 3*d + 1. Let w(o) = -o**2 + o - 2. Let q be (-1 - 6\/(-8))*(132 - 136). Determine q*c(n) + w(n).\nAnswer: -2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35.7 (b) 1\/45 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v - 2, -o + 24 = 5*v. Suppose 0 = -2*r + 3*f + 18, -3*f + f = -2*r + o. Solve 0 = -r*n - 2 - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1642804 - 494408 = -108*k. What are the prime factors of k?\nAnswer: 7, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8001 by -9.\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 52, 38, 3, -29, 5 in decreasing order.\nAnswer: 52, 38, 5, 3, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 6:55 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92960890?\nAnswer: 2, 5, 11, 845099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -462692*c**2. Let s(f) = 20*f. What is b(s(k))?\nAnswer: -185076800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(304) + 1 - sqrt(304) - sqrt(304)) - (1 + (sqrt(304)*-1)**2) - (sqrt(304)*-1*-6 - (sqrt(304) - (sqrt(304) + 1*sqrt(304) + sqrt(304) + 2)))**2.\nAnswer: -19761 - 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -21*m - 1. Let r be x(-1). Suppose -152*y - 8 = -154*y. Solve 0*v - r = -y*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185946 is divided by 4226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 713502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6829 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(25\/20 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -315515 and 1?\nAnswer: 315516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2537 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(0 - 3 + 4) - 4 - 17 + 5 + 2 - 5 + 5 - 1 - 1 + 4 + (1 - 2 - 1)*(-3 - 1 + 2))*(-4*p**3 - 1 + 1).\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 8192\/3, -5\/62?\nAnswer: -5\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*u - 231, -2*u + 98 = g + g. What is the smallest common multiple of g and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1085.701509 to the nearest integer.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221243816?\nAnswer: 2, 1181, 23417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 15003562?\nAnswer: 15003546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 61 = -2*c, -119 = -4*c + 54*h - 53*h. Solve c*r + 255 = -21*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17155187*z - 9726289.\nAnswer: 17155187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/((-10)\/30565))\/(3\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3715?\nAnswer: 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*k**3*y - 129*k**2*y - 26*k + 42*y - 118 wrt k.\nAnswer: 12*k**2*y - 258*k*y - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 18\/(-2))*1. Let w = 13 + v. Suppose w*f = 8*f - 8. Solve 3*m + u = 9, 0 = -3*m + 4*u + f + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1513717 bigger than -1513714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*j + 4*m, 3*j + 4*m - 3*m - 9 = 0. Differentiate 2*y**2 + 2*y**2 - y**j - 18*y**2 - 6 with respect to y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 113. Give v(55).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -122. Let f = y + -76. Let t = 20.72 + f. Round t to 2 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 12464, 0.1?\nAnswer: 12464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.042863 * 1.6.\nAnswer: -0.0685808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 266 - 62 - 453*s - 64 - 79.\nAnswer: -453*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7 - (-48)\/56?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4820\/(-2169))\/((-1)\/((-9)\/2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*v**5 - 2*v**4 - 90*v**2 + 4*v wrt v?\nAnswer: 4500*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -5\/2*w**2 + 0*w + 68. Let z(s) = 20*s**2. Give z(b(r)).\nAnswer: 500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 234*z**2 - 343*z + 99. Let j(n) = -8*n**3 + 234*n**2 - 342*n + 100. Let h(f) = 3*j(f) - 4*w(f). Factor h(g).\nAnswer: -2*(g - 1)*(g + 16)*(8*g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + 3 + -8 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w. Let z be h(3). Let l(j) = 2*j + 9. Let k be l(z). Let f(g) = 3*g - 6. Let b(r) = -4*r + 5. Let v(p) = k*f(p) - 2*b(p). Calculate v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**3 + o**2. Let c be q(-1). Let w(b) = b**2 + 6*b + 7. Is w(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 14*q + 25. Let i(u) = -u**2 + 19*u - 31. Let f be i(16). List the prime factors of o(f).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*i + 8 = 0, -2*i + 33 = -4*m + 31. Which is the biggest value? (a) -8 (b) m (c) 2.3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*a - 1 = 6, -5*q = 2*a - 30. Let g(z) = 2*z**2 - 9*z - 3. Let i = 15 - 8. Let m be g(i). What is the highest common factor of m and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/9 (b) 2 (c) 1\/9 (d) 0.224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1898071 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s = -517 - 367. Let b(w) = -6 + s - 2 - 8 - 11. Let g(z) = -2*z**2 + z - 6. Give 4*b(h) - g(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i + 25. Let z(p) = 16*p + 76. Let x(n) = -7*b(n) + 2*z(n). Let q(m) = 2*m + 15. What is -8*q(s) - 5*x(s)?\nAnswer: -s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 21 = -15*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 51*s + 146880 = 0. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75405 = -9*q + 409659. Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -25*m - 165. Let n be y(-25). Let j = n + -274. Is j a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 4*z**2 - 3*z**2)*(-3 - 4 + 4) + 3*z - 3*z - z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q + q)*(23 + 20 - 60 + 14*q)*(4 - 1 - 1).\nAnswer: 56*q**2 - 68*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -10, -o + 5*t = -16 - 12. Suppose -4*c - 4*u = -52, 3*u + 17 = -0*c + c. Let y(s) = s**2 - 12*s - 22. Let l be y(c). Solve 3*x + o + l = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 63*x + 63. Let y(k) = k**2 + 66*k + 65. Let s(d) = d**2 + d - 3. Let t be s(2). Let b(h) = t*y(h) - 2*m(h). Determine v so that b(v) = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1338285 and -37\/89219.\nAnswer: 1338285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112 - -101) + (6 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308396 divided by -86.\nAnswer: 3586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108100 is divided by 4912?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 210. Calculate y(-82).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71.92555 + 0.05445. Does -1 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q = 315. Suppose -3*w - 55 = -4*x, 2*x + 2*x - 5*w - 49 = 0. Calculate the remainder when q is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166754?\nAnswer: 2, 7, 43, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 49*p**4\/4 - 4*p**3\/3 + 1036*p - 834. What is the derivative of v(z) wrt z?\nAnswer: 147*z**2 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -849226, -1698442, -2547660, -3396880?\n\"Answer: -w**2 - 849213*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*7\/((-21)\/618). Let l = o + -42. Let h = l + -114. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4988 - -5026. Solve 2*d - 48 = -k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44141 (base 6) in base 7?\nAnswer: -23545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2, -x - x = -4*i + 18. Let f(m) = m**3 + 4*m**2 - 6*m - 2. Let q be f(-5). Suppose -i - 25 = -q*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -457 - -273. Let d = 105 + g. Let v = d - -43. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 1 - 1)*(15 - 25*n**3 - 15) + (-2 - 1 + 4)*(2*n**4 - n**4 + n**4).\nAnswer: -73*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-5))\/((-2)\/10). Let m = z - -52. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 5*h**2 + 7*h. Let i = 88 - 94. Give b(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o - v = -29*o + 7*o + 8, 2*v + 12 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -262, -493, -826, -1267, -1822, -2497, -3298?\nAnswer: -4231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 5.3. Let q be (2 - (-3)\/(-1))*3. Let f be 2\/(-6)*q\/(-2). What is the closest to f in s, -0.1, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -4 - 5) + -5 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, n: 1, m: 4, g: 6, t: 2, o: 1}. What is prob of sequence zmom?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 12:07 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -9134.\nAnswer: -9104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.7 - -5. Let p(z) = -2*z**3 - 20*z**2 - 18*z + 1. Let i be p(-1). Which is the nearest to i? (a) -2 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 33 - 188*b - 9 + 69*b.\nAnswer: -119*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100021 - -1120121201?\nAnswer: 1120221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g**2 - 28*g - 222. Give u(-6).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -299 + 1869. Suppose -4*x = -c - 18. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + 8)\/((-1)\/(-4)). Suppose y*r = 3*q + 142, -4*r - q = -5*r + 35. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 9. Let x be o(-10). Which is bigger: x or 1\/48?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 139 + 141 = 276, 0 = -5*a + 4*n + 66 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8420*z + 8478*z + 721 = 4027 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -4\/7 (b) 0 (c) -0.01 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w. Let r be d(-1). Let l(v) = 4*v**2 - 2*v - v + 1 + v. Let p be l(1). Solve -r*m = -12 + p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1289 - 1288.4. What is the closest to 0 in 9, 4, -1\/9, n?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 13 = -y + 4*a, 0 = y + 5*a - 17. What is the second derivative of -4 - 7 - o - y*o**5 + 11 wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -610, -972, -1372?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -371.18 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1189\/3 - 805\/2. Calculate the common denominator of -81\/2 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000482911369 to five decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.8, 386\/23, -0.2, 2, -3 in increasing order.\nAnswer: -3, -0.2, 2, 3.8, 386\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1423730076 - 5?\nAnswer: -1423730103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 + 2.8. Let j = h - 6. Put j, 0.1, 5 in ascending order.\nAnswer: j, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107*5719.\nAnswer: -611933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2 + 2*m**3 - 2*m - 5*m**3 + 0. Let l(s) = -10*s**3 - 7*s + 7. Let b be (-14)\/(2 + -4) + 0. Suppose 0 = b*o - 4*o + 6. Calculate o*l(h) + 7*r(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59507 is divided by 4102?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1445 or 2889\/2?\nAnswer: 1445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-210)\/(-49))*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25474 or -16001?\nAnswer: -16001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/(-30) + 5\/(-6). What is the third smallest value in -2, a, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p = -3810. Let v be (-2 - -3 - -3)*p\/8. Suppose 22*n - v = 17*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6249 + 125033\/20. Find the common denominator of p and 31\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**(-4\/3)*(n**(1\/2))**2 assuming n is positive.\nAnswer: n**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**2 + t**2 - t**2)*(10 + 12 - 4)*(-2 + 3 - 2)*(2 + 1 - 2).\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9703?\nAnswer: 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178048 and 7753434?\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10631315 divided by 4?\nAnswer: 10631315\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 196220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c\/c**(-1\/2)*c)*((c\/(c\/(c*c*c**(1\/54)*c*c)))\/c)\/c assuming c is positive.\nAnswer: c**(-13\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**6\/120 - 7*z**5\/60 + z**4\/24 - 3*z**3\/2 + z**2 - z - 49. Let w(t) be the second derivative of s(t). Give w(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 33170817?\nAnswer: -1\/11056939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 240875143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(189)\/sqrt(3) - sqrt(28)\/(sqrt(32)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -4 - (191 + -203)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20941 + 21067. Calculate the remainder when 1122 is divided by g.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**1)**(-4\/3)*k\/(k*k**7)*k**2)\/(((k*k\/k**(-1))\/k**(4\/3))\/(k*k*k**(-3)*k*k*k*k\/k**(-1\/5))) assuming k is positive.\nAnswer: k**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**4\/24 - u**3\/2 - 40*u**2 - 1. What is j(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 101. Let o(m) = -m**3 + 11*m**2 - 9*m - 19. Let x be o(9). Let j = x - f. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 1.1724.\nAnswer: 0.7724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 5*o - k + 53, -9*k = -3*o - 12*k - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80)*-2))))\/sqrt(4))\/(sqrt(16)*3) + -5.\nAnswer: -5 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13*h + 17748 = -6*h. Is h at least as big as -1040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/((-2)\/(-54)). Let v = f - 11. Let n = v + 16. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220993461 divided by -3\nAnswer: 73664487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83265671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 f when four letters picked without replacement from {u: 5, t: 3, f: 1}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*x = 52*x - 11. Which is greater: -86\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366544491?\nAnswer: 3, 23, 601, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -839873\/7821 + -50\/869. Let v = w - -109. Which is greater: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(405) - (1 + 1 + sqrt(405)))**2*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + 3*z - 3. Give g(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/4 (b) 2\/3 (c) 1\/6 (d) 10\/7 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-15)\/(-10)) + 108\/(-46). Is j at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1131 + -1118. Calculate the remainder when 1531 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*g + 31 = 0, 8 = -4*w - 0*g - 5*g. Let i(p) = p. Let m be i(3). Suppose -w*t + 0*t - 297 = o, -91 = t + m*o. Round t to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874997.\nAnswer: 3, 208333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -258*n + 769*n - n**2 - 258*n + 27*n**4 - 252*n + 3 + 31*n**4 in the form j*n**4 + x*n**3 + d*n**2 + w + h*n and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 0. Suppose -71*b - 2*y - 9 = -72*b, -b + y = -7. Solve -1 = -b*u - v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/3, -0.2, 0.1, -30, 1 in decreasing order.\nAnswer: 23\/3, 1, 0.1, -0.2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/48 + 0)\/((-1)\/(-170322)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/3 and 19\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1392.6 in -147, -5, -1, -10\/9?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c + 5*c**2 + 27*c.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, x: 2, c: 7, p: 4, e: 2}. Give prob of picking 2 p and 2 y.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -170. Let z be (-28)\/(-10) + 26\/p. What is the units digit of (-320)\/(-15) + (-1)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 - 8*s - 4. Let w = 5 + -2. Calculate the remainder when x(-6) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607661 is divided by 803781?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 0 (b) 2\/9 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -8, 1, 22, 4, 8, -1 in decreasing order.\nAnswer: 22, 8, 4, 1, -1, -8, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, w: 6, x: 2, l: 8}. What is prob of picking 3 w and 1 x?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*n = 8, 4*h - 3*h + 4*n = -11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-75)*5*0 - 3. Let k be (-5 - (-1 + -4))\/(-2 - m). Solve k = 2*v + 3*v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - 0.03. Let s = y + 1.09. Let r = 0 + 0. What is the nearest to 0 in s, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 89036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -34. Find the third derivative of -5*l**2 + 4*l**5 + 0*l**5 - 7*l**t wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209*x - 62067 = -5235*x - 13755 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:11 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1601848558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -4 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -23568?\nAnswer: 23564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19553.\nAnswer: 19553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 52 = -15*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11c + 14?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 9. Let p be v(9). Let h(s) = s**2 + p + s - 3*s**3 + 2*s**3 + 13 + 2*s**3. Is h(0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7aa80b (base 12) in base 11?\nAnswer: -1124342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + 1 = f, -3*j = -6. Suppose 0 = -f*r + 1624 - 169. Let t = 1176 - r. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20501601\/19 equal to -1079031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 3. Let u(s) = 4932. Let j(a) = 135. Let h(d) = -36*j(d) + u(d). Give 72*c(r) + 3*h(r).\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {n: 4, f: 2, x: 4, p: 5, e: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3510724.\nAnswer: 2, 7, 125383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48203546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 503924997 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89907.91 milliseconds in seconds?\nAnswer: 89.90791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*y - 5*r, y + 26 = 6*y - 2*r. Suppose 25*m - 57 = y*m. Let g = 11\/24 - -1\/24. Which is the nearest to g? (a) m (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59095950 rounded to the nearest 10000?\nAnswer: -59100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*j + 3*i, 3*i + 2002 = -4*j + 2034 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -46, 199, -1\/4, 1, 2\/59, 0?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, z: 12, r: 3}. What is prob of sequence zrrr?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 136 = -0*w. Let g be 3 - (-6)\/2*3. Let r = w - g. Calculate the remainder when r is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36920 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(99) - (sqrt(99) - ((sqrt(99) + (sqrt(99) - sqrt(99)*-3) - sqrt(99)) + sqrt(99))) - sqrt(99) - sqrt(99)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 720 = 4*k + 641, -5*k + 100 = -5*n for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 85 = -0*r + 5*r, 2*r + 26 = -q. Let v = -17 - q. Solve -f + 2*f = -v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.57 <= 34359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let y = 12531\/85 + -592\/17. Let d = -112 + y. Is d bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 0*i**2 + 5\/4*i**4 - 1\/4*i**5 + 26 - i + 10\/3*i**3. Solve n(t) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 13 - (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48643, -97301, -145955, -194605, -243251, -291893?\n\"Answer: 2*m**2 - 48664*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 5 - 9 + 4 to f*v + q + s*v**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 4*w**2 + 2*w + 2. What is the lowest common multiple of 4 and u(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 841 + -418. Suppose -6*v = -v - 5*p - 2085, -2*p = v - n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 2, f: 2, z: 1, i: 1, s: 1}. What is prob of picking 2 h and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 6. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300.659 tonnes to micrograms.\nAnswer: 1300659000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4876*d**3 + 5359*d**3 - 12*d**3)*(-4*d + 4*d + 2*d**2).\nAnswer: 20446*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x = -254*f + 256*f - 104, 0 = -x - 3*f - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/12 - 5*b**3\/6 - b**2\/2 - 3*b - 11. Let g(s) = -s**2 + 25*s - 24. Let d be g(23). Let l = -28 + d. Give x(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20802)\/6*((-2)\/6)\/(58\/522)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172968701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35 + 27544 - (-2 - 2). Suppose 47*h - 33235 = j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16084 - -16084. Solve 4*w + 334 - 366 = o for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 3) + 1 + 1 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13967 greater than or equal to -13967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 46 = 3*j, -3*n + j + 11*j + 146 = -4*n - 0*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -283, -282, -281, -280?\n\"Answer: s - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/33))\/v**(-15\/7))\/(v**(-7)*v*v\/(v*v**(-2\/5))) assuming v is positive.\nAnswer: v**(10168\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 18. Suppose -4*t + 26 = r. Solve t = 3*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270349, 270350, 270353, 270358?\nAnswer: 270365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.22 less than -47613940?\nAnswer: -47613875.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 1\/120*y**5 - 7*y**2 - 1\/240*y**6 + 1\/24*y**4 + 0 + 0*y**3 + 0*y. Factor r(a).\nAnswer: -a*(a - 2)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152493 divided by 13863.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474739983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, -1\/3, 2\/5, -5, 2\/77, -0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 25*z**2 + 13*z - 91. What is the tens digit of r(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 239707.02 to the nearest one thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 1a?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 51813.16 decades?\nAnswer: 5181.316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-21 - -37) + (1 - 3)). Let u be (13 + o)\/((-22)\/2). Let q = 106\/9 - 12. Which is the third biggest value? (a) u (b) q (c) 0.3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135926 and 33288.\nAnswer: 1631112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:27 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**2\/2 - 2737555*c + 1498841475605\/2 = 0.\nAnswer: 547511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 11:07 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22805 - -22901. Calculate the greatest common factor of 501 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3995 + 3997.5. Which is the fourth smallest value? (a) 0.2 (b) 1\/2 (c) u (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-1)\/(-6)*(-164)\/2. Suppose s = -4*x + 4*t + t, 4*x + 4*t - 4 = 0. What are the prime factors of (34\/x)\/(-1*3\/78)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 5, e: 2}. What is prob of sequence errs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 320*i. Let c(s) = 4*s + 12. Let h(a) = 7*a + 20. Let m(f) = 10*c(f) - 6*h(f). What is m(w(y))?\nAnswer: -640*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-48)\/(-138))\/(-4) - (-40599)\/235980 and -23\/2280.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1417, 5654, 12683, 22504, 35117?\nAnswer: 50522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 q when three letters picked without replacement from {d: 2, q: 2, y: 1, a: 2, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-324)*-18 + (12 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6554596, 13109215, 19663834, 26218453?\n\"Answer: 6554619*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2. Let g(m) = -m**2 - 6*m**2 - 2*m**2 + m**2. What is f(g(x))?\nAnswer: 128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, -9, -14, -17, -18?\n\"Answer: o**2 - 10*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-2 - -7) - (0 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*(19965\/220)\/121\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 4*m**2 + 2*m + 1. Let s be r(4). Suppose 5 = 2*x + s. Calculate the remainder when 72 is divided by 296\/12 - x\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17948.\nAnswer: 2, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.482 - -25.46. Let u = -0.022 - x. Let k = -4 - -4.3. Which is the third smallest value? (a) u (b) k (c) 1\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.6442 seconds to nanoseconds.\nAnswer: 206644200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2698*q. Let a(u) = -12*u. Give a(c(l)).\nAnswer: 32376*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.12 + -15. Let w = f + -0.12. Let n = 0.1 - 0.2. What is the closest to 0.1 in n, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -5, -1, -3 in descending order.\nAnswer: 2, -1, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v*v**0*v)))**49*v**(2\/11)\/v*v*v*v**(-1\/3)*v)\/(v**(2\/9)\/(v*v*v**2)*(v*(v\/v**(4\/7))\/v)\/v*v\/(v**(-1\/2)*v)) assuming v is positive.\nAnswer: v**(211639\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109595*h**3 + 257*h + 18710578?\nAnswer: 328785*h**2 + 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 5. Let b be v(-6). Let g = -4 - b. Let q = 3 + g. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -240531.\nAnswer: 1\/80177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -7685.5810776171.\nAnswer: -7690.5810776171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64\/3 + 21. Let o be (-7)\/420*(-6)\/(-3). Let q = o - -13\/30. Put q, 0.2, y in descending order.\nAnswer: q, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by -58\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w + w)*(w**2 - 5*w**2 + 2*w**2)*(-2 - 24 + 2).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**6\/30 - 4*m**5\/15 - 424*m**2. Find r, given that u(r) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 6.1.\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 6. Which is smaller: -13 or z?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 930370?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-4230)\/25)\/(27\/(-540))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0 - 1\/60*y**6 + 49*y**2 + 0*y**3 - 1\/6*y**5 + 0*y - 1\/3*y**4. What is the second derivative of b(w) wrt w?\nAnswer: -12*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (2 - 1) - -5. Suppose 5*v = -17 - 8, p*x + 2*v = -55. Let l = x - -26. What is the highest common divisor of 33 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63651343?\nAnswer: 7, 1299007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/189 + (-2160)\/(-70) + -31 - (-2144)\/21.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0057314 to 4 decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v + 84*v = 21 + 107 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(50)\/(2*sqrt(10)) + 4*(sqrt(5) - (sqrt(5) + 0))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134 less than 3544999671052?\nAnswer: 3544999671051.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 30*o**2 + 35*o**2 - 21*o**2. Let t(r) = 22 + 19 - 2*r + 15 + 4*r - 56. Give m(t(y)).\nAnswer: 176*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -109, -163, -217, -271, -325?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1409202 divided by 2\nAnswer: 704601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 12022000122?\nAnswer: -12022000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -38, -4, 1101, 3.\nAnswer: -38, -4, 2, 3, 1101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a microsecond in nanoseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 30*n - 7*n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47630051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -559*r**2 + 1. Let z(f) = 2*f. Calculate j(z(m)).\nAnswer: -2236*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.054 - 0.08. Let s = -27.026 - m. Let y = 25.73 + s. Round y to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13083.005752 + 13083. Round g to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2064, -2\/13, -0.36, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 17*r + 140. Let b be v(-8). Suppose 5*s = -b*u + 26932, -3*u + 23*s + 20199 = 18*s. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1190 - 775. Let p = g - 394. Let a(z) = -z**2 - 6*z + 3. Calculate the smallest common multiple of a(-6) and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -28*(-1 + 5\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42310 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 120313?\nAnswer: 120304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3306.13 times 5\nAnswer: 16530.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 5. Let d be j(-6). Let b be 6\/12*22\/d. Let h = 22 - b. Calculate the remainder when 20 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155196?\nAnswer: 2, 538799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 8*o + 9*o - 4*o.\nAnswer: 13*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 44 = 12*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6169*k**3 + 568*k**2 - 568*k**2 + 6174*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*5*(sqrt(684)*-2 + -4)**2 + -2.\nAnswer: 7200*sqrt(19) + 206398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27578353?\nAnswer: 11, 101, 103, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-42) - 5\/15. Let c = -0.09 - -0.19. What is the biggest value in c, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:28 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90\/7 - 87\/7*s + 3\/7*s**2.\nAnswer: 3*(s - 30)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 2*-2*sqrt(288) + (sqrt(288) - 1*sqrt(288)*-1))\/((1*sqrt(180))\/(sqrt(320) + sqrt(320)*-2)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*t - 59*t + 219*t - 57*t as f*t + k and give f.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -29692 (base 10) in base 13?\nAnswer: -10690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/3)\/(2\/153)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d*(d\/(d**(-2)*d))\/d*(d\/(d*d**1))\/d**(4\/3))\/((d**(-2)*d)**(1\/30))**(4\/29) assuming d is positive.\nAnswer: d**(1597\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let u(q) = 2*q**3 + 6*q**2 + 5*q + 5 - 3*q**3 + 4*q**3 - 2*q**3. Let x be u(-5). Solve -10 = -x*w - n*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k - 4*k**5 - 5*k**5 + 7*k**5 wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 6*d**3 - d**3)*((1 - 2 + 2)*(5*d - 2*d - 2*d) - d + d + d + 2*d - 3*d + 2*d + 163*d - 44 + 44).\nAnswer: -830*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 5*h + 4*f, 0 = 22*h - 17*h - 3*f - 75 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45565239 and 6541.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*n - 99*n + 3*r + 1559591, 0 = -3*n + 5*r + 935729. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139991.\nAnswer: 139991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(8\/(-14))*(5 + 1). Let u = j + 100. What are the prime factors of u?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 - 2. Let s be (0 - 108\/x) + 1\/(-2). Which is greater: s or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(3 + ((-225)\/20)\/5) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + (1 - 8) + 5 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) 2\/9 (b) -0.0225 (c) -2\/53 (d) -0.3 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233399578.\nAnswer: 2, 616699789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.2? (a) -1 (b) 5 (c) 13 (d) 2\/9 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*c - 28 = -385*c. Sort -3, 10, c, 0 in ascending order.\nAnswer: -3, 0, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 z when four letters picked without replacement from rzzwzjzzjrjzssrr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.11, 0.0215197.\nAnswer: 0.0215197, 0.11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26406276 by -37297.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2692.4 + 2692. What is the closest to 2\/3 in c, -10, -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.14406 and -19?\nAnswer: -1047.73714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73530 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*((3*sqrt(448) + -2 - ((sqrt(448) + 2)*-5 + sqrt(448))) + 1) + -4.\nAnswer: -280*sqrt(7) - 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*y - 30, 3 + 19 = y - 4*b. Solve -3*z + y*z = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3. What is the derivative of 2 + 7*s - k + 13 wrt s?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9*g - 3)*(20 + 8 + 2).\nAnswer: -270*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10614876 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20935 minus 52.25?\nAnswer: -20987.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h. Let j(p) = 2*p - 3*p + 0*p. Give j(v(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 2)*(-6*x + 0*x + 2*x) + (1 - 1 - 1)*(0*x - 3*x + x) + 6*x + 2*x - 4*x to p*x + r and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 39. Suppose -z + 4*z - l - f = 0, 0 = 4*z - 5*l - 52. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**4\/2 - 2*d**2 - 5*d + 4. Let u(m) = -2*m**3 + 5*m + 6. Determine -4*j(v) - 3*u(v).\nAnswer: -2*v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61809 at least as big as 61806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5377 + 2101 = 4*m. Let h = 7379\/9 + m. Is 1 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**3\/5 - 12*m\/5 + 8\/5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose 0 = 3*t + 4*q - 22, -q = k*t - 0*q - 25. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 24*v - 6 - 62 - 24*v + 49*v as y + m*v and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0169728 + -488168.\nAnswer: -488168.0169728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((-348)\/90) - (-15)\/(-30)*175?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 2949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 1176 + 1113 + 0*g - 2384 + 0*g to r*g + p*g**2 + o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 0.5 (c) 5 (d) 7 (e) -19.9 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 607*j**2 - 338*j - 3. Calculate u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 18, c: 1}. Give prob of sequence cg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g - 15. Let h(o) = -8*o + 13. Determine -6*d(p) - 7*h(p).\nAnswer: 20*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**33\/m*m)\/(m*(m**(-2\/15)*m)\/m))\/(m**(-17\/5)\/m**(-1\/14)))**(-1\/5) assuming m is positive.\nAnswer: m**(-7447\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1464*-232.\nAnswer: -33.9648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -36 (b) 2754 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233 + 335*u**2 - 233 - 14*u**3 - 335*u**2 - 2*u.\nAnswer: -14*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54886 is divided by 177?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -293*j + 577*j - 283*j. Let d(x) = 147*x - 15. Determine c(d(u)).\nAnswer: 147*u - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -85. Let y(b) = -b**3 - b**2 + b + 1. Determine y(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*p**2 + 12*p**2 + 2 - 49*p**2 to w + l*p + s*p**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 2*g. Let c be ((-30)\/(-9))\/5*g. Let k be (-4)\/(-6) + 164\/6. Solve 5*p + c*j = -k, 3*p - 6*p + j - 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = 12, -4*w = -4*d + 132. Let m = d + 26. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6291*l + 1. Let j be r(-4). Let s = -6564 + j. Let c = s + -334679\/18. What is the common denominator of c and -103\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4221507373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 270 = -20*l. Calculate the highest common divisor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b - 30. Let g be t(18). What is the highest common divisor of g and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -728\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3))\/(c*c**(-1\/4)\/c*c))**(4\/33)*(c**(-4)*c\/(c*c**(-8)))**(-3\/14) assuming c is positive.\nAnswer: c**(-47\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.82736 and 162703.\nAnswer: 162705.82736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j + 1. Let n be f(0). Let x be (32\/8)\/(2\/20). Let t be 16\/x*(-10)\/16. Which is the closest to n? (a) -2\/15 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -390 - -395. Let f = 0.7 + -1. Let v be (-2)\/5 + (-64)\/(-60). Which is the nearest to -1? (a) f (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/10)\/((-6)\/(-30)). Suppose -3*h = -5*d - 13, 2*h - 6 = 3*d + t. What is the fourth biggest value in 1, 0.4, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13*u**2 - 15*u + 12. Let n be z(10). Let i = n + 10104\/7. Let v = -1814\/9 + 3787\/18. Find the common denominator of i and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 409 and 12018.\nAnswer: 4915362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 3*x - 10. Let i be s(14). Let g = 233 - i. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397, -2637, -8571, -20047, -38913?\nAnswer: -67017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 16*m**2 + 2 - 11.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 24 = u, 4*l - 3*u + 32 = -8*u. Let n(w) = -2*w - 11. Let a be n(l). Suppose a*m - 32 = -12. Solve z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(((-243)\/(-18))\/27)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2044 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**1)\/s)\/(s*s**(1\/8)))**(2\/31)*s*s\/(s\/(s\/s**(-5\/4)))*(s\/(s*s**(-1)\/s*s))\/s*(s**(-2\/3)\/s)\/(s*s**3) assuming s is positive.\nAnswer: s**(-439\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4963779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 23 = -4*v - 0*v, 31 = -4*y - v. Let n(j) = 2 - 5*j + 4 + 2*j. Let i be n(y). Solve -2*d = d + 5*s - i, -s + 3 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 14050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 1*sqrt(72) + (1 + sqrt(72) + 3 - sqrt(72))**2 - 1*(((-2*sqrt(98) + sqrt(98))\/sqrt(7))\/sqrt(7))**2).\nAnswer: -27 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 15*m + 17. Let j be r(3). Solve -4*i + c - 16 = 0, -i - 1 = c + j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 7:04 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0275128421 rounded to five dps?\nAnswer: -0.02751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 5. Let i be b(0). Let k = i - -5. Let p be (16\/6)\/((-1)\/(-3)). Solve k = 3*g + g - p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/9)\/(510\/(-1224))*(225\/15)\/330.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 + 104. Suppose -2*j + r*j = -14. What is the highest common divisor of j and 126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.05039?\nAnswer: 0.015117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 78011 (base 9) in base 13?\nAnswer: 1a743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*n = 26, 0 = -5*l + 5*n + 5 + 30 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 87778906941207 and 3.\nAnswer: 87778906941210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 270 = -5*u, -5*u - 6505 + 6730 = -16*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -4 (c) 2.9 (d) 16\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3567 or -3568?\nAnswer: -3567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -701 divided by -4?\nAnswer: 701\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -4*u + 2*l - 61, 1 = -4*u + l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76962.73 centuries in months?\nAnswer: 92355276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7196, 13322, 19450, 25580, 31712, 37846, 43982?\nAnswer: 50120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 305 - 297. Let a = -26 - -56. What is the remainder when a is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/2, -4\/15, -1797, 1?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 equal to -143593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76517 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 63. Let r be (8\/(-10))\/(k\/(-105)). Calculate the highest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - -118.11. Let w = -115.84 + o. Let z = -0.16 + w. Is -3 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095732.\nAnswer: 2, 3, 11, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.369 + -0.369. Put 0.3, k, -7 in descending order.\nAnswer: k, 0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -33, 2, -1\/6.\nAnswer: -33, -1\/6, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1193 - -1208. Solve -q = -17*a + 22*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810678 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.44*26\nAnswer: 11.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 772382156 by 4.\nAnswer: 193095539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*w + 132 = 145*w. Calculate the remainder when 301 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1192, 1195, 1198, 1201, 1204?\n\"Answer: 3*m + 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1767*x**5 + 5*x**4 - 42*x + 1175 wrt x.\nAnswer: 35340*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + (-2)\/3. Let p be (26\/(-6) + 3)\/((-24)\/846). Let o be (1\/p)\/(-1*(-2 + 3)). Is o <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 597, 1041, 1479, 1911, 2337, 2757?\n\"Answer: -3*r**2 + 453*r + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -693*r + 697*r + 4*u - 88, u = 3*r - 62 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3072787 and 807.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.02 (b) 5 (c) -9 (d) 0.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 1 - 3*u**2 - 3 to the form f + o*u**2 + v*u and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, -25 in decreasing order.\nAnswer: 5, 4, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 32*l - 27*l. Let u(o) = -o + 8. Let r(j) = j - 7. Determine l*r(k) - 5*u(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4158257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -9. Suppose 5*p - 2*p = 0. Factor -1\/3*q**2 + p*q + 1\/3*q**4 + 0 + d*q**3.\nAnswer: q**2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67453.\nAnswer: 67453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204878 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 808 = -4*a, 5*h + 20 = -2*a + 1348. Let q(n) = n**3 + 11*n**2 + 21*n + 4. Calculate the remainder when h is divided by q(-7).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -210 (c) 2 (d) -0.1 (e) -2\/3 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -505 - -721. Suppose 0 = -3*z - z + j. List the prime factors of z\/4 + 2\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -365787*y**2. Let n(j) = 50*j. Calculate n(a(o)).\nAnswer: -18289350*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tslllslzzozslsso. What is prob of picking 2 l, 1 s, and 1 o?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2712)\/(-16724)*(-37)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3033 - -3033. Solve 4*v + 5 = 3*v + 3*g, 2*v - g + 5 = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 3. Let i be k(-5). Suppose -6 = -5*l + 34. Suppose -7*g = -l*g. Put g, i, 1 in decreasing order.\nAnswer: 1, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12940 + 30487. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0, -1, -88 in descending order.\nAnswer: 0, -2\/11, -1, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnooonooonnoo.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1136 = -q. Let i = -1428 + 1608. What is the third derivative of 39*o**2 - 135*o**6 + q*o**6 - i*o**6 wrt o?\nAnswer: -3720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/11*j**4 + 8\/11 + 6\/11*j**2 - 16\/11*j + 4\/11*j**3 = 0. Calculate j.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4672 plus 147.2149?\nAnswer: -4524.7851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440404.3s to milliseconds.\nAnswer: 440404300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-3))**15)**4)**(12\/13))**25 assuming d is positive.\nAnswer: d**(-54000\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a - 1321437 = -1319611 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 775240547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = y - 73, 0*y - 4*f + 197 = 3*y. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 4*r + 2*r - 2*r - 3 + 3 + (-3*r - 2*r + 3*r)*(3 + 3 - 5) + 2*r - 2 + 2 + 3*r + 2*r - 6*r + (-r + 0*r + 5*r)*(6 - 2 + 4).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a tonne in kilograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899754 is divided by 2662?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064 less than -234.10881?\nAnswer: -2298.10881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -15. Suppose -4*m + 3 = -5*m + i*x, 3*m + 5*x - 91 = 0. Let y = -10 + m. Calculate the highest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 2*l**2 + 3*l**2 + (57*l - 1686 + 1686)*(2*l + 0*l + 0*l) to the form m*l + o + z*l**2 and give z.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Differentiate 44147*a**3*h**2 + 14*a**3 - 13*a**2*h**3 + 136*a**2 + 426 with respect to h.\nAnswer: 88294*a**3*h - 39*a**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = h - 13, 4*h - 52 = 3*z - 5*z. Let p(g) = 4*g**2 + 13*g + 19. Let c(n) = 6*n - 15*n**2 + 9 + 27*n**2 - 7*n**2 - 3*n**2. Determine h*c(x) - 6*p(x).\nAnswer: 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.950548 nanometers to meters.\nAnswer: 0.000000005950548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 divided by -3?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 - 9*n - 4. Let g(q) = -14*q**2 - 27*q - 11. Let w(x) = -4*g(x) + 11*o(x). Let k be w(-9). Solve k = 4*p + 1 + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/7081 - -1862315\/42486. Let v = l - 44. Put -0.2, 7, v in ascending order.\nAnswer: -0.2, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -504 + 728. Let x = 223.99999824 - s. What is x rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + b**2 + 5. Let q be a(0). Let m be q*((0 - 0) + 1). Find the third derivative of v**2 + v**5 - 2*v**2 + 0*v**m wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 + 60 = 3*r + 157 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -8, -12, -14, -14?\n\"Answer: q**2 - 9*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -0.01. Let b = 0.003454 + 0.00647. Let u = d - b. What is u rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19 + -36)\/17*-15. Solve 0 = -5*m + 3*g - 20, -20 = 5*m + y*g - 10*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339 + 339. What is the common denominator of 28\/9 and 3579\/(-702) + d + (-2)\/(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 6*j + 8. Let l(z) = 0 - 9 - 1051*z**2 + 7*z + 1048*z**2. What is -4*l(x) - 5*m(x)?\nAnswer: 2*x**2 + 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6526 - 67?\nAnswer: 646a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 5) to base 15\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.79 - -36. Let x = 4.79 + u. Let z = 283 - 3677\/13. Which is the second biggest value? (a) -1\/2 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109297835 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/736*304 + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -487, -1817, -4041, -7165, -11195, -16137?\nAnswer: -21997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (1 + 4 - (9 + -4 - -6)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -125. Let y = -55 + j. Solve -5*r - 6 - 39 = -y*q, -4*r = 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let t = 9 + 3. Suppose -d + 3*d - t = 0. Let x(l) = l**2 - 3*l**2 + d*l**2. Calculate x(o(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155260 and 2288976?\nAnswer: 80114160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -28134.8578 to the nearest 10.\nAnswer: -28130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.11 + 0.49. Let n = -6.5 + g. Sort -9, 3, n in descending order.\nAnswer: 3, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -3\/692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*i - 4, -l - 5*i + 2 = -7*i. Let b = -2 - -2.2. Suppose -4*t - 3 = 1. What is the closest to t in b, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.1. Let o = f + -0.9. Let s = o - -0.5. Which is the second smallest value? (a) 5 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 103, 172, 295, 478, 727?\n\"Answer: k**3 + 21*k**2 - k + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 14) in base 10?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 2:01 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -1. Which is smaller: -1.3 or h?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/11))\/b**(22\/7)*(b**(1\/33))**(-12) assuming b is positive.\nAnswer: b**(-200\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*n - 11, -3*x = 6*n - 5*n. Let b(f) = 5*f**2 + 4*f + 4. Give b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 4, f: 1, o: 9}. Give prob of sequence fj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 182*t**2 - 7*t - 640. What is w(-91)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113.3 - 108. Let l = r - 5. Sort -2, 2, l in decreasing order.\nAnswer: 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6*6\/(-24))\/(3\/6). Suppose m*l + 16 = 5*l. Let p = -104 - -150. Calculate the remainder when p is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1724 by 431.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0 + 6. Let n(m) be the first derivative of -2*m - 1 + 4*m**g + 2*m - 5*m**3. Solve n(q) = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 6. Suppose 5*h - 63 = 2*h. Suppose -h + 0 = -f + 5*n, -4*n = 4*f + 12. Sort a, f, -2.\nAnswer: a, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(3\/3)\/1. Sort -2, i, 3.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z. Let f(l) = -l**2 + 0 + z*l - 1 + 3*l. Let d be f(2). What is the closest to d in -2\/15, -1\/2, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 10 = 10*o. Let s(r) = 5*r + 1. Determine s(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1611\/92 - -420\/23. What is the second biggest value in 1\/3, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 0)\/1 - 4. Suppose 3*r + 26 = 32, -4*h + r + 18 = 0. Put 3, -2, m, h in decreasing order.\nAnswer: h, 3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z**(-2\/37)*z))\/z)\/(z*z\/z**45))\/(z**(-3\/13)\/z*z*z*z**(4\/15)))**13 assuming z is positive.\nAnswer: z**(295946\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 5*v + 4*v)*(0*v + 4*v - v)*(-1 + 1 - v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 8. Differentiate 2*w**4 + 6*w**4 + 2*w**o + 9 with respect to w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -20. Let v be (-70)\/(-22) + p\/(-22). Suppose 0 = -7*u + v*u + 92. Calculate the greatest common factor of 92 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64681*i**2*w**3 + 2*i**2*w - 2*i**2 + 68*i*w**4 + 22205*i*w - 3*i + 94*w + 1 wrt w.\nAnswer: 388086*i**2*w + 816*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**2 + 3263*s - 16349. Give d(5).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 = -10. Let l(p) = 12*p + 9. Let b be l(c). Let u = -12 + b. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -26, 17\/21, -0.06, 6?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511250 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -38*o**2 - 4052*o - 70760. Calculate a(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 13, -50, 26, -15, 2 in increasing order.\nAnswer: -50, -15, -11, -2, 2, 13, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 7 - 1) + 18 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069476 + -0.1?\nAnswer: -1069476.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28b131 (base 12) to base 7.\nAnswer: 5542333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3 = h, -h + 3*c - 2 = -c. Calculate the remainder when 5 is divided by (3 - h - 3) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1651382 times -0.3\nAnswer: 495414.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3118 times 49?\nAnswer: 152782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**3 - 4*r**3 + 4*r**3 + (0*r + 3*r**2 + 0*r)*(2*r + 3*r - 2*r))*(126*r - 43 - 42 + 86) in the form o*r + a*r**2 + l + f*r**4 + d*r**3 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*m**2 + 20076390*m - 20076390*m.\nAnswer: 174*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*a = 3*k - 48, -2*k + 5*a = -14. Let w = -138 + 343. Calculate the remainder when (-96)\/(-120)*w\/2 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7977*d + 23*d**2 + 112 + 8025*d - 27*d**2 = 0. What is d?\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329364 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m + 4. Let a(r) = -4*r + 3. Let z(u) = 0 - 3 + 4*u + 3. Let x be z(1). What is x*a(d) - 3*p(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41875899*i*n**2 + 107927169*n**2 with respect to i.\nAnswer: -41875899*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3392 - -1768. Which is smaller: p or -1625?\nAnswer: -1625","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44745125 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1919 from -6587354255.\nAnswer: -6587356174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*r + 868*j**2*r**2 - 1509*j*r**2 + 2*j*r + r**2 wrt j?\nAnswer: -6*j*r + 1736*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**19*f*f)\/(f*f**19\/f*f)*((f**(-5\/3)*f)\/f)**(-18) assuming f is positive.\nAnswer: f**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 105752, 211506, 317260?\n\"Answer: 105754*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2*f + 4)*(0 - 3 + 5) + 8*f - 5*f + 2*f)*(-5 + 3 + 1)*(11*f - 4*f + 41*f).\nAnswer: -432*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15020102*a**2*c - 54143136*a**2 with respect to c.\nAnswer: -15020102*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 50600 + 50542 + 50540 - 151682.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -4390.\nAnswer: 17560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*-0.316\nAnswer: 0.05056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1355*k**2*n**4 + 3*k**2*n**2 + 507384*k**2*n + 3*k*n - 25765*n**6 - 24 wrt n?\nAnswer: -32520*k**2*n - 3091800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 11*g + 3. Let t be k(10). Solve 5*h = -2*j + t, 2*j + 0*h - 4*h - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 7) + (-12 - -7) + 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*x + 154 = -x, 5*a - 412 = 4*x. Suppose -8084 - a = 4*f. Let n = f + -3359. Round n to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2 - 0)*-10. Let n(i) = i**2 - 7*i - 8. Let u be n(12). Let s = u - 48. Solve r*f + s*y = 29, -2*y = -f + 3 - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 29*a**3 + 27*a**3 + 1433*a - 1431*a - 3*a**2 + 5*a**2 - 103*a**4 in the form j*a + z*a**4 + v + b*a**2 + w*a**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1169 + 1169. Let v(s) = -4*s**2 + 22*s - 3. Let x be v(5). Solve -4*p + x*p = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*((-3072)\/(-40))\/16*-5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Suppose 0 = n*r - 12*r + 387. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b + 14*b + 12. Solve 0 = a + b - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-2082)\/(-34) - (10525\/425 - 25).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212.01317 - -159.\nAnswer: -53.01317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 2 - 2)*(5 - 3 + 0) + (-3 + 6 - 1)*(-p**2 + 7*p**2 + 0*p**2).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12095 (base 10) to base 12\nAnswer: 6bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*j**2 - 3937 + 3937.\nAnswer: 85*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 31056190?\nAnswer: 124224760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -6*s**3 + 0*s**2 + 3 + 6\/5*s**5 + 0*s**4 + 0*s. What is the third derivative of v(q) wrt q?\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -2*m**3 + 3*m**2\/2 + 92*m - 36. Differentiate f(t) wrt t.\nAnswer: -12*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 1065*w + 164187. Determine p(187).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 368 + 293 = 5*i, y + 2*i - 221 = 0. Let k be (-3)\/18 + y\/42. Let a(j) = 0*j + 3*j - 3*j + k*j. Let w(v) = -v**2. What is w(a(m))?\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72635046 and 5764?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 472 = c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764711 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-174358557.\nAnswer: -3487171.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1098*w**2 - 35*w + 13 + 567*w**2 + 567*w**2 - w**3. Is 8 a factor of y(35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n**3 + 6*n**2 - 25*n + 11. Let m be f(-7). What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -60, -0.2, 4, 2, 1\/4, 48, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/265?\nAnswer: 4\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 67\/5 of a millisecond?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b + 5 - 4*b + b. Determine c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -139517*y - 155350 wrt y?\nAnswer: -139517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2079.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236214310?\nAnswer: 2, 5, 43, 2874917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.1 - 5. Let q = -1.2 + 0.2. Let m be (0 + (-1)\/2)\/(-1). Which is the second biggest value? (a) q (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + x + 37 = 6*x, 3*x - 6 = 3*n. Let u = 30 - 24. Let q = n - u. Are q and -3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-112)*60\/15*-7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 10 = x, 2*x - 24 = -2*i - 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 94\/3 of a week?\nAnswer: 5264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 at most as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342 divided by -4094?\nAnswer: 671\/2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 56 = -t + u, 5*u + 150 = -5*t. Let q = 77 + t. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - 402*u**2 + 474*u + 11878. Determine w(99).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033344001 to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516191 is divided by 757679.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -3 + -7 + 36\/6 - 125. What is the third biggest value in s, 4, -20?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11369 - -11405. Suppose 0 = 3*i - i + 4*v - 408, 1020 = 5*i + 5*v. Calculate the highest common divisor of i and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9367 + 93549\/10. Calculate the common denominator of ((-96)\/44 - -2) + 826\/(-660) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 9, 3, 1.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1582*-0.4.\nAnswer: 632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1 + 101*j - 101*j - 51*j**2. Let r(h) = -h**3 - 6*h**2 - 6*h - 4. Let c be r(-5). Let v be f(c). What is v rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -2 - 16\/(-2). Solve 0 = 5*a + 2*z - 12, x*a - 8*z = -3*z + 40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/9))\/m)**(4\/3)*(m*m**(-2))**(-40))**(-5\/3) assuming m is positive.\nAnswer: m**(-5360\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 57808202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 6. Suppose w = x + 8. Is 2 + (4 - (-4 - x)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.287 times -2594807?\nAnswer: 744709.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 4 - 4 + (-x - 3 + 3)*(2*x - x**2 - 2*x))*(-6 + 3 + 1) + (-2 + 4*x**2 + 2)*(x + 2*x - x) - 4*x**3 + 6*x**3 + 2*x**3 - 7*x**3 - 3 + 3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 6*d**2 + 792 + 729 - d - 6*d**2 - 7*d**2.\nAnswer: -2*d**2 - d + 1521","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -10\/3*h**3 + 4\/3*h**4 - 1\/5*h**5 + 0 + 4*h**2 - 29*h. Factor o(n).\nAnswer: -4*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 211. Let f = b + -260. Is -45 equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99125\/111244 + -3\/959. Let s = -5109\/4 + 1269. Find the common denominator of w and s.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1541, 1543, 1545, 1547, 1549?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwuwwwwupwwwwwwuw. Give prob of sequence wp.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -59601.23 - -11692\nAnswer: -47909.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 319 divided by -29\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -21, -1, 1883 in ascending order.\nAnswer: -21, -1, 2, 5, 1883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*b - 4*m, 4*b + 3*m + 3 = 2*m. Suppose b = 3*c - 4391 - 2470. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01514299398 rounded to 7 decimal places?\nAnswer: -0.015143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 1, l: 4, f: 2}. Give prob of sequence vf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262 (base 13) to base 9.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*1\/(-1) - (-6 - -83). Let p = 114 + a. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/6)\/(4\/(-88)). Suppose -3*w + 3*v + 13 = 4*v, 5*w - 5*v - f = 0. Let z(m) = 6*m - 4. Is 13 a factor of z(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**4\/4 - w**3 + 11*w**2\/2 + 26*w - 10997. What is a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2222*j = -836*j - 15332 - 6074 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9671 + -9746. Which is the closest to 1? (a) -1\/5 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 7*t**2 - 525*t + 2980. Give b(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3123980 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, -0.014, 4, -5.012?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8.1 * -2\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 7*w**2 + 0*w**4 + 1\/210*w**7 + 0*w + 0*w**6 + 0*w**3 + 0 - 1\/10*w**5. Find the third derivative of f(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279 - 143. Suppose -f - v = -5*f. Let p(b) = 6*b**2 + 2*b + 1. Let j be p(-1). Solve -9 + f = -j*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 34*b**3 - 164*b**2 - 240*b.\nAnswer: -2*b*(b + 3)*(b + 4)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/8 - 339*q\/4 + 38307\/8.\nAnswer: 3*(q - 113)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -16*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Suppose 2*u = -y*t - 40, -5*t - 2*u - 52 = u. What are the prime factors of (-4)\/2*100\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -924185 by 4.\nAnswer: -924185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 25432231?\nAnswer: 25432212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1457\/6 - -7273\/30. What is the fourth smallest value in 7, -1\/4, c, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3656 - -29249\/8. Let v(p) = 6*p + 38. Let l be v(-20). What is the third smallest value in -4, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 101688051 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a + 301. Let r be q(-48). Suppose -31*u - r = -4*w - 28*u, 2*u - 18 = -4*w. Solve 2*b = 14 - w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d**2 + 3*d + 2. Let r be t(-2). Let a(f) = 3*f**2 - 5. Let g be a(-5). Calculate the greatest common factor of r and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 5*h + 30. Let j be k(3). Calculate the greatest common factor of j and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25673.229 months to decades.\nAnswer: 213.943575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1172 less than 3?\nAnswer: 3.1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -505 less than -726849\/1439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from uuuuuusuuusujuuujs?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 91461?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 4.1.\nAnswer: -3.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 597419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6182 at least as big as -6182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1586347 to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 - 14 = 0. Let b = p - 1. What is the least common multiple of b and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -848306666 divided by -4\nAnswer: 424153333\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-3*4)**2 - ((6*sqrt(27))**2 + 2).\nAnswer: 2914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**4 - 76*s**3 - 100*s**2 - 32*s.\nAnswer: -4*s*(s + 1)*(s + 8)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11790 is divided by 5893.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4795*b - 41651. Calculate m(-9).\nAnswer: 1504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176122545?\nAnswer: 3, 5, 89, 131927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51340 * -3.9.\nAnswer: -200226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 306689 = 4*n, -3*p - 61*n + 56*n + 184016 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*q**2 + 62*q**2 - 18*q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 803658.4 days?\nAnswer: 69436085760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8a - -2?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9050 or -1?\nAnswer: 1\/9050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 422 - -1642. Suppose c = -9*x + 33*x. What is the greatest common divisor of 301 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 26*o. Let a(u) = -17*u. Suppose 4*m = 7*m + 15. Let s(f) = m*d(f) - 7*a(f). Calculate s(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 4*b**2 - 2*b + 2. Suppose -4*o = -23 + 7. Determine y(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + (-14)\/(-12))*(8 + -6) and -2\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1900 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, e: 7}. Give prob of picking 3 e.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/((p*(p*p\/(p*p\/(p\/(p\/p**(2\/7)))))\/p)\/p)*p))*(p**11\/p)\/p)**11)**(-32) assuming p is positive.\nAnswer: p**(-28864\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 4130434 and 4130434 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b**2 + 0 + 0 + 36*b**2 - 8*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 398826*g - 2. Let p(l) = 63*l. Give p(m(q)).\nAnswer: 25126038*q - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/66036 and 67\/24.\nAnswer: 132072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -30. Let r = -37 + f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 15*f = -12573. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**20))\/(a\/a**(-2\/3)))**(1\/3) assuming a is positive.\nAnswer: a**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2 + sqrt(891))*-1 + 3 + sqrt(891) + 2 + 1)*5.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30371, 60739, 91107?\n\"Answer: 30368*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (5*sqrt(20)*-3 - sqrt(20)))\/((sqrt(196) - (-4*sqrt(196) - sqrt(196) - sqrt(196))) + sqrt(196)).\nAnswer: -15*sqrt(5)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(2\/3))**(-1\/57))**32)**20 assuming r is positive.\nAnswer: r**(-3200\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/101627 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 1\/490*a**7 + 81*a**2 - 3\/140*a**5 + 0*a - 2\/7*a**3 - 1\/140*a**6 + 1\/7*a**4 + 0. Determine z, given that v(z) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25102660 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15564040 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*n + 8 = 4*q, 0 = n - 5*q - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (45\/(-18))\/((-4)\/8). Suppose 5866 = x*j - 4639. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/50 + 14\/75. Suppose 72*o + 163 = 91. Sort 1\/3, 4, o, f in decreasing order.\nAnswer: 4, 1\/3, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -231, 269, 751, 1215, 1661?\n\"Answer: -9*t**2 + 527*t - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**2\/2 - m + 1. Let g = -1 - 0. Let a be (5 - 4)\/(g\/(-2)). Let z(y) = 3*y - 3. Calculate a*z(u) - 5*s(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {u: 2, s: 6, i: 4, x: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 at most as big as 331\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m - 3. Let n(y) = -y - 1. Let t(r) = a(r) - 3*n(r). Let o(i) = 2*i**2. Calculate o(t(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/794777 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.1. Suppose 2*i + 16 = 3*s, 3*s - 4*i - i = 13. Let r be ((-4)\/s)\/((-6)\/(-9)). Which is the second biggest value? (a) v (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 33, 28, 35, 60?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248811 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 26.7. Let o = -2.619 - 190.481. Let k = -193 - o. What is the nearest to k in u, -1.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9173.75 tonnes?\nAnswer: 9173750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 + -105. Let k be 6\/((-6)\/8*-2). Suppose -3*u - 3*b + 24 = -6, -k*b + 20 = 0. Calculate the greatest common factor of d and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwawwpwp. Give prob of sequence pa.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -27*f + 31 - 13. Let o(s) be the first derivative of -2 + 0*s**f + 13\/3*s**3 + 0*s. Let i(l) = l. What is i(o(j))?\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyevvvytcwy. Give prob of sequence wetv.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 65*s - 8. Determine a(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.078 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 7*q - 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150638227?\nAnswer: 79, 809, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpy when three letters picked without replacement from gyoygqypoy.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597723329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -115\nAnswer: 34\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011021012201 - -22?\nAnswer: 11011021020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f - f - 3 + 1. Let v be l(3). Suppose -v*o + 56 = -3*o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 9 - 11 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 831390 times 1?\nAnswer: 831390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w - 14. Let v(d) = 2*d + 6. Let q(u) = 3*v(u) + z(u). Let r(j) = -3*j + 3. Determine -5*q(f) + 4*r(f).\nAnswer: -2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 50*x + 7 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 211*x**3 + 3*x + 2*x**2 - x - 216*x**3 to f + t*x**3 + w*x**2 + s*x and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1020 and 872220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6168, -5, 1 in increasing order.\nAnswer: -5, 1, 6168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = i - 84, 3*j + 535 = i + 4*i. Let a = i - 99. Solve -4*r = -4*h - 20, 4*h - 4 = 2*h - a*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**2 - 483*c + 444. Calculate y(68).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.517344 nanometers?\nAnswer: 0.000000000005517344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmz when three letters picked without replacement from {m: 1, z: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - (-10 - 0) - (40 - 35))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5632 or -5636?\nAnswer: -5636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0*p)**(-10\/3))**(1\/40) assuming p is positive.\nAnswer: p**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835\/6606*(-54)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 14*u - 1525 - 4*u + 5*u - 5*u.\nAnswer: 2*u - 1525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 607 - 620. Let w(t) = t + 30. What is w(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/29 + 31\/58. Let h = 20 - 35. Let u = h - -14. Put u, -4, s in decreasing order.\nAnswer: s, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3*n**2 + n**2)*(3 + 23*n**2 - 45*n**2 + 19*n**2).\nAnswer: 3*n**4 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106220216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/20 and -107\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -158092.\nAnswer: 1\/158092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56084 divided by 2.\nAnswer: 28042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/10)\/(6\/30). Suppose -6 = -2*u + k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3949 and 5.\nAnswer: 19745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1064\/190 - 9\/15) + 43\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {v: 5, l: 3, e: 1, m: 6, q: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k. Let i(z) = 0 - z**3 + 12*z**2 - z**2 + z + 2 - 7. Let j be i(11). Suppose -3 = 3*h - j*h. Determine l(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**7\/315 + y**6\/36 + y**5\/10 + 7*y**4\/36 + 2*y**3\/9 + 5*y**2 + 18*y. Let o(n) be the first derivative of t(n). Factor o(q).\nAnswer: 2*(q + 1)**3*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 5*o**4\/24 + o**3\/3 - 6*o**2. Let u(i) = i**3 - 3*i**2 - 3*i - 2. Let x be u(4). Calculate h(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 + 3*u + 108. Let r(t) = 452*t. Give j(r(c)).\nAnswer: 1021520*c**2 + 1356*c + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92964 is divided by 877.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27506003 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4799344*r + 4799360*r + 928 = 0 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 427727360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t - 48*t + t**2 + 15*t + 17*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 3641, -13, -10, -1 in descending order.\nAnswer: 3641, 6, -1, -2, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/13)*p*(p\/(p*p**(-4)\/p*p))\/p*(p**(-1))**(-20) assuming p is positive.\nAnswer: p**(314\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 3*z**2 - 2*z**2)*(-25 - 21 + 8) + 5*z**2 - 5 + 5.\nAnswer: 43*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 13. Let d be o(6). Suppose 7 + 43 = 5*y. Let x = y - d. Calculate the remainder when 4 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3715 = -3*f + 4514. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 26*t**2 - 16*t - 16. Let p be c(18). Let n = p + -514. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b - 3*s + 326 = 50*b, 0 = -5*b + s - 1602. Let j = -315 - b. Sort 0, 2, 9, j in descending order.\nAnswer: 9, j, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112) + -1)**2.\nAnswer: -16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15754719 - 3616909 = -131*z - 2610047. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20103*f + 154 = -20026*f. Suppose -8 - 1\/3*h**f + 14\/3*h = 0. What is h?\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -89\/2593872 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-4)*84\/54)\/((1653\/38)\/29)?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3478*a**2. Let s(o) = o - 18 - 105 + 123. What is n(s(u))?\nAnswer: -3478*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 92533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4704\/13 + 362. Determine u, given that 2\/13*u + o*u**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -9. Let p(f) = -f - 5. Let o be p(u). Suppose 0*j - 12 = -o*j. Solve 0 = -b + j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3.5. Let f = -14 + 23. Suppose f = -2*i + 7. What is the nearest to -1 in -3\/7, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((149695\/49)\/47)\/(12\/12)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - o - 2)*(3*o - 2 + 2) - o**2 - 1 + 1 to c + l*o**2 + f*o and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (20 + -36)) + -72.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 9*z**2 + 9*z + 9. Let m(u) = -295 + 591 + u - 296 + 0*u. Let p be m(-8). Give v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*s - 1912448 + 13776543 = -2582238. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = 0. Suppose -4*t - c = -1, t + 0*t + 2*c - 9 = j. Let o(a) = -4*a**2 - a - 1. Let m be o(-1). Put t, 5, m in decreasing order.\nAnswer: 5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7266 + -87113\/12. What is the common denominator of s and -55\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*n**4*w - 2*n**4 + 7214*n**3*w + 8*n**3 + 9*n**2*w - 133*n**2 + 9*n*w + 26*n - 2*w + 2 wrt n?\nAnswer: -768*n*w - 48*n + 43284*w + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17527.9707 seconds?\nAnswer: 0.20287003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1015)\/(-420) + 6\/(-9)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) -0.4 (c) 14 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) - (-7)\/21. Suppose u = -g + 2*q + 11, 0 = -2*g + q - 5*q - 18. Put -2, -3, g in decreasing order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + (sqrt(833) - (sqrt(833) + sqrt(833) + -2)) - (5 + (sqrt(833) - (-3 + sqrt(833)) - sqrt(833)))) + 1)**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a factor of 4641719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8188743*k**2 - 496053*k?\nAnswer: -16377486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11608 + 3313. List the prime factors of g.\nAnswer: 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27a (base 11) to base 14\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54242719.\nAnswer: 3559, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 3606286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 116553.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 25528723 to the nearest one hundred thousand.\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19577, -39192, -58819, -78464, -98133, -117832, -137567, -157344?\nAnswer: -177169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztum when four letters picked without replacement from tmzmtttmuttttzutmtu?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 3)*(-15)\/(-10). Suppose 2*u + 1 = h + 11, -l*h = 2*u + 6. Let s(t) = 31*t - 2. Let r be s(u). Round r to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3))**25*o**(3\/4)*o**2\/o)**49 assuming o is positive.\nAnswer: o**(10829\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 3*l - 2. Let v be f(-4). Let w = -2 + 4. Suppose -4*b = -q - 3*q + 64, q - 4 = -w*b. What is the greatest common factor of v and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {x: 1, k: 1, o: 2, c: 2, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6371 + 10135. List the prime factors of d.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = -3*g + 18, 2*h - 2*g + 4 = 0. Does h = 27\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 423 and 24?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*u + 50 = 0, -65 = -4*s - u - 34. Solve s*y = 34 + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39120 > -1060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 + -4 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -551*u + 10153. Determine k(19).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 5*p + 3. Determine t(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 194\/4 - (-4)\/(-8). Let h = f + -46. What is the remainder when 65 is divided by h + (-6)\/4 + (-105)\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 679701 divided by -5269\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 60, 115, 168, 219, 268, 315, 360?\n\"Answer: -x**2 + 58*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 2*s - 3. Let z be x(1). Solve -5*g + 2*g = -2*f - 8, -4*g + 10 = -z*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -56. Suppose -41 = -u + l, -i*l = -u - 2*u + 118. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/878856 and 47\/327?\nAnswer: 95795304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 at most as big as -650\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 31. Let z be l(13). Let v = z + -18. Let -1\/3*r**3 + 0*r + v*r**2 + 0 = 0. What is r?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 276 + -260. Solve -3*l + 1 - b = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/273)\/(56\/126)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.5. Let u = 32 - 48. Let j = u - -21. Which is the nearest to -1? (a) -0.1 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, w: 7}. Give prob of sequence ywwy.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4367743 (base 9) to base 15.\nAnswer: 315a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58027 or 58028?\nAnswer: 58028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.09 + -3.62. Let p = w + -2.57. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 129*j + 16*j**2 - 236*j + 107*j. Let v = 4 + -2. Let p(q) = -v*q**2 - 2*q**2 + q**2 + q**2. What is p(h(d))?\nAnswer: -512*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*t**2 - t + 6 + 2*t + t - 42*t**2 wrt t?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1280 = -18*o + 23*o. Let y be 375\/24 - 24\/o*-4. Solve 4 = -17*q + y*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(88318*g - 26352*g - 43301*g).\nAnswer: 37330*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = 25. Let a be (-2)\/7 - o\/14. Suppose 2*v + 4*l = 8, 13*v - 12*v - 3*l + 1 = 0. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10*p - 78. Let g be r(-8). Let x(i) = 11*i + 4. Let k(n) = 4*n + 1. Let m(j) = g*x(j) - 7*k(j). Let s(t) = 13*t - 2. Give 5*m(h) + 2*s(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10321 + 11?\nAnswer: -10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -316\/331 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -280, -1142, -2580, -4594, -7184?\n\"Answer: -288*a**2 + 2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 22. Let w(j) = j**3 - 13*j**2 + 15*j - 15. Let l be w(r). What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4ac783 (base 13) to base 3\nAnswer: -10101100222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16.34, 426, 3, -0.1?\nAnswer: -16.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 97558 + 97554 - 6*t + 97576 - 292688.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8260919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 10*x + 2. Let s be m(10). Suppose -7*q + 2*q = 2*n - 56, -s*n = 2*q - 68. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8*q = -40 + 21, -5*q + 7 = 3*x. Which is bigger: x or 3\/11386?\nAnswer: 3\/11386","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z**5 - 35984*z**4 - 565278*z**3 - 185814*z**2 + 1293300*z - 615600 = 0 for z.\nAnswer: -15, -2, 3\/4, 1140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/168357 and 79\/4601758?\nAnswer: 13805274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from cgglcqgrqqq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -109 + 2*k + 220 - 110. Calculate v(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198150 a multiple of 708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60687725.\nAnswer: 5, 7, 107, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -8042*g**3\/3 - 487*g**2 + 6494. What is the second derivative of m(r) wrt r?\nAnswer: -16084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 1. Let x(z) = 5*z**2 + 6. Let m(p) = -6*p**2 - 7. Let h(u) = -6*m(u) - 7*x(u). What is h(d(c))?\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*t + 0*t + 3*t)*(2 - 3 + 5) + 0*t - t + 0*t)*(t - 2 + 2).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2. Suppose 0 = -4*i - d + t, 0*d = -4*i - 5*d + 21. Let p(s) be the first derivative of -s**4\/4 + s**2\/2 + 2. What is p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22325.4917 times -0.4?\nAnswer: 8930.19668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 352*t**2 - 86*t**2 + 256*t - 256*t in the form c*t**2 + x + n*t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-35) - (5 - 6). Let b = 0.324 - 0.224. Put 0.6, b, s, -0.4 in increasing order.\nAnswer: -0.4, b, s, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(16)\/sqrt(2) + sqrt(8)))\/sqrt(720) - ((sqrt(6)\/sqrt(3) + 1)**2 + sqrt(242) + -2).\nAnswer: -311*sqrt(2)\/24 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -1e?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 5 - (12 + (0 - 9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**3 - 2*q + 1. Let i(a) = -861*a**3 + 3240*a**2 + 8*a - 4. Let y(d) = i(d) + 4*l(d). Find the third derivative of y(t) wrt t.\nAnswer: -5334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (21 + -11)) + 22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 68 = -27. Let z = 133 - t. Let y = 42 - z. Solve -y*w - 2*k - 1 = 3*k, 3*k - 17 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6450 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 171, -0.2, -5.\nAnswer: -5, -4, -1, -0.2, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a + 3 - 1\/2*a**2 + a**3. Find the second derivative of h(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = p. Calculate the lowest common multiple of p and (3\/(-5))\/((-5)\/100).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -53*f - 4. Let m(l) = 27*l + 2. Let p(k) = 2*a(k) + 5*m(k). Let b be p(2). Let j = -11 - b. What is j rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -529*i**2*q**3 + 2*i**2*q - 81*i*q**3 + 2*q**3*z - 12*q**2*z - 1424*q**2 wrt q?\nAnswer: -3174*i**2 - 486*i + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**6\/60 + 3*i**5\/10 + 13*i**4\/24 + 5*i**3\/6 + 17*i**2. Let y be s(15). Round y to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 95. Let c(k) = -236875*k. Give z(c(a)).\nAnswer: -112219531250*a**2 - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1, -3, 19.\nAnswer: -4, -3, 1, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1207 and -259.53?\nAnswer: 947.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.2 + 0.2. Suppose 4*h - 9*h + 25 = 0, 3*h + 89 = 2*u. Let t be (-29)\/30 + u\/65. What is the second smallest value in t, 1\/7, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3 + 0*a - 4\/3*a**3 + 1\/2*a**2. Find the second derivative of c(d) wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15462452 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 18. Let m be (-12)\/(-30) + (-6)\/u. Solve 5*c - 3 = q, m*c + 3 = 2*q - c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7591.\nAnswer: 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9153 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101311 is divided by 340?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 40 = -38*r. Let k be -2 - ((-12)\/6 - (69 + r)). Let g = -189 - -349. What is the highest common factor of g and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 135125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:11 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-56) - -36*(-3)\/(-21). Suppose 0 = 2*y - 4, -4*w - j*y = -3*w - 584. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 43 = 23*f, -893894 = -2*f + i - 893887 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17354442 is divided by 9236?\nAnswer: 9234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59442605*h**5*x**2 - 1946*h**2*x**2 - 42*h**2 + 6*x**2 wrt h?\nAnswer: -3566556300*h**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 36*u + 22 + 15 - 38.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/3*-1 - -2. Suppose 5*i = -2*k + 13, 2*i - 5*k - 9 = 2. Suppose 3*v - i*b = 117, -b = -2*b - f. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 68126032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -88. Suppose q = 82*l - 78*l. Solve l = -4*n - n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + p + 10 = 3*p, -4*h = -2*p + 16. Let z(l) be the third derivative of -l**5\/60 - l**4\/4 + l**3\/6 + l**2. Let i be z(h). Is 1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315575396.\nAnswer: 2, 7, 23, 421, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*o = -30*o + 8*o + 3960 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q + 5. Let u be p(0). Let h(d) = -d**3 + 7*d**2 - 4*d - 7. Let n be h(6). Solve 0 = -2*z - x - 5 - n, -u*x = z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1700))**2 - sqrt(1700) - -3*(sqrt(17) + -2)) + (sqrt(1700) - 2*sqrt(1700))**2 + (-2 + sqrt(17))*2 + 2.\nAnswer: -65*sqrt(17) + 3401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49090, -49243, -49396, -49549?\nAnswer: -49702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54403\/4 - 13609. Let y be 316\/8 + 1\/2. Suppose -5*v = -3*w + y, 1 + 7 = -v - w. Is k at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -1203?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137257 - 1875?\nAnswer: 135272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -490 divided by -10\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6026.36 to the nearest 100.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23995\/2499 + 163\/17. Calculate the common denominator of 77\/48 and s.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(931) + -4.\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 291*m**2 - 40*m - 118. Is q(-4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168 - 164. Suppose -3*c - 50 = -k*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from pecjepceeepqc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/((16\/(-440))\/((-16)\/(-30))). Let w = l + -196. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - 2c817e?\nAnswer: -2c816b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 9\/5 (b) -5 (c) -3073\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.31 and -76.\nAnswer: -80.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.97 + -0.75. Let v = -1148 - -1147.7829. Let n = v + k. Round n to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/28 + 1362\/1589. Solve -1\/2*f - 1 + a*f**2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 2*t + 3. Let s be c(4). Let x = s + -1. Suppose -l = 11*l - 120. Is l at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 2*c, 45*c = 5*u + 91*c - 41*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -1001, -2127, -3661, -5603, -7953, -10711?\nAnswer: -13877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (4 + -4)) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-115)\/30 - -4 - 17\/138. Which is the biggest value? (a) 4 (b) t (c) 6 (d) 0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 7, -4, -3, -5, 498 in descending order.\nAnswer: 498, 7, 2, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + s - 3*s - 103, -107 = -3*d - 2*s. Let c(v) = -6*v. Calculate the remainder when d is divided by c(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - u**3 - u**4 + 7 - 14 + u**2 - 6*u**4 to l*u**2 + x*u + n + v*u**3 + r*u**4 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8777 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 511 - 514.97. What is j rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 493*k + 49365. Give m(-100).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -279418.\nAnswer: 279407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-2*3\/(-3)). Let f(r) = r**3 + r**2 - r + 33. Let z = -167 - -185. Calculate the remainder when f(d) is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*v + 60. Suppose 4*a = -4*o + 12, 2*o = -v - 0. What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*y + 28*y - 12*y - 6)*(4 - 3 + 1)*(0*y + 2*y - y) as c*y**2 + a + x*y and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**2 - 70*l - 6. Let i(r) = -13*r**2 - 105*r - 9. Let u(g) = -5*i(g) + 7*k(g). What is the units digit of u(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y - 30*y - 246 = 0. Calculate the remainder when 144 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*2\/(-4)*(7 + -1). Suppose -4*c - 5*l + 1029 = 0, i*c + l - 758 = -0*c. List the prime factors of c.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3 + 4383*j**2 - 21852*j + 17472 = 0. Calculate j.\nAnswer: 1, 4, 1456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2 - 3*i. Let m(g) = g. Let s(l) = -6*l**2 + 4*l. Let y(h) = 6*m(h) - s(h). Determine 2*n(d) + 3*y(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26\/(-54))\/((-8)\/(-12)). Let w = x + 25\/72. What is the second biggest value in 0, w, 2, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -o + 3*o - 5202, -3*o + 3*g + 7797 = 0. Suppose -5*u + 2*p + 6960 = 979, u = -4*p + 1205. Let l = o - u. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g + 1221. Let k(x) = -3*x**2. Determine k(b(l)).\nAnswer: -48*l**2 + 29304*l - 4472523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 18.194.\nAnswer: 2.00134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -12786133.\nAnswer: 21\/12786133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0, -546, -3.03 in increasing order.\nAnswer: -546, -3.03, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 1250451.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 + 8347*r + 634093. Determine p(-74).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 7*a - 10*a + 5, 0 = k + 4*a + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 - 101*d + 298 + 101*d - 25*d**2.\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.2 + -0.5. Let x = z + -4. Let f = x + 0. Which is the biggest value? (a) 4 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 3:57 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3195, 3200, 3209, 3222, 3239, 3260, 3285?\n\"Answer: 2*y**2 - y + 3194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + 0.48. Let w = -181\/1092 - -15\/182. What is the nearest to w in -5, -1, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 835 + -835.3. Put f, 2, 4\/13 in decreasing order.\nAnswer: 2, 4\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-150))\/(8\/800).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 431.42 and 0.237.\nAnswer: 431.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 319*b**3*h**2 + 59*b**3 + 3 with respect to h.\nAnswer: 638*b**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -17*h**3 - 34*h**2 - 21*h + 4. Let n(i) = 37*i**3 + 69*i**2 + 41*i - 9. Let j(u) = -9*m(u) - 4*n(u). Factor j(z).\nAnswer: 5*z*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2749965920.\nAnswer: 2, 5, 13, 547, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 - -1.77. Let b = 0.6 + 0.4. Let n = -7.3 + 7. What is the third smallest value in n, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-9) - 280\/(-315). Are -9\/4393 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3021 + 3061. Suppose -2*t = -c + 2*t + 6, 5*c - 62 = 4*t. Calculate the remainder when p is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**6\/1620 - 7*f**5\/30 + 147*f**4\/4 + 11*f**3\/6 + 7*f**2\/2 - 179*f. Let l(b) be the second derivative of c(b). Factor l(y).\nAnswer: 2*(y - 63)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = -8*s. Suppose -49 = -d - 17. Sort d, -3, 2, s in ascending order.\nAnswer: -3, s, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(1\/(60\/(-9))).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 less than 226?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**6\/120 - 17*v**5\/240 - v**4\/6 - v**3\/8 + 13*v**2. What is r in f(r) = 0?\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 96969745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/2, -1\/4, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2780*z**4 - 2*z**3 - 385*z**2 + 9781465*z wrt z.\nAnswer: -33360*z**2 - 12*z - 770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 73, 106, 137?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 7*y + 35. Let b = -334 + 328. What is the remainder when u(b) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:36 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -33. Suppose -2*j - p = -128. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yya when three letters picked without replacement from {a: 1, w: 1, n: 1, h: 2, j: 2, y: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -714 - -814. Find the common denominator of (-80)\/y*338\/(-48) and 9\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:24 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9c8 - 15?\nAnswer: -9dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20d - -4?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llj. What is prob of sequence ljl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11)*k*k*k*k**(2\/29) assuming k is positive.\nAnswer: k**(-230\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 40*o**2 + 3*o - 12. Suppose 0 = 3*i - x - 13 - 1, -4*i - x = -7. Suppose i*h = 4*s + 3, 0*h - 3*h = -2*s - 9. Is r(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-236)\/(-16) + 31 + 3198\/(-104).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1\/3, 0.4, 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/23)*x**(7\/6) assuming x is positive.\nAnswer: x**(137\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*n**2 - 9*n - 2.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 40. Let v = d - 4. Solve 5*w - v = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 18546?\nAnswer: 18548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-32) - 12\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-55)*6930\/308\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -785.6 (c) 2\/3 (d) 0.1 (e) -2.2 (f) 0 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14281 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2867560, -2867492, -2867424, -2867356, -2867288?\nAnswer: -2867220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 71 + 47. Suppose y + 7 = 5*j, -j - 3*y + 19 = r. Solve -k - j*a + 7 = -4*k, k + 5 = 2*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((189\/(-2))\/3)\/((-36)\/(-72)). Let a be (-40)\/j - 118\/(-531). Factor a + 15\/7*v + 9\/7*v**2.\nAnswer: 3*(v + 1)*(3*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12229628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1052 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:01 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2640 + -2638. Let x = -48 - -48.95. Let o = x - -0.05. What is the nearest to o in -3, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - y)*(y + 3*y - 2*y) + 0*y**2 - 3*y**2 + y**2 + (-3*y + y + 3*y)*(-3*y - y + y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/1001*13*(55\/(-15) + 3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*16\/(-644)*(-49)\/((-6)\/6).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 3510. Suppose -9*c = -4*c + a - l, 2*c + 3*a = 702. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0*k**6 + 0*k - 1\/105*k**7 + 0*k**5 + 0 + k**2 + 0*k**4 - 1\/3*k**3. What is the first derivative of p(x) wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71243831*w - 4*l + 42 = -71243828*w, -37 = -4*w + l for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39219908117 and -0.5.\nAnswer: -39219908117.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14a495 (base 12) to base 16\nAnswer: 55631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - a8119959?\nAnswer: -a8119958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -549447 divided by 29?\nAnswer: -549447\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2. Let u(v) = -4*v - 14*v - 9*v + 31*v. Calculate u(k(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 586540247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3990 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/16*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1775.29 + -1783. Let n = 0.63 + b. Round n to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 6.5, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1428 + -4513?\nAnswer: -6042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -5. Let f = c - -2. Solve -2*s = f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 2*((-11)\/(11\/10))\/(-1)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t + 45. Let w(g) = -2*g - 16. Let i(u) = -17*w(u) - 6*z(u). Let s = -372 - -378. What is i(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*w = 4*q - 235*w + 32, -3*w - 32 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(0 - 4\/(-132))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**4 + 595*v**3 + 4*v**2 + 5768*v.\nAnswer: 60*v**2 + 3570*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -32089900 to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138532, -138723, -138924, -139135, -139356, -139587, -139828?\nAnswer: -140079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**4\/24 + 5*l**3\/2 + 404*l**2. What is p(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/928 and -45\/536.\nAnswer: 62176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a = 971792 - 149264. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217376, -217377, -217378, -217379, -217380?\nAnswer: -217381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5602 = -2*k, 65*t + 7013 = 70*t - k. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -2 + (-1 - (-18)\/8). Let x be (-15)\/21 - (-6)\/(-21). Let m be x\/(-2)*(-2)\/8. Which is the second smallest value? (a) -5 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -265*h**2 - 255.\nAnswer: -530*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v**2 - 198595*v + 22066.\nAnswer: (v - 22066)*(9*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 39311?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -52895*i + 54. Is o(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 8*i - 16. Let d be k(-11). Suppose y + 338 = -2*w, 2*w - 2*y = -5*y - 330. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27880 and 11152.\nAnswer: 55760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 17.494. Let z = -0.492424 - p. Round z to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -159, -145, -105, -27, 101?\n\"Answer: 2*z**3 + z**2 - 3*z - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111 - 12*d**3 + 52 - 3*d**2 + 57)*(1 - 1 + d) in the form b*d**3 + t + z*d**2 + i*d**4 + c*d and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-m**2 - 2 + 5 + 4*m**2).\nAnswer: -6*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16448 plus 5768034?\nAnswer: 5784482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702916435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 306.\nAnswer: 91.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hccoashxsshss. What is prob of sequence axs?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 - o**2 - o**2)*(-3*o**2 - o**2 - 3*o**2) - o**4 - 4*o**4 + 3*o**4 to b*o + g*o**3 + x*o**2 + r*o**4 + s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o + 4*x + 143 - 21 = 0, 0 = -2*o - 5*x - 78 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1584) + 0.\nAnswer: 3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -120230 (base 4) to base 9\nAnswer: -2145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 - (-230 + 206)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420390.7mg to grams.\nAnswer: 420.3907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -12. Let y be b\/21*1*-3. Let c be (y - -1)\/(1 + 1). Which is smaller: c or 7\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 1)*(2 + 2 - 9)*(-p + 2*p + p) as x + i*p and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -17. Solve -c*n = f + 13, 4*n = -n - 4*f - 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1494 and 498?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 1 - 2*i**2 - 11*i + 6*i - 4*i**4 to the form b*i + n*i**3 + u*i**2 + a + f*i**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 7.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7095.722t in micrograms?\nAnswer: 7095722000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*k**5*w - k**4*w**2 + 29*k**2*w**2 - 7*w**2 wrt k?\nAnswer: 2700*k**2*w - 24*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -51490 to the nearest one thousand.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242 + 21.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11738*u - 71*u - 95*u to the form k*u + i and give k.\nAnswer: -11904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 2:42 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 716 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7627 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 9*n - 80. Suppose -5*h + 13 = 2*x, 5*x + 3*h + 24 - 9 = 0. Calculate s(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -2\/17 (c) 1 (d) -517\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 63116\/5869 and 12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(95) - 2*sqrt(95) - sqrt(95)) - sqrt(95))\/(sqrt(315)\/sqrt(7)))**2 - (-2*(sqrt(2299) - (sqrt(2299) - (-3 + sqrt(2299)*1))))**2.\nAnswer: -82613\/9 + 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 2 (c) 28110 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 2 + (-3 + 2 - 3)*(6 - 5 + 4))*(v**2 - 7*v + 9*v + 0*v) to the form k*v + d + p*v**2 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.61 - 5.2. Let o = v + 0.5951. What is o rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 - 64 = 0. Let j be (-18)\/(-12) - a\/4. Suppose 3*z - j = 4*x, -5*x + 17 = -8. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 8:12 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 20. Let m be w(-10). Calculate the remainder when (-3)\/((-18)\/(-24))*m\/(-4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 - 9*n**3 + 6*n**2.\nAnswer: 3*n**2*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -13. Let m = -9 + j. What is the units digit of -6*m\/(-4)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -15*l**2 - 2*l - 3. Let r(p) = 16*p**2 - 30*p**2 - p - 5 + 13*p**2 + 4. Let z(n) = 4*r(n) - x(n). Calculate z(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1768 and -55\/34?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 7*c + 1074 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 + a + 7*a**2 + 14*a**2 - 29*a**2.\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**4 - 127*z**3 - 605*z**2 wrt z.\nAnswer: -24*z - 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 3*y)*(-5 + 0 + 4)*(-4 - 1 + 1).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 20 = -4*q, 6 + 6 = -q + 4*r. Let u be -8*(q\/(-8) + -1). Let k = u - 24. Which is bigger: -21 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*77\/(-504)*-4 + -6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 - 5*y + 3. Let w be m(3). What are the prime factors of w - 3 - (-43 - 1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + -4. What are the prime factors of c*(-4)\/6 - (-1)\/3?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 404513089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, -2, 0, -965 in decreasing order.\nAnswer: 3, 0, -2, -12, -965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let r be (-81)\/(-15) + x\/(-5). Find the third derivative of 67*h**3 - 3*h**2 + r*h**2 - 59*h**3 wrt h.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761066741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/3 + 4154*u**4\/3 + 33608*u**3 + 52024*u**2\/3 - 3357376*u\/3 - 2958208 = 0.\nAnswer: -22, -4, 6, 2101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0845 times -0.1\nAnswer: 0.00845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 44425*s - 44450*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**3 - 16*k**2 + 67*k + 726. Let o(i) = -2*i**3 - 14*i. Let r(b) = -12*o(b) - 3*q(b). Find t, given that r(t) = 0.\nAnswer: -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 20, 5*s - 16 = 4*s + 3*m. Find the second derivative of 8*g + 3*g + s*g**2 - 29*g - 14*g**2 wrt g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**6\/120 - s**5\/6 + s**4\/3 - 3*s**3\/2 - 3*s**2. Let x be w(7). Round x to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**3\/6 + c**2\/2 - 2*c. Let u = 12636 - 12633. What is r(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 135 = 4*n - 132, 57 = n + 2*o. Let f = n - -18. Suppose -2*h = -a - f, 0 = -h + 4*h - 3*a - 114. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263656 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*o + 6*t - 34, -5*o - 5*t + 85 = 0. Suppose 2*y - 43 = o. Suppose -5*i = s + 19, 0 = 4*s - 5*i - y + 6. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -3 (b) -39 (c) -134 (d) 5 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3119\/2574 or 0?\nAnswer: 3119\/2574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139616950?\nAnswer: 2, 5, 11, 97, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -20 - -10 - -2 - -11\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-30) - 1001\/(-195). Let f(k) = -k**2 + 7*k + 2. Calculate f(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8*2) + 0. Let d be 5*(9\/(-15))\/(-1). Suppose -v = l + 2 - 8, 0 = d*l - 3*v + 6. What is the second smallest value in l, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 286 - -704. Let l be 2 + -2 - 2 - i\/(-506). Suppose 0 = 4*h + 5*g - 9, -5*h - 3*g + 5 = -3*h. Is h bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 287*u + 1893. What is z(-7)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/20 - 880\/(-150)*6\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38003248*p**3 + 93*p**2 + 727152.\nAnswer: 228019488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.5 (c) -0.4 (d) -3 (e) -9 (f) -2\/273709\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16946 is divided by 5593.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 25*c + 29. Calculate n(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 9:08 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.53 times -660706\nAnswer: 350174.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 v when four letters picked without replacement from {t: 3, r: 2, x: 2, b: 2, v: 4, i: 1}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -232.8\nAnswer: -241.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8897*c + 960882. What is g(-108)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1708 by -16.\nAnswer: 427\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s**3 + 21*s + 562 with respect to s.\nAnswer: 12*s**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108610, 217506, 326402, 435298, 544194, 653090?\nAnswer: 761986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -34, 2\/3, -23324, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 3*r - 92 + 101 = 0, -3*m + 5*r = -15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 1\/60*h**5 + 0*h + 1\/4*h**4 + 16*h**2 - 7\/6*h**3 + 0. Suppose t(z) = 0. Calculate z.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x + 17*x + 51*x - 15*x.\nAnswer: 79*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43741188 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2833933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (273 - 122 - 107)*(-c + 0 + 0)*(2*c**2 + 2*c**2 - 3*c**2) as i + q*c + t*c**2 + m*c**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 737, 736, 735, 734, 733, 732?\n\"Answer: -c + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165894 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) 0.5 (c) 2 (d) 8826959\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 80407 + 26025 = -3*m, -5*m - 2*z + 90602 = 0. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 1:20 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510590431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1119129 and -79\/67826.\nAnswer: 2238258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 125, 1007, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h + 0*h**6 - 1\/70*h**7 + 0*h**4 + 0*h**3 + 0*h**5 + 0 + 9*h**2. Factor l(w).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/9)\/l**(-3\/11)*(l**(6\/11))**8)**(2\/57) assuming l is positive.\nAnswer: l**(830\/5643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*s**3 - 170*m**3*s**2 - 2*m**3 - 3*m**2*s - 76244168*m*s**5 + m*s**2 - 2*m - 2993*s wrt s?\nAnswer: 6*m**3 - 4574650080*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*77\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*h**3 + 4*h + 24*h**3 + 0*h + 27*h**3 - 3*h - 130 to v*h**3 + c*h**2 + w*h + d and give d.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(5) + 2*sqrt(5) + 0 - ((sqrt(30) + sqrt(30)*-2 - sqrt(30))*1)\/sqrt(6).\nAnswer: 2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.2 - -18. Let q = h + 0.2. Let i = 16 - 16. What is the third biggest value in 1, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61155734046 + 7?\nAnswer: -61155734039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301 and 24682.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243 (base 15) to base 14.\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/79 - -241\/158. Which is the fourth smallest value? (a) w (b) 4 (c) 0.1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -25) + -3 + (86 - 94 - (-2 - 18)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Suppose -3*y = -g*y + 8. Solve -n - y = 4*t, -3*t = -n + t + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 13*o - 11*o - 26, o = -3*d - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s. Let d(n) = -2*n. Let q(k) = -6*d(k) - 2*l(k). Let z(p) = -940*p - 24. Let h(i) = 2471*i + 63. Let r(b) = -8*h(b) - 21*z(b). What is q(r(o))?\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75299 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1026 and 86434560?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 7*p**2 + 6*p + 3. Let s be o(6). Factor -2*l**4 + l**4 - 8 + 3*l + l**s - 7*l + 6*l**2.\nAnswer: -(l - 2)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970041 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/117*(-18)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0*n + 4*n**2 - 4*n + 4*n. Let g be z(1). Suppose 0 = -u - 3*u - 20. Sort u, g, 1 in increasing order.\nAnswer: u, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/sqrt(28) + (sqrt(7) - sqrt(28)\/sqrt(4)*2))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5238.8 times 694\nAnswer: -3635727.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1236 and 61\/157076.\nAnswer: 48536484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -82 (c) 1 (d) -1\/6 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {x: 1, o: 1, e: 2, f: 1, l: 2, q: 7}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-16))\/((2\/20)\/(-1)). Let t(m) = -33*m - 62. Let n(s) = -49*s - 94. Let i(o) = u*n(o) + 7*t(o). Find the first derivative of i(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*z - 57, -2*z + 6 - 63 = -k. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/5880 + 6730\/(-1050))*7\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 5. Let i = 8 + -2. Let m be i\/(-21) + 23\/7. Sort m, a, -0.1 in increasing order.\nAnswer: a, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -387) + -59 + 68. Solve u*o = 404*o + 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6935346\/4950 - 4\/50 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38 or -25?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(595\/(-260)))\/(42\/98)*(-3)\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yts when three letters picked without replacement from ktesnsnskkskkysnk.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58a (base 15) to base 13.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 79. Let u be z(-15). Let b(a) = 2*a**3 + 9*a**2 - 10. Let c be b(u). Let f(i) = 2*i**2 - 9*i + 2. Determine f(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 17*l. Let g(j) = 4403*j - 13. Give g(d(p)).\nAnswer: 74851*p - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**7\/840 - q**6\/120 + q**5\/30 - 5*q**4\/24 + 2*q**3 - 21. Let j(c) be the third derivative of t(c). Give j(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -20*c**2 + 13238*c + 94999. Give r(669).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14352 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 3*i**3 - 9*i**2 - 3*i + 6.\nAnswer: 3*(i - 1)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16888cbb + 5?\nAnswer: -16888cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4227.07 + 4202. Let d = j + 26.8. Round d to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6569 - -6627. Solve 12*l + 10 = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13364 and 47848?\nAnswer: 159860168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/75 + -5 + (-179)\/(-15). Let y be ((-8)\/(-28))\/(3\/21). Let t(x) = x + 1 + 17*x + y - 5*x. Let v(i) = 4*i + 1. What is s*v(o) - 2*t(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10163334 and 108.\nAnswer: 182940012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c + 35*c = -9, 11 + 37 = 9*w - 2*c - 9 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466047 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -834 - -834.2. Let n(c) = -9*c - 10 + 20*c - 13*c. Let j be n(-4). What is the third biggest value in o, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 25*j - 1237. Determine k(44).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g - g - 3*g)*(0*g**3 + 4*g**3 - 2*g**3) - g - 1 + 2*g**4 + g to the form k*g**4 + p*g**2 + j*g + l*g**3 + n and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*w + 231 = 0, -5*l = -l - 3*w - 453. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i + i)*(-1 + 3 - 3)*(4*i - 3*i + 2*i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + 11. Let f = x - 75. Let w be (1\/((-4)\/(-46)))\/(8 + f). Which is greater: -7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1122311023?\nAnswer: 1122311031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 257312585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*m = 19, -m - m - 10 = 0. Let v be 40\/(-6)*q\/(-6). Let i = 12 + v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 2 - 4*u - 4. Let z(a) be the first derivative of a**2 - 5321. What is h(z(y))?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 15 = -9*x + 13*x, x + 5 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 + -240. What is the lowest common multiple of g and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4567 or 4566?\nAnswer: 4566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, 2018, 3.\nAnswer: 0.4, 1, 3, 2018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -p. Let o(g) = g**3 + 3*g**2 - 3*g + 2. Let w be o(p). What is w rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*d = 28, 2*d = -2*d - 8 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -45. Let a(b) be the second derivative of 17\/12*b**4 + b**5 + 0 - 35*b + 0*b**3 - 7*b**2. Let m(w) = 7*w**3 + 6*w**2 - 5. Give z*m(t) - 6*a(t).\nAnswer: -t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**5\/20 - 5*c**3\/6 - 2*c**2. Differentiate i(o) with respect to o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143338 by -1.\nAnswer: -143338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27, 2\/3, -1, 0, -22803, -3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142645.2 litres to millilitres.\nAnswer: 142645200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103707891?\nAnswer: 3, 7, 548719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 + c + 2. Let s be k(-3). Suppose -4*f = p - 15, 2*p - 3 = -f + p. Calculate the greatest common factor of s and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 19 = 2*m + m, 2*a = -2*m + 2. Suppose 0 = m*t + 2*o - 41, 2*o - 5 = -3. What is the remainder when (0 - -1)*1430\/t is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454064.\nAnswer: 2, 3, 30293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(-1 - 2 + 2) - 2 - 5 + 17)*(-9 + 21 - 14 - 4*g)*(0*g + 0*g - 3*g**2).\nAnswer: 132*g**3 + 66*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 461 = 65*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37130632 divided by -30968?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3782 and 620?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:38 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 875 + -640. Let u = l + -219. What is the smallest common multiple of 10 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q + 6 - 33*q**2 + 25*q**2 - 6.\nAnswer: -8*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 93*m**2 + 394*m - 261. Let z(p) = 3*p**3 - 187*p**2 + 789*p - 535. Let y(f) = -10*l(f) + 6*z(f). Factor y(k).\nAnswer: -2*(k - 3)*(k - 1)*(k + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 - -55. Let j = q - -45. What is the smallest value in -5, j, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1415 + 629. What is g rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -161, 2, 0 in descending order.\nAnswer: 2, 1, 0, -5, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4856 divided by 2428.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26213 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.168558 in 33, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.327622 micrograms?\nAnswer: 0.000000001327622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 5. Let k be d(-5). Suppose -b + 2*b - 3 = k. Find the first derivative of 6*p**b - p**3 + p**3 - 3*p**3 + 2 wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**3)**8)**(6\/5))**(-31) assuming r is positive.\nAnswer: r**(-4464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 1043 - 1067, -m - 5*x - 52 = 0. Put -5, -6, m in ascending order.\nAnswer: m, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 274\/15 - 56\/3. Which is the closest to 0.24? (a) k (b) 1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4247 rounded to one dp?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 + x - 1. Let t(u) = -3*u**3 - 2*u**2 + 3*u + 2. Let d(n) = n**2 - 10*n + 12. Let s be d(8). Let z(l) = s*b(l) + t(l). Determine z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6950607, -13901217, -20851827?\n\"Answer: -6950610*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 6) in base 4?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/15)*x*x**(9\/8)*(x\/x**9)\/x**(-1\/4))**4 assuming x is positive.\nAnswer: x**(-571\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 8\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 5*p = -3*k - 37, 4843*p = 4842*p + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18499 is divided by 267?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 672 = -15*o - 570 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -551 or -19?\nAnswer: -551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 330, 0.3, -234\/53 in descending order.\nAnswer: 330, 0.3, -234\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151675408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*w - 12, -3 + 0 = -w. Let t = b + 8. Suppose -r + j - 1 = 0, -3*j + 4 + 2 = -2*r. Calculate the highest common factor of t and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/12702 - 92429\/616047. Calculate the common denominator of ((-11)\/4 - -2)\/((-12)\/296) and i.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.9 (b) 2\/9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -9*g**4 - 3999*g**3\/5 - 73176*g**2\/5 + 9828*g\/5 = 0.\nAnswer: -63, -26, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196458280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -90.8\nAnswer: 544.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 11*m**2 - 21*m + 14. What is w(7)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -378 + 378. Is m bigger than 12\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -4, -24566?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apaa when four letters picked without replacement from ppappppapappappppp.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26378 and 4840?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 360*l - 374*l - 210 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h + 18 - 138 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) + (sqrt(4) - (sqrt(4) + (sqrt(576) - (sqrt(576) - 1*sqrt(576)))))).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a kilometer in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 6 + 4)*(10*j**2 - 12*j**2 + 1 + 2) to i*j + w + p*j**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*h - 5, 0 = -3*l + 3*h + 60. Suppose -3*z - l = -55. Let i = -5 + z. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a**5\/7 - 6*a**4 + 142*a**3\/7 + 558*a**2\/7 - 1070*a\/7 - 300\/7 = 0. What is a?\nAnswer: -5, -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1164 and 7067 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 2)*1 + -2.\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -1\/3*i**3 - 1\/24*i**4 - 3\/4*i**2 - 44*i + 0. Factor v(f).\nAnswer: -(f + 1)*(f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -1 + 3 - -1. Let j = -5 + 4.8. Which is the third biggest value? (a) j (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1801 is divided by 137.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) -3 (c) -0.03 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122210 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-1 - -7) - 10) + 2 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2 + 6*p**3 - 3*p - 3*p**2 + 5*p**2 - 2*p**3. Let u(k) = k**3 + k**2 - 1. Suppose -446*i + 595*i + 194 - 45 = 0. Give i*n(t) + 2*u(t).\nAnswer: -2*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/1 - (-166)\/249?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -647671392668 and -0.5?\nAnswer: 647671392667.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4712 and 7328.\nAnswer: 4316192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011001111 - -100100?\nAnswer: -101011010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -287, -608, -929?\n\"Answer: -321*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + g + 10, 7 = -178*g + 177*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*-0.56.\nAnswer: -0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1815)*-1)\/(-1*sqrt(108)*2).\nAnswer: 11*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-5) + 6\/15. Let w be 58\/(-8)*(1 - 5). Suppose -5*g + 3*x = -33, w = 5*g - s*x + 3*x. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from rroooroorrrr.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21312.67 years to millennia.\nAnswer: 21.31267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + 111. Let u = l - 53. What are the prime factors of u?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {r: 11, w: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 947436 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 8*o - 8. Let m be j(6). List the prime factors of 7\/((-4)\/m)*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 = -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-191)\/(-18909))\/(2\/9)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 415318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/60 - 3*c**4\/8 + 4*c**3\/3 + 2*c**2. What is the units digit of y(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1527*w - 2039 + 33411 = -2647*w + 1373*w for w.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 80, -1\/31, 0.27?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -11726272\nAnswer: -11726271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -47 + 16 - (-20 + (-7 - -5))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(12\/5838*(-14)\/(-8)). Let h = p + -262. What is the highest common factor of h and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a**4\/7 + 4269*a**3\/7 - 80928*a**2\/7 + 365541*a\/7 - 12342 = 0. What is a?\nAnswer: -374, 1\/4, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 12:34 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -299 + 302. Let b(h) = 4*h - 15. Let j(c) = 11*c - 41. Let o(d) = l*j(d) - 8*b(d). Suppose 0 = -4*n - n. Determine o(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 3*s**2 + 2. Let j be m(3). Solve 0 = -3*g + z - 14, j*g + 3*z - 3 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53664276*t + 53664276*t - 1002*t**3.\nAnswer: -1002*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5952 - 5917. Solve 16*v + y - 115 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f + 120. Let k be z(-12). Suppose 172 = r + 7*d - 2*d, -3*d - 3 = k. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2205\/(-72))\/7 + (-3)\/(-8). Let m(j) = j**2 + 4*j - 1. Calculate m(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (1 - (1 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = -6. Suppose -2*l - 8*n = -5*n - 3, -5*n = -4*l - 27. Put l, -6, z, 5 in decreasing order.\nAnswer: 5, z, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 174200*j**2 + 43386112*j + 2693752192.\nAnswer: -4*(j - 43798)*(j + 124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + j**2 + j + 2. Let h be d(0). Let t = h + -10. What are the prime factors of (-52)\/(-1) + t\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4232965.\nAnswer: 5, 11, 76963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 8*p = 7359 - 3676 - 3664 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28573 = 4*p + 1953. Suppose 57*v - p = 46*v. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (-15)\/6*18\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218.5 - 355. Let y = q - -137. Which is the closest to -0.1? (a) -4.3 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-28))\/(65\/(5915\/(-52)))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3) + -1 - (135 - (-116494)\/(-848)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = q + 2*q + 73, -122 = -4*f - 2*q. Let g be f\/(-8) + (-4)\/(-1). Solve 5*b - 4 - 1 = g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 156610.2cm?\nAnswer: 1.566102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(143)\/(sqrt(11) + sqrt(11)*-2).\nAnswer: -sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dttddvtttdtttdtvttd. What is prob of picking 1 v and 2 d?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 5*p**2 - 5*p - 3. Let m be j(-4). Let d = -192\/89 - -72206\/33553. Are m and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858701 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -22.5. Which is the second smallest value? (a) v (b) -6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 4 = -m. Let y(t) = -t + 27. Calculate the remainder when m is divided by y(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, w: 2, o: 8, c: 2, h: 1, k: 1}. What is prob of sequence kown?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14*o**3 - 23*o**2 + 11*o - 17. Let s(g) = -2*g**3 + 14*g**2 - 11*g. Let i be s(6). Let h(d) = 5*d**3 - 8*d**2 + 4*d - 6. Calculate i*m(v) - 17*h(v).\nAnswer: -v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, o: 1}. What is prob of sequence oee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w - 100. Suppose 2*k + k = 6. Suppose k*x + 15 = -3*x, 5*x = -z - 5. Calculate the highest common divisor of z and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15910 >= 15909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86\/3*p**2 - 1\/3*p + 0.\nAnswer: p*(86*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/15)*z)\/z**(-2\/11)*z**1\/(z*z*z\/(z**(-6)*z)*z)*((z*z**(-4))\/z**6)\/(z\/z**(1\/3))**2 assuming z is positive.\nAnswer: z**(-881\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 1488100.147.\nAnswer: 1488101.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155145351?\nAnswer: 3, 51715117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, -1152, -5, 267 in descending order.\nAnswer: 267, 3, 1, 0, -5, -1152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*(-2 + 13 + -5). Let y be 4\/16*(-2 + -2 - a). What is the biggest value in -17, -0.08, y?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*q + 51844, 3*q + 351 - 372 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299255.3 decades to millennia.\nAnswer: 2992.553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fibb when four letters picked without replacement from bfbfi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2224 and 1112?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + n**2 - n - 15. Determine i(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 4*t**2 - t - 1. Let b be x(-4). Suppose -b*w - 2*o + 17 = 0, 0*w - 15 = -w + 4*o. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -i - 3*o + 79, -4*i + 3*o = -329. Calculate the remainder when 334 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 8*t**2 + 3576*t + 1133. Determine l(64).\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -546 - -1015?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 31. Suppose a*m = -m. What is the second derivative of 73*u + m*u**4 + 4*u**4 - 86*u wrt u?\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12768\/1248 + (-12 - -2)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 226, 4, -19, 0, 6 in descending order.\nAnswer: 226, 6, 4, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*v - 2 - 103*v - 69*v - 12.\nAnswer: -234*v - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 210868127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(sqrt(56) + sqrt(168)\/sqrt(3)))\/(sqrt(200) - sqrt(200)*-2).\nAnswer: 1 + 8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9 + -13.9. Let n = 227360726 - 227360737.99999944. Let p = j - n. Round p to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/169 + (-4)\/(-26). Let i be 7\/(-4) + (-2)\/8. Sort i, -1, x in descending order.\nAnswer: x, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-30)*-6 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 111*x**2 + 555*x + 2583.\nAnswer: -3*(x - 7)*(x + 3)*(x + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (11 + -3 - -6)\/((-19)\/95)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -d067 (base 16) in base 11?\nAnswer: -370a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1930, 3971, 6150, 8479, 10970, 13635, 16486, 19535?\n\"Answer: 2*k**3 + 57*k**2 + 1856*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 58 - 54. What is the smallest common multiple of 6 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9418, -18835, -28254, -37675?\nAnswer: -47098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -78*d**3 + 2*d**2 + 2*d + 213. Let j(v) = 386*v**3 - 11*v**2 - 11*v - 1065. Let r(q) = -2*j(q) - 11*u(q). What is the derivative of r(f) wrt f?\nAnswer: 258*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0 - 2\/3*h**2 + 1\/9*h**3 - h + 1\/18*h**4. Solve q(l) = 0 for l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -27*y**3 - 5*y - 4. Let w(q) = -14*q**3 - 3*q - 2. What is -3*l(n) + 5*w(n)?\nAnswer: 11*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 18.9. Let x = r + -1. Let q = 2.9 - 3. What is the nearest to q in x, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 4. Let o(y) = -y - 1. Let m be o(6). Suppose 38*x + 24 = 518. Let f = x + m. Give c(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5471, 5493, 5517, 5543, 5571, 5601?\n\"Answer: u**2 + 19*u + 5451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4337311*y - 756. Let b be k(-4). Round b to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 14094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (1 - 0 - (6 + -8 + 6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**4 + 0 + 5\/42*h**7 - 3\/2*h**3 + 0*h**6 + 0*h**5 + 0*h**2 + 14*h. What is the second derivative of y(i) wrt i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.143*-44\nAnswer: 6.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*y + 1288 = -12804 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + -5 + (sqrt(80) - (sqrt(80) + -1)) + (0 + 2*sqrt(80))*1)**2 + 0.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 10\/(-6))*(-195)\/(-130). What is the tens digit of (14469\/(-78))\/((-2)\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392, 815, 1246, 1691, 2156?\nAnswer: 2647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3673 divided by 1?\nAnswer: -3673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 15 = -5*l. What is the second smallest value in 2\/5, 0.5, l, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 50.2. What is the fourth biggest value in u, 19, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52276, -104568, -156864, -209164?\n\"Answer: -2*l**2 - 52286*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let f(n) = n + 11. Let z be f(-12). Let j(m) = 1. Let a(b) = 6*b + 6. Let r(c) = z*a(c) + 6*j(c). What is d(r(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34a + -2?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043141?\nAnswer: 11, 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 121.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 64910.1 milliseconds in microseconds?\nAnswer: 64910100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 - 351*o - 166)*(2 - 4 + 1 - 4 + 3 - 3 + (-1 + 0 + 0)*(-4 + 3 - 1)).\nAnswer: 1053*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.031664 + 3.968336. Let y(f) = -f**3 - 11*f**2 - 10*f - 4. Let h be y(-10). What is the third smallest value in h, v, 0.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30 + 1 + -2 + -2. Find the third derivative of 0*w**4 - 2*w**4 - g*w**2 + 21*w**2 wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(66)*2 - (-6*(-1*sqrt(66) + sqrt(66)) - sqrt(66) - sqrt(66)))\/(sqrt(54)\/(((sqrt(72) - sqrt(72)*1) + sqrt(72))\/sqrt(8))).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - -1)\/((-11)\/495). Let l be 0\/2 + (-3)\/(w\/6). Are 4 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 14*z**2 - 22*z + 25. Suppose -9*q + 60 = -14*q. Let d be w(q). Which is the second biggest value? (a) d (b) -0.4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72069934 is divided by 795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66, 80, 62, 0, -118, -304?\n\"Answer: -2*g**3 - 4*g**2 + 40*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (5 - 12)) + -11 + 13 + -26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19397?\nAnswer: 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135460 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 534258769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7.012 * -11\nAnswer: -77.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4333429 to the power of 1\/2, to the nearest integer?\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*2284.5921\nAnswer: -114.229605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**6\/16 - m**5\/20 - 5*m**4\/16 + m**3\/2 - 31*m**2\/2 - 28. Let t(d) be the second derivative of z(d). Solve t(s) = 0 for s.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t - 8 = 0. Let v be 35\/(-10) + (t - -6). Let h = -20 - -19.7. Sort v, -1, h.\nAnswer: v, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-two fifths of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/44910 and 121\/77844?\nAnswer: 1167660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1871887 is divided by 935906.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*s + 6*s = -15, 5*s - 10 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3100669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1036 by 114.\nAnswer: -518\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3981775 or 3981768?\nAnswer: 3981775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**3\/7 - 2794*r**2\/7 - 29758*r\/7 - 14180\/7 = 0.\nAnswer: -10, -1\/2, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 327*a = 328*a - 18, 6 = -4*x + 5*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 9 + 38 = -36. Solve n = 4*j - 19 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 16*l**2 + 2*l**3 + 0*l to the form r*l**2 + w + a*l**3 + c*l and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 73*i + 42. What is n(37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 10*o**2 + 13*o + 12. Let m be a(-9). Let c be 34\/8 - (3 - (-66)\/m). Is 1\/2 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/5)*(z*z**8*z)\/z*(z**(-2\/3))**2 assuming z is positive.\nAnswer: z**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4 + 267*x**3 - 9*x**2 - 556*x**3 + 290*x**3 + 5*x. Give b(6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(847)*-3 + -3 - (2*(sqrt(847) + (sqrt(847) - -1*sqrt(847))) - (5 + 0 + sqrt(847)))))**2 + -3.\nAnswer: -352*sqrt(7) + 54209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -c - 54*p + 52*p, -p - 2 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x. Let h(y) = 11*y. What is h(w(t))?\nAnswer: -66*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5074874131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 166223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1459777 divided by -31.\nAnswer: 1459777\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 + 0.05. Let l = -6.188 + 6.3. Let t = l - -0.188. Which is the closest to u? (a) -4 (b) t (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 55\/6 (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 557*w - 4462. Let c be g(8). Let n be -2 + 0\/2 + -2. Sort 2, c, n in decreasing order.\nAnswer: 2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-6) - (-22)\/4 - -5977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*d = -2442 - 3254 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from qqvqvqvq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 + -3 - (-6 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 26609, -45, -4.\nAnswer: -45, -5, -4, 26609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/105)\/((-2)\/20*-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:17 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 + 2*x - 6. Suppose 27*k - 15 = 30*k. Let w(o) = -6*o**2 + 5 - 2*o - 1 + 1. Give k*w(i) - 4*y(i).\nAnswer: 2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - b - 16 - 25, -8*b = -2*c - 29 + 26 + 31 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117558628, -117558629, -117558630, -117558631, -117558632?\nAnswer: -117558633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -0.10914906?\nAnswer: -7.10914906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -28 - -29) + -59.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 3211*a**2 + 20 - 10*a**3 - 3326*a**2.\nAnswer: -10*a**3 - 115*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -801700, -1603386, -2405072, -3206758, -4008444?\nAnswer: -4810130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 11:19 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1680*l + 1872*l + 1677*l.\nAnswer: 5229*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 - 61. Suppose -4*o + 132 = k, k - 8*o + 4*o = n. Suppose 5*d = 5*g + 280, d - 3*d = g - k. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0, -49 in descending order.\nAnswer: 5, 0, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -1) + -2 + 0 + 2. Let j be k\/9 - (-4)\/(-12). Suppose 2*u - 4*o - 174 = 0, 2*u - 192 = -j*o - 5*o. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*j - 261*j**4 - 48*j - 7 + 141*j - 51*j to the form d*j**4 + f + g*j + a*j**2 + r*j**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -594*x - 1527. List the prime factors of g(-17).\nAnswer: 3, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*h - 7 = 0, -2756*w = -2753*w - h + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 2616658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oex when three letters picked without replacement from ewooxooeooooooooo.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, p: 6, x: 4}. Give prob of sequence pxpq.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17994*t - 8584*t - 2068451 = 285*t for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**2\/15 + 34*o\/5 + 269458\/15.\nAnswer: -2*(o - 133)*(8*o + 1013)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Let d = -34 - -34. Suppose -4*a = -d*a + a. Calculate k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5))**(-9\/14))**(-8\/3)\/((b*(b*(b**(4\/5)\/b)\/b)\/b*b)\/b*b**(-1\/3)*(b**(-1))**(3\/17)) assuming b is positive.\nAnswer: b**(2491\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*x + 412 + 217*x - 412.\nAnswer: -126*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/10 + 4\/15. Which is smaller: -2\/39 or d?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iill when four letters picked without replacement from {p: 1, g: 6, m: 2, i: 3, l: 4}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 569633256 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9310 and 75411.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 331899616?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.94276 rounded to 2 decimal places?\nAnswer: -39.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20089 != -148.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 - 55*a + 11. Let d be w(9). Factor 7 + d*v**2 - 11 + 32 - v**2 - 29*v.\nAnswer: (v - 28)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1)*-1*13. Let r = 2703 - 2664. What is the highest common divisor of o and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 4 (c) 2 (d) -0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 19799.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 5*n - 15, 5*d - 95 = -11*d + 3*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {b: 1, q: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxaxxxxxaxxxxaxa. What is prob of picking 2 a?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1568) + 0)*-5 - (((0 + sqrt(288) + sqrt(288))*6 + sqrt(288))**2 - (sqrt(200) + (-1 + sqrt(200))*2)).\nAnswer: -48671 - 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 11:21 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4*4\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*v**2 - 1 + (-3*v + 4*v - 2*v)*(2*v + 1 - 1) + 3*v**2 - 2*v**2 + 2*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j + 6. Let l(a) = 13*a + 6. Let q(c) = 2*l(c) - 3*t(c). Is q(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 + (0 - -1). Calculate the lowest common multiple of 4 and (q - -1)*(6 + 10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-1 - (2 + -3)). Let t(l) be the third derivative of -1\/120*l**6 + 0 - 1\/12*l**5 - l**2 - 1\/6*l**3 + 0*l - 1\/6*l**4. Calculate t(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o + 35. Let z(h) = -4*h + 17. Suppose -5*b + 2*w - 41 = w, w = -b - 13. Let n(r) = b*z(r) + 4*m(r). Is n(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -23. Suppose -4*w = -6*w + 8, 4*y = -w + 12. Let t = y + v. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 12*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**7\/42 - k**6\/3 - 5*k**5\/4 + 5*k**4\/3 + 40*k**3\/3 - 15*k**2. Factor z(x).\nAnswer: -5*(x - 1)*(x + 1)*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(70) - (-2*2*sqrt(70) + sqrt(70))))\/(-6*(-2*sqrt(100))\/sqrt(10))*-1 + 0.\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 35*b - 20 - 3*b**2 - 6*b. Let j(i) be the first derivative of 3*i**2 - 4*i - 1. Let k(l) = 2*a(l) - 11*j(l). Give k(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*o**2 + 2*o**2 + 3*o**2)*(-3 + 4 + 0) + 8 - 8 - 5*o**2 to the form d*o + a*o**2 + x and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3878671328 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -523 - -358. Is 9 a factor of 0 - (q\/6 + -4)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**2\/2 - 4*v - 5. Let s be u(6). What are the prime factors of (20\/8)\/(s\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15737 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w - 16 = -3*a, 0 = -5*w + 3*a - 31. Put w, 0.4, 4 in descending order.\nAnswer: 4, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 469 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 3863274 and 0.5.\nAnswer: 3863274.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 8*a**2 + 10*a + 1. Let d(l) = l**3 - 6*l**2 - 7*l - 325. Let f be d(10). Give b(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 20482?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y = 59*y + 12. Suppose z + 1 = -q, 8*z = 5*q + y*z - 9. Solve -2*h + 5*s - q + 3 = 0, -3*s = h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(128) + 4 + sqrt(128) - (-1*sqrt(352))\/sqrt(11).\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 18459892*y - 42595951581458.\nAnswer: -2*(y + 4614973)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2 - 4081*n. Let l(p) = p**2 - 4*p. What is -b(i) + 8*l(i)?\nAnswer: 2*i**2 + 4049*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -3357.\nAnswer: -13\/3357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4 = -2*z, 1283*z + 27*p = 1279*z + 163 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (104 - 117))*((-2)\/(-4))\/((-2)\/76)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*m - 4 + 46*m + 6 - 74*m**2 to the form f*m**2 + j + q*m and give f.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18746\/(-8) + (-2)\/(-3). Let p = -2341 - h. Calculate the common denominator of 79\/4 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*u**5 + 79*u**4 - 79*u**4)*(17 - 7 + 9)*(-4 + 2 + 3).\nAnswer: -323*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000010010101100101 (base 2) to base 9.\nAnswer: 1442820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/15 (b) -2\/5 (c) 6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 - 2.66. Let u = 0.7 - g. Let v = 9.6 - u. Round v to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 9*t + 46 - 69 = 0, -3*t = -5*c - 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*j - 64 + 64)*(-21 + 39 + 42) - 2 + 2 + 2*j + (0 + 2*j + 0)*(1 + 2 - 1) + 1 - 1 + j - j - 2 + 2.\nAnswer: -1734*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530 = -29*p + 187 - 50 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42896100.723 plus 5.06?\nAnswer: 42896105.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -74, -475, -1142, -2075?\n\"Answer: -133*p**2 - 2*p + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:27 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/9 + 169778*x**2\/3 - 3607792000*x + 5408315875000\/9 = 0. What is x?\nAnswer: 167, 127250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/5*(-6)\/8. Let c be 0 - 1 - (1 - 3). Let p be ((-1)\/c)\/(-1)*-2. Is a >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhwi. Give prob of sequence hi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*c + 786*c = -3*k - 67, -c = k + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = -42 - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 69 + 14 - 34 - (1 - 34)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -29. What is the second derivative of 34*o - 68*o - 3 + 32*o + a - 35*o**4 wrt o?\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 1:48 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**6\/60 + 7*u**5\/30 - 5*u**4\/4 + 3*u**3 + 14*u**2. Factor k(x).\nAnswer: -2*(x - 3)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-47580)\/(-40) - 15\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -9. Let g = 192.3 + -182. Let p = g - -13.7. Put p, t, -1, 2 in increasing order.\nAnswer: t, -1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19c5 - eb60?\nAnswer: -d18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 take away 1113643266146?\nAnswer: -1113643266145.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -32. Suppose 4*h + 750 = -11*h. What is the second biggest value in h, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 32 + 2\/5*u**7 + 3*u**2 + 0*u**5 - 51*u**3 + 0*u**4 + 0*u + 0*u**6. What is the first derivative of m(l) wrt l?\nAnswer: 336*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-16)*4*21. Let a = r - 103. Solve -3*f = -7*l + a*l + 22, -16 = -f - 3*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11545)\/(-7) - 146\/511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152839060 to the power of 1\/2, to the nearest integer?\nAnswer: 12363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - 1)\/12)\/((-4)\/(-12))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -28, -73, -146, -253?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88747508.\nAnswer: 2, 22186877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (167 - 58) - (0 + 2 + -5)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 - 3*w + 22*w + w**2 - 4*w.\nAnswer: -9*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-16))\/(6\/(-8)). What is the units digit of (a\/(-4) + 0)*-128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v = -74*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -2. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 0*j**3 - 7*j**2 - j**2 + 10*j**2 + 3 + 5 to y*j**2 + a + q*j + o*j**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*4\/(-576))\/((-10)\/4*(-120)\/(-48)).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 8*y**5\/3 + 24100*y**4\/3 + 8068144*y**3 + 8108480704*y**2\/3 + 4048192256*y\/3 = 0.\nAnswer: -1004, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4, -3, 8.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -553*m**2 - 2596*m - 2598. Determine f(-1).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 53907.16g?\nAnswer: 0.05390716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - 254. Let w = -150 - x. Let h = 0.1 - 0.2. Which is the fourth smallest value? (a) w (b) 1\/3 (c) 2\/3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 2, 0, -2, -5.\nAnswer: -5, -2, 0, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21205664, -42411332, -63617000, -84822668, -106028336?\n\"Answer: -21205668*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29885 * 0.086\nAnswer: 2570.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*h = -1911, 3*h = 54*c - 55*c + 649. List the prime factors of c.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 71. Solve -c*d + 15 = 5*j, 4*d - 2 = -2*j + 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y + 518 = 18*y - 49*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 731 - 730.9. What is the closest to -4 in -4, -2, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2656*m**4 - m**3 + 24*m**2 - 2388267 wrt m?\nAnswer: -10624*m**3 - 3*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (6 - 1) + (-5 + 2 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1. Let o(d) = d - 16. Determine -o(y) + 2*s(y).\nAnswer: -y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 29*x**5\/4 - x**4\/4 + x**2 + 55*x - 2. What are the prime factors of t(2)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4}. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -45492 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/4*(-30)\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2 - 2)*(6 + 2 + 2)*(9 - 1 + 7)*(-4*v + 2*v + 3*v)*(-7 + 7 - v) + 0*v + 0*v + v**3.\nAnswer: -149*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19593723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*o + 147*o**3 - 289*o**3 + 140*o**3.\nAnswer: -2*o**3 - 64*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4 + 2555*i**3\/2 - 51089*i**2\/2 - 63322*i - 14214 = 0.\nAnswer: -2, -1\/4, 23, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.76? (a) -59852 (b) -1\/9 (c) -0.3 (d) -2\/7 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.79 times -524.4\nAnswer: -2511.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4788195 is divided by 65.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-484)\/32 - 12.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 12*r + 13. What is d(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - (1 - 7 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*z**4 - 6 + 5*z**4 + 41*z**4 + 56*z**2 + 5*z**4 as f*z**4 + q*z**2 + l*z**3 + t + p*z and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p - 2 - 4*p + 6*p + (1 - 8 - 1)*(0*p + 1 - p - 3).\nAnswer: 6*p + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-6*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4166707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11) + 2 + 4)**2.\nAnswer: 8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.91 - -0.09. Let v(z) = -2*z + 13. Let c be v(8). Let m = 2 + -7. What is the second biggest value in m, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -19. Let q = -14 - h. Let r = 15 + q. Calculate the greatest common divisor of 88 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.176 - 16.176. Let u = -21 - c. What is the closest to 1\/2 in -1\/4, u, -21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3, -7.\nAnswer: -7, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-3)\/(0 - -3). Let c(i) = 14*i - 11. Let h(s) = 22*s - 17. Let y(j) = -8*c(j) + 5*h(j). Determine y(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(176) + -1 + sqrt(176) + 1 + sqrt(176))*1 - (-1 + sqrt(176) + 1)*5)*3)**2.\nAnswer: 240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 11:55 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 + 0.04. Suppose -2*s = -7*s + 20. Which is the closest to 0.1? (a) w (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-2988)*3*((-1)\/(-2))\/1\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16.7536173 hours?\nAnswer: 0.0997239125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**6\/120 - u**5\/12 + u**4\/6 - 2*u**2 + 11*u. What is d(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4, -72 in descending order.\nAnswer: 4, 2, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13046042 + 3?\nAnswer: 13046045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/8 of a milligram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3455405377 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(204) - (-3*sqrt(204) - sqrt(204)))*4*5)\/(sqrt(12) + sqrt(96)\/sqrt(2) + (sqrt(48) - (sqrt(48) - sqrt(48)*3))\/sqrt(4)))**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-891)\/(-39) + 14\/91. Solve -w*h + 5*h = -36 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168548765 and 4235?\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-279 + 164 - 228)*(5*i - 5*i + 5*i + (-3*i - 2*i + 3*i)*(3 - 1 - 3)).\nAnswer: -2401*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 499895 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6*o. Suppose 0*b - 3*r = 3*b + 390, o = -5*b - 2*r - 650. Let n = 225 + b. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 3. Let j be t(2). Let o(l) = j*l - 10*l - l**3 - 4*l. Let m(r) = -r**3 - 5*r. Determine -5*m(b) + 3*o(b).\nAnswer: 2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/(-126))\/((-14)\/12))\/((-68)\/(-510))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12666 at least -139338\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14 - -0.16. What is the third biggest value in c, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 57387?\nAnswer: -1\/19129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3 - 2758*b**2 + 268*b**4 - 4*b**5 + 2*b**5 + 454*b**4 - 11*b**4 - 51*b**4 wrt b.\nAnswer: -120*b**2 + 15840*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/155520 and -29\/96228?\nAnswer: 15396480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -53*w - 58*w - w**2 + 167*w + 1 - w**3 - 57*w. Let t(j) = 7*j**3 + 9*j**2 + 9*j - 9. Give 4*t(d) + 36*u(d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5 - 5*g**2 + 0 - 9 - g**3 - 6*g. What is the lowest common multiple of 2 and k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 1. Let z be j(-1). What is the first derivative of -g**2 + z*g**2 - 6 + 1 wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 3. Let z be k(3). Solve z = 9*c - 13*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 1.43?\nAnswer: 22.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 6*b. Let z(p) = 6 + 2*p**2 + 11 - 17 + 5*p. Determine 5*u(h) + 6*z(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44384154.\nAnswer: 2, 3, 1583, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1145 - 145 = 250*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 4) to base 7.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d + 61999 + 59*d - 61999.\nAnswer: 49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 1\/3*p**4 + 3\/20*p**5 + 0 + p + 0*p**3 + 0*p**2. What is the third derivative of w(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43374272 to the power of 1\/2, to the nearest integer?\nAnswer: 6586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(2\/43)))\/((j*j**(3\/19)\/j)\/j)*((j\/(j**6*j))\/j)\/j**(17\/5) assuming j is positive.\nAnswer: j**(-38854\/4085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1027?\nAnswer: -2\/1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let d be j(3). Suppose -4*z = -9*z + d*n + 426, -252 = -3*z + 3*n. What is the remainder when z is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t - 74*t = 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*d + 3. Let l(s) = s**3 + 2*s**2 - 3*s + 3. Let x be l(d). What is the second biggest value in -1\/4, x, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365 + -365.227. Let p = z + 0.527. Let o(v) = -2*v**3 + 2*v**2 + 3*v - 2. Let l be o(2). Which is the smallest value? (a) l (b) 2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 281*k\/2 + 59136.\nAnswer: -(k - 512)*(k + 231)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2.4. Let q be 1\/3 - ((-14)\/(-6) - -2). Let y = 0.1 - 0. What is the closest to y in 0, q, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2405*u + 175. Let o be m(31). Round o to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44596, 89193, 133790, 178387, 222984?\nAnswer: 267581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -543289, 3, 0.\nAnswer: -543289, -7, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 8*w. Suppose w*r = r. Suppose -5*q + 15 + 0 = r. What is the greatest common divisor of 27 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 53868.03 millilitres?\nAnswer: 53.86803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 2*x = 4*m, 1 = -x. What is the common denominator of 45\/2 and m\/((-72)\/74*1 - -2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213 - 165. What is the first derivative of -29*t**4 + u + 33 - 22*t**4 wrt t?\nAnswer: -204*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 77 + 15 = 0. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1092 and 42?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 12 = 0, 2680*l - 2679*l + 1 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*v - 3*c + 26 - 38 + 27, -3*v - 90 = -4*v - 19*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 14 (c) -2\/23 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10341 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 2\/(-4)*6. Suppose -6*c + c - 10 = y. Let l(n) = 92*n**2 + 2. Let u be l(c). What is u rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*d - 5*a - 3, 0 = -a + 5. Let p be (-1 - (-3 - d))*1. Solve -3 - p = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**7\/5040 - b**6\/240 + b**5\/12 - 8*b**2. Let a(w) be the third derivative of x(w). Calculate a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 238133933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*s - 51, -9*v + 5*v + 5*s - 63 = 0. Let k be (-75)\/v - 3\/(-4). Suppose k*x - 630 = 2*x. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.039 (b) 6 (c) -5 (d) -0.2 (e) -50 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - a - 7. Let f(x) = -4*x**2 + 3*x + 19. Calculate -3*f(b) - 8*g(b).\nAnswer: -4*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 + 4. Let g = -25 - -7. Let d be g\/24 - (-34)\/(-8). What is the units digit of q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 704 (b) 6\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 20 = 4*f. Suppose -2*g - 3*v = -f - 1, 2*v = -2*g + 10. Differentiate g - 4 + 0 - b**4 wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 7*h**2 - 5*h - 4. Suppose -2*v + 14 = -2*k + 2, -16 = -5*v - 2*k. Let l be w(v). Suppose 4*j - 7*j = l. Do j and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Suppose 0*w = -5*w. Let t(l) be the third derivative of 0*l - 2*l**2 + 0*l**4 + 0*l**3 + w + 1\/60*l**5. Calculate a(t(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 13*s**2 + 2*s - 3. What is the remainder when w(13) is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.011 - -10.011. Let g = p - 11. Which is the nearest to g? (a) 3\/5 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1443326 (base 7) to base 9.\nAnswer: -327368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 251765 and 25198.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**7\/105 + y**6\/120 + y**3 - 7*y. Let b(d) be the second derivative of p(d). What is the third derivative of b(n) wrt n?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22913 and 35805?\nAnswer: 74581815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -426611*g**5 - 7*g**4*m - 3*g**2*m - 2*g**2 + 14*g*m + 10978*m wrt g?\nAnswer: -25596660*g**2 - 168*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 84887.\nAnswer: 848870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -108344280.\nAnswer: 7\/108344280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-3 - 3) + 4 + -7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 11555798*a. Let v(s) = -10*s**2. Calculate r(v(b)).\nAnswer: 100*b**4 + 115557980*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(21)\/sqrt(3))*4)**2 + (3*sqrt(63)*-5)**2.\nAnswer: -96*sqrt(7) + 14431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13\/(-2))\/(-13))\/(1\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2. Let n(d) = 244*d**2. Give g(n(s)).\nAnswer: -178608*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22594.04 + -22594. Let c = 0.5 + 0. What is the biggest value in m, -6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemmomssmmmqcsc. What is prob of sequence sq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 56888.055s?\nAnswer: 0.0940609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 1\/10, -0.3, -1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 448 = -4*s + 4*h, -4*s - 5*h + 448 = 0. Let m = 120 + 49. Let w = m - s. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*k**5 - 435*k**4 - k**3 - 338382*k**2 wrt k?\nAnswer: -4740*k**2 - 10440*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8225 divided by -1175?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1544, -6174, -13890, -24692, -38580?\n\"Answer: -1543*d**2 - d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 1990 = -8248. Is w a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h. Let d(o) = o**3 - 3*o**2 - 7*o + 5. Let k be d(4). Let g be (-2)\/k - (-2161)\/7. Let m(i) = -g + i + 309 + i. Calculate m(s(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9202\/3 + -3067. Which is the closest to r? (a) -7\/2 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**6)\/n**3)\/(n**3*(((n*n**(-2\/3))\/n)\/n)\/n))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 + -14?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -6.7. Let g = -3.7 - q. Let o = 870 + -869.9. Which is the second smallest value? (a) 2 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*3\/(-14). Let n = -4.02 - -0.02. Let w = 5 + n. Which is the nearest to w? (a) d (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 972 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvoh when four letters picked without replacement from hvtwvttttwfowttfwvot.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -50, -327, 174 in ascending order.\nAnswer: -327, -50, -4, 2, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162449157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = -2*c - a, 2*c - 6*a - 294 = -2*a. Let y(r) = -7*r**2 + 33*r**2 + 24*r**2. What is the remainder when c is divided by y(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + 4 + sqrt(26)\/sqrt(2) + -3.\nAnswer: sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 - 2)*(2*w + 3*w - 4*w) + 2 + 3*w - 2 + 2)*(3*w + 0*w - 6*w) to the form g*w + q*w**2 + m and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*x - 20 = 0, 4*s = 2*x - 40 - 2. Let h(u) = 2*u**2 + 17*u + 11. Let r be h(s). Factor -2\/9*f**4 + 2\/9*f**2 + 0*f**r + 0 + 0*f.\nAnswer: -2*f**2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 + 6*r + 2. Let j(x) be the first derivative of x**2\/2 + 15*x - 37. Let c be j(-6). Let o(y) = -11*y**2 - 13*y - 5. Calculate c*g(m) + 4*o(m).\nAnswer: m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -466 - -800. Suppose -14*c + 16 = -h. Solve -20*x + c*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 22*h + 6*h**2 - 5*h**2 + 0*h**2 - 14*h - 3. Let y = 1 + -20. Let u be 4\/(-38) + 112\/y. Give i(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 5. Suppose 3*o - b - 87 = 0, 4*b = -5*o + 2*b + 156. Suppose m = -4*m + o. What is the units digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -21 + (10\/(-6) - -2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(38)\/sqrt(2))**2 + (-5 + (sqrt(76) + sqrt(19))**2 - sqrt(19)) + -3 + (sqrt(684)*4*6)**2.\nAnswer: -sqrt(19) + 394133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 + 492 = -321*v - 623 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z + 70. Suppose 0*m = -4*a + 2*m + 2, 3*m = -3. Suppose a = 4*f + 2*o - 220, -5*f - o - o = -273. What is the remainder when f is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3303 - -20242?\nAnswer: 11434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*f + 444 = -468 + 280 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25139 - -61182. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k = -4*x + 38, x = 5*k - 5076 + 5085 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**6\/180 + 49*b**3\/6 - 46*b. Let t(a) be the second derivative of u(a). Let z(f) = -2*f + 1. What is t(z(r))?\nAnswer: 8*r**2 - 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/9)\/t)\/t**(1\/19))**(1\/3)*(t**(1\/2)*t)**(-30)*(t*t**(-4\/3))\/((t**4\/t)\/t) assuming t is positive.\nAnswer: t**(-24538\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, s: 6, q: 2, h: 4}. Give prob of sequence hw.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3 - 9 + 0)*(5*f**3 + 0*f**3 - 3*f**3).\nAnswer: 4*f**4 - 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -90.8 and 772?\nAnswer: -70097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/6 - 390*j**2 + 30287*j\/6 - 13962 = 0. What is j?\nAnswer: 4, 9, 2327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - w**2)*(180*w**2 - 260*w**2 - 384*w**2 - 245*w**2).\nAnswer: 709*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 53. Suppose -4*a - 2*j + 12 = r, 2 = -6*a + 2*a + 5*j. What is the greatest common divisor of a and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105774599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 10:23 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3376715 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 6\/(-2) - -3. Let o(i) = -i**2 + 2*i + 12. Let s be o(0). Suppose 17*r - s = 11*r. Solve -3 = -g*q + r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3008 greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/245)\/(4\/(-12))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 34. Put r, -30, -2\/3 in ascending order.\nAnswer: -30, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 61*z**5\/60 + z**4\/24 - 13*z**2 + 4*z. Let p(i) = 11*i. Give p(l(j)).\nAnswer: 671*j**2 + 11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 - 113. Factor -8 + 4*q - 3*q**b - 15*q**2 - 4 - 28*q.\nAnswer: -3*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 32 = 3*m + 36 - 8, -g = -4*m - 24 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 172, 233, 294, 355, 416, 477?\n\"Answer: 61*i + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*b - 279576 + 51327. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1 (b) 2 (c) -2\/17 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 0.02066, 102 in increasing order.\nAnswer: 0.02066, 5, 6, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6991557 minutes to nanoseconds.\nAnswer: 41949342000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -595 plus 11?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2598, -2606, -2614, -2622, -2630, -2638?\nAnswer: -2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2*g - 3. Suppose -13*w + 19 + 20 = 0. Let p be r(w). Solve p = -j - 4*y - 11, 11 = -6*j + 2*j - 5*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Solve -16*n + 8*n + 9*t + 3 = -6*n, -4*t + 12 = -2*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 2 - 14 - 2*s - 5. Let y be k(7). Let i = 26 + y. Solve 5*b + 9 + 1 = -3*v, 0 = b - 3*v - i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -102087.\nAnswer: -102085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.8 + 13. Let t = 1.5 - o. Is t at least 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + i - 5*i)*(-2*i**3 + 5*i**2 - 5*i**2) - i**3 + i**3 + 6*i**4 + i**4 + 2*i**4 - i**4 + (-i**2 + 2*i**2 + 2*i**2)*(5 + i**2 - 5).\nAnswer: 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3065 from -29875.\nAnswer: -26810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -848 and -0.082 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (4 - (-4 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4562950?\nAnswer: 2, 5, 7, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/28, 2\/5, -3, 14, -1, -841 in decreasing order.\nAnswer: 14, 2\/5, 1\/28, -1, -3, -841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by 991.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 7 + 3*l**2 + 3*l**2 + 94898*l.\nAnswer: 4*l**2 + 94898*l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152004 (base 7) in base 11?\nAnswer: -a0614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4732, 9462, 14192, 18922?\nAnswer: 23652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 295, 590, 885, 1180?\n\"Answer: 295*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -25*k**2\/2 - 16. What is the tens digit of u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2175800 divided by -946?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3006 is divided by 784.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/(-12) + ((-11)\/3)\/(-11). Let q(o) = 24*o**3 - 9*o**2 - 9*o + 9. Let w(n) = -12*n**3 + 5*n**2 + 5*n - 5. Give d*q(b) + 9*w(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*g - 10, -5*g - 3 = k - 19. Sort -1, 4, g in ascending order.\nAnswer: -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*30\/(-4)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1014011*x**3 + 1013993*x**3 + 11*x - 11*x.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 33*f**2 - 5*f. Let r(i) = 3*i - 5. Let n(j) = -4*j + 6. Let a(m) = 5*n(m) + 6*r(m). Determine c(a(y)).\nAnswer: 132*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose w + 3*a + 1 = d, 0*a = -4*w - 5*a + 10. Let k = 302 + -303. Sort w, k, 15 in ascending order.\nAnswer: k, w, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48072735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 5\/24*k**4 + 0 - 1\/60*k**5 + 0*k + 1\/6*k**3 + 10*k**2. Suppose 5*c + 2*y = -19 + 51, 0 = 3*c + 3*y - 21. Calculate j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1022\/(-28798)*-11 + ((-57)\/(-76))\/((-22)\/8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(17\/204).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 300963176*l**4 + 1109592637*l**2?\nAnswer: 7223116224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7334.65341 seconds?\nAnswer: 0.012127403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*b + 492. Let p be (2\/(-6))\/((-2)\/b). Let h = p - 232\/5. Calculate the common denominator of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*h + 148*h - 4731 = 0 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -36 + -25 + (-18 - -83).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69678 and 456?\nAnswer: 5295528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-24 - -70) + -23) - (-19 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, d: 1}. Give prob of picking 1 d and 2 w.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:42 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*f**2 - 57*f**2 + 43*f**2)*(-2 - 1 + 2).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f**3 - 105*f**2 + 172*f - 34. What is c(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(128) - (sqrt(128) + -2)) + sqrt(16)\/sqrt(2).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 328 - 330 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 17*c - 22427 + 22426 + 783*c**2)*(-2*c + 3*c - 2*c).\nAnswer: -783*c**3 + 18*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 50 = -2*w, 2*w - 3*z = z - 26. Let p = w - -30. What is the smallest common multiple of (12 + 0)\/((-96)\/(-64)) and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 18*o**2 + o + 7. Let d be b(-14). Let y = d + -433. Is 43 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306179\/475 or 646?\nAnswer: 306179\/475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 566.5162 millennia in centuries?\nAnswer: 5665.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y. Let v be m(-1). Let k be (-4 + (-10438)\/85)\/((-2)\/(-5)). What is the units digit of (v - k)*(-1 + 4)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 4, -4, -0.2, 817, 0.5, 38 in descending order.\nAnswer: 817, 38, 4, 0.5, 3\/8, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 18. What is the remainder when 15 is divided by (-234)\/(-30) - (-2)\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.646983 millilitres in litres?\nAnswer: 0.008646983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12*-776\nAnswer: -9312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.49963 + 4.5. What is g rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 45 = 2*n - p - 3, 3*p - 3444 = -150*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0959 - 0.4959. Which is the second biggest value? (a) p (b) -22 (c) -3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 371*a*f**2 - 19*a*f*n**2 + 6*a*n**2 + 3*a*n - 2*f**2*n**2 - 7*n**2 with respect to f.\nAnswer: 742*a*f - 19*a*n**2 - 4*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -415 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 300901279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/3 and 19\/2268.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/6 + 13\/12. Factor 1\/4*j**2 + z - 1\/2*j.\nAnswer: (j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 - 1661\/13. Let d = 156 + -155.9. Which is the nearest to d? (a) g (b) -2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 6159\nAnswer: 6176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v + 4. Let q(g) = -1. Calculate 2*q(d) + t(d).\nAnswer: 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t + 8. Give b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6 + 4*q + 6. Let r(g) = 7*g - g**2 - 7*g. Calculate x(r(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 21\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -19*s - 2. Let p(h) = 2*h**3 - 83*h**2 - 38*h - 171. Let u be p(42). Let z(a) = -37*a - 4. Give u*z(o) + 7*w(o).\nAnswer: -22*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/(0 + 5\/(-10)). Is g*(10094\/6)\/7 + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 + 13182*w**2 - 131487*w - 144672 = 0 for w.\nAnswer: -1, 11, 4384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 3 (b) 1\/3 (c) 0 (d) -27 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 t when three letters picked without replacement from iaiuiaiatt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.059875. Let a = n - -0.06. What is a rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.077, 2 in ascending order.\nAnswer: -3, 0.077, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from ggccgcgggcgcccggccg?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(-1*sqrt(2)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4634144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29\/53 + 1967\/689. Let v(t) = -t**3 + 4*t**2 + t - 1. Let n be v(4). Which is greater: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-27)*-6*(-6)\/(-14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nktno. Give prob of sequence nto.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. Suppose 28 = -3*m + m - 5*n, 28 = -o*m - 4*n. Suppose -a = -5*a + 4. Sort 4, a, m in decreasing order.\nAnswer: 4, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/912 and 13\/285.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 5440 + 1770. List the prime factors of t.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240691462.6 rounded to the nearest 10000?\nAnswer: -240690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 88. Let g = 191 - 127. What is the remainder when g is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388.9848 millennia to centuries.\nAnswer: 3889.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*c**3*f*x - c**3*x**2 + c**2*f*x**3 - 5*c**2*f - 291*f*x**2 wrt x?\nAnswer: -2*c**3 + 6*c**2*f*x - 582*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 1, -20487 in increasing order.\nAnswer: -20487, -60, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -9 - -47) + -3 + (-2 - (-15 - -12)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 0)*1 - -8. Let q(k) = k**3 - 5*k**2 + 5*k + 21. What is the remainder when q(b) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = -3*z. Suppose -2*q = 4 + 40. Let j be ((-4)\/(-6))\/(q\/(-33)). Solve -m = 4*r - 18, -2*r = -3*m - j - z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150953812 divided by 38284\nAnswer: -3943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 2*q + 24 - 2*q**2 + 3*q + 17*q.\nAnswer: -2*(q - 12)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.63.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 425969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 931320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 9*n + 9. Let z be (-4)\/(-4 - -8) - (5 - -2). Give g(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/12 - q**3\/6 + q**2\/2 + 166*q. Let s(p) = p - 2*p**2 + 736 + 2*p - 733. Give b(j) + s(j).\nAnswer: -j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*f = 61, 34*x - 56*x + 26*x + 64 = 10*f for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 9, -426, -2?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5026*f + 72933 + 237698 + 146735 = 0 for f.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382841 is divided by 31903.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + 0 + sqrt(2736) + -2 + (6*(sqrt(608) + sqrt(38)) - sqrt(38))\/((sqrt(16) + sqrt(48)\/sqrt(3) + sqrt(16))\/sqrt(8)))**2.\nAnswer: -260*sqrt(19) + 80599\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1167056?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 755658, 755894, 756126, 756354, 756578, 756798?\n\"Answer: -2*i**2 + 242*i + 755418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -49*o**3 + 260*o**2 - 45*o + 13. Determine s(5).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -12. Let r be (6\/9)\/(1\/3). Suppose t = 5*x - d, -r*d + 1 = -3*x + 2*x. Calculate the highest common factor of 56 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -840 - -840.0427. Let y = j + -0.044. Round y to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-6*sqrt(125) - sqrt(5)))**2*5.\nAnswer: -620*sqrt(5) + 24045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wopowwwwwwwwwwwwwwwo. Give prob of sequence pw.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82675228.\nAnswer: 2, 997, 20731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 5*k + 22*k)*(-2*k - 153 - 54 + 109).\nAnswer: -48*k**2 - 2352*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000416074 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22707\/8 or -2837?\nAnswer: -22707\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 63.3. Let k = 0.7 + t. Let d = -6 + 1. What is the second smallest value in d, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -63. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 10*m + 4. Let k be z(4). Suppose -4 = -s + 1. Suppose 3*t - k = -3*r, -s*t - 5*r = -t - 12. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3123 (base 4) to base 5\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and -0.12.\nAnswer: -5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10835 and 73117535?\nAnswer: 804292885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-3 - 1) - (5 + -16 + 22)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3 = 15*v, -34*v = -4*a - 36*v - 26 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/138 - -1\/69. Which is greater: j or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133, 443, 951, 1651, 2537, 3603?\n\"Answer: -x**3 + 105*x**2 + 2*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 - 131.8. Which is the second biggest value? (a) 2\/5 (b) -1 (c) 3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let b(k) = 3*k + 2. Let s = -2 + 4. Let n be (1\/s)\/(5\/10). What is n*b(m) + 4*a(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 + 2*l**2 - 2*l - 3. Let f = 30 + -34. What is the tens digit of b(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91\/6 - 15. What is the smallest value in h, 0, -4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2. Let z(q) = -8*q. Let y(x) = -x. Let j(m) = -48*y(m) + 4*z(m). Let k(a) = 5*a. Let u(w) = 2*j(w) - 7*k(w). Calculate g(u(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/5)*i**15\/i*i*i*(i**(-2\/5))**(-19\/5) assuming i is positive.\nAnswer: i**(428\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:29 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/5 and 91\/18530.\nAnswer: 18530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 330983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*g - 228*g + 5*x - 42 = -452*g, 5*x = 8*g + 231 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2\/r**(-7)*r**6*r*r**2 assuming r is positive.\nAnswer: r**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/3*(12\/8 + -3). Suppose q + 36 = l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456892 to the power of 1\/2, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 3214242.\nAnswer: 6428484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = -7. Let a(o) = -o**3 + 12*o**2 - 11*o - 15. Let t be a(11). Let f be (-9)\/t*10\/2. Solve -f*m = -4*c + 14, -3*c + r = -3*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1048165, 2096300, 3144439, 4192582, 5240729, 6288880, 7337035?\nAnswer: 8385194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 - 2*g - 2. Suppose -w = 3*f - 55 + 33, -4*w = -3*f - 28. Let y(b) = 6*b**2 - 5*b + 6*b**2 - 1 - 4 + 3*b**2. What is f*y(i) - 10*v(i)?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + n - 4 = h, -n + 25 = 4*h. Let u(o) = -6*o**2 - 7. Let r(w) = 3*w**2 + 3. Let l = 2979 + -2976. Determine h*r(y) + l*u(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 5*v**2 + 9*v - 8. Calculate z(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 234664597 to the power of 1\/2, to the nearest integer?\nAnswer: 15319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53764, 53803, 53840, 53875?\nAnswer: 53908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 3, 183 in ascending order.\nAnswer: 2, 3, 5, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -17*v - 6. Let n(x) = -9*x - 3. Let u(j) = 4*m(j) - 7*n(j). What is the remainder when 12 is divided by u(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 + 5*n**2 + 982*n + 10 - 970*n. Determine d(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from {v: 2, z: 3, w: 6, l: 1, m: 2, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = 289 + 481. Let b be (-2)\/o + ((-18)\/30 - -1). Suppose 3\/7*c**4 - 12\/7*c**3 + 18\/7*c**2 + b - 12\/7*c = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 5*f + 35. Let u(n) be the second derivative of n**3\/6 + n**2\/2 - 134*n. Determine u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + y**3 + 1)*(2 - 3 - y + 0)*(-3255 - 2806 + 8278)*(1 + 1 + 0).\nAnswer: -4434*y**4 - 4434*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 772, 1598, 2472, 3394, 4364?\n\"Answer: 24*o**2 + 754*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*((-t - 1 + 1)*(3 + 1 - 1) + 5*t + 3*t + 0*t) as q + i*t and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/12 - 13*c**3\/6 + 8*c**2 + 3*c. Let b be s(12). Solve -7 = d - b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/100 and -15\/32?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43763610 divided by -1595.\nAnswer: 27438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*q**2 - 55*q**2 - 7*q**2.\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 5, y: 1, i: 10, z: 2, x: 1}. Give prob of picking 2 z.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -41*b**2 + 36 - 1\/3*b**3 - 5*b**4 + 0*b. Find the second derivative of o(g) wrt g.\nAnswer: -120*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/2)\/(54\/(-108))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/(-22) - -61*(-3)\/21?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(8\/5))**(-8)\/((r\/r**(-2\/27))\/(r\/(r\/r**(-1\/27)))) assuming r is positive.\nAnswer: r**(-986\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -152163184 divided by 4\nAnswer: -38040796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*b - 30, b + 4*b - 14 = u. Let z be 0 + -1*(0 - 1). Let m be 17*z + -4 + 5. What is the highest common factor of m and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 - 245*z**2 + 245*z**2.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + c - 18, 344*v - 347*v - 4*c + 21 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**3 - 4*c**2 + 2*c**2 - 2*c**3 + 0*c**2.\nAnswer: 11*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40\/91 - 2\/13. Suppose -288 = -13*j + 31*j. Let y be 8\/j + (-4 - (-150)\/36). What is the third smallest value in y, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18395, 18556, 18717, 18878?\nAnswer: 19039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1458*m**5 - 27314658*m**4\/5 - 3644892*m**3\/5 + 2104472*m**2 - 2937712*m\/5 + 239808\/5 = 0 for m.\nAnswer: -4\/5, 2\/9, 3747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {m: 2, y: 1, c: 3, i: 3, f: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - w - 18 = 0, w + 0*w = -2*f - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -11.5. Which is the smallest value? (a) -4\/5 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 25. Let b = 18 + m. Calculate the remainder when b is divided by 10 + (-2 - (8 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89697*x + 28333*x + 14996*x + 59418*x.\nAnswer: 192444*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2093*t**2 - 6*t + 0*t + 8*t.\nAnswer: -2093*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -0.2, 3, 2\/3, 45.3 in decreasing order.\nAnswer: 45.3, 3, 2\/3, -0.2, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507 and 4182282.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6292*h**3 - 205397*h**2 + 205397*h**2.\nAnswer: 6292*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 322 - 181. Let q = -243 + 134. Let p = q + i. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111983305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491, 491, 507, 551, 635, 771, 971, 1247?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p + 0*p + p**2 - 123*p**6 - 15*p**2 + 2*p wrt p.\nAnswer: -14760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 5) in base 2?\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1307 = -5*v + 4*v, 5*v - 2649 = 4*c. Let y = c + 1798. List the prime factors of y.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**5 - 2*s**3 + 79*s**2 - 3158*s.\nAnswer: -20*s**3 - 12*s + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Let s(n) = 13*n + 3222615. Calculate s(y(i)).\nAnswer: 13*i**2 + 3222615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3685*i**2 + 750 + 3680*i**2 - 750.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -194842, -390346, -585850, -781354, -976858?\n\"Answer: -195504*f + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 955257201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 4*w - 4. Let m be n(-4). Let t be (-1)\/m - 186\/8. What are the prime factors of (t\/2)\/(5\/(-10))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47568 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 0*l + 38 = 2*u + 2*l, 3*u = 2*l + 57. Solve -5*c + 5*o + 5 = 0, -2*c + c + u = 5*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -6*o**2 - 23*o + 119. Suppose -31 = -5*l - 11, -2*n - 8 = 4*l. Is b(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:36 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 44 - 441*j - 1\/27*j**3 - 7*j**2. Factor x(n).\nAnswer: -(n + 63)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2))\/(3\/4). Let x be -2 + (2 - 0\/1). Let j = 71 + -65. Solve s*n = -x + j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 10*p - 11*p. Let f be (-10)\/p*22\/55. Solve -3*v - f + 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17515?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 83730681?\nAnswer: 83730678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1740137 or -1740136?\nAnswer: -1740137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-530 + 526 - j**2 - 2*j**2)*(0*j - 2*j + 3*j) to k*j**3 + d + i*j**2 + m*j and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.50000167 - -15.5. Round r to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and 105376?\nAnswer: 105376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 divided by 221?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/60 and -83\/16230.\nAnswer: 32460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -229 + 48*u + 286 - 213 as c*u + f and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/9 + 6*t**4 - 220*t**3\/9 - 580*t**2\/3 + 238*t + 1254 = 0.\nAnswer: -3, 3, 11, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -320\/7 equal to -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {q: 4, i: 7, p: 4, z: 1, a: 1, m: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 24389799.\nAnswer: 24389799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 4*b**2 + b + 33. Calculate y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 132 in increasing order.\nAnswer: -4, -1, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 939 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: Calculate 4\/(-14) + (-4953)\/4445.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(320) + sqrt(20) + sqrt(20))\/sqrt(10))**2 - sqrt(2))*6 - (-1 + 1 + (5 + sqrt(2))*-1).\nAnswer: -5*sqrt(2) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -52, -141, -274, -457, -696, -997?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**4\/4 + 5*w**3\/6 - 7*w**2. Is j(4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3822*x**2 - 3799*x**2 + 15199*x**2 - 3797*x**2 - 3786*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2\/36)*(-48)\/(-6)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, e: 3, s: 6, y: 5}. What is prob of sequence ys?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 71*b**3 + 28*b**2 - 10*b + 87. What are the prime factors of n(8)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/(-7*6\/(-63)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*r - 205 = -k, -175 = -5*k + 2*r. Let f = k - 21. Suppose -200 = -5*a - 0*a. Calculate the highest common factor of f and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35 + -111290?\nAnswer: -1112c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5 - 1) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1057 or -1055?\nAnswer: -1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309595 and 3861.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 99.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5994 and 114501384?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 275.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -175889.\nAnswer: -17588.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 4:39 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 260258\/21 - 36437\/3. Suppose 0 = 5*u - 3*j + 1246, u + 7*j = 3*j - 240. Let l = s + u. Which is the third smallest value? (a) 0.3 (b) 1\/12 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -27*f**7\/35 - 36*f**6\/5 - 144*f**5\/5 - 64*f**4 - 256*f**3\/3 + f**2. Factor v(w).\nAnswer: -2*(3*w + 4)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 7*d - 53. Let n(u) = 2*u**2 + 3*u + 25. What is -5*n(i) - 2*y(i)?\nAnswer: -4*i**2 - i - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 736 - 736 - 52*p + (-3*p + p + 4*p + (-1 - 4 + 3)*(-2*p + 2 - 2))*(-2 + 1 - 1) as u*p + m and give u.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 44*a - 1. Let y(u) = 116*u - 2. Let t(m) = 8*s(m) - 3*y(m). Suppose -j + 5*f - 19 = f, -4*j + 3*f = 11. Suppose -j - 3 = -2*n. Give t(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451057.649 rounded to the nearest one thousand?\nAnswer: 451000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d - 33*d**3 + 11*d**3 + 11*d**3 - 3*d**3 in the form b*d + y*d**3 + q + s*d**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q**14)*q)*q*q*(q*q**7*q)\/q*q\/(q\/((q**(-2\/51)\/q*q)\/q))*q**(-8) assuming q is positive.\nAnswer: q**(763\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 2*z - 3. What is y(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279990 and 680?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - a - 11 = -5, -15 = -2*t - 3*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by 1.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-18)*(-3)\/(-24).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*r - 15. Suppose -10 = -r*d + 22. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-29)))**(-1\/40) assuming k is positive.\nAnswer: k**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.59 + 28.59. What is the nearest to h in 1, -3, -36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 262*v**4 - 2*v - 124*v**2 + 265*v**4 as p*v**2 + z*v**3 + h + n*v + j*v**4 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i + 3*g = -5, -3*g - 30 = -3*i. Let c be (-11)\/(-2) - (-5)\/10. Solve 4*a = 1 - i, 0 = 2*q - 2*a + c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.36 and 6.3?\nAnswer: 2.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2960.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 78*n**2 + 3160*n + 7*n**2 + 69*n**2)*(0*n**2 - 2*n**2 - n**2) in the form o*n + a + c*n**2 + p*n**4 + l*n**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 113, 149, 229, 371, 593, 913, 1349?\nAnswer: 1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f + 6 = 33*f, 0 = 4*s + 4*f - 4236. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, t: 5}. What is prob of sequence vvt?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30608 (base 12) to base 2\nAnswer: 1111011001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -399.76 + -3.24. Let x = -364.7 - u. Let l = x - 38. Is l smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 - 7 - (-129 - -121)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*(-2)\/(-4))\/1. Suppose 932 = 4*m + 5*d, d + 1 - 5 = k. Let s = m + -159. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 266, 1024, 2286, 4052?\n\"Answer: 252*z**2 + 2*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -108*l - 77 + 6. Let m(g) = -64*g**2 + 1. What is m(l)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*c - 350 = 0, 2*f + 4*c - 144 = 5*c. Let m(h) = h**2 + 94*h + 922. What is the remainder when f is divided by m(-83)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481407 (base 10) in base 6?\nAnswer: 14152423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -225a6 (base 14) to base 8\nAnswer: -242766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 30 = 5*a, -5*a - b = -5*b - 28. Suppose 5*k - 675 = s - 247, 0 = -a*s - 12. What are the prime factors of k?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 0, 4*l + 3*z + 7 = 2. Solve y + l = -0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -259, -262, -263, -262?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 184\/24)*((-27)\/(-12) + -3). Which is the fourth smallest value? (a) -2\/3 (b) 0 (c) -2.4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151570 and 144210?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**2 - a + 1. Determine o(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 4. Let h(y) = y. Let o(u) = -2*h(u) - 2*t(u). Calculate the lowest common multiple of 18 and o(6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -8. Let k be 46\/(-6) - 4\/o. Let c(j) = j**2 + 6*j + 1. Is c(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7214473.\nAnswer: 7, 1030639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 29 + -13 + -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/2)\/(k**(2\/13)*k))\/(k\/(((k\/(k*k\/(k\/(k**(2\/5)*k))*k))\/k)\/k)*k**(-1\/7))*(k**(-1\/2)\/k*k)**22\/(k\/(k\/(k\/k**(-1\/3))))**(-22) assuming k is positive.\nAnswer: k**(25723\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 131, 226, 339, 476, 643, 846?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 4*n + 1. Let p be z(-5). Let h = -2 - p. Suppose -5*d = -25, 1 = -2*j + h*d + 91. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*k - 4*s + 5864, 5*k + 4*s - 7328 = 0. Let c = -835 + k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - u - 32*u**2 + 50*u**2 + 3*u - 14*u**2 - 2*u**3 to the form g*u**3 + r*u + q*u**2 + k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**4\/26 - 6*t**3\/13 - 15*t**2\/13 - 14*t\/13 + 48. What is h in g(h) = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0*v**3 + 18*v**2 + 1\/150*v**6 + 0*v**5 + 0*v + 0 - 1\/30*v**4. Let f(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1534363 and 73356.\nAnswer: 18412356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*u + 26 - 6, -s + 4*u = 17. Let w = 19 + s. Suppose 0 = 3*y + 5*i - 30, 4*y - w = 5*i + 61. List 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 the remainder when 285 is divided by 271?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*u + 1350 = 0, 0*d + 5*u = 4*d - 1796. What are the prime factors of d?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.87753 micrometers?\nAnswer: 3877.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -0.2 (b) 0.3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.5 (b) -5 (c) 2850\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)\/(sqrt(22)\/sqrt(2)))\/sqrt(3) - (1 + sqrt(121)\/(2*sqrt(11))).\nAnswer: -1 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*k**3 - 50*k**3 + 93*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2248*g = 1119*g + 1020*g + 5014 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + p - 60. Let d be u(0). Let w be 25\/d - (-1)\/(-4). Let x(i) = i**2 + 8*i + 7. Let m be x(-7). What is the nearest to 0 in 4, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0*c - c + 10 - 2*c + 5*c. Let t be z(-3). Suppose 4*w = -t*f - w + 274, 0 = 5*f + w - 332. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -2 - (1 - -45). Suppose 2*a - 5*j - 63 = 45, 2 = j. Let d = o + a. What is the remainder when 52 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14231380 to the power of 1\/2, to the nearest integer?\nAnswer: 3772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -534 divided by 1\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*2\/(-5))\/(49\/17640*-54).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 - 12524198*k\/9 - 4174732\/3.\nAnswer: -2*(k + 1)*(k + 6262098)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11011100?\nAnswer: 11010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 633 and 6.\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9468 + -9210. Calculate the remainder when z is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*f + 28 = 0. Sort -33, 3, f, -2 in decreasing order.\nAnswer: 3, -2, f, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.022 and 6?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376303 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.6 - -24.2. Which is the smallest value? (a) -7 (b) n (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5796 by -6.\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1252 + 8*t + 1252.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*y - 160 = 131 - 25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1988, -6303, -12946, -21917, -33216, -46843?\nAnswer: -62798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**5 + 63*b**4 - 273*b**3 - 27*b**2 + 1032*b + 720 = 0.\nAnswer: -1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 - t**4\/24 - t**3 + 4*t**2 - 24. Give k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 42. What is the greatest common factor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*2*14\/(-28). Solve 2 = 4*i - b, 4*b - 6*b + 6 = w*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 45*c**2 - 314*c + 2. Give u(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236283 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 7*m + 17. Let n be o(9). Let u(j) = 3*j + 3. Let c be u(n). Suppose c = 4*z + p - 21, 2*z + 17 = 5*z + 2*p. Solve -z*l - 39 = -14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6146 and 50500?\nAnswer: 155186500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 0)\/(3*1). Let f = -86.99 - -86. Let k = f - 0.01. What is the closest to 0 in m, 5, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6713904mg in kilograms?\nAnswer: 0.0000006713904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 12:45 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 1, k: 6, m: 2, p: 4, x: 1}. Give prob of sequence pp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(10\/7)*d)\/d**9 assuming d is positive.\nAnswer: d**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2674 and 131\/953472.\nAnswer: 6674304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 87*x - 8702. Calculate h(114).\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/60 + r**4\/24 + r**2 - 192*r. What is a(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -4530?\nAnswer: 4525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b - 33. Determine c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003897873 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i\/((i**(-2\/23)*i)\/i)))*i*i**(-25))\/(i*i**(-1\/17)*i*i**(1\/5)) assuming i is positive.\nAnswer: i**(-50936\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354610.\nAnswer: 2, 5, 35461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 9*u. Suppose -54 = -3*s + 2*m, -4*s + u*m + 4*m + 68 = 0. Let f be 481*s*(16 - -4)*250. Round f to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15666068*q**3 - 16802340.\nAnswer: 46998204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - 104655?\nAnswer: -104623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*(-12)\/(-165))\/((4\/5)\/((-10)\/(-5)))?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 3. What is the remainder when u is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 21660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 - (0 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnwk when four letters picked without replacement from {k: 2, g: 2, w: 1, n: 2, c: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 83.58024 nanometers?\nAnswer: 0.00008358024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*72\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/15*g**4 + 0 + 0*g + 153760\/3*g**2 - 496\/3*g**3 = 0 for g.\nAnswer: 0, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-6) + -1)*(58 + -54). Find r, given that 4\/5*r - 3\/5 - 1\/5*r**s = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, r: 7, f: 2, w: 4}. Give prob of sequence wf.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2. Let u(a) = 1551*a**2 + 55. Let x(b) = 57*b**2 + 2. Let o(f) = -2*u(f) + 55*x(f). Calculate y(o(j)).\nAnswer: -1089*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 53056150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2 + 2*d - 5. Let w be j(3). Let y = -62 + w. Solve 6*o = 4*o - y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 5*k**3 - k**3 - 3*k**3 - 2*k**3 - k**3 + (3*k**2 - 3*k**2 - 2*k**2)*(k + 3*k - 3*k) + 5*k**3 - 20*k**3 + 4*k**3.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (761985\/(-2009))\/59*70\/(-6).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + w - 5*a - 64, 2*w - 136 = 2*a. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11754653 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 14. Let w be z(-8). Let i(c) = -2*c + 15. Let h be i(w). Let a be -2 + 24\/9 + 10\/h. Calculate the highest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1556 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l + 2. Let h(q) = q**3 + 4*q**2 + q + 1. Let y be h(l). Let z(g) = g**3 + 7*g**2 - 4. What is the tens digit of z(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 17 = 13. Solve 0 = m - 2*m + t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*j = -134044, -4*v - 2*j - 15367 + 82385 = 0. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07643 * 554.1.\nAnswer: 42.349863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1595 + 0.1595. Which is the nearest to -0.02? (a) -0.2 (b) n (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 12 (b) -1\/8 (c) -286 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 95*r + 5858. Determine k(-62).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8395467837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/((c*c\/(c\/(c*c**(-8\/9))))\/c))\/c))\/(c*c\/(c**(-9)*c)*c))\/(c**(-32)*c*c*(c**(-4\/37)*c)\/c) assuming c is positive.\nAnswer: c**(6733\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*c**3 - 944*c + c**3 + 9*c**4 + 83*c**2 + 945*c - 14*c**2 as w*c**2 + b*c + h + i*c**3 + d*c**4 and give w.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10974958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4*8\/12)\/(146\/(-584)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f = 0. Suppose 0*x + 3*x - 291 = f. Let o = x + -45. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/3 + b**2\/2 + b + 8. Let n be h(2). Let s(m) = m**2 - m - 1. Let i(u) = 5*u**2 - 5*u - 3. Determine n*i(l) + 4*s(l).\nAnswer: -l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**8\/588 - 11*t**6\/210 - 6*t**5\/35 - 4*t**4\/21 - 256*t**2. Solve c(k) = 0 for k.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-144))\/(2\/12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -1. Suppose -2*h = 3*v + b + 1, 40 = -5*v + 4*h. Which is bigger: v or -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Let u be (j + 2)*(-3)\/(-6). Solve 0 = -u*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -27508*o**3 - o. Suppose 5*i = -4*s + 2*s + 13, 15 = -i + 4*s. Let l be h(i). Let r = l + 717509. What is r rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/4 and -85\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -7 - -6) + (3 - (4 + 4))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 173*z + 1379. Calculate a(-14).\nAnswer: -1043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-712)\/89 + 204\/(-119)*14\/(-3) - 28.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 7883358.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, l: 1, r: 2, y: 3, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + u + 1)*(-27 + 27 - 12*u).\nAnswer: -12*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 2. Differentiate -12 - 5 + 22*s**o + 5 - 2*s**3 with respect to s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 10\/13, 83, -10, -2.7?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -451 + 2?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a year in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 37 - 83 + 7 - a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 5*h - 3*h = 0. Solve h = 5*l - 2*s + 11, 3*l = l - 4*s - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 22*s + 40 = 17*s, -5*o + s + 50 = 0. Which is greater: 17 or o?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 41*k - 2. Let q be x(1). Let g = q + 141. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189429892 to the power of 1\/2, to the nearest integer?\nAnswer: 13763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w + 2*w - 3*w)*(-w - w**2 + w) + w**3 - w**2 + w**2 + (15*w**3 + 11*w**3 + 53*w**3)*(5 - 4 - 3) - 4*w + 4*w - w**3.\nAnswer: -170*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111 or 108?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 9) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -35*q**3 - 7*q**2 - 13*q - 6. Let x(h) = -34*h**3 - 6*h**2 - 11*h - 5. Determine 5*r(t) - 6*x(t).\nAnswer: 29*t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/48)\/((-9)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (4809\/(-12))\/1. Let s = z - 384. Calculate the common denominator of -19\/9 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -19 + 18 - (-10)\/(3 - 2). Let d(r) = w - 3 - 3*r - 6. Let j(b) = -39*b. Let o(a) = -a + 1. Let i be o(3). Give i*j(k) + 27*d(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Sort 3, -1, 2\/9, q.\nAnswer: q, -1, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 13*-1*(2 + -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -2 (c) 3\/128 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 405\/1350 + ((-25)\/50)\/((-1)\/(-15))\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:45 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 5*w - 4*x + 132, -13*w - 13*x - 113 = -11*w for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153376600 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -4, -5, 3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -65*k**3 - 6*k**2 + 417*k + 840. Determine m(-2).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -2\/105*m**7 + 0*m**5 + 0*m**6 - 17*m**2 + 0*m + 7\/8*m**4 + 0 + 0*m**3. Find the second derivative of q(n) wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 37*z**2 + 49*z**2 - 23*z**2 - z.\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -20, -65, -154, -299, -512, -805?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*h - 194, -2*h + 15 = h. Let p be -1*((-1)\/2)\/(1\/2). Put d, -3, p in increasing order.\nAnswer: d, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-236)\/(-118)*(-2)\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 135 - 23 = 0. Let j = p - -28. Suppose r + j*r = 84. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*45\/(9000\/(-32))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.750783 rounded to zero decimal places?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbwb when four letters picked without replacement from bnbwn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i. Suppose -f + 2 = f. Let m be d(f). Suppose -5*c - 4*l = -17, m*c - l = 1 - 2. Solve -3*x - b - c = 11, 0 = 2*x - 4*b + 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186428 is divided by 515?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, m: 3, w: 4, n: 2}. Give prob of sequence wnww.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -9326.252 to the nearest 100.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 425.91 - 425.81. Let k be 1\/3 + (-146)\/6. What is the fourth smallest value in -1\/4, i, -2, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d**2 + 6*d - 10*d - 16*d - d**2 - 10*d.\nAnswer: -43*d**2 - 30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 258 + 26)*(1 - 1 - 3)*(2*f**2 - 2*f**2 + f**2).\nAnswer: 597*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z - 13. Let l(s) = 5*s**2 + 2*s - 2. What is the remainder when l(-3) is divided by (-5 + 4)*z*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -367*g - 6997 - 6582 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -806923*c**3 + 156635*c**2?\nAnswer: -4841538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/11, 0.4, -0.4, -117.63?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 28*v**2 - 62*v - 69. What is m(26)?\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/80790 and -97\/484740?\nAnswer: 484740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(1 + 0 - -1). Suppose 4*c - 4 - m = 0. Suppose -3*q = c*q - 20. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -2662245?\nAnswer: -2662242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 109?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 137 = -2*b - 7*f, 308 = 5*b + f. Suppose 3*w + 4*c - 232 = -w, 0 = w - 2*c - b. Let q = 90 - w. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 15.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 1. Let f be (-23)\/(-7) + (-2)\/7. Suppose f = -2*m - 1. Let r be g(m). Solve 4*b = -1 + r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/12 and 49\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 473670757 a multiple of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + j**2 + 2. Let x be z(0). Solve x*c + 1 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/12)\/((-12)\/(-18) - (-33)\/(-45)). What is the closest to 2\/3 in 1, q, 4\/3, -6.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*(4*sqrt(133) + sqrt(133))\/sqrt(7))**2.\nAnswer: -120*sqrt(19) + 4291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + y**3 + 0*y**3)*(-24*y - 72 + 72).\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*v + 420 = -226*v. Solve 0 = 4*d + 2*n, 4*d - 5*n + n - v = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271461?\nAnswer: 83, 27367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 1, w: 8, u: 2, q: 6}. Give prob of picking 2 q and 1 w.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9570.91 + 9571. What is the closest to -1 in 0, 3, z, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 8, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 936*m. Let i be (11552\/171)\/(-19) + 4\/(-9). Let c(a) = -26*a. Determine i*x(g) - 143*c(g).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhcllrplphlchcrrppr. Give prob of picking 1 r and 3 p.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-1088)*-16)\/(15*(-4)\/(-4000))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -8. Let l = 4.6 + z. Let j = -14 - -14.1. Put l, 3\/4, j in decreasing order.\nAnswer: 3\/4, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/30 and (-1060)\/(-18810)*159 + 36\/(-4)?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let m(l) be the first derivative of 38\/3*l**3 + 0*l + 0*l**2 + 62. Determine u(m(g)).\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2 - 247 + g**4 - 4*g**3 + g**2 + 247 + 5*g**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 10 = 2*z, 5*z + 4*n + 18 + 1 = 0. Let l = 9 + z. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153205 (base 7) to base 12\nAnswer: 153b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 10*b + 3. Let j be y(-10). List the prime factors of ((-2)\/(-6))\/(j\/261).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1204*d**3 + 946*d**3 - 68*d**3)*(-1 - 3 + 3).\nAnswer: -2082*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 8*i - 3*a - 11, -5*i + 35 = 5*a. Suppose 0 = -n + 3, -2*l = -6*l + 4*n + i. Let w(u) = u**2 + 5*u - 10. Let q be w(-7). Solve 4 = -q*c - l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + 903\/945?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 15*n**2 + 8*n**2 - 2*n**2 - 13*n**2 + 7*n**2. Let w(b) = 342*b**2. What is w(l(y))?\nAnswer: 76950*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/358 and -22\/7.\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 81. Let s(r) = -r. Give g(s(y)).\nAnswer: 2*y + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18\/227 - -1999\/10896. Let d(h) be the third derivative of -25\/24*h**3 + 0*h + 0 + s*h**4 - 1\/240*h**5 + 17*h**2. Factor d(z).\nAnswer: -(z - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 35. Let s = -218 - -667\/3. Factor 4\/3 + 1\/3*d**4 - 4*d - 2*d**3 + s*d**c.\nAnswer: (d - 2)**2*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154640 and 4240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 3:14 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -34704 + 34704 - 12*v. Let k(i) = 3*i. Give n(k(q)).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/4, -4\/3, -3\/2, -269, 2\/7, -4, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c**2 + c**2)*(c**2 + 38 + 15*c**2 - 35).\nAnswer: 48*c**4 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*i, -2*b - 3*i + 5*i - 6 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2, 5*d + 26 = 3*o + 9. Suppose 3*r = o*v + 6, -4*r - 5*v = -12 + 4. Find the first derivative of 2*g**2 + 2*g**4 + 6 - r*g**2 - 3 wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3956 - 3932. Calculate the greatest common divisor of q and 1668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.00964 - -0.01. Round b to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 665 + -659. Let i be (-656)\/1353 - (-4)\/q. Sort 1, -5\/4, -3, i in ascending order.\nAnswer: -3, -5\/4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/386*((-60489)\/78)\/(-47) and 0 - (8\/(-3) - 2).\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*k - 7628 - 1537 - 715 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -123\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-730)\/575 - (-4)\/10. Are -2 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -2. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. What is the least common multiple of 34 and q?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*-2*6\/9. Solve -l + 9 = -2*x - 5, -4*l - 4 = w*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -1 - (4 + -30 + 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -3, 200, 3 in ascending order.\nAnswer: -3, 1, 2, 3, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 87.91641.\nAnswer: 26.374923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -567.432.\nAnswer: -562.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**5 - 102*y**4 + 410*y**3 - 96*y**2 = 0. What is y?\nAnswer: -16, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 145 = -6*r. Suppose m - r - 48 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110000 - -111001?\nAnswer: 1010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 10. Let x be r(-6). Suppose 2*c + x = 3*j, 5*c - 2 = j - 9. Find the third derivative of 13*d**2 - j*d**2 - 2*d**2 + 8*d**5 wrt d.\nAnswer: 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {i: 1, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**3\/3 + g**2\/2 + g + 1. Let s(v) be the first derivative of v**4\/2 - 2*v**3\/3 + 2*v**2 + 2*v + 10. What is 2*j(n) - s(n)?\nAnswer: -2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4444 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 40*t. Let y(b) = -4*b**2. Determine y(f(o)).\nAnswer: -6400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -95*q**3 - 4*q**2 - 10*q. Let i(u) = 94*u**3 + 3*u**2 + 8*u. Determine -4*i(o) - 3*j(o).\nAnswer: -91*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 o when three letters picked without replacement from {r: 9, o: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.59 - 0.59. Let q = 0.18 + o. Which is the second biggest value? (a) q (b) -6 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 9 - 0 - -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26242, 104838, 235838, 419242?\n\"Answer: 26202*n**2 - 10*n + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001122111201 (base 3) in base 15?\nAnswer: b2127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (53764\/48 - 3\/36) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 4*k - 1. Let s be v(-5). Suppose -8*o = -s*o - 8. Suppose 0 = o*w - 2 - 8. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (285\/38)\/((-3)\/(-10)). Let j = v - 20. Is (14\/j)\/((-4)\/(-40)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3971 + -2439. What is the remainder when x is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2085796741 to the power of 1\/2, to the nearest integer?\nAnswer: 45671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*m**3\/3 + 581036*m**2\/9 - 1076*m = 0.\nAnswer: -2421, 0, 1\/60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -971 (b) 49 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3374 and 408755039?\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 - 7*u + 431. What is t(0)?\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from frcr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0*b**6 + 0 - 1\/210*b**7 + 15*b**2 + 1\/6*b**5 + 0*b + 0*b**3 + 0*b**4. What is the third derivative of v(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 72, 92, 112, 132?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -9.7. Let h = o + -5. Which is the biggest value? (a) 1 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 7, e: 2}. What is prob of sequence evvl?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1296) - 1*sqrt(324))\/(((sqrt(108) - -2*sqrt(108))*5 - sqrt(108)) + sqrt(108)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*h - 44 = 10*y - 9*y, y + 60 = -0*y - 2*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3\/5 + 43572*t**2\/5 + 6126732*t\/5 = 0.\nAnswer: -14382, -142, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, 1\/3, -0.1, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022010111 - -1?\nAnswer: 1022010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 5842 = 4*f. Suppose -2*x + 5*s + 6986 = f, 4*s - 13860 = -5*x. Let m = x - 30471\/11. What is the common denominator of m and -31\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 513*u - 48168. What is q(389)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000100595 rounded to 6 decimal places?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m. Let u(b) = 2*b - 8. Let k be u(m). Let t = 11 + k. Put t, 5, 0 in descending order.\nAnswer: 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -3*v. Suppose -3*d - x + 9 + 24 = 0, x = v*d - 44. Suppose 8*p = 3*p + 5*m + 20, 3*p = 5*m + 16. Solve c + d = -3*q, 6*c - p*c + 5 = q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + ((-24)\/(-20))\/(5*2\/175).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 57. Calculate i(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -718469696 divided by -3389008.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/4))\/g)**(-18\/7)\/(g\/(g*g*(g\/g**(-1))\/g*g)*g)**3*(g**0\/g)\/g**(-4)*g*g**1*g**(2\/7) assuming g is positive.\nAnswer: g**(149\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206933.\nAnswer: 206933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - 1) + 8 + (-32 - (38 + -62)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719868870934 plus -4?\nAnswer: 1719868870930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50570 + 9*b - 50570.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22717 or 90867\/4?\nAnswer: 90867\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.71 + -6.19. Let p = -54.979 + -0.021. Let f = p - i. What is f rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, 2, -5, -4, -2 in ascending order.\nAnswer: -5, -4, -2, 1, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/14)\/(4\/28). Which is greater: 5\/6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/12*6\/4. Let f be -4 + (4 - r\/(-22)). Which is smaller: f or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.7 - -8.6. Let z = 8 + t. Which is the smallest value? (a) 3\/5 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.802 - -1.55. Let f = s + 0.25343. Round f to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-2) - (-3)\/(-1). List the prime factors of -74*(-2)\/(16\/k).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 19*o**2 - 42*o + 1. Let h be k(21). Let v(g) = -g + 2. Let r(c) = c - 10. Let j(w) = h*r(w) + 4*v(w). Calculate j(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 10*o = 145, 8 + 22 = 4*o - 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -516*p**3 + p + 12534 wrt p.\nAnswer: -1548*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -154*i + 1. Let x be j(5). Let u = x - -1608. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h - 12 = 0. Let p = 25\/2 - h. Let g = -5 + 3. Which is the closest to -1? (a) g (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601, 600, 599?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2842 - -8527\/3. What is the closest to -3\/20 in c, -1\/4, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2588659 is divided by 517718?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -373 - -189. Let h = k - -177.79. What is h rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) + (-7)\/(-2). Let y(t) = 5 + 0*t**3 + 0 + 10*t - 3*t**3 - 5*t. Let v(i) = 3 + 3*i - i**3 + 27632*i**2 - 27632*i**2. Calculate b*y(m) - 5*v(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159633 is divided by 53177.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 8457*a - 42230. Calculate q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30673 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 1 - 17 - 13 = -5*c + 7*d, 18*d = -324 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose 3*g = -2*d + 4, 5*d + 5 = g - c. Sort d, 1, 3 in descending order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-2\/33)*k)\/k)**(1\/13) assuming k is positive.\nAnswer: k**(31\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26 and 611141139.\nAnswer: 611141165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 501\/74 + -3\/148. What is the common denominator of (-21)\/(-4)*22\/24 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:15 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34286 and 16058?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(1\/12)*f*(f*f**(1\/13))\/f)**34 assuming f is positive.\nAnswer: f**(7939\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 464*n. Let t(q) = -q - 158113. What is y(t(v))?\nAnswer: -464*v - 73364432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.68 - -5.42. What is q rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 219, 476, 835?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*t + 2, 6*t - 3*t + 3 = 3*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -49*v - 32. Let y be r(-1). Solve 2*m = -2*b + b + 3, y = 3*b - 2*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 9:10 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318 = -4*p + 7*p + 15*d, 0*p = 3*p + 4*d - 87 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 5. Let l be y(7). Let m be 5 - (2\/l + 2). Suppose c - 26 = -o, 3*o = -0*o + m*c + 99. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -596, -1139, -1672, -2195, -2708, -3211, -3704?\nAnswer: -4187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21 - 27)\/((-6)\/16). Solve -i*s = -6*s + 30 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1469782 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**7\/840 - z**6\/80 + z**5\/30 + z**4\/16 - 3*z**3\/8 + 67*z**2. Let l(a) = 0. Calculate a.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169260951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.08 - -0.02. Let b = d - 0.6. Put 3, b, -4 in descending order.\nAnswer: 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 v when three letters picked without replacement from {o: 2, v: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27434 + 82327 + 39*l - 27461 - 27433.\nAnswer: 39*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5125274*x**3 + 3951602 wrt x.\nAnswer: -15375822*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 12*y**2 + y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*l = -1938, -3*m - 12*l = -9*l - 1167. Suppose -5*d - 298 = -m. Calculate the remainder when 70 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + (sqrt(78)\/sqrt(3)*5 - sqrt(26) - sqrt(26) - sqrt(26)))\/sqrt(32).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.39209 + -2.1882. Let g = 0.203 - p. Round g to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -142540\/17 > -8385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53249.918 rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 20201012?\nAnswer: 20201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448 (base 12) to base 16.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -9. Let f be 2\/n + 316\/20. Let q = 7 + -3. Solve 0*t = q*t - f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370021751 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6843075 is divided by 209?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*h)*(-2 + 3 - 6) + 0*h + 0*h - 2*h + h + 0*h + 0*h + 16*h - 26*h - 27*h - 57 + 57 + 19*h + (2 - h - 2)*(1 + 0 - 2).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 1, -4, -42, -6 in descending order.\nAnswer: 4, 1, -4, -6, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 156855496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/2)*v*v*v\/v**1)\/(v**(4\/5)\/(v*v*v*v*v**(-3\/2)*v*v)) assuming v is positive.\nAnswer: v**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*b - 6*p - 46, -4*p = -2*b + 36. Suppose -4*i = 2 + b. Let o be (-12)\/(-3*i\/(-6)). Solve 4*s = 20 - o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -421013 - -3?\nAnswer: -421010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.081? (a) -64.3 (b) 6 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -a2?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*j - 3 = 7, -t - 5*j = -2. Suppose 4*b = -5*n + 41, t*n - 2*b + 2 = b. Solve -10 = n*a - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/z**(-8))\/z))\/(z*(z**(-1)*z*z)\/z))\/((z**(-2\/17)\/z)\/z**(-8)) assuming z is positive.\nAnswer: z**(-270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/22712484 and -61\/64?\nAnswer: 363399744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -100, -79, -70, -85, -136, -235, -394?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {n: 1, t: 1, q: 2, i: 2, h: 1, s: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/3)\/(h*h*h*h*h**(-1\/4)\/h))\/((h**(5\/2)*h)\/h**1) assuming h is positive.\nAnswer: h**(-83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5*f + 29, 2*w = 4*f - 12 - 0. Suppose w*y = 3*l - 44, 3 = l - 4*y - 1. What is the lowest common multiple of l and 42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2 = -4*g, -g - 12 = -9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/12 + p. Let c(r) = 4*r - 2*r + r + 7*r. Determine c(d(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let b(p) = p**3 + p**2 - p - 2. Let r be b(x). Let s = -813 + 815. Sort -5, s, r.\nAnswer: -5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7747*s**2 - 7747*s**2 - 326918*s**3 + 326920*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 405 = j - 234, 4*l - 3151 = -5*j. Suppose -j + 7 = -4*f. What are the prime factors of f?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/170801115 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4799 a factor of 50835807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 + 6*x - 7. Let u(k) = 14*k + 11*k**2 + 10*k + 17*k + 15 - 66*k + 12*k. Calculate -13*p(g) - 6*u(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/7*(-98)\/63?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2 - 6*n - 20. Let u be x(4). Let h be (u\/85)\/((-6)\/10). Let r(l) = -l**3 + 6*l**2 - 4*l + 7. Let z be r(5). Solve z = -0*v - h*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433 + -211122224?\nAnswer: -211121241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.21 + 31.29. Let o = f + -34. Let x = o + 2. Is 2\/13 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*w - 4*p, -3*w + 120*p + 7 = 122*p. Suppose 0 = 4*l - 97 - 11. Put -8, w, l in descending order.\nAnswer: l, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w**3 + 6*w + 1. Is a(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5138 is divided by 5129.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 61*s**3 + 17 + 73*s**3 + 2*s**2 - 27*s - 135*s**3. What is the hundreds digit of p(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33899, 29105, 24313, 19523, 14735, 9949, 5165?\n\"Answer: w**2 - 4797*w + 38695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.947 - 0.053. Let x = 1.000174 + k. What is x rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5538*a**2 - 2870 + 10269 - 2*a**4 + 3325 wrt a?\nAnswer: -8*a**3 - 11076*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7.9. Let u = 14820 - 14818. Which is the nearest to -0.2? (a) u (b) 4 (c) -7 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:42 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxdg when four letters picked without replacement from ccggigxxcidgcgcc.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-20) + (-2)\/(4\/(-30)). Suppose f + d*p - 170 = 16*p, 4*p = 16. What are the prime factors of f?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2905168998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 - t**3 - 6 + 2*t - 9*t**2 + 2*t**3 - 3*t**3. What is the remainder when 35 is divided by z(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 14316.\nAnswer: 71580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78 - -81) + (3 - (3 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 16) to base 15\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 25 + -10 + 1 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2819, -11299, -25363, -45017, -70267?\n\"Answer: -v**3 - 2786*v**2 - 115*v + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64)\/(-40) + (-4)\/(-10). Find the third derivative of -3*x**4 + 9*x**4 - 2*x**n - 2*x**2 + 0*x**2 wrt x.\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*c - 8. Suppose 5*k = 4*k - 2*x + 143, 0 = -c*k + x + 554. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 417 = -3*w - 514, 1395 = 3*q - 5*w. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -13*m + 25. Suppose -3*p - m*t = 25, -p - 25 = -3*p + 5*t. Suppose p = -2*f + 6*f - 76. What is the highest common factor of f and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)*i*i\/i**(-2))**(-32) assuming i is positive.\nAnswer: i**(-672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 14*g**2 + 16*g + 4. Is c(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 2 - (-34 + 28)) + 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/15)*v*v**(-4))\/(v**3*v*v**(-1)\/v))**(-2\/5))**(-1\/8) assuming v is positive.\nAnswer: v**(-37\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 284.7 and -0.22.\nAnswer: -62.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5167 - 25837\/5. Which is the biggest value? (a) -5 (b) 83 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 3*d**4 + 2*d**4 - 11 + 18 to the form c*d + r*d**4 + p*d**3 + q + u*d**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*l - 835 = -93*l. Solve 0 = -25*f + 23*f + 2*o + 2, 0 = l*f + 2*o - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43018.02mg to tonnes.\nAnswer: 0.00004301802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/58)\/(((-108)\/(-32))\/3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 545200 and 87232?\nAnswer: 2180800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**4*g**3 + 30293*b**2*g**3 + 17*b*g**3 + 2734*g**3 wrt b.\nAnswer: 36*b**2*g**3 + 60586*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1300 = -445. Suppose 0 = 46*o - 120*o + 137936. Let d = p + o. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**2 + p**2 - 2*p**2)*(-p**2 + 3 - 3) + 107*p - 18*p**4 - 327192*p**2 + 327192*p**2 in the form f + x*p**4 + t*p + o*p**2 + q*p**3 and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -309412400 rounded to the nearest 1000000?\nAnswer: -309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/339 (b) -2\/5 (c) 1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-47) - 635510\/57998.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 57*o - 61*o - 26 = 6*p, -3*o = -4*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 7376*x + 9*x**3 + 7376*x - 3*x**2.\nAnswer: 9*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 9 + 21. Suppose 5*j - 13 = 2*y, y - 6*y + g = -3*j. Suppose y*c - 3*c = 18. Solve c*i = -4*d + 2*i - 16, 5*d = i - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14073\/7 + -2009. What is the second smallest value in -16, 4, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/9 - 3)*-6. Let a be (8 - r)\/(1*2). Suppose 0 = 3*b + 2*l - 11, -2*l + a = 4*b - 2*b. Solve -2*q = -b*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5702 = -6*j + 32210 - 5428. Is j a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 143 - 443 = 0. Suppose 3*d = -d + z. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 5. Let l(i) = i**2 - 6*i - 2. Give l(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/6*3*4\/(-8). Let j = p - -33. Calculate the highest common factor of 242 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10031480860 to the nearest 1000000.\nAnswer: -10031000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579404*f**2 + 579404*f**2 + 39*f**3.\nAnswer: 39*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 + 2*n**3 + n**3 - 4*n**3 - n**2 - 4*n**2 as k*n**4 + i*n**2 + b*n + v*n**3 + l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*1\/2 + -1 + -1. Let w = j + 4. Suppose w*o - 4*b + 58 = 3*o, -2*o + 5*b + 54 = 0. Calculate the highest common factor of o and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023623 to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 157260, 314519, 471778, 629037, 786296?\n\"Answer: 157259*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 940 by -188.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 2*j - 2*j. Let p(h) be the second derivative of -2*h**3\/3 - 5*h**2 - 152*h - 7. What is p(b(c))?\nAnswer: 4*c - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1861 divided by -77\nAnswer: -1861\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/102151113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 3:18 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 433*b + 1733. Give o(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 426332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59765301 by -3.\nAnswer: 19921767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1856 = -y - 455, 5*x = 2*y + 1398. Suppose h + x = 3*a - 332, -218 = -a + 5*h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 77\/5 of a hour?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 18 = 2*v, -5*v + 179*o - 47 = 182*o for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*h + 277*h - 21 = 5*r, -2*h + 114 = -28*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2570 is divided by 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 70. Let w = z + -23. Suppose -2*x - d = -80, 4*x - 4*d + 47 = 5*x. What is the remainder when x is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 3:36 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 80 = -2*q + q, 3*p + 3*q = -66. Let x be 30\/8*(-4 - -8). Let i = p + x. Is -10\/7 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39952430 minus 0?\nAnswer: -39952430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/6 - 64332*d - 1544000\/3 = 0. Calculate d.\nAnswer: -8, 386000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -153 + 3326?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {r: 1, k: 12, g: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -921 + 1234. Let p = 239 - 210. What is the remainder when s is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {i: 2, c: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 11) + 62 + (-57 - -26)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 10*k**4 - 115*k**3\/3 + 3*k**2\/2 - 480. What is the third derivative of n(x) wrt x?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*-24734.\nAnswer: -915158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 695542381 <= 695542378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135524, -270992, -406458, -541922, -677384, -812844, -948302?\nAnswer: -1083758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 9700*i**2 + 9700*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 63184 = -3696. What are the prime factors of v?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/30 + 8*n**5\/3 - 200*n**4\/3 - 3*n**2 + 20. Determine p, given that a(p) = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214114210 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6 + 3. Suppose -4 + 7 = r. What is the second smallest value in r, 0.06, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 963 and 3843.\nAnswer: 411201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least -2465576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 + 308. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 218\/((-150)\/160 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 5*l - 66 = 0. Suppose q - 4*i + 6 = -4, 4*i - l = -5*q. Let s(w) = 27*w**3 - 2*w**2 + 1. Is s(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211076829731370 - -5.\nAnswer: -211076829731365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1745 + -1910.2. Let v = n - -165. Sort v, 4, 0.5, 5 in decreasing order.\nAnswer: 5, 4, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 97*p**3 - p**2 - 2*p + 2. What is d(1)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(77) + sqrt(77)*3 + sqrt(77))*-4 - sqrt(77)) + sqrt(77))\/((sqrt(110) - 4*sqrt(110))\/sqrt(10) - sqrt(11)).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7194 + -7188. Let g(s) = -11*s + 72. Give g(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.27, -7, -3\/7, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/5 - 11258*n**3\/5 + 33786*n**2\/5 - 6758*n + 11264\/5 = 0. What is n?\nAnswer: -5632, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5)*1*-6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**2 - 10*j**2 + 2*j**3 + 0*j**3 - 5*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -118 - 117 - 9*g + 252. Give z(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1323*q**2 + 4950*q - 4950*q + 1 - 1 as j*q + y + u*q**2 and give u.\nAnswer: -1323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -175, -213, -287, -409, -591, -845?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2978048*g*u - 1030*g - 540 wrt u.\nAnswer: 2978048*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*(-10)\/15*-30*(-30)\/1800.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12900732 from 3.7.\nAnswer: -12900728.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2442 and -59\/80858.\nAnswer: 98727618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1836864?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2598560 and 69\/19072.\nAnswer: 10394240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (60\/9 - 4). Let g be 3\/(-2) - ((-6)\/10 + 3443\/330). Is a smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -236, -433, -628, -821, -1012, -1201?\n\"Answer: c**2 - 200*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 382*p - 8733. What are the prime factors of d(80)?\nAnswer: 13, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in -2\/13, 0.33, 166, 6.7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-37)\/t**22*(t\/(t*t**(-2\/29)*t))**50 assuming t is positive.\nAnswer: t**(-3061\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 (base 8) in base 6?\nAnswer: -1524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -565?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - c + 2. Suppose -3*f + f - 10 = 0, 4*b - 2*f - 34 = 0. Calculate the remainder when k(2) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 17 - 1)*(2 - 3 + 2)*(-4 + 1 + 4)*(-87 - 3*m + 87).\nAnswer: 81*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 - 14*t + 5. Let d(m) = -4*m**2 + 15*m - 7. Let x(f) = -3*a(f) - 4*d(f). What is x(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 14*h**2 - 18*h - 10. Suppose -13*j + 18 = -16*j. Let p(y) = 5*y**2 - 6*y - 3. Let c(k) = j*x(k) + 17*p(k). What is w in c(w) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/10 + 7\/(-35))\/(3\/20). Solve 0 = -l + 5*m + 19, -4*l + 2*m + 12 = b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let s(n) = 58*n. Give s(c(k)).\nAnswer: 58*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 21 - 18 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -11845?\nAnswer: 1\/2369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 4*y**2 - 3*y + 3. Let w be g(-3). Suppose -4*z = f - 31, f + w*z = -2*f + 129. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 220\/33*3*262. Suppose -k - 3008 = -8*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 2*k - 16*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*j + 12, -14 = -o - 2*j - 2*j. Suppose 4*f - 4*r = -258 - 10, -2*r - 274 = 4*f. Let h = -40 - f. What is the remainder when h is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 4*k - 3. Let z be i(-6). Let s be (-1)\/(-5) - 42\/z. Solve 7*n + 16 = s*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -18 and 319\/683 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2. Let v(l) = 3244*l**2. What is a(v(k))?\nAnswer: 42094144*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/5 + -4\/35. Let o = 152.81 - 154.81. Which is the nearest to 2? (a) m (b) o (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1482024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2*q**3\/3 + 5*q**2 - 34. Factor i(f).\nAnswer: 2*f*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {t: 7, o: 2}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.108170941 + 38369\nAnswer: 38368.891829059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4561, 4534, 4489, 4426?\nAnswer: 4345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 14 = -6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -5 (c) -4\/5 (d) 0.1 (e) -1\/10 (f) 22 (g) 18\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2613, -2615, -2601, -2559, -2477, -2343, -2145, -1871?\n\"Answer: 2*v**3 - 4*v**2 - 4*v - 2607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qso when three letters picked without replacement from {s: 4, j: 1, n: 1, d: 5, q: 4, o: 4}.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1233\nAnswer: 5\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((((d\/(d**(-1\/21)\/d))\/d)\/d)\/d*d)*d)**(-23)*d**13\/(d*d\/d**21) assuming d is positive.\nAnswer: d**(-271\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -36. Calculate the remainder when 35 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 823 + -465. Sort -0.5, 0, y in decreasing order.\nAnswer: y, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1 - 7\/(-1)). What is the nearest to -2 in 2, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-108)\/42)\/((-2)\/(-14)). Calculate the common denominator of (110\/(-35) - -2)\/(d\/231) and 97\/134.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20044 (base 9) to base 4\nAnswer: 3031222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 26*l**2 - 11*l + 44. Calculate n(6).\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*w - 4 + 6, 2 = w + q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, 1\/347, -12, -0.03, 1\/62?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o = 0. Let j = -15 - -14.99. Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:27 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12073*h**2 - 2174 - 36201*h**2 - 1985*h**3 + 12068*h**2 + 12063*h**2 wrt h?\nAnswer: -11910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94256 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1996296, 1996281, 1996266, 1996251?\nAnswer: 1996236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 14 = -3*t + 1, 3*t = -4*q - 13. Let w = -388 + 306. Let z = w + 83. Solve z = -b - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -9.2. Let l = -8.9 - j. Round l to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10*t. Let w(y) = 7*y**2 + 6*y - 6. Let a(x) = 8*x**2 + 7*x - 7. Let r(q) = -6*a(q) + 7*w(q). What is r(z(b))?\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28388570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 874 - 871. Sort o, 14, -2\/125 in increasing order.\nAnswer: -2\/125, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 10*n**2 + 2*n + 8. Is l(8) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1092 (base 12) to base 16.\nAnswer: 72e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 98 = -f, -5*o + 1863 - 2185 = 3*f. Put -2, -3, f in ascending order.\nAnswer: f, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**2 - 1. Let f(q) = 3*q + 1. Let n be f(1). Let c(b) = -b - 2*b + n*b + 3*b. Calculate p(c(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1882690*b**2 + 259712*b + 4 wrt b.\nAnswer: 3765380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 6:34 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 1 - 3*a + 2. Determine m(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rojjrrgrjjgrorogj. Give prob of picking 2 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1081*p = 1064*p. What is the closest to -20 in 18\/5, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/3 + 7765220*z\/3 - 7537330206050\/3 = 0.\nAnswer: 1941305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 8*a**2 + 72*a + 563. Let r be y(-9). Let o = -9 - 2. Sort o, -3, r.\nAnswer: o, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 13. Suppose -2*z - j*x + 2 = 0, -5*z + 22 = 5*x - x. Let s = 14 - z. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -1.3. Round l to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-1150)*(8\/32)\/((-20)\/800)?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from ggggqqqqqqqgggqgqgqq.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73.0472 or 1\/3?\nAnswer: -73.0472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.67843 years in months?\nAnswer: 296.14116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 2*a**3 + 19 - 5.\nAnswer: -2*a**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349698151 to the nearest integer?\nAnswer: 18700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 621.9006 + -622. Let l = d - -0.09940421. Round l to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -546, 0?\nAnswer: -546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -27*i**2. Let b(u) be the third derivative of u**7\/1260 - u**5\/20 + 5*u**4\/24 - u**2 - 70. Let h(y) be the third derivative of b(y). Give l(h(w)).\nAnswer: -432*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 825422289 to the power of 1\/3, to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 2. Let i(x) = -55*x + 8. Determine i(g) - 3*l(g).\nAnswer: -58*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/12 and -9\/46905092.\nAnswer: 140715276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/120 - 7*s**5\/30 + 47*s**3\/6 + 30*s**2. Is m(-14) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 309*i**2 + 309*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -26. Let h = 34 - 21. What is the remainder when y is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6439774 to the nearest integer?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 43 + 2*x**3 - x + 6*x**3 in the form q + z*x + n*x**2 + d*x**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-56)*(-3)\/(-12)*24.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -169 - 179405?\nAnswer: -179572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -19*c**2\/2 - 236. Let l(o) = 4*o**2. What is l(v(t))?\nAnswer: 1444*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*u + 28475, -2*n = -4*n - 4*u + 11366. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1325, -2653, -3981, -5309, -6637, -7965?\nAnswer: -9293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -433909380*s**4 + 562769099*s wrt s.\nAnswer: -5206912560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 0.06 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s - 629786. Let r(g) = -g. Determine o(r(y)).\nAnswer: -y**2 - y - 629786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + 30 + -58 + 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2)*p)**(13\/2)*(p*p**(-3\/7))\/(p**(-2\/15)\/p)*p**7*p**7*(p*p*p**3)\/p**6 assuming p is positive.\nAnswer: p**(10271\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*h = 218*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67996657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/118 and 61\/14.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5807 = -i + 5835, 3*i - o = 49 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -534*h**2 - 445*h + 445. Let b(a) = -a**2 - a + 1. Calculate 445*b(d) - t(d).\nAnswer: 89*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let n(t) = 49*t**2. What is k(n(g))?\nAnswer: 2401*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (2 + -1)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*d - 0*d - 131970, 52792 = 2*d - 3*z. Suppose -d = 16*n + 10090. Round n to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2592)*2*-2*-4)**2 + 5 + (sqrt(2592) - (sqrt(2592) - ((-1 + sqrt(2592) - sqrt(2592)) + 4))) + 1*sqrt(2592) + 5.\nAnswer: 36*sqrt(2) + 663568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -3, -0.6, -0.189554, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 191 + 2*d - 111.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 7*r - 17. Let k be l(3). Let t(d) = d**3 + d**2 - 3*d - 1. Let p be t(3). Suppose -5*u = -44 - p. Which is greater: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 = -3*v + 109. Suppose 25*n - 205 = v. Solve -9*x = -6*x + n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1798 and 2542?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z = 21*z + 456138. What are the prime factors of z?\nAnswer: 2, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -5*r + 35, -3*r + 5*f + 9761 - 9740 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 255 = -11*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 + -142.1. Let f = -8 - u. Which is the smallest value? (a) f (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -919 divided by 30.\nAnswer: -919\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 12*b**2 - 13*b - 17. Let q be l(-13). Let t = 17 - q. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.4428 rounded to 1 dp?\nAnswer: -186.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**3 - 2721*s**2 - 1077*s + 1629.\nAnswer: -3*(s + 1)*(s + 181)*(5*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 16. Determine f(-11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:06 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141352545, 282705089, 424057633, 565410177, 706762721, 848115265?\nAnswer: 989467809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -1\/6*m**3 - 4*m - 11 + 0*m**2 - 1\/12*m**4. Let h(r) be the first derivative of d(r). Suppose h(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5) + 531\/2505. Let z = q + -360\/2171. What is the third smallest value in 4, 0.4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61918673?\nAnswer: 73, 848201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 = -824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3697, -7392, -11087, -14782, -18477?\n\"Answer: -3695*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(1 + 1 + 0)*(2*z**5 - 194*z**3 - 4*z**5 + 172*z**3).\nAnswer: 12*z**5 + 132*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 90?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 - q - 1. Let u be t(-4). Let v(y) = y**3 - 5*y**2 - 7*y + 8. Let l be v(6). List the prime factors of (u\/l)\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 3*w + 6. Let i be k(4). Find the third derivative of 5*x**6 + x**6 + x**2 - 2*x**6 + x**i wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118661220 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400092967.\nAnswer: 2339, 171053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2105423083?\nAnswer: 59, 35685137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388721.1 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 494743679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75137 and 150728.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 28*v**2 - 170*v + 6052. Calculate z(29).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 612 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 29 + 94 = -5*s, -4*f - 16 = 0. Let q be (1 - s\/(-12))*(-1428)\/1400. Let k = q + -1397\/40. Calculate the common denominator of k and -49\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 19608 = -3*h + 5*h, 0 = 3*c + 2*h - 19596. Suppose 11*l - c = 10153. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 400, 662, 922?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1113.147 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-1 - -5)) + 2. What are the prime factors of 3 + 0\/l*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47046122 rounded to four decimal places?\nAnswer: 0.4705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 11*f + 27. Let d be a(2). What is the greatest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1183*z + 1185*z - 7*z**2 - 2368*z.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k - 100. Let g be d(-10). Suppose -24*u + 8*u + 2112000 = g. What is u rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5)\/w*w)\/w*w**(-8)*w**(2\/19)\/(w**(1\/2)*w) assuming w is positive.\nAnswer: w**(-547\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 397*a**2 + 2*a - 2. Let u(i) = -397*i**2 - 2*i + 5. Determine -3*b(f) - 4*u(f).\nAnswer: 397*f**2 + 2*f - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15872.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 282268125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*g + 283*g - 569*g + 0*g**3 - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-6) - 14539\/(-84)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -59. Let h be (26 + -4 + j)*-1 - 4. Let d = 31 + h. Calculate the least common multiple of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o - 16, -2*h = 2*o. Suppose -3*t + 63 = -h*p + 21, 5*t - 81 = 3*p. Let z = t - 5. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42434 - 40.95\nAnswer: 42393.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 - 77 = -3*b, 0 = -4*f + 3*b + 50. Let p = f + 0. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -55. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (172\/129 + (-93)\/9 - -5)*(-2)\/56?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.12 + 0.12. What is the closest to 0.1 in 8, p, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 60 = -5*n, -n + 7*b = 2*b - 30. Suppose 7*g - 132 = -n*g. Let t = 92 + -38. Calculate the highest common divisor of t and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2677 + -2677.2. Which is the biggest value? (a) 0.026 (b) k (c) 4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sff when three letters picked without replacement from {f: 7, s: 4}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 30*x + 10 = -31*x, 0 = -5*v + 5*x - 25 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17102943, 17102937, 17102931, 17102925, 17102919, 17102913?\n\"Answer: -6*m + 17102949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -115, -258, -483, -808, -1251, -1830, -2563?\nAnswer: -3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1120012 (base 3) to base 13\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1122 by -66.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 4919, 8, 4 in increasing order.\nAnswer: -5, -4, 4, 8, 4919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 145. What are the prime factors of (228\/(-190))\/(6\/r)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c + 70. Determine b(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14\/9 (b) 3 (c) -0.1344 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 - 2*w**3 + 17*w**2 + 2*w - 52. Find the second derivative of m(q) wrt q.\nAnswer: -6*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57734043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 30 + 89 = 3*b, k + 20 = b. Let x = -112 - -55. Calculate the remainder when b is divided by 2\/(-5) + x\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 15589.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3.05, 3001, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90579530 divided by -6.\nAnswer: -45289765\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 1 - 3)*(-2 - 3 + 3)*(-r**4 - r**4 + 3*r**4) + 470*r**4 + 355*r**4 - 248*r**4 to the form g*r**2 + c*r**3 + x*r + b + i*r**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**3 - 18094*c**2 - 39928 wrt c?\nAnswer: 6*c**2 - 36188*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than or equal to -356.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s + s + (-3*s - s - 9*s)*(-2 + 6 + 1))*((s - s + s**2)*(-3*s + s**2 + 3*s) + 2*s**2 - 2*s**2 + s**4)*(0 - 3 + 4)*(7 - 4 + 16).\nAnswer: -2546*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((2*3\/4)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26254517 is divided by 190250?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 10) in base 5?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 666*n**2. Let a(k) = 323*k. What is a(f(q))?\nAnswer: 215118*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvgvg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 divided by 4?\nAnswer: -183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 21900?\nAnswer: -1\/4380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 7*a**2 + 2*a + 4. Let i be z(7). Is 15 a factor of i\/81 + (-403)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111562320 + 151?\nAnswer: -111562136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 + -1186\/7. Let g = 8.54 + -1.24. Let t = 1.7 + g. Which is the closest to t? (a) 0.1 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -268*d**5 + 62250*d**3 + 881900*d?\nAnswer: -5360*d**3 + 373500*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 397518.4g in milligrams?\nAnswer: 397518400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(735)*-1 + sqrt(735) - sqrt(735)))\/(-1*sqrt(405)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.398 + 0.028. Let b = 0.3785 + x. Round b to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 times -53454?\nAnswer: 19831434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890.6099 decades to months.\nAnswer: 106873.188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/4*k**2 - 1\/4*k**4 + 0*k + 3*k**3 + 0.\nAnswer: -k**2*(k - 11)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*p - 6175 = 710 - 60 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 + 28*r + 8. Calculate n(-7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (1 + (12 - 23)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253904 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.1893 milligrams in nanograms?\nAnswer: 123189300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 6*x + 8. Let f be t(4). Suppose -2*i + 18*i - 1440 = f. Calculate the highest common divisor of i and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*d**2 + 128*d**2 + 155*d**2 - 538*d**2 + 129*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147132 is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 78 = -27. Suppose -t = 4*k - 5, k + 225 = x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (0 + 11 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -366 - -369. Solve 3*o + s*g = 12, 0 = -o + 2*g - 1 - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**5 - k**4 + 5*k**3 + 3*k. Let z(w) = -w**2 - w. Let c(m) = -x(m) - 3*z(m). Find l such that c(l) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f**3 - 5*f + 1. Let w(i) = -10*i**3 - 4*i + 1. Suppose 0 = 4*h + 601*p - 603*p - 10, -h + 2*p - 2 = 0. Give h*a(k) - 5*w(k).\nAnswer: 6*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:14 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5375471, 5375500, 5375505, 5375474, 5375395, 5375256, 5375045, 5374750?\nAnswer: 5374359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211431003 (base 5) in base 13?\nAnswer: -cbbb31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040*x = -1010*x - 270 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33956949*v**3 + 149*v**2 + 11155*v.\nAnswer: 203741694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1304 - -1306. Solve 3*g + y = t, -3*g + g = 2*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -6. Let j = -71 - -71.228. Let x = j + -0.028. Which is the closest to -2\/5? (a) x (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3240347 and 60872.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bmbmmbmbbbmmm?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 165.44 * -1\nAnswer: -165.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49\/3 - -116\/3. Let r be (144366\/18)\/((-22)\/6). Let p = -2191 - r. What is the common denominator of y and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 1154990*u + 25407360.\nAnswer: 5*(u + 22)*(u + 230976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25406700601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7272 and -281?\nAnswer: 6991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -57276, 4, -7, 1, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:22 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 2*f - 6. Determine x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*3*1 - sqrt(84))\/(sqrt(144)\/(1*sqrt(12))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 299 = -14*u. Solve -4*j + 12 = u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*o + 56*o = 49*o + 9604 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 times 119969?\nAnswer: -12236838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -7) + -19*1. Let o = 33 + l. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -1\/10*q**5 - 1\/6*q**4 + 0 + 2*q**2 + 0*q - 1\/60*q**6 + 0*q**3. Factor s(c).\nAnswer: -2*c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -731.0031 + -0.1169. Let t = 752 + c. Let g = -22.7 + t. Round g to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/23 - 35\/92. Let c = -0.327242 - 0.072758. What is the closest to 54 in a, c, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*d = -0*p - 31, -3*d + 4 = 2*p. Suppose 4*f = 2*a - 4 - 4, 0 = -p*a - 5*f + 5. What is the first derivative of -m + a + 0*m + 3*m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-1)\/(-1))\/(60\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*(-504)\/(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -12*m - 101. Let c be l(-16). Calculate the greatest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 66 = 3*o. Let f = o + -23. Let q = -13 - -14. What is the least common multiple of q and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 - 18*m + 18. Let w be (42\/56)\/((-1)\/48). Let l(c) = -c + 1. Let k(i) = w*l(i) + 2*q(i). Let f(t) = 2*t**2. Determine k(f(a)).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -955.9 times 17?\nAnswer: -16250.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2144*v - 13859 + 4296 - 9733 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3465, -13960, -31447, -55926, -87397, -125860?\n\"Answer: -3496*k**2 - 7*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/8 (b) 15 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l - 2. Let v be z(-5). Let f be (-21)\/((-147)\/v) - (0 - 0). Solve -f = -2*x + 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35909*b**2 + 115*b + 19676016.\nAnswer: -71818*b + 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50490078.\nAnswer: 2, 3, 331, 25423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16003614 (base 7) in base 6?\nAnswer: 52450523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**3 + 5*h**2 - 5*h. Suppose -2*d - 4 = 0, -3*s + 0*d - 8 = d. Let i(t) = 3*t**3 + 2*t**2 - 2*t. Determine s*l(o) + 5*i(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5*-5)\/((-8)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136 = -3*h - 8*a + 1044, a = 5*h - 2*a + 88 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -36*u**3 - 7*u**2 - 2*u - 4. Calculate n(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 792 - -213. What is the highest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c (base 14) to base 4.\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.3, -359, 17, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -14, 17, -3, 4\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*j**4 - 5*j**2 - 2*j - j**3 - 42*j**4 + 26*j**4 - 31*j**4 - 61*j**4 as f*j + w + a*j**3 + c*j**4 + v*j**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10e (base 15) to base 13.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (123 + -63 - 97) + (11 - 1 - -1)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(2\/5))**(-26)\/(n**(2\/5)*n**(-1)) assuming n is positive.\nAnswer: n**(-439\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89657444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u**3 - 5*u**2 - 6*u + 4. Suppose 5*g + 12 = -18. Let z(v) = -v**3 - v**2 - v + 1. What is g*z(x) + t(x)?\nAnswer: -2*x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61191792 and 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220 (base 3) in base 14?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25771382.\nAnswer: 2, 7, 13, 141601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4350556 + 1?\nAnswer: -4350555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*k = -28 + 2, -k = -4*q - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/5)*k\/(k*k*k**(2\/39)) assuming k is positive.\nAnswer: k**(-166\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n - 1. Let l be c(1). Suppose 0*g = 3*g. Solve -3*q = l - g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.39 less than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2246822985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*(sqrt(1872)*-1 + sqrt(1872)) + 1*sqrt(1872) + 5 + (sqrt(1872) + 0 + -5)*6))**2.\nAnswer: -16800*sqrt(13) + 369412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) - 595\/(-20). Suppose 155 = 4*o + j, -3*o - i + 165 = -3*j. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -32332035?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + c + 99 + 92 = 0, 3*s = 3*c + 117. What is the highest common divisor of s and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1482094199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (432\/48)\/((-504)\/(-4)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 4*w - 10741 = -10406, -d + 1 = -2*w for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {l: 1, n: 8, k: 2, x: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350 and 14130645?\nAnswer: 989145150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193535 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 31. Let u(d) = 5*d - 32. Calculate 5*h(t) - 6*u(t).\nAnswer: -5*t + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 2*i)*(5*i - 17 + 17)*(-140 + 162 - 65 - 824).\nAnswer: 8670*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 400 + -403. Let v be (-8)\/(-282)*z*3\/(-3). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1116947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 4, z: 1, v: 3, x: 7, m: 1}. Give prob of picking 1 v, 1 z, 1 x, and 1 f.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 218405119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 4)*(3*j + 0*j - 2*j) + (2 - 2 - 2*j)*(-1 - 1 - 4) - 4*j + 2*j + 0*j - 14 + 6*j + 14.\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 2*a - 2. Let h be c(3). Let o = -66574 + 66578. What is the closest to h in 3, 1, 1.14, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -3, 17, 67, 159, 305, 517, 807?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35910779 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -5, -6\/7, 2 in descending order.\nAnswer: 2, -0.1, -6\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1741, 1731, 1715, 1693?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -565 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223033033 + -10000?\nAnswer: 223023033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237 + -249.92. Let y = -1.08 + p. Let k = 68 - 70. Which is the third biggest value? (a) y (b) 3 (c) k (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 - 126. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 57*v - 330. Let g be t(11). What is the greatest common factor of 81 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 2 + (sqrt(704) - (sqrt(704) + -1)) - (3 + 1 + sqrt(704))) + -5 + -5)**2 + 3.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -4\/7, 11351?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 42. What is the remainder when t(7) is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440444 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -859, 4, -29, 0, -2\/9, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 63, 440, 1489, 3546, 6947, 12028, 19125, 28574?\n\"Answer: 56*f**3 - 15*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.48055 to one dp.\nAnswer: -27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) 1\/3 (c) -1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1602, 1564, 1528, 1494, 1462, 1432?\nAnswer: 1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103.2537 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1386)\/(-88) + 1\/4. Calculate the greatest common divisor of h and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361393*s**2 + 54992*s**2 - 83 + 83.\nAnswer: -306401*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000028 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 6*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001221 - 10?\nAnswer: 2001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 44*a**3 + 1. Determine p(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 4*i**2 - i**2 + 5*i**2 - 59 + 29.\nAnswer: 8*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6358921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -14*k**2. Let u be c(1). Let l = 26 + u. Suppose 0 = 5*j - l - 23. Calculate the remainder when 12 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134057 is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6236469 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: Calculate the remainder when 19 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**7\/s))**6 assuming s is positive.\nAnswer: s**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**2 + 9*j - 6. Let p(f) = -6*f**2 + 9*f - 5. Let u(k) = -6*p(k) + 5*y(k). Let t be u(9). Factor 3*q + t*q**3 + q**2 + q**3 + 4*q**2 + 1 - 2*q**2.\nAnswer: (q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 13*x**2 + 121*x + 37. Is u(15) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -260 - 20*p - 60*p - 30*p + 111*p - 20*p. Determine f(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 15 + 47 - n)*(-1 - 15*n + 5 - 2) to the form k*n + j + a*n**2 and give k.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 98, -35, -198, -379?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232 divided by 406213?\nAnswer: 2232\/406213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 56\/3 - (30\/(-18) + (-20)\/(-15))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -630*t + 265. Let a(j) = -45*j + 19. Let c(k) = 55*a(k) - 4*m(k). Differentiate c(n) with respect to n.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -8. Let f = v + -3. Suppose f*g + 3 = 2*g. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -13*h + 32*h - 112406. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 - -688\/7. Which is the biggest value? (a) 4 (b) 1\/6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3 - 5104*k**2 + 328576*k = 0. Calculate k.\nAnswer: 0, 68, 1208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 22 = 2*k, 0 = -2*w + w - 5*k - 4. Let i be 9\/w*(0 + 4). Which is bigger: i or 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58)\/(-8) + (-15)\/(-20). What is the greatest common factor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5499610*c**4 + 2626123?\nAnswer: 21998440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 5. Let k be 1 + u - 7\/(-35). Does k = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 37*w - 18. Let x(a) = 2*a**2 - 18*a + 9. Let n(q) = 4*l(q) + 7*x(q). Calculate n(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Let d(y) = -y**2 + 9*y + 24. Let j be d(11). Suppose -2 = k - j*k. Is k greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88028.34 kilograms in tonnes?\nAnswer: 88.02834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 - 2*v - 1353. Let r(d) = -29*d**2 + 11*d - 33. Let c(m) = -16*m**2 + 6*m - 18. Let s(f) = 11*c(f) - 6*r(f). Determine h(s(q)).\nAnswer: -12*q**4 + 4*q**2 - 1353","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3918 + 10295. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3974*-1*2\/(-6 + (-7 - -11)).\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/35579227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*u - 64. Suppose -3*z = 2*z - u. Suppose z*j + 13042351 = -75457649. Round j to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t**2 + 3083*t - 12088. Determine a(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -176, -700, -1900, -4112, -7672, -12916, -20180, -29800?\n\"Answer: -56*n**3 - 2*n**2 - 126*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 3*h)*(2*h - 3*h + 3*h) - 18 + 12 + 4*h**2 + 4.\nAnswer: 6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/8000 and 109\/43400.\nAnswer: 1736000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g + 6. Suppose h = -c - 0*h - 1, -3*c - 5*h - g = 0. Suppose 2*n - 8 = 0, 7*x + 2*n = c*x + 36. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*u - 11*u = 0. Let h(j) = 5*j - 5*j + j - 7 - j**2. What is h(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836040923 a multiple of 3463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let o(r) = 72*r - 72*r - 4*r**2. What is j(o(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 9*u**2 + 5*u - 20. Let z be f(-8). Suppose 3*p - z*r = -0*p + 24, 5*p - 40 = 2*r. Let j be (-1)\/7 - (-430)\/70. Which is smaller: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 1617?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c700c3 - 1?\nAnswer: c700c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-90)\/(-27)*6*19\/(-16)*-4. Which is greater: 83 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/8 - 11535*x**2\/4 + 10513371*x\/8 - 308967489\/2.\nAnswer: 3*(x - 7212)*(x - 239)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppoopppp. Give prob of sequence ppo.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.028 in 4, 1\/2, 36, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -15*t**3 - 111*t**2 + 31*t + 114. What is p(-7)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.67 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/569*5\/(-3). Let v = 52937\/2276 - q. Calculate the common denominator of -2*1332\/528 + 4 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 390 + -389. Suppose -3*z + 23 = 5*n, 5*z + 2*n - 55 = -3*n. Suppose p - 2*r - 6 = -3*r, z = 5*p - 2*r. Solve -m = -d - 6 - f, p*d + 16 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.1. Let n = -0.3 - h. Let s be (-2)\/(-10)*(-35)\/(-42). Which is the third smallest value? (a) 2\/13 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g - 4*l - 4164, 3*g = 3*l + 12528. Calculate the greatest common factor of 114 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c. Suppose -3*v - 4*r - 19 = -0*r, 5*v = -3*r - 17. Let j be -1 - (-17 + 0\/v). Let f(n) = -2 + 14*n - j*n + 13*n. Give f(y(l)).\nAnswer: -22*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - w**2 + 0*w**2)*(-180*w + 134*w - 297*w) + 4*w**3 + w**3 - 4*w**3.\nAnswer: 344*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + g**2 - g + 269. Let a be c(0). Let j = 286 - a. Let n be 4\/2 - -68 - 2. Calculate the greatest common divisor of n and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Let v = -42 - -43. Sort -1, j, v.\nAnswer: -1, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-24)\/(-5760)*20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(17) + -1 + sqrt(17) + -5.\nAnswer: -3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913043?\nAnswer: 31, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 8*g + 4. Give y(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -93. Let v be (-1 - -1)\/((-2)\/(-1)). Which is the third smallest value? (a) v (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001598653 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(226\/10848).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 433*u + 48. Let t(h) = -434*h - 39. What is 4*d(b) + 5*t(b)?\nAnswer: -438*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -18322.9703 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3755, -4229, -4703, -5177, -5651?\nAnswer: -6125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3255467 (base 10) to base 7\nAnswer: -36446105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -26. Let l = 7 - i. What is the remainder when l*-3*(-52)\/12 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -14*d**5\/5 - 3*d - 11. Differentiate f(l) with respect to l.\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.1 (c) 1.2 (d) -5 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 + -136. Which is the smallest value? (a) -1 (b) y (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + 0*h**4 + h**4)*(-h + 2 - 2) + 7*h**5 - 3 + 3 - 5*h**5 + 4*h**5 + 3*h**5 - 35*h**5 - 51*h**5 + h**5.\nAnswer: -78*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(-3 + (sqrt(144)\/sqrt(4))\/sqrt(12)).\nAnswer: -48 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -601, -1388, -2499, -3940, -5717?\nAnswer: -7836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 10, 5, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 58 - ((6 - (-1 + 0)) + -6). Calculate the greatest common divisor of 475 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 11:07 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80275 and 5408?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-176)\/(-12) - 4\/(-12). Let k be ((-4)\/((-40)\/w))\/((-1)\/2). Let t be 5\/((-9)\/k + -2). Solve 5*h = 5*d, -4*d - t*h = -4*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -28. Let l(j) = j**3 + 29*j**2 + j + 36. Let z be l(g). Solve 0 = -3*x + z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2294, 4, -99 in decreasing order.\nAnswer: 2294, 4, -4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -ab?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 4*w - 6 in the form u*w + y and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3*q + 4*q)*(3 - 1 - 1) - 3*q + 2*q + 2*q + 29*q + 41*q - 19*q.\nAnswer: 50*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (93\/15 + -3)*115. Suppose 0 = -4*g - 0*g + r. Suppose -2*m + 30 = -g. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193 + -92. Let o = 239 - r. Suppose 2*u = 5*u - o. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -ea053d?\nAnswer: ea0537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1)\/(-4 + 3). Let k = 9 - b. Calculate the smallest common multiple of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1209 - 4) + (-24 - -11) is divided by 394.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 115 - 143 - p**2.\nAnswer: -p**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4, 8*a = 9*a + 5*r - 2267. Suppose -14*i = -a - 845. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53320 divided by -310\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.12, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 9*k - 14*k + 40, 4*o + 7*k = 53 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -210*h + 208*h. Let w(j) = 9*j**3 - j**2 + 1. What is w(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-1 - -6))\/1. Suppose c = -35*g + 30*g + 10. Solve -6*h + 12 = -g*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/4 - 2792*k**2 + 7767269*k + 156464180 = 0.\nAnswer: -20, 5594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197.82 - 193. Round q to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*a**2*l**3 - 13*a**2 + 27*a*l - 6*a - 1668*l**2 + 12 wrt l?\nAnswer: 180*a**2*l - 3336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, i: 2, x: 5}. Give prob of picking 1 x and 1 i.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 86514 + -2206?\nAnswer: 8430a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, r: 5, f: 4}. Give prob of picking 3 f.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:42 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8436, -11, 1 in ascending order.\nAnswer: -8436, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 + -81. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wws when three letters picked without replacement from ggwhwwgggwwwwwws?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 10\/3. Let z = -40 + 35. Let q = -10 - -6. Which is the closest to d? (a) q (b) z (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n - 30 = 39*n. Suppose -n*m - 15 = -0*m, -4*m - 47 = -3*x. Solve -5*y + x*y + 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*k + 191 = -1909, 3*u - 3*k + 1254 = 0. Let v = u + 423. Solve 0 = v*l - l - 2*h - 16, 0 = -4*h - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45261107 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*a - v - 64 + 117, 4*a - 2*v + 34 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -3*q**5\/20 - 7*q**4\/8 + 6*q**3 + 1704*q**2. Let u(s) = -2*s**2 - 5*s + 9. Calculate -5*i(n) + 21*u(n).\nAnswer: 3*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047156828 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 64757281151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 10 + -1 - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**2 + 5*i**3 - 2*i**4 + 6*i**4 + 2438 - 2438 - 153*i**2 to the form p + m*i**2 + k*i**3 + w*i + x*i**4 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/6 and 89\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 0 (c) -23 (d) 19\/3 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-176)\/(-55) - 6) + 105\/(-25) + 5. Which is the third smallest value? (a) -0.032 (b) 0.4 (c) -4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 12:21 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -8. What is the lowest common multiple of 4 and t\/6 + (-57)\/(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.07. Let w = -0.24 - -0.41. Let n = l - w. Which is the biggest value? (a) n (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156.4 + 156.46. Which is the nearest to -2\/7? (a) g (b) 0.5 (c) 46 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -21. Let y = h - -26. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 63*h**2 + 4*h + 320. Does 21 divide q(-61)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49\/2 + 26. Suppose 256 - 31 = 9*t. Suppose -5*u = 4*v + v - t, -2*v + 7 = -u. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -522*k**3 - 5*k**2 - 8*k. Let x be u(-2). Suppose 5*f = -4*d + x, -3*d + 3094 = -47*f + 42*f. What are the prime factors of d?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 87*t**2 - 7*t + 15. Is f(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(8\/12 + -1*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8361231.4 rounded to the nearest 1000?\nAnswer: -8361000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13\/(d**(-5)*d))**9 assuming d is positive.\nAnswer: d**153","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 + 10*n**2 - 19*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 80954.\nAnswer: 80953.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 368375238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8*p + 2 - 4.\nAnswer: 8*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*x = 12, -3*x + x = -2*n + 8. Find the third derivative of -5*k**3 - k**2 - 2*k**3 + 4*k**2 + n*k**3 wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.34 + -0.3. Let p = f + 0.26. Which is the nearest to 0.1? (a) 2\/5 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (8 - 7) - (3 - -8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**4\/4 + 4*h**3\/3 + h**2\/2 - h - 2. Let j = -20 + 24. What is q(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2164421833 and 154221?\nAnswer: 2164576054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3112, -5, -66.\nAnswer: -3112, -66, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:08 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*p + q, 32 = -2*p + 5*q + 10. Let a(r) = r**2 - 1. Let l be a(-1). Solve p*d = 4*h + 16, l = 3*h - 8*h - d + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70 and 1.8?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -1 + sqrt(75) + -1*sqrt(75) - (sqrt(75) + (-4 + sqrt(75)*1 + sqrt(75))**2)) + 1.\nAnswer: -316 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l + 3*x - 10 = 0, 3*x = -l + 2. Let w be l\/(-4) + 61\/2. What is the highest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1951 - -60. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 - -0.04. Which is the biggest value? (a) -8 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -47\/50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-81*1\/2. Suppose 2*z + 290 = 4*j, 2*z + 138 + 152 = 2*j. Let p = h - z. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 5. Let r(f) = -4*f**2 - 6. Let n(x) = -5*l(x) - 4*r(x). Let u be n(-1). Suppose u = -2*z - 6*j + 4*j + 26, -4*j = 16. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5655 - 5654.9. Let v = -0.02 + -0.01. Is c less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddltlhldlljijdtldiji. Give prob of sequence idj.\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x + 6549 = -1369*x + 531*x - 1296*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698055 is divided by 2177?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 15\/20119793?\nAnswer: 15\/20119793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1176\/189 + 2\/(-9). Let 37*k**3 + 34*k**3 - 5*k**2 + 30*k**3 - r*k - 127*k**3 + 27*k**3 = 0. Calculate k.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1278*l**2 + 4*l - 2. Let n(j) = 3835*j**2 + 14*j - 7. Let v(p) = 2*n(p) - 7*t(p). Let k(b) = -b**2. Give v(k(q)).\nAnswer: -1276*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 1\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 12*q**4 + 69684*q**3 - 69682*q**3 - q - q + 4*q to t + j*q**4 + k*q + s*q**3 + y*q**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31106\/3 + 9176363\/885. What is the common denominator of 143\/354 and c?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 228915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + (-16 - 1) + 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**2\/2 - 14*g - 9. Let j be a(5). Find the common denominator of -71\/4 and (-3)\/j*-57*2\/(-64).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4744 - -4743.96. Let n = 3 - 6. Which is the fourth biggest value? (a) v (b) 0.4 (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 divided by 264.\nAnswer: -107\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-195)\/(-104)))\/((-4)\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -18*q**2 - 18*q - 6. Let t(z) = 53*z**2 + 46*z + 18. Let x(p) = 3*t(p) + 8*v(p). Let k(l) = l - 1. Calculate -6*k(w) - x(w).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - d - 191, -144 = -2*l + 4*d. Suppose -5*a = -l + 37. Calculate the remainder when (-21*1)\/(3\/(-2)) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.358511 plus -18?\nAnswer: -18.358511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 2262102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/2 - 418309*i**3\/2 + 627470*i**2 + 836618*i - 2509872 = 0.\nAnswer: -418312, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*y + 134, 8 + 48 = 2*z + 3*y. Let g = -49 + 204. What is the highest common factor of z and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46273.2 rounded to the nearest one hundred?\nAnswer: -46300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**2*x + 3745942*u**2 - 985749*x**3 wrt x.\nAnswer: -u**2 - 2957247*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 + 85. Solve 11*t - 13*t + 10 = f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1320\/(-135) - -15) + (-1 - 4). Put n, 4, 6\/17 in descending order.\nAnswer: 4, 6\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3011.1609, 2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8413\/70 - 828\/7. Let h be (40\/(-15))\/((-2)\/27). What is the common denominator of (-3 + 1)\/(h\/(-133)) and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 684, 1363, 2040, 2715, 3388?\n\"Answer: -p**2 + 682*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-16)\/(-42))*72\/54. Calculate the common denominator of (-6 - -62)\/8 - k and 23\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*d + 43*d = -360 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 48 = 17. Let r = 23 + x. Find the second derivative of -7*h + 11*h + r*h**3 + 0*h wrt h.\nAnswer: 108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -494 divided by 249\nAnswer: -494\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28516*w - 28516*w - 15*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 45) + 5 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -328 + -301?\nAnswer: -629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39684 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 60 = 5*m + 1, 367*g + 401*g - 766*g - 22 = -4*m for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + a. Let l(u) = 5*u**3 - 10*u**2 + 55*u - 20. Let g(w) = 15*i(w) - l(w). Suppose g(k) = 0. Calculate k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/11 - -113\/55. Let u be (2\/(-63)*9)\/((-20)\/28). Which is the closest to h? (a) 0.3 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 47, 3\/2, -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1083.6 and -0.2.\nAnswer: 1083.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23573*v + 70736*v - 23647*v - 23592*v.\nAnswer: -76*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 41308848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 101.82433 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 9*n + 8 - 2 - 7. Let f be x(-5). Solve -f*y - 3 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6061182290.\nAnswer: 2, 5, 53, 103, 111031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/20942 and 77\/2830?\nAnswer: 104710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/4*(1 + 66\/(-42)). Put -14, m, 2\/3, -10 in ascending order.\nAnswer: -14, -10, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.4832 - -7.98. Let p = v - -0.53799. Let b = 0.0387 - p. Round b to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 3*u**2 + 4*u**2)*(3 - 3 + 2*u**3) + (4*u + 0*u - 3*u)*(-u**4 + 0 + 0) - u**5 + 2 - 2 + 5*u**2 - 2*u**5 - 5*u**2 + 11*u**5 + 12*u**5 - 18*u**5.\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:01 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/75, -5, -2\/5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from bzozy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3377 (base 15) to base 6.\nAnswer: -122304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61547890 to the power of 1\/2, to the nearest integer?\nAnswer: 7845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p - 150. Let s be -43*((-2)\/(-2))\/1. Let g = p - s. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 57*y + 59. Let k be v(-58). Is 2\/3217 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-218)\/436 + 68\/104. What is the closest to 0.8 in 0.01, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85747.63 tonnes in kilograms?\nAnswer: 85747630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-12) - 1179\/(-12). Let z = d - 61. What is the remainder when 145 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 670 = 806. Calculate the highest common divisor of k and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57982.27 nanometers in millimeters?\nAnswer: 0.05798227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47416?\nAnswer: 2, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 1. Suppose 0 = 3*l - 13 - 5. Let u be p(l). What is the second derivative of -16*n**5 + 0*n + 11*n**u + 3*n wrt n?\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 + 8*c**2. Let s(y) = 2*y**3 - 2*y**3 + 3*y**2 + 2*y**3. Suppose 0 = -125*t + 113*t + 36. Determine t*l(g) - 8*s(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 19*c - 218. What is w(-9)?\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(-3)\/(-6)*2\/(-45). What is the third smallest value in 0.4, -5\/3, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 38 - 22 - 140*a + 129*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 1152\/((-4)\/1). Calculate the common denominator of 250\/(-72) + (-2)\/6 and d\/15 - -3 - 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*h + 235909 = 132*h - 193091. What is the remainder when h is divided by 109?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4085 is divided by 194?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114396*a*b**3*u + a*b**3 + 3*a*b*u - 8*a*b + a*u - a + 16*b**3*u + 7022*b wrt b?\nAnswer: -686376*a*b*u + 6*a*b + 96*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 7:57 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426 (base 10) to base 12.\nAnswer: -2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17775 + -16735. Calculate the least common multiple of h and 2288.\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 4*q - 12*q**3 + 5*q - 9*q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -8.9, -15760?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -13 in increasing order.\nAnswer: -13, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2)*103\/(-206)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + y - 8. Let h(n) = 51*n**2 - 24*n + 192. Let l(b) = 3*h(b) + 72*v(b). Let g(o) = -6*o**2 + 7. Give g(l(j)).\nAnswer: -486*j**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 172 + 178 = 0. Let l be w\/4 - (-187)\/68. Solve -l*r + 4 = 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -38, 9, 42, 55, 42, -3?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x + 211*x = -1649 - 7 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -194 - -239. Calculate the remainder when 165 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-232) - (-342)\/87. Suppose -t + 65 = -6*t. Let s = -1 - t. What is the highest common divisor of s and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1259 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - 46 + 13 + 33 - 42*y in the form w*y + h*y**2 + u and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 3*t - 221 = 0, 0 = 4*j - t - 477. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 483?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c - 2. Let i be b(-6). Let h = i - 28. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1713.39ng?\nAnswer: 1.71339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*x**3 - x**3 - 228*x**3 + (0*x - x + 4 - 2)*(-2*x**2 - 2*x**2 + 5*x**2).\nAnswer: -301*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627086 divided by 6.\nAnswer: 313543\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1068, -8613, -29100, -69003, -134796?\nAnswer: -232953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 3 - 27 - 31 + 12*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1793269, -7173090, -16139461, -28692382, -44831853?\nAnswer: -64557874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-840)\/(-175))\/(1972\/290)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkw when three letters picked without replacement from knwknwnn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9655528 centuries?\nAnswer: 1158.66336","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-303)\/(-707)*6\/(-54).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -339.9 - -340. Let o = -39 - -38.8. What is the second biggest value in -1, 15, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134526152 (base 7) in base 3?\nAnswer: 121112221020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 32*k**2 - 38 - 30*k**2 + 322 + 60 as u + w*k + s*k**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -580 + 569. Let l(o) = -o**3 - 10*o**2 + o - 126. Let d be l(r). Let h(w) = w**3 + 15*w**2 - 16*w + 10. What is h(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 1\/14*z**7 - 9\/2*z**2 + 1\/2*z**3 - 3\/10*z**6 + 3\/2*z**4 - 8*z + 0 - 3\/10*z**5. Solve c(q) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069057186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6970938 is divided by 1234?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3378029 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**(-1\/8))\/d))**(-34)*d**5*d*(d\/(d\/((d\/((d\/((d\/(d*d**(4\/7)*d))\/d))\/d))\/d)))\/d)**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130278377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -37. Solve -u*o - 17 = o + 4*p, -o + 26 = -5*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**3 + 361*v**2 - 2*v - 26677 wrt v.\nAnswer: 6*v**2 + 722*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*f - 5, -2*a + 2*f = -58. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*d - 1 - 6*d**3 - 5 - 36*d + 5 to z*d**3 + j + n*d**2 + o*d and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 427*n**3 + 14*n**2 + 7*n - 214. Let q(g) = -213*g**3 - 8*g**2 - 4*g + 107. Let j(u) = -4*l(u) - 7*q(u). Find the first derivative of j(w) wrt w.\nAnswer: -651*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csc when three letters picked without replacement from scsssssssssssssssc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3287410 divided by 7\nAnswer: -469630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) 0.1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*d - 7, -13 = -5*d - 3. Let c be ((-35)\/20)\/(q\/240). Let w = -974\/7 - c. Find the common denominator of 47\/11 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446 (base 7) in base 11?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**2 + 82915*p - 1078740 = 0.\nAnswer: -16596, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-168)\/18 + 6)\/((-2)\/3). Suppose c - 5*b = 110, 2*c = 3*c + z*b - 60. List the prime factors of c.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108986286?\nAnswer: 2, 11, 1303, 73571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -55. What is the closest to t in 4, 3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1802.69 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**41\/v)\/(((v**(-16)\/v*v)\/v)\/v)*v**(12\/5)\/v**(-2\/23) assuming v is positive.\nAnswer: v**(6956\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/226 and 91\/18.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vdyyaavaadavvavadd?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -51*g - 187. Does 7 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mamnpaammnmam. What is prob of sequence mama?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*h + 4, -6 - 27 = -4*r + h. Suppose -4*g - 3*k + 31 = 0, 4*g - r*k + 3*k = -4. Put 3, g, 2 in increasing order.\nAnswer: 2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3) - 6110\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-1 + (7 - 5). Suppose d*u + 6*u = 1590. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/9)\/((-4)\/24). Suppose 9*o = 387 - 270. Sort o, b, -4 in descending order.\nAnswer: o, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1600 (b) 2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 - -444. Suppose 4*i + g - 295 = 536, 3*i - j = g. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -5310?\nAnswer: -5307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2906.\nAnswer: 29060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217 + -154. Let v(b) = -b**3 - 4*b**2 - 4*b. Calculate the remainder when h is divided by v(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2382875934875\/1584 - -13524611641\/9. Let q = 1606265 + m. Let v = q - 246\/11. What is the common denominator of v and -119\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (387 - 366 - (7 + -2 + 1) - 4) + -27\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/150)\/(-9)*5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005857?\nAnswer: 31, 71, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 443363215 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vveqzvqavaqabqvvq. What is prob of sequence bqaq?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-48))\/((-90)\/48)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35123911783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/106308 and -53\/354360?\nAnswer: 1063080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2329 (b) 16 (c) -1\/5 (d) -0.5 (e) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -641915.5 to the nearest ten thousand.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort -184192, 3, 1\/6.\nAnswer: -184192, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 57 + 43?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1152) + 5*(sqrt(1152) + 0) + -5*(sqrt(1152) + 1) + -5)*-3)**2.\nAnswer: -45072 + 17280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 2194442339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-3)*1 + -1. Suppose 4*r = 3*m + d - 1, -2*r - 6 = 0. What is the units digit of m\/(-10)*8\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 218350*m - 2383836125.\nAnswer: -5*(m - 21835)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f**2. Let g be r(1). Suppose 0*z + z - 307 = 5*c, -2*c + 614 = g*z. What is the remainder when z is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:17 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = -0. Let s = 547 - 547. Is 594\/11 + (s - i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.470029225 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(27) + 2 - sqrt(6)\/(sqrt(2) + -6*sqrt(8)\/sqrt(4)).\nAnswer: 4 + 16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*d**3*f*v - 4632*d**3*f - 2*d**3*v - 11*d**3 + d**2*v - 31080*v + 2 wrt f?\nAnswer: -46*d**3*v - 4632*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 27*x - x**2 - 34*x - 3 - 1. Let s(k) be the first derivative of k**3\/3 - 7*k**2\/2 - 6*k + 1. Let r be s(7). Give z(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 459*m - 156*m + 872*m**3 - 150*m - 4*m**2 + 2*m**2 - 155*m in the form z*m**3 + t*m + i + h*m**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1140350 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 2*l + 30. Let b(w) = -w**2 + 2*w + 2. Let j(n) = -6*b(n) - f(n). Calculate the remainder when j(-4) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6983\/1860 - -2\/465. Let c = 140\/3 - 947\/21. Find the common denominator of f and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 25751 = -89753 - 66864. What are the prime factors of v?\nAnswer: 2, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 28. Suppose 0 = -2*h, 5*h + 741 = -c*u + 5201. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxuikr. What is prob of picking 1 z, 1 i, 1 u, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261694 is divided by 464.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/28)\/((-8)\/(-28)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbjbb. Give prob of picking 2 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-2)*-1)\/(-2). Solve -5*p - 3*b = 2*b + 15, -3*p + 5*b - 9 = u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmmm when four letters picked without replacement from {m: 4, q: 2, z: 8}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*t**4 - 9622722*t**3 - 3227570*t**2 + 2*t wrt t?\nAnswer: -216*t - 57736332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 375 - 745 + 1397*n - 365*n + 370 to j*n + z and give j.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 7:56 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**2 - 17*x - 14. Determine r(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feeeffffzefeffgf. Give prob of sequence fzge.\nAnswer: 3\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3185742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693.9472m to millimeters.\nAnswer: 693947.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h + 76 = 0. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = -3*r + u, -4*r - 9 = 3*u. Let l = r + 5. Let d be (1 - -2)*(-50)\/(-3). What is the greatest common divisor of d and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56.5 and -0.08.\nAnswer: 4.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) + 312\/(-14). Let o = -4 - y. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/(28\/(-16)) - 2) + 2. Let h = z + -4. What is the nearest to h in 1.5, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**21\/l)\/(l*l\/(l\/(l**(-11\/3)\/l))) assuming l is positive.\nAnswer: l**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 4*j**3\/3 - 5*j**2 + j. Is m(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7983592 divided by 3991796?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 545523545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337 is divided by 329?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t + 3*x + 46 = 0, 15 = -3*x. Let b = 34 - t. Suppose b*z - 327 = 3*p, z - 45 = 3*p + 62. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 11 (c) -2\/27 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 14, x: 5}. What is prob of sequence xxh?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b97 (base 14) in base 5?\nAnswer: -130113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/24 - (-3)\/9)*0. Which is greater: -10\/147 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - p - 6 = 5, -p - 9 = -3*w. Suppose n + 40 = 2*m, -3*n - 18 = -m - w*n. Suppose -m + 66 = 4*d. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0982, -0.4, -1\/3, -0.3?\nAnswer: 0.0982","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -488.2842082 to one dp.\nAnswer: -488.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**6\/(d**(-10)*d)*(d*d**(1\/5)\/d)**15 assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 2. Let y = -1 + 4. Give h(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*w**2 - 22*w + 22*w in the form k + x*w + s*w**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*5\/(-270)*13888\/(-1240).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61213\/6 + 10191. Let k = -12289\/2140 + -4\/535. Find the common denominator of b and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10318\/185724*1278*1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 2, -3, -5, 47 in descending order.\nAnswer: 47, 2, -3, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 227 = -2*o, 0 = 5*o + s + 571. Suppose -x = -b + 24, 0*x + 25 = 5*x. Calculate the remainder when b is divided by o\/22 - -5 - (-600)\/33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 598808.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031793526 a multiple of 2703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 3*g - 3, 5*g + 0 = f - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 11:56 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-1)\/(-2))\/(221\/51782). Let v = 117 + w. Let q = -2.4 - -1.4. Which is the biggest value? (a) v (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 260.396 - 6105.\nAnswer: -5844.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76123206 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11181527*f**2 + 4 - 11181494*f**2 - 3 - 1.\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -55.740554302?\nAnswer: 55.540554302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17974047?\nAnswer: 3, 7, 13, 65839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.003 + -36. Let y = d + 0.097. Which is the nearest to y? (a) 0.3 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/149 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4122 or -3979?\nAnswer: -4122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 3840\nAnswer: 1\/640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n - 8. Suppose 50*v - 80 = 170. Sort -5, v, n, 7.\nAnswer: -5, n, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -1\/54*j**4 + 2*j + 0 + 2\/27*j**3 - 1\/9*j**2. Find r such that z(r) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*-4*6\/48. Suppose d = 154*s - 157*s. Solve t - 20 = 4*h, -3*t = h - s*t + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rggrrtrgggtr. Give prob of picking 4 g.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 3*s**2 + 13*s - 12. Let x be l(5). Let m be 2\/(-8) - 50\/(-8). Solve 2*a - 19 = -5*b + a, -2*b = -x*a + m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229952, -229947, -229942?\nAnswer: -229937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 7*s**4\/24 + 2104*s**2. Let o(i) = -721*i. What is q(o(f))?\nAnswer: -5047*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*d - 1 + 8 - 13 + 5 + 1.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 997197599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.07 (b) -2\/89 (c) 8 (d) -20\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2589016 is divided by 11405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8230 (base 9) to base 11.\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 100011001?\nAnswer: 100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + o + 0*o)*(-6*o + o + 8*o) as x + f*o + s*o**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000057 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13419 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4678309.6 rounded to the nearest 1000?\nAnswer: -4678000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81 in 2\/13, 2, -4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -126416.47\nAnswer: -252832.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 - -96. Let p = -153 - -215. Calculate the remainder when p is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0*f**7 + 0 + 0*f**6 + 13\/56*f**8 + 0*f**3 + 0*f**5 + 9*f + 1\/3*f**4 + 0*f**2. Find the third derivative of h(m) wrt m.\nAnswer: 1560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (259\/(-2) + -5)*-2.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 - 378*c + 100152\/7.\nAnswer: 2*(c - 1284)*(c - 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6\/r)\/r*r**6*r)**(-20) assuming r is positive.\nAnswer: r**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 2*h - 2. Let p be i(-2). Let w = p + -1. Which is greater: 7 or w?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203 - 198. Suppose 4*k - v*w = 671, -3*w = 3*k - 0*w - 483. What are the prime factors of k?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 8580 + 952 = -993. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, y: 1, l: 1, d: 1}. What is prob of picking 1 t and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1524 + 8697 = 3*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (36\/17 - 1). Let i = 9.1 - 8.6. Which is the nearest to 0.4? (a) -0.3 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + 2 + sqrt(252)*-3) - sqrt(252)) + sqrt(252) + -5 + sqrt(252)*-3)**2 + 1*(4 + 2 + sqrt(252) + -3).\nAnswer: 6*sqrt(7) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4324 (base 7) to base 8\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-7)*4851\/22.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*g + 6 + 1, 0 = 4*f - g - 5. Let n = -2.2 + -1.35. Let v = n + 113.55. Is v smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40910 + -27110. What is x rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -7. Let s be (d\/(-5))\/(2\/10). Let x be 1\/4 + 8 + 68\/(-16). Solve -x = u, q = s*u - 0*u + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:12 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9 - 5*n**2 + 3*n**2 - n**3 + n + 12 - 7. Calculate t(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 76e - -12?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 l when three letters picked without replacement from {s: 2, l: 1, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-5)\/(-66))*-25. What is the greatest common factor of y and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430062080 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0797829061 to 4 dps.\nAnswer: -0.0798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4294*u + 2*o + 21 = 4289*u, -15*u = -60*o - 465 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/15)\/((-6)\/1815)*302\/(60400\/(-300)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52700 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.9 (b) 16 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*30\/(-100)*5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 24) + (-6 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -16*q + 14*q + 16415, -3*q + 24 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**(-2\/9) assuming s is positive.\nAnswer: s**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 484, 477, 456, 415, 348, 249, 112, -69?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 629 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 12*l**7\/35 - l**6\/4 + l**5\/20 - 2*l**2 + 33. Suppose w(y) = 0. What is y?\nAnswer: 0, 1\/6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, v: 2, e: 1}. What is prob of picking 1 n and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 10\/3*c**3 + 23\/2*c**2 + 0 - 10*c. What is the first derivative of p(u) wrt u?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 8*r - 300. Let n be m(0). Let x = -243 - n. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -7. Find the common denominator of 25\/2 and (-1)\/a*(-408)\/80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1999659 plus 0.015?\nAnswer: -1999658.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 7*a**2 + 6*a + 14. Suppose -4*s = -3*s + 3*r - 19, -5*s + 2*r + 27 = 0. What are the prime factors of b(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 0*i**2 - 23 + i**2 + 65.\nAnswer: i**2 + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9216892*u + 16345*u**3 + 9216892*u.\nAnswer: 16345*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-20)\/(-12))\/((-8)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143335627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1212352 + -14560133\/12. Let m = a - -993. Calculate the common denominator of m and (-3)\/(-12) - 20\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 4*d**2 - d**3 + d**2 - 3*d**2 in the form m*d**3 + g + o*d + t*d**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = w - n - 11, 5*w + 3*n - 89 = 0. Solve -14 = w*u - 52 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*u + 14 = 0, -5*s = -u - 4*u - 130. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.317 and 1.53921.\nAnswer: 1.85621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(0 + 6 - 2)*(-8*w - 4*w + 5*w)*(2*w - 2*w**3 - 2*w).\nAnswer: -112*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - f = 9, -4*f + 6 = 2*u - 2*f. Solve -7*k = -4*s - 6*k - 14, 0 = -u*k + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -8, 3*f - t + 14 = -6*t. Suppose 5*h = -5*d + 330, 2*d + 126 = f*h + 10. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 349*h**2*z - 4476078*h**2 - 363*h*z - z**2 wrt z.\nAnswer: 349*h**2 - 363*h - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 1326*f**3 - 564852*f**2 - 67249378*f + 4294979685.\nAnswer: -(f - 45)*(f + 457)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvv when three letters picked without replacement from ubvbjjuvvbjubbjbj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 5*c**2 + 16*c + 46. Calculate u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l*o**4*q + 3547*l*o**4 + l*q - 398*l - 2 wrt o?\nAnswer: -4*l*o**3*q + 14188*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033918182 to five dps.\nAnswer: 0.03392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4009*u + 4*u + 3284*u + 585*u.\nAnswer: 7882*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2166*d**2 + 49 + 793 - 2167*d**2 + (1 - 1 + d**2)*(-1 - 2 - 1) to the form f*d**2 + r*d + t and give t.\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 22*g + 5 = 0, -g = -2*u + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.3 + 51. Which is the nearest to 0.4? (a) w (b) 4\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(28))\/(sqrt(72)\/sqrt(96)) - ((sqrt(242)*-1*-4)**2 + 3).\nAnswer: -3875 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19068 (base 12) in base 2?\nAnswer: 1000111000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*x + 6 - 1, 0 = j - x + 3. Let d(t) = -2*t**3 - 2*t**2 - 14. Let q(b) = b**3 + b**2 + 9. Suppose 38*s = 59*s + 168. Determine j*d(u) + s*q(u).\nAnswer: 2*u**3 + 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -100, -1, 10, 15 in descending order.\nAnswer: 15, 10, -1, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2101 or 2098?\nAnswer: 2101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, -0.00129, -5, 1 in descending order.\nAnswer: 1, -0.00129, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 2*f + 12. Does 14 divide g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in 1.6, -3, -5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2*z - 1, -3*z + 15 = 4*i - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*h = -25*h + 235 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -32.\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 1. What is l(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.71676\nAnswer: -2.86704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 6*q - 4*q**2 - q + 6*q - 3*q - 6. Let p be u(-6). Solve 4*a + p = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 1, g: 1, w: 1, n: 2, h: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.86 <= 0.002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-18))\/(17\/(-153))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 = 5*f - 217. Suppose 0 = -4*c + 46 - f. Let s = c + 70. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000565464 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) + 62\/(-108). Let v = 1857\/5 - 371. Which is the third smallest value? (a) v (b) 2\/11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272 - -160. Let y = 2490592 + -2490480.0051. Let o = x + y. Round o to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2. Let a(k) = 2*k - 2. Suppose -20 = -2*r + 4*t, 6*r - 2*t - 18 = r. Let f(b) = b**2 + 11*b - 11. Let i(p) = r*f(p) - 11*a(p). What is i(z(x))?\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*q - 86. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/2272 or 0?\nAnswer: -33\/2272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 55506200.4s?\nAnswer: 91.776125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*54\/(648\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndddddddnplddddq. What is prob of sequence np?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 15*l + 199. Let p be g(-13). Suppose -3*w = -p*o - 62, -3*w + 108 = 2*w - 2*o. Calculate the remainder when 60 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-472)\/(-122366)*((-340)\/(-8))\/5\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37596 + 104?\nAnswer: -37492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 17, 41, 85, 155, 257, 397?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 3, y: 2, b: 2, x: 2}. Give prob of sequence bxx.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11649 and -21.\nAnswer: 11628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6122.998l to millilitres.\nAnswer: 6122998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 5*d - 2. Determine k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 254456 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*f**2 - 1418741*f**3 + 40*f**2 - 126*f**2 + 47*f**2.\nAnswer: -1418741*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1543 + 2189. Is 38 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x + 11*x)*(0 + 22 + 13).\nAnswer: 420*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 27 = -2*f, 20*p - 5*f = -2*f - 2889 + 2948 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53*14.\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31618 and 7?\nAnswer: 221326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:16 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -1060\/11?\nAnswer: -1060\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 49, 43810, -0.3?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/59 and 37\/11.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 60\/(-8)*12\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 2995618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = 18. Let n be 3*(r\/(-9) - -2). Factor 2*k**3 + 5*k**4 + k**2 + 3*k**2 - 4*k**n - 3*k**2.\nAnswer: k**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u. Let a be s(-1). What is the second derivative of 5*h**5 - h - 2*h**a - 4*h wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a micrometer in nanometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11500588199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 35316?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**(-17)*z)*z*z\/(z*z**(-1\/18)*z) assuming z is positive.\nAnswer: z**(-323\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, v: 1}. Give prob of picking 2 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(22)\/sqrt(11))**2*6 - (sqrt(18)\/((sqrt(81) + sqrt(81) + sqrt(81)*1 + sqrt(81))\/sqrt(9)))**2.\nAnswer: -97\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -544. List the prime factors of y.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6336 + 95038\/15. Let d = 589\/4 + -148. What is the closest to 2 in d, h, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 6*w - 4. Let i be q(3). Sort -1, i, -3 in ascending order.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 - (88 - 11) - -54?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034452341 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, n: 2, r: 10, h: 1, m: 1, e: 1}. Give prob of sequence hh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38191230 divided by -15246.\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.17 (c) 3 (d) -0.3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (6*sqrt(162)*1 + sqrt(162) - sqrt(162)) - (-6*(-3 + sqrt(162) + sqrt(162)) + sqrt(162)))**2 + ((sqrt(162)*1*-6 + 1)*5)**2.\nAnswer: -4644*sqrt(2) + 151981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 15. What is f(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1084bd - 2?\nAnswer: -1084c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4555 + 2 - (-1 + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93173586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10823*u + 4600 = 11007*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -1\/16*t**4 + 1\/240*t**6 + 8*t**2 - 1\/6*t**3 + 0*t + 0 + 0*t**5. Determine l, given that u(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 55\/(-25) - (-1)\/5. Sort 1, l, -0.4 in decreasing order.\nAnswer: 1, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.39 + 1.39. Are 1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*b + 1821*b + 1846*b - 606*b + 1.\nAnswer: 3148*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*v + 8*v. Let g(o) be the second derivative of -1\/168*o**7 + 0 + 0*o**v - 1\/80*o**5 + 0*o**3 - 1\/60*o**6 + 0*o**2 + 6*o. Factor g(f).\nAnswer: -f**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4\/4 - 435*w**3\/4 - 861*w**2\/4 - 429*w\/4 = 0. What is w?\nAnswer: -143, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114)*-2 + sqrt(114)))\/(sqrt(24)*1) - (3 + sqrt(76) + 1 + 1).\nAnswer: -7*sqrt(19)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**3\/3 + r**2 - r + 9. Calculate x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719752 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - w - w + w - w - 5*w + 54 + w - 54 - 3 + 3 + 2*w - 4*w + w + 4*w + (-3 - 3 + 4)*(4 - 2*w - 4) to u + k*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**8\/84 + 2*x**7\/21 - x**6 + 10*x**5\/3 - 35*x**4\/6 + 6*x**3 + 41*x**2. Solve f(o) = 0 for o.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 14*f**2 - 15*f + 11. What is i(15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 168 - 16 = 0. Suppose -k*l + 21*l = 48. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d + 3*h - 6 = 0, 6 = -2*h. Solve 2*v = -v - 9, -19 = 4*i + d*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5779303105 to the power of 1\/5, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 0*x**2 + 0*x**6 - x**3 - 3 + 0*x**4 + 0*x**5 + 0*x + 2\/7*x**7. What is the third derivative of r(s) wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1202 - 1198. Solve 0 = -2*b - 3*z - 12, -z - 2*z - 12 = -l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185106 - 52217 = -73*q. What are the prime factors of q?\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + sqrt(1700)*-2 + 1 + -1)*3)**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 27853?\nAnswer: -27864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 2. Let y = -106 + 206. Let k = -104 + y. Put 5, b, k in increasing order.\nAnswer: b, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) -2 (d) 0.129 (e) -11 (f) 39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 268046 - 584128. Let k = -560082 - f. Round k to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62098 - -62097.9931346. What is o rounded to four dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**5 + 28316*g**2 - 1203326*g wrt g?\nAnswer: 80*g**3 + 56632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 + 11*n**2 + 2*n - 121. Calculate u(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7747 - -7749.5. Sort o, 0.3, -2\/13 in decreasing order.\nAnswer: o, 0.3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31244 (base 8) in base 2?\nAnswer: -11001010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 196?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c - 3 - 2*c**2 + 0*c**2 + 3*c**2. Let z be l(3). Is (-4)\/z - (-92)\/6 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = -0*a - a, -3*a = 5*f - 67. Solve z + q + a = -3*q, 0 = -5*z + q + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:22 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*i**2 - 38*i - 12 = 0. What is i?\nAnswer: -2, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1025279*i**3 - 8 - 2 - 1025397*i**3.\nAnswer: -118*i**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 minus 5.6121?\nAnswer: -5.5731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 19*x + 12*x + 10*x.\nAnswer: 41*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2314002 (base 6) to base 12\nAnswer: -58902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 384*v**2 - 1148*v**2 - 1 - 928*v**2.\nAnswer: -1692*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 45248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*i - 67 - 105, 4*i = 3*v - 176. Let m = v + -18. Suppose -41 = -c + m. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -872772 greater than 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 13*w + 30. Let d be (2*w\/12)\/(13\/(-8151)). Calculate 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 prob of sequence ruru when four letters picked without replacement from rauurqqqwiuu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12348 - -12344. Let u = -0.22 - -0.12. Let j be (-2)\/(-3) + -1 + 1. Which is the closest to u? (a) 5 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65627375 is divided by 3331.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2\/11, 2\/15 in decreasing order.\nAnswer: 1, 2\/11, 2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1982*s + 5888. What is f(3)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 201\/(-1206) + 146\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + m**2 + m + 62. What is the units digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*l - 1436 = -h, -2*h + 566 = -3*l. Let j be (-3)\/2 + h\/4. Let g = -50 + j. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -12 + 86*s - 39 + 36. Let l = 3 + 0. What is the hundreds digit of u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0229 + -0.1229. What is the second smallest value in 3, -5\/3, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 3*k + 5*k**3 - 2*k)*(-4*k - 2*k + 3*k) + (-k**3 - k**3 + k**3)*(-2*k + k - k).\nAnswer: -7*k**4 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -156, 46, 0, -5 in descending order.\nAnswer: 46, 0, -2, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342155 - -575334. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5 + 9069*s**4 + 20593410*s**3 + 143845666*s**2 + 308030973*s + 184769649 = 0.\nAnswer: -4531, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0.07, -187, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**3 + 4*j**2 + 8*j + 5. Let q be y(-5). Suppose i - q = -3*i. Let s = 270 - i. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 3 - 1*-3. Suppose -g*c + 4 = -3*c. Is (847\/(-14))\/(2\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*a**5\/5 - 404*a**4 + 8392*a**3 + 40400*a**2 + 47616*a + 36864\/5 = 0. Calculate a.\nAnswer: -2, -2\/11, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188 + -302. What are the prime factors of 6\/(-21) + p\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46760751 is divided by 113?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -739*v**3 - v**2 - 541*v.\nAnswer: -4434*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51 - (6 + -2 - (-4 + 7)). Suppose k = -3*u + 4*u. Let s = u - 32. What is the highest common factor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 0 + 1\/2*y**2 - 41*y + 5\/2*y**3. Let q(t) = -t. What is g(q(x))?\nAnswer: -15*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5 + 10*w**4 + 36*w**3 + 38*w**2 + 13*w = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from {t: 2, j: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 6*v + 11. Calculate y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*b - 2 = 0, -4*z + 4*b - 47 = -55 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1702)\/(-253) + -7 + 3\/(99\/174)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9)*(-9)\/(-24). Let i = 11808 - 11795. Which is greater: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*q - 355 - 469, 4*l = -5*q + 1097. Suppose 2*s - l = -t, 0 = -3*s + 8*s. Calculate the remainder when t is divided by 96.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 + 203132310?\nAnswer: 203133120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5233926 to the nearest integer?\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 14*j**2 - 126*j. Let l be q(9). Let v(k) = -2*k**2 + 19*k + 977. Is v(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82410777?\nAnswer: 3, 339139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 12, -26\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25929 + 13761 = -994*p - 329*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-1)\/sqrt(4) - ((1*sqrt(104))\/sqrt(8) + (-2*sqrt(104) + sqrt(104))\/sqrt(8))**2.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 17. Suppose 0 = l*f - 4*y - 180, -39 = 3*f + 3*y - 147. What is the highest common divisor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10608 and 2516.\nAnswer: 392496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 15\/6 + 8\/((-64)\/(-235284)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k. Let u(q) be the second derivative of q**4\/12 - 7*q**3\/3 + 8*q**2 - 2*q. Let g be u(13). Let l(n) = 8*n - 3*n - 5*n + g*n**2. Determine l(o(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*l = 310*l + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1587 - -2317. List the prime factors of i.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00432995 rounded to 5 dps?\nAnswer: 0.00433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose -n = 3*x + x - 20, 0 = -q*x + 12. Suppose 2*k + 1 = -8*a + 5*a, 3*a + n*k + 11 = 0. Calculate the highest common divisor of a and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 9*x**8\/448 + 3*x**7\/35 + 7*x**6\/160 - 3*x**5\/20 - x**4\/8 - x**2. Solve l(j) = 0.\nAnswer: -2, -1, -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3593 - 3593 - 3*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*u + 60*u - 27 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -10) + 28 + (-7 - 3) - 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -75*h**2 - 110*h - 255. Find the first derivative of w(t) wrt t.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -11. Let u be 1\/(-3) + (-311)\/c. List the prime factors of (u\/16)\/(2\/(-4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*x + 10 + 14 - 14)*(0*x**3 + x**3 + 5 - 3).\nAnswer: 13*x**4 + 10*x**3 + 26*x + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 8*n = -1216. What is the greatest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+-0.0284\nAnswer: -0.0384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x + 35 = 45*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6525 - 6529. Put -3, 2, 4, -5, d in decreasing order.\nAnswer: 4, 2, -3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 + 4319092*g - 8638168 = 0.\nAnswer: 2, 1079771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 934778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one eighths of a week?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*g - 440*g + 67*g + 2*g + 70*g.\nAnswer: -228*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839 = -r + 842 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-4 - -4) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 610\/5231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 854972*z + 11969599. Give p(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 49687?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -178\/3167 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/459587 and 11\/5671418.\nAnswer: 1366811738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -580 + 2335\/4. Which is smaller: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chznwvhw. What is prob of sequence hz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 770 (base 10) in base 9?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3671695, 7343379, 11015063, 14686747?\nAnswer: 18358431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p = 3*n - 150, 85 = 2*n - 3*p. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(68) + 3)**2 + sqrt(68)*1 + 4.\nAnswer: -58*sqrt(17) + 1713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*m + 28*m - 918 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*(sqrt(28) - -3*sqrt(56)\/sqrt(2) - sqrt(84)\/(sqrt(12)\/sqrt(4))))\/(-3*sqrt(28)\/(-3*sqrt(7)*-2)))**2.\nAnswer: -9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 226062093 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 12 = -2*z. Let q(t) = 15*t**2 - 3*t - 4. What is the least common multiple of q(-1) and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3453, -6736, -10001, -13242, -16453, -19628?\nAnswer: -22761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 8*p + 7. Let s(r) = -r**2 - 7*r + 9. Let d be s(2). What is w(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1, -4, -1934?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/13)*i\/i**(1\/5)*(i*i**2*i)\/i*i\/i**(6\/11))\/((i**(-3\/4)*i)\/(i\/((i*(i\/i**(-2))\/i)\/i)))**4 assuming i is positive.\nAnswer: i**(292\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 265932 a multiple of 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*r = -6, -18 = -3*a + 3*r - 0*r. Suppose 4*h + a = -h. Is 22 a factor of ((-7)\/14)\/(h\/74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.5. Let h(i) = 19*i + 26. Let p be h(1). Let u be (-16)\/(-9)*p\/(-180). What is the closest to x in u, -1, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 3*u**2 - 4 + 6*u**2 - 7*u**2 - 4*u**2 to the form q*u + l + c*u**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:11 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 101 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 44. Let f = r + -21. Let b = -89 - -97. What is the remainder when f is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 164 - 0?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -105\/2?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131404*f - 131443*f = -1599 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2 + 0 - p**2 + 1. Suppose -2 = 5*b - 17. Let o(j) = 2 - b + 4. What is -o(k) - 3*q(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 6*x - 10218 = -10170 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(((-2 + 1)\/1)\/2). What is the first derivative of -11 - 37*p**3 + 41*p**3 - 60*p**3 - g wrt p?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5 + 2610*w**4 - 52945*w**3 + 167700*w**2 + 1325520*w - 1442880 = 0. What is w?\nAnswer: -4, 1, 12, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 75011565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1454.9 - 1454.9. Is 222\/65 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/84)\/((-4)\/24))\/(454\/1589).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038093611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 - 2*h - 1. Suppose 12 = -2*i + 4*p, -3*p = 2*p. Let z be 4 - 0*i\/(-42). Calculate w(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2. Let y = -8 - -11. Suppose 4*a + j - y = 2*j, -2*a - 4*j = -24. Let o(c) = -a*c**2 + 7*c**2 - 11*c**2 + 9*c**2. Determine u(o(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 149773 (base 12) to base 16\nAnswer: 55107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/9)\/(-1)*(-66)\/176?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*k = 33, 0*w = -2*w + 4*k + 2. Let v be (7 - w)*3\/(-6). Solve v = -3*o - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 169033, 168961, 168871, 168763, 168637, 168493?\n\"Answer: -9*c**2 - 45*c + 169087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2270 (base 8) to base 14\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**8\/840 + o**6\/180 + 10*o**3\/3 - 30*o. Let a(r) be the second derivative of g(r). Let a(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667996167.\nAnswer: 3, 19, 347, 33773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.41+0.015331\nAnswer: 0.425331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)\/s**1*(s**2)**48 assuming s is positive.\nAnswer: s**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.281 - 0.462. What is z rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2. Let h(p) be the third derivative of -p**8\/2016 + 2*p**5\/15 + 9*p**2. Let m(a) be the third derivative of h(a). Determine m(w(z)).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + 40. Let b = a - 5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 8*u - 10. Let k be v(-7). Let a = k - -3. Solve -5*s + 5 = a, -h + 3*s = -0*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -6*c + 13*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-2))\/(-1 + 39\/42). Is 21 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 622 divided by 311\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 12:38 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-34)*(-510)\/(-60))\/(2\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5083031, 5083048, 5083065, 5083082, 5083099, 5083116?\n\"Answer: 17*t + 5083014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*q + 451*q = -4845*q + 78*q + 376655 for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 6*j + 18*j. Let q(u) be the third derivative of u**4\/12 + u**2. Determine t(q(x)).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2904274352 to the power of 1\/3, to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/39)\/c)\/((c*c*c*c**(2\/5)*c)\/c))\/(c**(-3\/8)\/(c\/(c*c\/(c**(-9\/5)*c)))) assuming c is positive.\nAnswer: c**(-9167\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 46598229.2 to the nearest one thousand.\nAnswer: 46598000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v. Suppose -x + 3 = 4. Let w be (x - 6\/(-9))*3. Sort w, v, 4.\nAnswer: w, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 19*l**2\/4.\nAnswer: l**2*(l - 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80798 - 21508 = 22*d. List the prime factors of d.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -777*z. Let y(p) = -6*p**2. Calculate k(y(t)).\nAnswer: 4662*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1770 times -4.3\nAnswer: 7611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 7*l**2 + 7*l + 7. Let z = 8159 - 8165. Calculate m(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*r + 7, 7*o + 11 = 2*o - r. Let j be (-3 + 4)\/((-1)\/o). Suppose 0 = -j*c + 8 + 30. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 589 (base 13) to base 10\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x**2 + 2*x**2 + 2*x**2)*(2 - 3 - 12)*(2*x - 2*x - 2*x**2).\nAnswer: -156*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-41 + (5 - -14))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (5 - 28)) + (-208)\/(-26).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1\/7, 2\/931, -1, 20?\nAnswer: 2\/931","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 equal to 214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7657418 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 341839355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 5:11 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 88*a**2 - 42. Let d(m) = -7. Calculate -2*d(f) + o(f).\nAnswer: 88*f**2 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) 0.1 (b) 5 (c) 4 (d) -1889.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Suppose 4*n = -0*m - 4*m - 128, -4*n + 4*m - 112 = 0. Let k be n\/18 + 2\/3. What is x(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 + 4*z - 7*z**3 - 96*z**2 - 165*z**2 + 4*z**3 - 2 to m*z**2 + d + p*z + u*z**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -173 + 88 + w**2 + 56. Let y(h) = 15*h - 2*h - 6*h - 2*h**2 - 7*h. Determine s(y(i)).\nAnswer: 4*i**4 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 50900 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20340 (base 5) to base 9\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y**5 - 5*y + 5*y + 1 + (-3*y + 2*y - y)*(y**4 - 2*y**4 + 0*y**4).\nAnswer: 10*y**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880414638 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - 43 - (-9 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93179*c**3 - 99303*c**3 + 192508*c**3.\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 289*w**2 - 61*w + 23974.\nAnswer: 578*w - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-14) - (-22)\/44. What is the closest to z in -1, 1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8230 plus -425303507?\nAnswer: -425295277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i, -z + 2*i = 2 - 4. Suppose -f + z - 6 = 3*a, 28 = 4*f + a. What is the units digit of -10 + f - (-11 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = n + x - 9, 0 = n - 4*x. Suppose v - 4 = -v, n*g - 5*v - 10 = 0. Suppose g*r - 374 = 3*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 294 = 38. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(-5 + sqrt(243) + (sqrt(243) + -1 + sqrt(243) - sqrt(243)) + sqrt(243) - sqrt(243))**2 + 5 + 5*-4*(sqrt(3) + -1)**2*-4.\nAnswer: -3707 + 704*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56939788?\nAnswer: 2, 1979, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*p = 32862, 0 = -5*x + 24*p - 20*p + 82125. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 p when four letters picked without replacement from ppppopoopppp?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1066*n = -1080*n + 70. Let o(c) be the first derivative of 12 - 5*c**2 + 5\/4*c**4 - 3*c**n + 0*c + 5\/6*c**6 + 5*c**3. Let o(s) = 0. Calculate s.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let j(f) = 5472*f - 8474*f + 5160*f. Determine i(j(a)).\nAnswer: -2158*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from fzsfjnv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 5068 and -0.23303.\nAnswer: 5067.76697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 9 + 29)*(0 + 4 - 1)*(-2*y**2 + 2*y**2 - y**3) - y**3 + 3*y**3 - y**3.\nAnswer: -128*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.811 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10956, 10954, 10950, 10944, 10936?\nAnswer: 10926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 461, 456, 451, 446, 441?\n\"Answer: -5*g + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5126 + 5126. What is the nearest to 5 in 3, d, -3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34695 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 16 = 2*o. Let b(l) = -3*l**2 + 96*l - 677. Let m be b(21). Solve -4*p = o*x - m, -6*x + 4*x + 8 = -p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -6.8, 1\/72, 1, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 - t - 9. Suppose -10*f + 5*f + 25 = 0. Suppose 60 = -f*j - 5*a, -21 = 2*j + 4*a + 13. Give d(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -2. Let v be d\/(6\/9) + 8. Solve -w - 1 = -3*q, q - v*w + 18 = -w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, 2\/7, -2\/15, 7446, -81?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -357693 + 708014?\nAnswer: 350321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 1. Let l(f) = 5*f + 16. What is -l(v) + 4*q(v)?\nAnswer: -v - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:32 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.154496nm?\nAnswer: 0.0000006154496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 29. Give y(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46082, -46089, -46100, -46115?\n\"Answer: -2*g**2 - g - 46079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29224 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36648 by 36.\nAnswer: -1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -166. Let f = r + -161. Solve f = n - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712 = -23*g + 19*g. Suppose 5*j = x - g - 36, -3*x + 727 = 2*j. Suppose 0 = y - 0*y - x. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/3 - ((-119)\/21 + 5). Suppose 8 = -2*v + 6*v. Sort v, y, -5 in decreasing order.\nAnswer: y, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 9:06 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let d = -1.1 + p. Let m = -0.1 - d. Sort m, -2\/5, 3 in descending order.\nAnswer: 3, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -1a049?\nAnswer: -1a046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 2, b: 9, r: 6, q: 1, w: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*q - 5*u + 14*u + 7, 4*q + 18 = 2*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + -4 - -2 - (-9 - 3088)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.2, -3, -143, 0, 0.2, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000892 rounded to 5 dps?\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 2*f**3 + 3*f**3 + (3*f**2 + 2*f**2 - 4*f**2)*(3*f + 0*f - 5*f) + (0*f + 4*f - 3*f)*(-2*f**2 + 3*f**2 - 2*f**2).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -4*h. Put h, 2, 5 in decreasing order.\nAnswer: 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**5 - 280*f**4 - 968*f**3 + 20560*f**2 - 65364*f + 60840 = 0. Calculate f.\nAnswer: -65, -13, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 33. What is o(14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*-3*-2)\/(sqrt(77)\/sqrt(44)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(47\/(27495\/520))*(2 + (-48)\/22)?\nAnswer: -27\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i - 95. Let o be d(-19). Solve x + 5*x - 4*x = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3919124 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 10*n - 15. Suppose -m + 0*m + 11 = 0. Let d be i(m). Let u(v) = v**2 + 4*v + 3. Give u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -31. Solve 2*u + 0 - 2 = q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (-2 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 61*l + 17. Let j be s(10). Solve j*t + t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 - z**4\/12 - z**3\/6 + z**2. Let t be s(-1). Find the second derivative of -2*m - m + t*m - 2*m**5 - m**5 wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -250442622?\nAnswer: -250442622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -96*y + 494. Let u be m(4). Solve 98 = 6*f + u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 3*i + 1 - 3 + 10. Let n be a(7). Solve -2*w + 5*y + 21 = 0, -w - y - n = 3*y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -18544867?\nAnswer: -185448.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -97, -98, -101, -106, -113, -122?\n\"Answer: -n**2 + 2*n - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 20 = -13*v - 19 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 336\/70*(-15)\/(-9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -32?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2.6, 0.2, -1\/5, -1 in descending order.\nAnswer: 2.6, 0.2, -1\/5, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2765.8 times 0.06?\nAnswer: -165.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.768 * -1.\nAnswer: 1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -14232133?\nAnswer: -14232123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3675.4686 to the nearest 10.\nAnswer: -3680","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47700 and 1800?\nAnswer: 95400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + z**2 - 2*z**4 + ((-3*z + 5*z + 0*z)*(z + z - z) + 135*z + 9*z**2 - 135*z)*(0 + 0 + 3*z**2) to i*z**2 + s*z**4 + w*z + l*z**3 + q and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b - 102. Let m(c) = 2*c + 104. Calculate -3*d(y) - 2*m(y).\nAnswer: 5*y + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {l: 4, a: 9, i: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 814 + 296. List the prime factors of u.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -32*p - 4550. Is p smaller than -132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.124 or -355?\nAnswer: -1.124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 4. Let g be v(4). Let z(p) = 3*p + p**3 + 5 - 4*p + g*p**3. Let l(x) = -x**3 - x**2 + 2*x. Let w be l(-2). What is z(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 83 + 15. Suppose -i = 4*s + 3. Suppose 2*d - 4 = 5*o + 1, 3*d = 5*o. Do s and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13368 greater than -13369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -75, -171, -305, -477, -687?\n\"Answer: -19*o**2 - o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29626 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1811.9999999257 - -1812. Round r to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -281*b**3*i - 8563*b**3 - 54*b**2*i wrt i.\nAnswer: -281*b**3 - 54*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.06 + -0.06. Let p = -16 + 15.97. Let f = p - -0.13. Which is the nearest to f? (a) 2\/17 (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.712 - -0.288. Sort -4, f, 1\/4, -5 in descending order.\nAnswer: f, 1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-6))\/(2 - (3 + 1)). What is the closest to -0.1 in 2\/7, t, 0.4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*161202\/18)\/(1 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 4, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4800*o - 13 - 9 + 3 - 4797*o + 3. Determine k(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1714 take away -5?\nAnswer: -1709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7722, -7721, -7720, -7719, -7718?\nAnswer: -7717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvqvplovplvlvpo. Give prob of sequence fo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/56*-44 + 3\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1bc + -10493?\nAnswer: -10660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -58331710?\nAnswer: 1\/29165855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 267.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6544 rounded to 1 dp?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12243 divided by 3.\nAnswer: -4081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + 0 + sqrt(612) + sqrt(612)).\nAnswer: -65*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2709830 divided by 5?\nAnswer: -541966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**6*v**2 - 267*b**4*v**2 - b**2*v**2 - 876*b*v**2 wrt b?\nAnswer: 360*b**3*v**2 - 6408*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -109. Calculate the remainder when 249 is divided by w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 3*o - o)*(1351 - 621 + 1459 + 3207 - 456) to the form p + t*o and give t.\nAnswer: -9880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (10311\/(-7365))\/(2\/70)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -443, 18, 1351, 3550, 6609, 10522, 15283, 20886?\n\"Answer: -x**3 + 442*x**2 - 858*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4039109 is divided by 5713?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**6\/360 - 2*s**3 - 3. Let z(c) be the third derivative of u(c). Let w(k) = -2*k**2. What is z(w(d))?\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.9 (b) -5 (c) -538 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(13\/6)*g)**(-46))**(-1\/5))**47 assuming g is positive.\nAnswer: g**(20539\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1*sqrt(320) + sqrt(320) - sqrt(320)) + 2 + 5))**2 - (4 + sqrt(320) + (sqrt(320) - (sqrt(320) + 1*sqrt(320)) - sqrt(320)) + 3 + sqrt(320) + -4)**2.\nAnswer: 1008*sqrt(5) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.32868t?\nAnswer: 6328680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-16) - 1\/((-8)\/(-22)). What is the closest to -1 in 0.5, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f. Let b(o) = 2*o**2 - 742*o + 210. Calculate m(b(j)).\nAnswer: -18*j**2 + 6678*j - 1890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - a98a69a?\nAnswer: -a98a698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.09, 0.5 in descending order.\nAnswer: 0.5, -0.09, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**3 + 5*u**3 - 4*u + 0*u**3)*(0 + 0 + u).\nAnswer: -u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, z: 12}. What is prob of sequence znzz?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/31339563?\nAnswer: 4\/31339563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 + -0.04. Let f = -6.12 - -0.12. Does q = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105.7462 * 0.149\nAnswer: -15.7561838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18 = -4*o. Suppose -2*w + 5*y = 1, -o*w = -w - 2*y - 2. Which is the closest to -1? (a) -0.4 (b) w (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*l + 0*l - 21*l)*(251 + 302 - 492) as n*l + x and give n.\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -461199746 divided by -5671\nAnswer: 81326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 256358*c**2*v**2 + 206290*v**2 wrt c?\nAnswer: 512716*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*-1*sqrt(1377) + (-5 + sqrt(1377)*-1 - sqrt(1377)) - ((2*sqrt(1377) + 3 - sqrt(1377)) + -1)*-4)**2.\nAnswer: 432*sqrt(17) + 12457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -19*t**2 - 130*t + 13. Let x be m(-7). Let w(y) = -y**3 - 6*y**2 + 16*y - 1. Let d be w(x). Let c = 68616\/91 - 754. Which is greater: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) + 141\/(-21). Let u be 2\/18 - (-140)\/36. Suppose 0 = -u*c + 33*c + 261. Is h at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -166*m + 2545. Calculate s(15).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/12 - t**3\/6 - t**2\/2 + 3383*t. Let o(w) = -12*w**2 - 9*w - 10. Determine 2*o(l) - 22*y(l).\nAnswer: -2*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35446 + 35479. Is 73 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, q: 2, m: 5}. What is prob of picking 1 t and 1 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 3 - (-1 - 1). Let n be (-6)\/v + 3 + 3. Let b = 933 - 936. Sort b, n, 2 in decreasing order.\nAnswer: n, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142346237 a multiple of 3313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - b - 20 = 3*z, 0 = z + 4*b - 5. Suppose z*v = -4*i - 67, -i - 13 = v - 0*i. Let h = v - -84. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -9. Let a be (-10)\/4*(68 - p). Let l = 139 + a. Solve -3*q = -q - l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-4 - (-30)\/(-4)). Let d = 50 + t. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - k + 570 = 2*q, 4*q - 594 = -5*k. Solve -38*y - 125 = q for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 110, 391, 950, 1883?\n\"Answer: 16*d**3 - 5*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 9. Let p be (-2 - -6) + 2*(-46)\/22. Which is the third biggest value? (a) 0.1 (b) -0.3 (c) p (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-8 + 2 + 15 + -6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:31 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1.3 (b) -0.09093 (c) 0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z**(-5))\/(z*z**(-1\/2)*z)**(-34))**(-3\/16) assuming z is positive.\nAnswer: z**(-135\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -588, 1787, 5802, 11457, 18752, 27687, 38262?\nAnswer: 50477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 169875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -2*z - 9. Let b = 53 - z. Let n = b - 16. Solve n*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 9*d**2 - 18*d + 3. Let a be r(-6). Solve -2*o = a*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by 5934.\nAnswer: -77\/5934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/2)\/5*(-1)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70526012 a multiple of 463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efef when four letters picked without replacement from {l: 3, f: 4, s: 6, r: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 3*b**5 + b**2)*(213 - 55 - 100).\nAnswer: -174*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u - 6. Let x be o(4). What is the units digit of 4\/3*x\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 5*c - 2*w + 13 = 0, 2*w = -4*c + 22. Suppose 0 = -x - c*t - 17700003, 38713351 = -2*x + 2*t + 3313353. What is x rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h = 415 - 2561. Factor -b**4 + 2487*b + 645*b - 918*b**2 - 31*b**2 - 1687 - 1229 + h*b**3.\nAnswer: -(b - 27)**2*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/9220 and -63\/30920.\nAnswer: 14254120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 657.4 from -0.5.\nAnswer: -657.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*b + 15, 3*n - 3*b = -2 - 7. Suppose n = -9*i + 4*i + 205. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) - 2\/(-6) - -18. Suppose 80 = b*h - 17*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303488 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: Four letters picked without replacement from noookkkkk. Give prob of sequence koko.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -447*n**2 + 1. Calculate g(1).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 17. Let k = u + -8. Suppose -1 = 4*w - k. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827279860 rounded to the nearest one million?\nAnswer: 4827000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 45 = -5*s, 4*s + 8*z = -2*s + 2*s + 24 + 8 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 36. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 3\/2 (b) -16 (c) -0.04 (d) -506\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5430 (base 6) to base 16\nAnswer: 4da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 89.96136mm?\nAnswer: 0.08996136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 504474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20511\/(-6) - 1\/(-2). What is the tens digit of 1\/(-9)*-2 + u\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -13*o - 17. Let m(v) = -11*v - 16. Let d(q) = -4*m(q) + 3*s(q). Let l be d(-2). Solve -l*k + 6 = -0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 + f**2 + 6*f - 7. Let s(z) be the second derivative of -z**5\/5 + 7*z**3\/6 - 4*z**2 + 6705*z. Give -6*m(v) + 5*s(v).\nAnswer: -2*v**3 - 6*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 231919 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69023435?\nAnswer: 5, 13, 281, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.903 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -630 + 1143. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -162, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4 - (-21)\/6. Suppose -a*w - w = 0. Solve 2*v + w*v = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*k + 1788 + 1380 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510 and 6426?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + c)*(-4*c + 2*c + 3*c)*(0*c - c + 3*c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-20) - 669\/5. Let z = j + 203. Let g be 6\/(-10) - (-118)\/5. Calculate the highest common factor of g and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8099184 rounded to 3 decimal places?\nAnswer: -4.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o + 228 + 66. Let s(u) = -u - 1. Let q be s(-2). Let a = q - o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 5*d - 6. Let a be j(-6). Suppose 5*b - 20 - 45 = a. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26361 and 11716.\nAnswer: 105444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/3)\/1)\/(255*45\/55080).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59242651 - 470*x + 59242651.\nAnswer: -470*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*d - 47*d - 52*d + 125*d - 5.\nAnswer: -22*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - ((-6)\/(-4) - 0) - 0. Let t = -6 - -8. Factor -j + d - 1\/2*j**4 + j**3 + 0*j**t.\nAnswer: -(j - 1)**3*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(2*sqrt(176) - sqrt(176))**2*2 + 5 + (sqrt(704) - (sqrt(704) + 2 + 4)**2 - sqrt(704))) + -1.\nAnswer: -1088 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -81, 23, 1\/3, 14, 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.363 + 2.263. What is the closest to -1 in -1, y, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 19. What is y(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.2 (b) 0.18 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = 4*h - 5*h - 5*j, -j + 2580 = 5*h. Let g = -514 + h. Solve 0 = -g*u - 7 + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -280.938 and 14.\nAnswer: -266.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/18*(-106290)\/(-18896)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-1586)\/(-176) + -9).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -284, -366, -426, -458?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*c - 2*c = 0. Suppose 4*s - 16 - 20 = 0. Suppose c = 5*t - 586 - s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80 and -35.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.2 - -4. Let y = 2.8 - b. Let k = -0.1 + -2.9. What is the second smallest value in 0.5, k, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*h + 54, -4*h + 2020 = 4*f + 1980 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/126 - 6\/(-9).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -4. Suppose s*n - 24 = 3*n. Let x be (-45)\/(-12) - 9\/n. Solve -x*a - 10 = -8*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7941 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8013598005 - -2.\nAnswer: -8013598003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/13912756 and -139\/312.\nAnswer: 83476536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/4 + 75*z**2\/4 - 117*z.\nAnswer: -3*z*(z - 13)*(z - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 14 = -50. Suppose -2*c = 2*k - 8, 3*c - r = 2*k + 4. Solve 2*z - 4*o = -12, -z = -c*z - 2*o + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 365*a - 10617. Give u(29).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 82*x - 4917. Let d be r(60). Suppose -4*y - 24 = -4*p, 2*y = 5*p + 3*y. Sort d, p, 18 in ascending order.\nAnswer: p, d, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.95 + 0.95. Let p = r - -38.49. What is p rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111044 != 2553992\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 64328?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200634 and 12852.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -36*a. Let r(b) = 127*b**2. Give r(k(h)).\nAnswer: 164592*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3*-1*39. Suppose 0*g - 3*g = -69. Suppose 3*m - h = g. Solve -8*w + 4*w - m = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465592.25818 + -465508.7. Let u = n + -82.8581826. Let l = u - 0.7. What is l rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*m*q + c*m - 27*c*q + 2*c - 2*m**2*q - 2*m*q + 2 wrt m.\nAnswer: -c*q + c - 4*m*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 - -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 2, e: 2}. Give prob of sequence sso.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340614 and 33674?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87*(-29)\/203*(245\/(-15))\/7.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -10.2. Let p = -0.4 - z. Which is the nearest to 1? (a) -2 (b) 1\/8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:33 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 47.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, -20, -48, -86, -134?\n\"Answer: -5*w**2 - 3*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**8\/168 - 13*p**6\/20 + p**5\/30 - p**4\/12 + 429*p**2. Find the third derivative of f(v) wrt v.\nAnswer: -120*v**2 - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439917*-5.\nAnswer: 2199585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -3. Suppose 0 = k*i - 10*i - 4450. What is i rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7 = -1. Let v = -10 + 11. Let l = 9026\/11 - 820. Which is the nearest to -0.2? (a) i (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (2 + (sqrt(5) + -1)**2) - sqrt(120)\/sqrt(6).\nAnswer: -8 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Let z(o) = -o - 6. Let b(y) = -4*k(y) + z(y). Let m be b(4). Calculate the greatest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 12142?\nAnswer: 12135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59458.81 micrograms to milligrams.\nAnswer: 59.45881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 p when three letters picked without replacement from plallqgllssplll?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -732, -737, -742, -747?\n\"Answer: -5*f - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 258*w**3 + w**2.\nAnswer: 258*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98208 is divided by 1169?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(2\/45)\/j)*j)\/j*j)\/j)\/(((j*j\/j**(3\/10))\/j)\/j) assuming j is positive.\nAnswer: j**(203\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 289*q + 5. List the prime factors of o(2).\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -120*u - 147*u - 160 + 227*u. Is j(-12) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*a**5 - 17768*a**4 - 410175*a**2 + 5 wrt a?\nAnswer: -8220*a**2 - 426432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*o - 1 = -6, 3*n + 2*o = 7. Suppose -5 - n = -2*w. Let z = 0 + 0. Solve -3*p + w*a = 2*p - 10, p - a - 4 = z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 25655*n - 2026740. Give y(79).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 68*q + 3*q**2 - 8 - 4*q**3 + 71*q + 13*q**3 as r*q**3 + t*q**2 + a*q + l and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717765 is divided by 51253?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-39)\/(-6) + -4)\/((-1)\/(-2)). Let l = 9 + -8. What is the smallest value in l, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4*x*x**(-2)*x*x**(5\/2)*x*x**5 assuming x is positive.\nAnswer: x**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8*-3)\/1 - 4. Let s = f + 72. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4643*p**3 + 2*p - 2*p + 4633*p**3 + 0*p.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b - 30*b + 58*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5852 or 5758?\nAnswer: 5758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12*(-4 - (-22)\/6). Suppose -4*v + 11 = h + 1, c*v - 4 = 2*h. Suppose -v*o + 2 = -3*o. Which is smaller: o or -6\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -51, -1.3, 1, 4, -33?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253248 divided by -32.\nAnswer: -7914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lby when three letters picked without replacement from {y: 6, p: 1, l: 2, j: 1, u: 3, b: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1)\/((-9)\/36). Put t, 6, -2 in descending order.\nAnswer: 6, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krs when three letters picked without replacement from rkrskkkrrkkrkskrkk.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 22084546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 16400*n**2 + 679905*n - 2988900.\nAnswer: -5*(n - 36)*(n - 5)*(n + 3321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-302)\/9966)\/(4\/(-3)).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 1452, 22, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35248 not equal to 35249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 8*x - 1. Let c(j) = -2*j**2 - 4 + 7*j + 4. Let s(w) = -3*c(w) - 2*m(w). Let l = -27442 + 27445. Determine s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -65*m**4 - 18*m**2 + 5*m + 5. Let k(x) = -64*x**4 - 20*x**2 + 6*x + 6. Let i(h) = 5*k(h) - 6*l(h). What is the third derivative of i(n) wrt n?\nAnswer: 1680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3307422, 3307398, 3307362, 3307314, 3307254, 3307182?\nAnswer: 3307098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.8. Let x = 809\/45 - 160\/9. Let b = 8\/5 + -51\/35. What is the nearest to 0.2 in x, l, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 8*z + 13. Give n(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.234987 and 0.69?\nAnswer: 0.16214103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3054 less than or equal to -3478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 5 + 3 - ((-56)\/(-16))\/((-3)\/72).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -15 - ((-10 - 9) + -3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -7\/2*p**2 + 2*p + 1\/6*p**3 - 19 - 1\/80*p**5 + 7\/48*p**4. Factor d(i).\nAnswer: -(i - 7)*(i - 2)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, 9, 2\/3, -3\/10 in ascending order.\nAnswer: -2, -0.5, -3\/10, 2\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2116 - 2752?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9964 divided by -2491.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 + 6*c + 1. Let r(t) = 7*t**2 - 12*t - 2. Let o(f) = -6*r(f) - 11*z(f). Let g be o(-3). Differentiate 5 - 9*j**4 + g - 12 wrt j.\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 14*v - 15. Let x = 62 - 22. Suppose -4*b - x = b. List the prime factors of l(b).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + -210001201?\nAnswer: -210002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1892318, -3784603, -5676866, -7569095, -9461278?\nAnswer: -11353403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3178866.\nAnswer: 2, 3, 529811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4806618 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 - 3*o - 12. Let t be f(5). Which is the third biggest value? (a) t (b) -3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -2. Let a = 9.4 + c. What is the biggest value in 6\/7, a, 1\/8?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1646 by 1.\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33562, -5, 3.\nAnswer: -5, 3, 33562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783906 is divided by 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 3, y: 2, s: 9}. What is prob of sequence ses?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26878795 is divided by 581.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 3 (c) -3.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 6*s = -372*h + 40*h + 1072, -4*s = 2*h + 2*h + 292 for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5438 divided by 6.\nAnswer: 2719\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 7*j**2 - j + 10. Let r be b(7). Let y(z) = -4*z - 7. Let x be y(-3). Solve 4*d - x*n - 21 = 0, r*d + 6*n + 23 = 2*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.023 + 0.603. Let m = r - -0.98. Round m to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + k - 1 = 3*s, s = -5*k + 17 - 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -3, 1.1, 0.2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) - (sqrt(1400) + sqrt(1400)*-2 + sqrt(1400) + sqrt(1400)))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63285 (base 9) to base 14.\nAnswer: -11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -6*m + 65. Differentiate -6*z**3 - 3*z**3 - 10 - 8*z**4 + m*z**3 wrt z.\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 5*q**2 - 5*q. Let r be y(-4). Suppose -5*n = r*x - 118, -2*n + 52 = -x + 5*x. Suppose -3*l - n = -4*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11*t = -6*t + 3196, 4*t + 1595 = h. List the prime factors of h.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5483195 times 0.04?\nAnswer: -219327.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10363 and 256183.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5, -25*f + 28*f - 19 = -2*o. List the prime factors of (-6)\/o + (-282625)\/(-380).\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 36. Suppose 2*d - 40 - k = 0. Suppose -d = -4*h + 7. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248\/35 - -51\/7. Let j = -0.3 - -2.3. Let z = j - 0. Which is the nearest to 1? (a) w (b) z (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2 - 2)*(-69 + 819 - 389 + 1828 + 1598).\nAnswer: 3787*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/((-18)\/4) + 6. Let j be z\/(-3)*7725\/(-20). Suppose -5*n = -2085 - j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 3*o**2 - 1. Let d be f(3). Do d and 2\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20101367?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + 502. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21260, -21243, -21228, -21215, -21204?\n\"Answer: -w**2 + 20*w - 21279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279887 by -279887.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, -62, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369470.\nAnswer: 2, 3, 5, 191, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-1*-3 - sqrt(252)) + (sqrt(252) - sqrt(252)*-2) + 4)**2*-6.\nAnswer: -37896 - 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13616*c = 694643 + 244861 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 6*s**3 + 3*s**3 - s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 38. Does 15 divide (p\/10)\/(4\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*q - 454, -a + 40 = 3*q - 63. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-three fifths of a microsecond?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 13) to base 14\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11279, 22559, 33839, 45119, 56399?\n\"Answer: 11280*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1838 - 45. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157302 - 3.\nAnswer: -157305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1271737.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -929\/16759 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0185633 to four decimal places.\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44442.2 rounded to the nearest 100?\nAnswer: -44400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 850 and 14450.\nAnswer: 14450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*h - 2 = 300*h. Let g = -97 - -102. Solve h*o = -3*x + 6*x - 7, -4*x + 7 = -g*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 + 45 = 3*w, -j = w + 11. Let t be 1\/(((-6)\/j)\/2). Suppose -2*k + 5 = -t*m, 0 = 2*k - 4*k + 2*m + 8. Let l(r) = r**3 - 5*r**2. What is l(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 0, 3, 16, 4\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t - 10. Let z be s(9). Let w = 87 + z. What is the remainder when 20 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 5. Let p be x(-5). Let h = 2 - p. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 49.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 0*s**3 - 7 + 0*s - s**2 - 1\/4*s**4. Determine t(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 4*u - 4. Let z(s) = 2*s**2 + 7*s - 7. Let f(m) = -m - 1. Let n be f(-12). Suppose n*o + 15 = 6*o. What is o*z(j) + 5*w(j)?\nAnswer: -j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 + 115*g - 34. Suppose 104*q + 87 = 101*q + d, -145 = 5*q - 5*d. Determine c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:40 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16500 and 2400?\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*y**5 + 4*y**3 + 7*y**2 - 6*y - 737?\nAnswer: -2900*y**3 + 24*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*p + 27*j - 24*j, 0 = p + j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 17*i**3 - 20 - 18*i**3 - i - i**2 - 10*i**2. Let a be v(-12). Suppose 3*j - 6*j = -4*z - 154, 2*j - a = -4*z. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 + p - 2. Let a be z(8). Let i(u) = u**3 - 5*u**2 - 5*u + 4. What is the units digit of i(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192 (base 10) to base 16.\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**4 - 4*c**4 + 6*c**5 - 3 - c**5 + 3 + (4*c + 3*c + 2*c)*(-c**4 - 2*c + 2*c).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30160444 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: Let w = 803 + -805. Let h = -50.75 - -51. Let r = h - -1.95. Are r and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*t - 5*y, -3*y + 3 - 4 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*v - v = 34, -144 = 4*f + 4*v. Calculate the smallest common multiple of 15 and (-1456)\/(-49) + (-10)\/f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b**2 - 72*b. Suppose -6*t + 32 = 10*t. Let n(c) = -c**2 + 7*c. Let j(q) = t*d(q) + 21*n(q). Solve j(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(1 + (-108)\/81).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l\/(l\/l**(13\/6)))\/l*l*((l*l**(-29))\/l)\/l assuming l is positive.\nAnswer: l**(-161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 843 + 861 = 0. Let a(c) be the first derivative of -15\/2*c**b - 10 - 1\/4*c**4 - 7\/3*c**3 - 9*c. Factor a(w).\nAnswer: -(w + 1)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10496674 by 5.\nAnswer: 10496674\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 56 = -2*l, -m = 5*l - 0*m - 104. Calculate the common denominator of (1 - -3) + (-161)\/l and -3\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*55\/30 + 2\/6. Let l = -5 - -2. Let t = z + l. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108*k**2*q**3 - 3121*k**2*q**2 - 4*k*q**3 + 5*q**3 - 5*q**2 wrt q.\nAnswer: 648*k**2 - 24*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71775*j*v - 623*j + 89026328*v wrt j.\nAnswer: 71775*v - 623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(240)\/(sqrt(300) + -2*sqrt(300)))\/((sqrt(196)*1 - sqrt(196)) + sqrt(4)*-3*-6).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66657453 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j - 2. Let u(k) = 2 - 4*k**2 - j. Let d(c) = -8*c + 7. Let s(n) = -7*n + 6. Let h(w) = -6*d(w) + 7*s(w). Give u(h(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 5 - (-10)\/2. Suppose 1 = -h*u + 29. Solve 19 - u = m - 5*g, -4*m - g - 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-37 - (4 + -1))\/(-2). Calculate the greatest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03802 - -0.33802. Let k = -2.8 + -0.2. Which is the nearest to m? (a) 8 (b) -5 (c) k (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkiivkkizkkkikzk. What is prob of picking 1 l, 1 i, and 1 v?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 7. Let r be g(-8). Let k(s) = -4 + 1 - 8*s**3 - 1 - r. Let z(l) = -9*l**3 - 6. Calculate -7*k(u) + 6*z(u).\nAnswer: 2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 8*d**2 - 9*d - 10. Let w(o) = -4*o + 84. Let m(u) = -u + 17. Let l(s) = -11*m(s) + 2*w(s). Let h be l(4). Determine n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 10 = -2*l. Suppose -m = -2*m + l. Suppose -9*h + m*h + 436 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4042020 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 (218*t**3 + 419*t**3 - 939*t**3)*((4*t - t - t)*(0 + 1 + 1) + 0 - t + 0 + t - 4*t + t) to l*t + r*t**3 + a + h*t**2 + v*t**4 and give v.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-6\/11)*l**(-2\/5))\/(l**7*l**6*l) assuming l is positive.\nAnswer: l**(-712\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5 = -23. Suppose 6*d + p = 3*d. Is d\/8 - (-82)\/8 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 349.5 - 365. Round f to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 87 - 2*c**2 + 5*c**2.\nAnswer: 3*c**2 + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Let n = -3.95 - -4. Let y = -0.45 - n. What is the smallest value in p, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -26. Let x(y) = -y**2 - y + 104. Give -9*f(j) - 2*x(j).\nAnswer: 2*j**2 + 2*j + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 13*u - 1 = -6*o + 7*o, -33*u + 38*u + 19 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4097 = -n, 4258 + 3901 = 4*c - 5*n. Is c a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 699*n + 4196. What is b(6)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101235414 to the power of 1\/4, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -0.06344867.\nAnswer: 0.044414069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from kkknkkk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -221054 + -101?\nAnswer: -221155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -6*r + 4*r + 100, 0 = -b - 5*r + 100. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = 64*v - 5045. Suppose 0 = -3*u + 38 + 55. What is the remainder when v is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -12.12816\nAnswer: 36.38448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 32. Let n be (3*-1)\/(1\/1). Let p = n - f. Solve -p*t = -0*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1658515 (base 9) in base 13?\nAnswer: -264c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 11*v**2 + 10*v + 13. Let b be c(10). Suppose 12*a - b*a = -6. Suppose 0 = a*r + 26791335 + 7948665. What is r rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1861098 + 0?\nAnswer: -0.1861098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175151, 4, -4 in decreasing order.\nAnswer: 4, -4, -175151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 - 5*k + 9. Is 3 a factor of r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -527232*r**5 + 998949*r - 2?\nAnswer: -10544640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1314104 (base 6) to base 12\nAnswer: 35934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -32*v - 3. Let s(i) = -2*i**2 + 9. Let h be s(-5). Let k = -43 - h. List the prime factors of q(k).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47328.89nm in meters?\nAnswer: 0.00004732889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87565\/3838 + -873\/38. What is the nearest to c in -1, 5\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/3 + 12\/(-3). Let o be (63 - 53)*k\/2. Solve -o*f = -4*l - 3 + 36, -4*f = 3*l + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1853 times 12\nAnswer: 22236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.1, 1, -1 in decreasing order.\nAnswer: 1, 1\/3, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 43 = -2*z - 4. Which is the biggest value? (a) -0.02 (b) z (c) 0.5 (d) 0.2 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1138 times 0.028?\nAnswer: -31.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1461, -86, -4613, -12120, -22607, -36074?\n\"Answer: -1490*o**2 + 2923*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 2. Let r be u(9). Let c(k) = 16532*k**2 - 12*k + 16. Let a be c(r). Round a to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/2, -5, 1, 23, -2\/5, -2\/10023 in increasing order.\nAnswer: -5, -2\/5, -2\/10023, 1, 7\/2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 32959?\nAnswer: -3\/32959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-6))\/((-15)\/(-90)))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/166 and -145\/12.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4154097601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 6:01 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 8*g - 47 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1184820 and 172?\nAnswer: 50947260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/28 + -1\/28. What is the nearest to 2\/3 in -1\/4, 1, u, 0.12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -70, -33161 in ascending order.\nAnswer: -33161, -70, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-24)\/10*195\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1462 - -1461.9. Let y(b) = -b**3 - 5*b**2 + b + 7. Let w be y(-5). Put -3, 5, u, w in decreasing order.\nAnswer: 5, w, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4477?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3387 - 1686. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -a - 5*x, 2*a - 86 - 57 = x. What is the least common multiple of a and 9635\/125 + (-60)\/750?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4416*j. Let x(h) = 2*h. Determine x(f(u)).\nAnswer: 8832*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*y + 108*y + o - 27229 = 0, 3*y - 16342 = 4*o. What are the prime factors of y?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 2, n: 3, m: 1, o: 4, q: 2}. What is prob of picking 1 m, 1 q, and 2 b?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -56876699 to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4409243 is divided by 367436.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 6*j + 20 + 18*j - 4*j.\nAnswer: 5*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 17*z = -t - 19, -4*t + 3*z - 1 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00737277491 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316270619.\nAnswer: 3, 19, 149, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11201202111122 (base 3) in base 8?\nAnswer: 11457401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*((sqrt(162) - (sqrt(162) + 1 + sqrt(162))) + sqrt(162)) + sqrt(162)))**2 - ((sqrt(162) - 3*sqrt(162)) + -2 + -5).\nAnswer: -558*sqrt(2) + 2663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 669.5622 months?\nAnswer: 55.79685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r**2 + 44*r - 127. What is the tens digit of y(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(((sqrt(720) - (sqrt(720) + (-1 + sqrt(720))*5) - sqrt(720)) + sqrt(720))**2 - (sqrt(500)*2)**2*1) + -1.\nAnswer: -192301 + 7200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**7\/140 - w**5\/20 - 7*w**4\/12 - 16*w. Let r(j) be the third derivative of f(j). What is the derivative of r(x) wrt x?\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8050.276 to the nearest 10.\nAnswer: -8050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -5?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509076 is divided by 60?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-427)\/6)\/(-61)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -175*g**3 + g + 85*g**3 - 5*g**2 - 7 + 29 + 89*g**3. Let f be s(-4). Factor -m**f + 6\/5 + 13\/5*m.\nAnswer: -(m - 3)*(5*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.012353 - 2.402653. Let n = 0.1967 - r. What is n rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1964 + 398694\/203. Let m = g + 384\/2233. Which is the third biggest value? (a) m (b) 2\/7 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39001, 78209, 117403, 156577, 195725?\nAnswer: 234841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3934051*j + 14575304 wrt j?\nAnswer: 3934051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 + 4*a - 3. Let z be j(-5). Suppose 1086 = x - 3*x. Let y = z - x. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k)**(-17\/5) assuming k is positive.\nAnswer: k**(-187\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*j + 3*i, -11 = -4*j - 4*i + 5*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 120 = -3*v. Suppose 0*r + 2*r + 3*p - 20 = 0, 4*r - 4*p = 20. Let q = v - r. Solve -q = 4*d + d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4093.728km to centimeters.\nAnswer: 409372800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1.8806 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 236*x + 5. Let q be l(8). Let m = q + -2754. Let y be 3\/4 - m\/84. What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*q**4*x**2 - 174532*q*x**3 + 6*x**3 + 1980809*x wrt q.\nAnswer: -200*q**3*x**2 - 174532*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*g - g - 12, -3*g + 14 = 4*l. Suppose -p - 4*c = -7*c - 615, -l*p = -4*c - 3053. Suppose -3*z - 4*z = -p. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(6\/(-18))*-3. Let w = -390 - -393. What is the nearest to c in -3, w, 2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945505724?\nAnswer: 2, 149, 1586419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -6) + -28 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Let u be d(-1). Suppose -o + 11 + 2 = u. Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*d + 3. Let o = d - -7. Let b(q) = -7*q + 7*q - 2*q**2 + 3*q**o. Let f(a) = 3*a. Determine f(b(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 10*w**2 + 12*w - 11. Let a be q(-11). Let y = a - -28. What is the third derivative of 9*b**6 + 6*b**2 + 12*b**6 + b**y wrt b?\nAnswer: 2640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330ba (base 16) to base 13.\nAnswer: -74223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2664*p**2 + 5941*p?\nAnswer: 5328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 994 and 7.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4458\/35664*(-44)\/(-5).\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 - 412292*d\/3.\nAnswer: -d*(d + 824584)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.674 - -356.736. What is l rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14403 - -1324. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -4 - 23. Let v(a) = s - 4 + 10 + a + 0. Calculate v(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*u + 46680 = 0, 1225*k - 1220*k - 2*u = 46668. List the prime factors of k.\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 389 - 405. What is the third smallest value in y, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-3 + (-8)\/2). Suppose 3*z + 0*c = c + 4, -c + 14 = w*z. Let m be (z + -3)*(-3 + 4). Solve -4*l - l = m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 9 - (7 - 8). Let h = t + 9. Determine c so that h - 4\/3*c**2 + 4\/3*c + 1\/3*c**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32\/3, 10, -4, 0, 0.2, -1.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 917 = 4*g + 901. Suppose -2*f - 5*t + 36 = 0, -4*f + 5*t - 2*t = -72. Suppose g*j = d + f, 0*d + d - 17 = -3*j. Solve 1 = -d*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 454 + 46. Solve -4*j + 0*j = -m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.391621 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124667582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - 7) + 39 + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134062*w**2 - 5*w - 30805326.\nAnswer: 268124*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*d**4 + 3*d**2 - 3*d**4 - 3*d**2 - 9*d**3 to z*d + w*d**2 + t + j*d**3 + i*d**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 5082.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00792 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -59*o**6\/2 + 6*o**5\/5 - o**3\/3 - 167*o**2\/2 - 4*o + 2929. Find the second derivative of m(g) wrt g.\nAnswer: -3540*g**3 + 72*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 + 2*h**4 + 14*h**3 - 2*h**2 - 12*h = 0 for h.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -2011120002120?\nAnswer: 2011120002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 less than or equal to 171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/4 + 4*d + 2. Let m(i) = -11*i**2 + i. Give m(z(r)).\nAnswer: -99*r**4 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 + -149. Let h = j - -167. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - 0) + (1092\/39 - 36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -d - 39. Let w = -25 - d. Suppose -k = w - 77. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/16*(8\/7)\/1. Let z(a) = 5*a - 10. Let o be z(s). Solve 4*d + 4 = 2*f, 5*f - o = -0*f - 5*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 20*r**3 - 33*r**2 - 54*r.\nAnswer: -r*(r - 18)*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 138*s**2 - 2085*s - 58357. Give m(154).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12691484*o + 17801765.\nAnswer: -12691484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 12116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-1)\/(-2 - 23)). Suppose 2*t - 3*t = -o. Suppose 5*l + n = t, -2*n + 24 = 3*l - 14. Solve q = 5*r + 3*q - 12, -3*r + l = -q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 - 1160*p + 365. Determine f(193).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 14*m**2 + 2*m - 15. Let l be d(-13). Calculate the greatest common factor of l and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -13*v**2\/2 + 6*v - 4. Let h be s(-8). What is the greatest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159666.\nAnswer: 2, 3, 13, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -313104?\nAnswer: 313044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((-2121)\/31815)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-9*u + 10*u - 21*u)*(3*u**2 + u**2 - u**2).\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - (1 + 5 + sqrt(98))) + (4 + sqrt(98))*4)*-6)**2 + -1.\nAnswer: 20160*sqrt(2) + 60047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/49*-1*28\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32302 divided by 1?\nAnswer: -32302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -256580, -513168, -769756, -1026344?\n\"Answer: -256588*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26*(15\/6 - 2). Suppose 4*a + 5*p = d, -p - 7 = -5*a + 2*p. Is a bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4597*n**2\/4 - 535*n\/4 = 0. Calculate n.\nAnswer: -535\/4597, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d6 - -4?\nAnswer: -d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.44279672 and -5726744.\nAnswer: -5726743.55720328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/((-1440)\/50) + (5045\/(-1540) - (-4 - -2)).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-12 + -18 - 1 - -14)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 11*p + 820 = 0. What is the remainder when p is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 561*l + 64525. What is r(-115)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*m**3 + 0 - 9\/5*m**4 - 4\/5*m**2 + 0*m.\nAnswer: -m**2*(3*m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbaq when four letters picked without replacement from qdqbbodaqosooab?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.2 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 33*a + 940. Let l be i(-15). Let h = -5 + 2. Sort h, l, -63, -1 in descending order.\nAnswer: -1, h, l, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose 0 = 4*k - j - 66. Suppose 2*w = -2*w + 4*v + 144, -2*w = 4*v - 54. Calculate the remainder when w is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 144*g**2 - 54*g - 54. Suppose 186*y = 704 + 6793 + 2547. Let o(p) = 13*p**2 - 5*p - 5. Calculate y*o(c) - 5*d(c).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 5*k + 3*k)*(26*k + 22*k + 6*k) + (-k - k + k)*(-1 - 2*k + 1) - k**2 + 0*k**2 + 3*k**2 - 4*k**2 + k**2 + 2*k**2.\nAnswer: 57*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 15) to base 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 - 5371a?\nAnswer: -53754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1344789115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8980 and 236174?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 385619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 + 3*s + 2. Let t be z(5). Let v(r) = 5*r + 2. Calculate the least common multiple of v(4) and (14 - 6)*(-18)\/t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/10, 6, -1, -2\/15 in descending order.\nAnswer: 6, 2, 1\/10, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19121 - -19222.632. Let y = l - 1.232. Round y to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00892408618 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + 12*w. Let n(k) = 85 + 20*k - 44 + 4 - 47. Give l(n(m)).\nAnswer: 1600*m**2 - 80*m - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 29411 = 13218. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h + 35 = -3*r, 568 - 560 = 4*h - 2*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.448432 millennia to years.\nAnswer: 3448.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 4594460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 + 2 = -5*b, -4*b + 4*l = 0. Solve 3*w = -8 - b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/72 and 4 - -26 - (2 - -4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k + 15914 = -43*k - 153*k - 78*k for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/66 - (-595)\/561)*8\/32\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354411089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/4, -3, 0.2, 22\/71?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 448, 2\/9, 39, -0.148, -7?\nAnswer: 448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r + 1. Let m = -1102 - -1007. Let y(w) = -76*w**2 - 95*w - 95. What is m*p(k) - y(k)?\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -12, 0.4, -662189?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -337386, -674769, -1012160, -1349565, -1686990, -2024441?\n\"Answer: -o**3 + 2*o**2 - 337382*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -228*v + 300. List the prime factors of b(-16).\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003355 is divided by 5801?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26, -43, -74, -125, -202, -311?\n\"Answer: -i**3 - i**2 - 7*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2 + 2)*(1 + 1 + 0 + (-1 + 4 - 4)*(-1 + 3 - 3) + 2 + 2 - 2 + 32 - 33 - 28).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6609 divided by -3?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 570, -0.04, -5, 80, 5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 12. Let n(u) = u**3 + 6*u**2 - 3*u - 6. What is the smallest common multiple of v(-7) and n(-6)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -2323.65.\nAnswer: 2324.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2. Let z(t) = 25*t + 6. Let w(x) = 24*x + 7. Let o(r) = -6*w(r) + 7*z(r). Calculate s(o(h)).\nAnswer: -961*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26657 or 26655?\nAnswer: 26657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4357*g**4 + 4093*g**2?\nAnswer: -104568*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7401, -14792, -22173, -29538, -36881, -44196, -51477, -58718?\nAnswer: -65913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3514185903?\nAnswer: 3, 313, 3742477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 3*l**5 - 3*l**5 + (2*l**4 - 7*l**4 - 11*l**4)*(3*l + 0*l - l).\nAnswer: -34*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -336, -512, -692, -876, -1064?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489027?\nAnswer: 3, 7, 11, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 p, and 1 d when four letters picked without replacement from gdrgkpp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415808?\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3800000*n**2 - n - 1. Let q be f(-1). What is q rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 7*b - 2. Determine x(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15832651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -41.96. Let t = d + -33. Let p = -0.12 + -0.18. Which is the nearest to t? (a) -3 (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -f - 12, 2*s - 4*f + 492 = 466 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 201580*x + 201585.\nAnswer: -5*(x - 40317)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + o + 3*o)*(-o + 7*o - 3*o)*(-5*o**2 - 11*o**2 + 11*o**2)*(-3*o + o + 5*o).\nAnswer: 45*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 251d51 - d?\nAnswer: 251d43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-189)\/(-27) - (-1 - -6). Suppose -43 = -2*t - 5*i, 0*t - s*i = -5*t + 64. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 + 5 = 0. What is the common denominator of -36\/11 and x\/32*1144\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.0124 days in microseconds?\nAnswer: 4925871360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(11) + 2)*6 - (((sqrt(275) - (-3 + sqrt(275))**2) + sqrt(275))*-3 + 2).\nAnswer: -854 + 138*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -2.24.\nAnswer: 89.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024 is divided by 413?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*-6.8\nAnswer: 17.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.563 rounded to one dp?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -4757506?\nAnswer: 4757506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*(1 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*w - 2 - 33 = 0, 3*w = k - 11. What is s in -32\/3*s - 40\/3*s**3 + 82*s**2 - k = 0?\nAnswer: -1\/4, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - n + 6. Let h be -1 + (-4)\/(-27)*6. Sort n, 2, h in decreasing order.\nAnswer: 2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 13. Let r be q(8). Solve -6 = -a + 2*n - n, 5*n = -r*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 41*n - 62*n. Solve 23 - 33 = -n*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 2\/11 (c) -9 (d) -1\/3 (e) -4\/5 (f) 0.11 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*j**3 - 169*j**4 + 3*j + 90*j**4 + 84*j**4 + 168 wrt j?\nAnswer: 60*j**2 - 360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34216304 - -31?\nAnswer: -34216243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7))**(-5\/3)\/((j\/(j*j*j\/(j*j*j**(-16))))\/(j*j*j*(j*j**(-26)\/j)\/j*j*j)) assuming j is positive.\nAnswer: j**(-116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 4*u - 4*w, -2*u - 3*w + 23 + 69 = 0. Suppose 0 = -4*f - 162 + u. Let r = f - -62. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.0997 - 3.1997. What is the nearest to 1\/11 in g, 7, 2\/11, -1\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -5, 9640, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/(-15)*(-6)\/4. Suppose 15 = z*w, -154 = -4*p - 4*w + 138. Suppose 3*s - 45 = -k, s - 3*k = 3 + 2. What is the greatest common divisor of p and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 23 (c) -137 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 743.016 + -739. Let y = t - -0.084. Let u = y + -4. What is the nearest to 1 in u, 2\/17, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -0.3, -3 in decreasing order.\nAnswer: 0.1, 0, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*6\/(-10) + 8\/((-48)\/786). Put -4, 1, -3, h, 3 in decreasing order.\nAnswer: 3, 1, -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from zmm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) 5\/3 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(320) + -1)*3)**2.\nAnswer: -15552*sqrt(5) + 312012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -5. Suppose 3*i - 6 = 0, 0*i + u = -3*j + 2*i. Let d = 4386.6 + -4387. Which is the second smallest value? (a) d (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 777 = -0*s. Suppose -3*l - 3*j = -111, 0*l - 5*j - s = -3*l. Calculate the remainder when l is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.65269465 to three decimal places.\nAnswer: -2.653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 + 112. Let v = -46 - l. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16156\/(-3462)*(-6 - 0). Suppose -5*t = -24 - 1. Solve o - 28 = -t*r, 9 - s = 2*o - 5*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -17 - 23*p**3 - 3*p + 2 + 15 - 3*p**2. Let f(t) = -8*t**3 - t**2 - t. Give -17*f(n) + 6*o(n).\nAnswer: -2*n**3 - n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/8900 and -113\/2554300.\nAnswer: 2554300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -0.1, 1\/30, 5 in increasing order.\nAnswer: -1, -0.1, 1\/30, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 126, 167, 218?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 3848?\nAnswer: 3847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9\/50)\/(2\/55) and 97\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -70, -172, -444, -970, -1834, -3120, -4912?\n\"Answer: -14*x**3 - x**2 - x - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - 4*v - 8. Let b be k(-6). Let g = b - -299\/2. What is the common denominator of g and -103\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/(20\/(-160)). Suppose 3*x + b = -683, 17 + 3 = -h*b. Is -227 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 920\/(-92)*(-5)\/20*8\/(-70)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/4 + x**3\/2 + 3*x**2 - 108*x. Let a(u) = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -12*r - 7*r**2 + 6*r**2 - 1 + 3. Let y be n(-10). Let c be y\/(-3)*(-5)\/(-10). Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210.53*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Suppose -3 = t*g - 6*g. Suppose 5*h + j = -2*j + 18, -h = -4*j + 1. What is the lowest common multiple of h and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 - 2*x**2 - 2*x. Let v be 126\/(-1197) + 279\/(-57). Let r(y) = y**3 + y**2 + y. Determine v*i(w) - 10*r(w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-120))\/((-3)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295462 times -4.2?\nAnswer: -1240940.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 17*u + 58. Let y be b(13). Let k(a) = -y*a + 5 - 3 - 1. Suppose 0 = 2*j - 0 + 2. Determine k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*w = -23, -q + 3*w + 33 = 2*q. Suppose -2*c + 11 = 5. Suppose r = -c + 6. Solve r*i - q = -t, 28 = -4*t + 2*i + i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 21 = 4*n - 1, -135195*c + 135194*c - 14 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m + 145 = -40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j**2 + 7*j - 4. Let l(d) = -3*d**2 + 2*d - 1. Suppose 0*c = -4*c + 8. Calculate c*f(w) - 7*l(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1647407 divided by -3\nAnswer: 1647407\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.218599933 to 4 decimal places.\nAnswer: 1.2186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let q = 0.016 - 0.416. Let i = 4.5 - 2.5. Which is the closest to i? (a) -0.2 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321975 and 300?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g - 42. Let l(h) = -h**2 + 25*h + 60. Let w be l(27). Let f be s(w). Which is smaller: f or 12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 35. Let f(x) = -65*x + n*x + 8*x. Let c(m) = 2*m. Determine f(c(w)).\nAnswer: -52*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632, 726, 820?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 19*n**2 + 164*n - 180. Is q(-36) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1)*q)\/q**(-3))\/(q\/q**(5\/8)*q**(-6\/7)*q) assuming q is positive.\nAnswer: q**(307\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/20 and (-126)\/136*(-6)\/54*-6.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(3) - 6*sqrt(48).\nAnswer: -23*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.4. Let m = -0.21 - -0.01. What is the nearest to m in -0.2, j, -1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -4537497\nAnswer: 499124.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -539 - -534. What is the third smallest value in -2, x, 0.004?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewee when four letters picked without replacement from eeeeeeweeeee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -10 (b) 0.4 (c) 0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 39 = -77. Is 27 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617 = -2*q - 7*m + 721, 7*q - 2*q + 4*m = 71 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -101020?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*t**2 + 7*t**2 - 41*t**2)*(3 - 3 + t) + (-t + t + t)*(-2*t**2 + 2*t - 2*t) + (0*t**2 + t**2 + 0*t**2)*(0*t + 6*t - 3*t).\nAnswer: -51*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 29*h**3 + 2060*h**2 + 72*h + 73. Determine b(-71).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-23 + 18 - (0 - -4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 25. Let d be g(6). Let x(a) = a**3 + 5*a**2 - 16*a - 11. Let m be x(d). Is 1 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 3*t**3 + 4*t**3 + (-2*t + t + 0*t)*(8 - 6*t - 7 + 110*t**2 - 87*t**2).\nAnswer: -21*t**3 + 6*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.3999914 - 6.4. What is c rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06437 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/((r**(-4)*r)\/r))*r**(-2\/21))\/(r\/r**(-2\/7)*r**5\/r))**43)**27 assuming r is positive.\nAnswer: r**(-84366\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3 and 95\/8 + (-3)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/19, 1\/2, -60\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - -10. Calculate the smallest common multiple of 22 and s.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**4 - c**2 + 1 + 260*c**3 - 266*c**3 - 1 as f*c**2 + x*c**4 + j*c**3 + k + h*c and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -30 in decreasing order.\nAnswer: -3, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - -13. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 7496?\nAnswer: 59968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142935 and 2748017?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + -205. Let o = -163 - p. Let b = o + -94.1. Is 0.1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1029*j**3 + 1030*j**3 + 0*j**2 + 0*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12801 and 1255?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + (39 + -13 - 64) + 90?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - 4230?\nAnswer: -4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-33)\/(-30)*10. Suppose 0 = -s*n + 62*n + 408. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*g - 146 - 219 - 19 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -2343. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-28))\/((-2203)\/(-30842))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*g - 2)*(0 + 5*g**3 + 0) + 11*g**3 - 11*g**3 - 13*g**4 + 7*g**3 - 3*g**4 - 2*g**3 - 6*g**3.\nAnswer: -g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 142\/7 - 4\/14. Let i = 40 - u. Suppose -5 = -m - 1. Solve 4*f + i = -m*c, -c - 5*f - 13 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**2 + 6*a + 6. Let j(i) = -i**3 - 11*i**2 + 11*i + 11. What is 6*j(z) - 11*v(z)?\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/13? (a) -3 (b) -178 (c) -0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/7)\/(11 + 450\/(-42)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - 0 - 0. Let s = 89.88 + -90. Let j = s - 4.88. Which is the third smallest value? (a) 2\/7 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 673 + 232. List the prime factors of v.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o = 588. Let w = 44 - o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Let i = 44 - 39. Suppose -2*o = 2*c - 16, -15 = -6*c + c. Let g(l) = 0 + o + 6*l - i. Give x(g(w)).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18 - 274*w - 187*w**2 - 309*w**2 + 20 - 14*w**2 wrt w.\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 168*t**2 + 221*t + 8924. What is s(-169)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1957 + 1833.3. Let x = g - -124. Which is the second biggest value? (a) -0.6 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80123\/9 + 8802. Let m = n - -101. What is the nearest to 1 in -1, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-21))**(-9\/5))**(-40))**(-26) assuming i is positive.\nAnswer: i**39312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 73*d**3 + d**2 + d - 1. Give r(1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 2*d**2 - 4*d + 6. What is y(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154961367.\nAnswer: 3, 11, 4695799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5209 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i + 1. Let v be m(2). Let n = -1 - v. Let b = n - -20. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 1, n: 2, m: 7, z: 2, k: 1}. What is prob of sequence ami?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - -25 - (-3 + 1 - (-19 - -5))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1650559*r**2 + 2122738 wrt r.\nAnswer: 3301118*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/34204 and 59\/28662.\nAnswer: 28833972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + (2 - (-84)\/(-16)). Let k = 1.69 - 2.95. Let h = -1.27 - k. What is the second biggest value in h, 1, o, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(363)*-2*3)**2 + (sqrt(363) - (-2 + (sqrt(363) + 0 - sqrt(363))))*-5.\nAnswer: 341*sqrt(3) + 13067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*u**3 - 106*u**2 + 13*u - 43 wrt u.\nAnswer: -534*u - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:45 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2385, -2692, -3203, -3918?\n\"Answer: -102*x**2 - x - 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 8, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 + 301. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from azqqzhaqmq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 13*b + 7. Let j be g(-6). Solve -j = -4*v + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-14478)\/9)\/(-2))\/(-1). Let m = b + 5111\/6. Suppose 4*n = 65 - 193. Find the common denominator of m and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0. Let z be (-3)\/2 - 10\/(-6). Which is the second smallest value? (a) -0.5 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02628506 rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 80*i**3 + 22*i**2 - 16. Let k(t) = -16*t**3 - 4*t**2 + 3. Give -2*a(x) - 11*k(x).\nAnswer: 16*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001374 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 12. Suppose -y - 5*q = 7, -i*y - 4*q = -7*q - 21. Solve y*s - 9 = 5*v + s, -4*s - 18 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243*t - 40*t + 22*t)*(0*t + 5*t + 17*t - 3*t).\nAnswer: 4275*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 1. Let f = 189 - 193. Give t(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 - 2*k**2 + 5*k - 4. Let b(a) = 7*a**3 - 3*a**2 + 10*a - 9. Let v(u) = 2*b(u) - 5*d(u). Factor v(y).\nAnswer: -(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 713, 715, 715, 713, 709, 703?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**(-13)\/f*f)\/f)*f\/f**12)\/(f**(2\/3))**(-3))**(-45) assuming f is positive.\nAnswer: f**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + (-27)\/6. Suppose 3*f = 4*l + 11, -f = 4*l + 2*f - 19. Calculate the remainder when (-3)\/(j\/(24\/9)) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11\/2 (b) 1\/9 (c) 3 (d) -0.4 (e) -2\/3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) -30 (c) 4 (d) -7 (e) 10 (f) 0.87 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**3 - 130*i**2 - 845*i = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(2 + 5\/(-3)). Suppose i*q = -2 + 8. What is the units digit of ((-4)\/(-6))\/(q\/36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 times 0.4?\nAnswer: -182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -9\/8248025 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15829057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -5*u**2 + 1\/3*u**3 - 9 + u. Let v be a(10). Solve -o = 5*y + 3, o - 2*y - 3 = v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i = 57*i. Let w = 2.5 - 1. Let h = w + -2. What is the nearest to -1 in i, h, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 17. Suppose -4*r + q*r + 19 = 0. 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 -636678 (base 11) in base 2?\nAnswer: -11111000110010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Suppose 1234 = 409*n + 454*n + 371. What is the closest to 2\/7 in 5, r, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -24. Let l = a - -26\/3. Factor 0 - 50\/3*j**4 + 10\/3*j**3 + l*j + 32\/3*j**2.\nAnswer: -2*j*(j - 1)*(5*j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28860 = 9*u - 85038. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32569 - -54008. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -234949 to the nearest 1000.\nAnswer: -235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9*3\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {z: 4, y: 1, o: 7, h: 1, j: 2, c: 3}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4886 and -41\/4.\nAnswer: 9772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + (0 - 0) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18580897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.08 + -0.08. Let y = 2.7 - v. Which is the nearest to 0? (a) y (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1485706351?\nAnswer: 593, 2505407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(5 - 22\/4). Calculate the highest common divisor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 16111748820.\nAnswer: 16111748819.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**8\/3360 - c**7\/840 + c**5\/120 + c**4\/48 - c**3\/3 + 3*c. Let s(u) be the second derivative of v(u). Factor s(n).\nAnswer: -(n - 1)*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.3. What is the third smallest value in 8, g, 0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r\/(r*r\/r**(-1\/3)*r))\/((r*r**(2\/5))\/r)**(-21) assuming r is positive.\nAnswer: r**(121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 - 4*o**5 - o**5 + (0*o - o - o)*(2*o**4 - o + o) + (-4 + 4 + 2*o**2)*(0*o**3 - o**3 + 0*o**3) - 2*o**5 + 4 - 4 + 1535*o**4 - 1535*o**4 - 122*o**5.\nAnswer: -136*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9003\/429 - 226\/(-16159)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30943, -61945, -92955, -123979, -155023, -186093, -217195?\nAnswer: -248335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -305.759 + 0.759. Let b = a + 309. Sort 0.4, b, 25, 1.\nAnswer: 0.4, 1, b, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -4. Let x be (-1 - -5) + (1 - i). What is the second derivative of -z + x*z**3 - 14*z**3 + 5*z**3 wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:19 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/20 - n**4\/3 + 2*n**3\/3 + 3*n**2\/2 - 3*n - 1. Let a be q(2). Solve -a + 2 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191055 and 987?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -178*a - 50 + 498 + 620. Let g = -10 + 40. Calculate the greatest common divisor of a and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from iimyheii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2 (c) 1\/11 (d) 379\/4 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lltssrrrrsrrtsrr. What is prob of sequence lt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25981 + 25981 - 174*d)*(3 - 3 + d**3 + (0*d - 2*d + 0*d)*(-2 + 2*d**2 + 0 + 0*d**2)) as v + j*d**3 + o*d + i*d**4 + l*d**2 and give l.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*p, -4*u - 4*p + 89 = -115. Let o = u + -6. What is the remainder when o is divided by (1 - -3 - -7) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9026 - 8561.28. Let m = 465 - s. Which is greater: m or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2512*y. Let s(r) be the second derivative of -r**4\/12 - 1595*r. Determine s(q(z)).\nAnswer: -6310144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 303\/1313*(-208)\/(-12). Let p(k) = 4*k**2 + 4. Let b(x) be the second derivative of -x**4\/3 - 5*x**2\/2 - 6*x. What is r*b(s) + 5*p(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 281*x + 5905 - 14616 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16803674 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: Simplify (-1 + sqrt(125))*-3.\nAnswer: -15*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 598\/15. Let i(n) = -19*n + 39. Let u be i(2). What is the biggest value in g, 2\/11, -3\/10, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2051*a = -2160*a - 7132 - 1261 for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 30545*r + 369. Let u(d) = -166*d - 2. What is 4*b(m) + 738*u(m)?\nAnswer: -328*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = -o, 5 = -3*q - q + 5*o. Suppose -4*b + 5*w = 13, 2*w - 10 = -q. Suppose 3*l - b = 6*l. Put l, 3, -3 in decreasing order.\nAnswer: 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-381)\/254)\/((-12)\/80))\/(8\/(-2)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - 5\/(-1)) + 19437\/(-4123))\/((-135)\/189)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + p**4)*(p + p + 0*p + (-2*p + 3*p + p)*(-2 + 1 + 3) + p - 3*p + 0*p + (3*p - 5*p + 3*p)*(-2 - 2 + 3) + p + 0*p - 3*p + 33*p + 30*p - 24*p).\nAnswer: 40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 2, l: 7, n: 2, u: 1, h: 2}. What is prob of picking 1 r, 1 n, and 1 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6024139.\nAnswer: 11, 53, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-84))\/((-3)\/2). Which is the smallest value? (a) 2.3 (b) 1\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3125063 (base 7) to base 14.\nAnswer: -9b1da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (0 + 1))\/((-146)\/(-186953)). Suppose -v = 9*s - 9131. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18396 or -1002?\nAnswer: -18396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83, 161, 233, 299, 359, 413, 461?\n\"Answer: -3*w**2 + 87*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2476 - 976 = 100*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 54, 159, 356, 675, 1146, 1799?\nAnswer: 2664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.5. Let d = 38 - 188\/5. Which is the smallest value? (a) o (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 27. Let t = -2001\/2 - -3026\/3. What is the common denominator of t and (-1)\/(-5)*w - 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 + 59 - 19*u)*(3*u**3 - 2*u**3 - 2*u**3) + 2*u**4 + u**2 - u**2 in the form z + l*u**4 + j*u**2 + f*u**3 + i*u and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u\/u**(-35))\/u*u)\/(u*u*u**(5\/9)*u)*u**(-21\/4)*u**(21\/4) assuming u is positive.\nAnswer: u**(310\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 54*4456\nAnswer: 240624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {l: 7, r: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 8:38 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 - 26 - 866*l**2 + 868*l**2 - 3*l - 2 as a*l**2 + u*l**3 + w*l + j and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) - (sqrt(84) + -2*sqrt(84))))\/(sqrt(343) - (sqrt(343) + sqrt(343)*1) - sqrt(343)).\nAnswer: -3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.259966 + -0.26. Round f to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:49 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 c when three letters picked without replacement from qtutcuuuututuuc?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (2*(sqrt(336) - sqrt(336)*-2))\/sqrt(12)).\nAnswer: -72*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8229248*o**4 + o**2 + 7*o - 743487?\nAnswer: 98750976*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Let f(s) = -5 - 4*s + r*s - 4*s + 3*s. Let b = -257 - -253. Let h(z) = -8*z - 14. Calculate b*h(v) + 11*f(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from bccq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*z - 2*z - 56 + 12 = -2*z, -6236*z + 6227*z + 153 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*v + 25, -4*x - 5*v - 25 = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37584 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 7. Let p be b(-7). Suppose -j - 17 = -p*j. Let g(l) = 2*l**2 + 17*l - 20. Is g(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*1*-3)\/(sqrt(360)\/sqrt(10)) - ((sqrt(637) - (sqrt(637)*-1)**2 - sqrt(637)) + sqrt(637) - (5*sqrt(13)*4 - sqrt(13))).\nAnswer: 11*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.0214804.\nAnswer: 0.107402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -215? (a) -0.2 (b) 1\/4 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**4\/12 - 5*m**3\/6 + 9*m**2\/2 + 2*m - 5. Let p(s) be the first derivative of q(s). What are the prime factors of p(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -8284924?\nAnswer: -828491c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -38019*r + 456313. Determine l(12).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43161799207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18996 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**3\/3 - 3*a**2\/2 + 2*a + 2. Let f(h) = h**2 + 4*h - 3. Let i be f(-4). List the prime factors of g(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 0.018 (b) -12 (c) 1\/7 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -u + 759, 5*f + 3024 = 3*u + u. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24036, -48055, -72084, -96123, -120172?\n\"Answer: -5*o**2 - 24004*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 7)*(-3*z + 6*z + 0*z)*(-4 + 6 - 3)*(2 + 1 + 6).\nAnswer: -135*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 6 - 20 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. What is the second derivative of 6 + 12*n**o - 6 - 8*n wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**3\/6 + 7*h**2\/2 - 4*h. Let k be i(5). Solve -k*l - y = -3*l - 3, -4*y = -5*l - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5 in increasing order.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3822*r + 30. Does 37 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77.7 + -77.5. What is the second smallest value in -2, n, 72?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568969 a multiple of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 2*r**4 - r**2 - 1 - 3*r - 8 to the form v*r + z*r**3 + g*r**2 + b + a*r**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r - 3992 - 397. Let z = r + 1035. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 3*f**2 - 3*f + 3. Let y be z(2). Let w be -1 + 4 + -1 + y. Suppose w*h + 4*t - 76 = 0, 5*t - t + 64 = 4*h. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {r: 3, v: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-1) + (-56)\/15. Is 1 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 0) + 18\/(-10). Let g(n) = n**2 - 6*n - 7. Let o be g(7). Let i be (-1 - (o + -1))\/2. Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -11. Let s = 19 + w. Let p = s - 11. Which is the nearest to 1? (a) 0 (b) 3\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2092*f + 46951 + 88176 + 12770 - 16101 = 0 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317 divided by -1.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.1. Let g = -425\/3 + 3389\/21. Let w = g + -20. Which is the nearest to 1\/3? (a) p (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544390 divided by 385?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 137 + 23. Is u\/(-2)*28\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15786 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 2. Determine v(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-4))\/5*(-226)\/(-339)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/1432038 and -23\/32.\nAnswer: 22912608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d7 (base 14) to base 11.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 21*x**2 + 15*x - 40. Let d be j(-20). Suppose 25*v - 3090 = d. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + 18 = 19*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from uupuzxu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/86 and 73\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z**2 + 29*z + 5. Let k(g) = -5*g**2 - 14*g - 2. Let y(m) = -4*j(m) - 9*k(m). Is 9 a factor of y(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.6 from 381.\nAnswer: 374.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11138c (base 13) to base 9.\nAnswer: 673325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 130675636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36673*22140.\nAnswer: -811940220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j. Let n(p) = 36576*p**2 + 2 - 2 - 39632*p**2. Determine a(n(g)).\nAnswer: -3056*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:59 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.5 + -74.5. Put u, -22, 3, -5 in decreasing order.\nAnswer: 3, u, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 154.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -92.\nAnswer: -9\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 33 + -80 - -51?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2559*d**7\/7 + 2*d**3 - 111*d + 1585. Find the third derivative of k(m) wrt m.\nAnswer: -307080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40170128.\nAnswer: 2, 257, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 9*v - 39 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.0755 + -0.0755. What is the nearest to -1 in r, 8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88499395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*u + 8, 4*u = f + f - 20. Calculate the greatest common factor of f and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 195172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53887870 and 292?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83957.\nAnswer: 59, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1737165181 to the nearest integer?\nAnswer: 41679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*t = 96, 0*x - 94 = -3*x + 4*t. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1)*2\/7. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + k + 33, -2*a + 2 = -a + k. Suppose -a*m + 1321 + 261 = 0. What are the prime factors of m?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -16.095. Let d = -0.495 - m. Which is the closest to d? (a) -0.1 (b) 0.5 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12685 and 16087160.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003435 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 79 = 25. Let v(r) = 6*r**2 + 2389*r - 7187. What is the remainder when m is divided by v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 429 or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*m - 21351, 65*m = 62*m - 3*l + 21339. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/14 (b) 1663\/8 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -16*(2 - 1). What is the tens digit of 16\/(-72) - 958\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, -0.1, 7337 in decreasing order.\nAnswer: 7337, 3.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -19*h**2 + 12*h + 4. Let o(x) = 4*x**2 - 3*x - 1. Let s(i) = 9*o(i) + 2*q(i). Let f(k) = k - 6. Let y be f(4). Calculate s(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*q + 12*q**2 - 15*q**2 - 69 - 53*q**2 - 4*q wrt q.\nAnswer: -112*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2239145 by 2239145.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 4*n - 6*n + 3*n as f*n + l and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -89, -132, -173, -212?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 28*w. Let y(z) = 253*z. Determine n(y(m)).\nAnswer: 7084*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -281, -564, -833, -1082, -1305, -1496?\n\"Answer: f**3 + f**2 - 293*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 33 = -4*o, -s + 4 = -o. Suppose -5*y + 2 = 4*v, -3*v + 2*y + s = -6. Suppose 0 = a - v*a + 8. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 211\/18810 and 137\/198?\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113074889 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13478?\nAnswer: 2, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -60, -133, -248, -411?\n\"Answer: -h**3 - 12*h**2 + 6*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-22))\/((-79)\/((-948948)\/(-504)))?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 62, 196, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 96*b**2 + b - 1. Let m(t) = t**2 + t + 1. Give -j(v) + m(v).\nAnswer: -95*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(1700) - 3*sqrt(272))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.112271 rounded to one dp?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/8*2\/14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 3*m - 41599. What are the prime factors of m?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 + 35 + 60*g)*(3 - 4 + 3)*(-3 + 1 + 4)*(0 + 1 + 2) as n + u*g and give u.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/28 - (-1)\/(-2). Let r be (24\/180*-24)\/(-4). What is the closest to r in 0.5, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -20*x**4 + 265*x**3 - 765*x**2 - 805*x + 245 = 0.\nAnswer: -1, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7762291.\nAnswer: 7762291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5811*p + 724361 = -12034*p - 1506264 for p.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814525871 to the power of 1\/2, to the nearest integer?\nAnswer: 42597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b - 45. Let c be m(5). Let d be 2\/(-4) - 11\/(-2). Let k be (8\/((-48)\/45))\/(48\/(-64)). Solve k*y - c = d*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 588 (b) -1\/26 (c) 0.5 (d) 2\/7 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2949, 2951, 2953, 2955, 2957, 2959?\n\"Answer: 2*t + 2947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxo when three letters picked without replacement from {o: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 21*o**2 - 41*o**2 + 20*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 6*g**3 + (-2 + 5 - 4)*(2*g**3 + 0 + 0) - g**3 + 2*g**3 - 3*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42330 (base 5) to base 6.\nAnswer: -21052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 15*z + 46. Calculate l(-13).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -661, -1086, -1515, -1948, -2385, -2826?\n\"Answer: -2*t**2 - 419*t - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44136 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 309019092?\nAnswer: 309019096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10324\/217 or -48?\nAnswer: -10324\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - f + 136 = 0, -3*u - 4*f = -1379 + 1455 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4308 - 4297. Solve 36 = 5*z + m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/1 + -1)\/1. Let w(g) be the second derivative of -g**3\/3 - 16*g**2 - 4*g. Let n be w(p). What is the greatest common factor of 20 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a millimeter in micrometers?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ystyuuygggyusun. Give prob of picking 2 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 107 - 18 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 1\/80*d**5 + 2*d - 1\/24*d**3 - 1\/60*d**6 + 0 + 1\/24*d**4 + 0*d**2. Factor v(w).\nAnswer: -w*(w - 1)*(w + 1)*(2*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-4*n**4 + 2*n**4 + 0*n**4) + (10 - 21 - 141)*(-1 + 0 + 2)*(-13*n**3 + 6*n**4 + 13*n**3).\nAnswer: -908*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187 + 194. Suppose -6 = 2*h - 8, 2*v - h - f = 0. Solve 0*b + 4*b = -v*c + 12, 4*b - 4*c = 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 5*r + 55. Let j be d(-5). Let b(p) = p**3 + 5*p**2 - 8*p - 8. Let h be b(-6). Put h, j, -41 in descending order.\nAnswer: j, h, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4740, -12755, -20770, -28785, -36800, -44815?\nAnswer: -52830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8449 - 6501. List the prime factors of r.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - j - 788 + 0*j.\nAnswer: j - 788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(561\/22))\/(-14)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:06 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-71)\/639)\/(122*(-1)\/(-8))?\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 16. What is the nearest to 0 in -1\/8, 1\/4, w?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128.7 at least 47\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 399 - 395 = 0, -3 = -k - 2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -31*u - 5*u - 25*u. Let q(n) be the third derivative of n**5\/30 - 174016*n**2. Calculate w(q(x)).\nAnswer: -122*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 32 = -3*y - 5, -3*y + 16 = -621*x + 619*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 62, 1 in decreasing order.\nAnswer: 62, 34, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2591.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 817399.\nAnswer: 26156768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242 (base 8) in base 2?\nAnswer: 10010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*0.2060583\nAnswer: -0.32969328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14605 or -14606?\nAnswer: -14606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v - 14. Suppose -2*a = -7*a - 50. What is the remainder when l(a) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/29 + (-2)\/21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683132.\nAnswer: 2, 67, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(-15\/4))**(-7\/3)*(((u*u*u\/u**(5\/6)*u)\/u)\/(u*u**2))\/(u**1)**(-35) assuming u is positive.\nAnswer: u**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2391836 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -17*f + 13*f. Solve 2*i + 2 = f*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42174865 and 14?\nAnswer: 42174879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - u**3 + 6 + 9 + 7*u**2 + 4*u. Let c be n(8). Let r = 68 + c. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 5*q**5\/12 - 3*q**4\/4 + q**3\/9 + 111*q - 180. Let m(o) be the first derivative of h(o). What is g in m(g) = 0?\nAnswer: 0, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94637 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 3:59 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -404*h**4 + 42*h**3 - 2*h**2 + 22096*h + 2 wrt h?\nAnswer: -4848*h**2 + 252*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 8:29 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r = 8*r + 31. Let y(q) = 2*q**2 - 9*q + 12. Let k be y(r). Put 1, k, -2\/7, 1.5 in decreasing order.\nAnswer: k, 1.5, 1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a factor of 41111786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 4*r + 4. Let d be k(-5). Let p = -10 - d. What is the units digit of 4\/6 + (-48)\/p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 456 - 447. What is the highest common divisor of a and 1485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + 3*r**2 - 2 + 2*r**2 + 2*r**2 as o*r**2 + m*r + t and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 718256 a multiple of 847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5\/9 - 22*o**4\/9 - 52*o**3\/3 - 232*o**2\/9 - 80*o\/9 = 0.\nAnswer: -2, -1\/2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 1156?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 45, 16, -51, -168, -347, -600, -939?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*i + 13 = 0, -i + 0*i - 2 = f. Let x be (-6)\/15 - (1817\/f + 2). What are the prime factors of -1 + (-35)\/(-20) - x\/(-4)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**5 + 5*r**5 - 4*r**5)*(1 + 0 + 1) - r**5 + 2*r**5 - 3*r**5 - 70*r**5 - 18*r**5 - 67*r**5.\nAnswer: -159*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.43087nm in meters?\nAnswer: 0.00000004443087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 = -2*o - 6. Find the common denominator of (0 + o\/(-4))\/6 and 63\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1534995 - 43.\nAnswer: -44.1534995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/12)\/(1280\/(-768))*89\/1*2?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4*a + 13, o - 3*a + 16 = 2*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1296815.2.\nAnswer: 6484076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9567\/30 + 44\/(-110) + 5\/2. Let x be (-1)\/2*-2 - 73. Let u = x + n. What are the prime factors of u?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25\/8, -0.5, 1.389, 4?\nAnswer: 1.389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2. Let p(s) = -2*s + 1. Let z(o) = -107 + 214 - 8*o - 101. Let i(t) = 6*p(t) - z(t). Calculate i(c(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*((-10)\/(-4) - 0). Let v be 584\/n*(-1065)\/6. Let c = 227979\/22 - v. Calculate the common denominator of 25\/6 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263*l**3*m**5 + 5*l**3*m**2 - 153*l**3*m - m**5 wrt m.\nAnswer: -15780*l**3*m**2 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 5)*(0 + 0 - 1)*(4 - 9 + 0) + 5 - 1 - 1)*(-1 - 4 + 0)*(-4*t + 2*t + 0*t).\nAnswer: -70*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -252, -504, -804, -1152, -1548, -1992?\nAnswer: -2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 5239.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.4 and 13?\nAnswer: 57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 264\/13 + 190\/13*t - 72\/13*t**2 + 2\/13*t**3.\nAnswer: 2*(t - 33)*(t - 4)*(t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/363 (b) -2\/69 (c) 7130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.46 + 0.54. Let t = 815 - 791. Let x = v - t. Which is the third smallest value? (a) x (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*i + 3447, i = 9*g - 10*g + 683. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-124)\/(-7) - -63*(-2337)\/7749.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 13*x**2 + 15*x - 10. Let v(l) = 3*l**2 - 15*l + 14. Let i be v(5). Let a be n(i). Suppose -a*m - 8*m + 360 = 0. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*m - 4*c - 2, -4*m + 5*c + 15 = 0. Suppose m*l = l. Is 2 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21244 - 21244 - 15*c**2.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 3*o**2 + o**3)*(-3*o + 5*o - o) - 7*o**4 - 5*o**4 + 89*o**4.\nAnswer: 78*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 123377*m. Let i(p) = 2*p**2 - 16. Calculate s(i(h)).\nAnswer: 246754*h**2 - 1974032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -904 - -1448. Let f = a + -339. What are the prime factors of f?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6957 + 12103. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2. Let p(j) = -89*j**2. Determine t(p(i)).\nAnswer: -7921*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(270\/(-12))*3*1\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5.5, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -971 divided by -166.\nAnswer: 971\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -0.8. Let p = z - 0.8. Put -4, p, 0.3 in decreasing order.\nAnswer: p, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2783 + -2780. Solve 12 = -2*g - g - l, 0 = l - z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1418.1165 to 0 decimal places.\nAnswer: -1418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17442 and -18.\nAnswer: -313956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362281.\nAnswer: 19, 71699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182509.\nAnswer: 182509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2251, -2996, -3851, -4810, -5867, -7016?\nAnswer: -8251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2293 + 2 + -2 + 0\/(-50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let r = x + 15. Let j = 7 - 7. Solve 5*i + j*a - r = 3*a, 3*i + a = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 - 3.89. Let j = m - -2. Let i be 8\/3*225\/300. What is the closest to 0.06 in j, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159075 and 6363.\nAnswer: 159075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-12)\/54?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -88, -2, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77805.\nAnswer: 3, 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -21*2\/18*-3. Solve -q - 4 = m, -i*q + 15 = -2*q - 2*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 42. Let f(d) = 3*d**3 - 4*d**2 + 2*d - 1. Let p(w) = -5*w**3 + 7*w**2 - 4*w + 2. Calculate z*f(q) + 4*p(q).\nAnswer: q**3 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 69.\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 1\/3*z**3 + 0 + 0*z + 0*z**4 - 7*z**2 + 1\/15*z**5. Differentiate p(n) with respect to n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1325 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28236, -28224, -28212, -28200, -28188?\nAnswer: -28176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -93d?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -4 (c) 4 (d) -2 (e) -0.09 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -10087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -108400 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 125 - 42 - 159*w - 43 + (0*w + 0*w + 2*w)*(4 - 3 + 3) + 4*w + w - 3*w as k*w + b and give k.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 0 (c) -2 (d) -5 (e) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**8\/210 - s**5\/60 - s**3\/6 - 9*s**2. Let f(a) be the first derivative of g(a). What is the second derivative of f(p) wrt p?\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.73855mg to grams.\nAnswer: 0.00873855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + 2*v + 10*v as k + x*v and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2527 = 13501. Let m = 1826 - g. Let i = m + -25640\/7. Find the common denominator of 65\/9 and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2087552 and -23\/3308992.\nAnswer: 311045248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -49, -85?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188981 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z + 18. Let i(g) = 2*g**3 - g**2 - g. Let l be i(2). Let k be d(l). What is the common denominator of 37\/10 and 104\/k + -1 + 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l - 575 = -1169. What is the remainder when 93 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -18*d. Suppose -5*u + 5 = 20. List the prime factors of k(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + 16*i + 10*i + 22*i - 85*i + 13*i + 13*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 220.6 * 446.53\nAnswer: 98504.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.106, -0.2, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*h + 3*h + 229, w - h = 61. What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(637) + sqrt(637)*-2) - ((0 + sqrt(637))*-5)**2.\nAnswer: -15925 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:35 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424 and 459934.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 2.02. Let z be ((-54)\/(-33))\/(3\/213). Let m = z - 116. Which is the second biggest value? (a) m (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-188)\/(-10))\/(88\/(-11880)*54).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 16940 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.949112 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let a be (q - 3\/(-9))*9. Solve -a*l - p + 6 = 0, l = -3*p + 4*p - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*k - 6*x + 211, 2*k - 141 = -3*x. Suppose -19*z + 27*z = k. Solve -5*f = -2*y - 14, 3*f + 3*y - z = 4*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12*b - 70. Let z be d(8). What is the highest common divisor of 182 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-8)\/224*8.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 22*r. Let d be (6\/(2 - 0))\/(2\/6). Let h(u) = -6*u - d*u + 0*u + 13*u. Give h(g(o)).\nAnswer: -44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -53, 1\/3, -3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316050)\/978250*(-26)\/(-6)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -a053 (base 14) to base 6\nAnswer: -331213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*y - 7*y. What is the tens digit of (y\/2)\/((-2)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 - 8*x**4 + 28*x**3 - 16*x**2 = 0 for x.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(133))\/sqrt(7).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -93 times 46808\nAnswer: -4353144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20000 - -12210000?\nAnswer: 12120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 22*j - 875. Give k(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 143f0ec - -2?\nAnswer: 143f0ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 148, 0.16, -3, 3, 2\/3 in descending order.\nAnswer: 148, 3, 2\/3, 1\/2, 0.16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4\/8 + 12171*n**3\/8 + 12338331*n**2\/8 - 12423567*n\/8 - 37051569\/4 = 0.\nAnswer: -2029, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -29400 less than -29411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -3\/4, -4\/9, 0.4 in ascending order.\nAnswer: -3, -3\/4, -4\/9, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 162481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 14*n**2 - 1 + 1. Suppose -4*i - 2*c + 0 - 12 = 0, -2*i + 2*c + 6 = 0. Is 9 a factor of w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/8)\/(11\/44). Solve 5*y - 2*b = 21, 4*y - 2*b - z = 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 24\/10)\/((-5)\/400). Put -4\/3, 5, g, 2\/7 in decreasing order.\nAnswer: g, 5, 2\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3353973?\nAnswer: -3353973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 535.\nAnswer: -2675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 6, 0 = 5*z - 3*z - 2*t - 6. Suppose z = -5*f + 16 + 4. What is the least common multiple of f and 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 5*k**3 + 5*k**3)*(k**2 + 6*k**2 - k**2) + (1 - 1 - k)*(4*k**3 - 2*k**3 - 4*k**3)*(-79*k + 9983 - 9983).\nAnswer: -170*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -28*a**2 - a + 1. Let o be d(1). What are the prime factors of o\/70 + 5\/(25\/392)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Let q(z) = 6*z - 7. Let l be 2 - (1 + -1 - -3). Let s(m) = m - 1. Let j(f) = l*q(f) + 4*s(f). What is -2*j(y) + 6*k(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 + 1. Let k = -12 + 11. Let y be m(k). Solve 3*j - 15 = y*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103329 and 4257?\nAnswer: 1136619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 2 - 2)*(-3 + 3 + 2*s) in the form h + x*s and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (56\/8)\/(28\/16). Solve -h*a + 2*a + 10 = 4*t, 4 = 4*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Let m(k) = -24*k - 10*k + k - k. What is a(m(c))?\nAnswer: 1156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 - 259 - 279 - 2*p + 540 - 28*p**3 in the form d + l*p + r*p**2 + t*p**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 45*u - 467. Determine r(26).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247 - -244. What is the biggest value in 0.09, -0.5, -2\/3, w?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57821339.\nAnswer: 109, 263, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -39*0.08\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -2975 and -2976 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2172*n + 3*n**2 + 20 - 446 + 2595*n.\nAnswer: 3*(n - 1)*(n + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a9b19 - -6?\nAnswer: a9b1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -86, 0.4, -2\/55, -1, 0.3 in descending order.\nAnswer: 0.4, 0.3, -2\/55, -1, -4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Let h(r) be the first derivative of r**4\/6 - 3*r - 2. Let s(n) be the first derivative of h(n). Give s(o(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 164 (base 8) to base 15\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:22 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -203 - -263. Suppose -46*o + a = -26*o. What is t in o + 5\/2*t - 7\/2*t**5 - 22*t**2 + 21*t**3 - t**4 = 0?\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6292.7 + -6293. Let h = 0.1 - -0.9. Which is the third smallest value? (a) 0.5 (b) h (c) o (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w + 14. Let h(l) = 3*l - 5. Let v(d) = -5*b(d) - 14*h(d). Let a(f) = 2*f. Calculate a(v(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 76124 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -16051 + 50803. What are the prime factors of x?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -4*(-3)\/6. What is the second derivative of -11*q**k - 6*q**5 + 2*q + 3*q - 3*q**5 wrt q?\nAnswer: -400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:04 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g - 40*g - 3 = 0. Suppose 489*q + k + 24 = 494*q, -4*q = -3*k - 28. Which is the smallest value? (a) q (b) g (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-65)\/(-4))\/((-138)\/3128*-17)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5 = 5, -2*n - 1 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3*b*n*t - 2*a**3*b - 3*a**3*n + 28*a**2*b*n + 10*n*t wrt b?\nAnswer: a**3*n*t - 2*a**3 + 28*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 10 = -3. Suppose -5*m - 35 = 2*h, 4*m + 27 = -h + 8. Let t = v - h. What is the lowest common multiple of t and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31906 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let k(v) = -4933*v**2. Calculate m(k(q)).\nAnswer: 4933*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d - 7 + 5*d + 3*d - 9*d. Give z(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 15, 23, 37, 57?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2795757 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31848204669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 124, 1031, 3464, 8185, 15956, 27539?\n\"Answer: 127*d**3 + d**2 + 15*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4))**(-1\/28) assuming p is positive.\nAnswer: p**(3\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 6*k - 2. Suppose 9 - 2 = -b - 5*f, -2*b - 4*f = -16. Let y = b - 27. What is the remainder when 47 is divided by g(y)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.012+4137789.2001\nAnswer: 4137789.1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 301 + -290. Solve -p = -4*i - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3434303?\nAnswer: 37, 101, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2210 and 1257880?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 89*d - 41. Let f be l(-45). Let r be f\/(-3) - (7 + (-424)\/48). What is the second biggest value in -2, r, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:03 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 11 (c) 0.02 (d) 3\/2 (e) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c - c + 13 + c**2 - 8. Let h be f(0). Let l = h - -26. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 2 + 2*i**2 - 13*i**4 - 2*i in the form d + x*i + s*i**3 + k*i**4 + u*i**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4b78897 + -1?\nAnswer: -a4b78898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77662, -155326, -232990?\nAnswer: -310654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/15 - 4*r\/15.\nAnswer: 2*r*(r - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 20*r**2 + 23*r + 126. What is x(-5)?\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008101202 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n + 4*n - 3*n. Suppose 11 = 4*h - v, 5*h - 5 - 20 = 5*v. Let r(z) = 2 - h + 2*z. Calculate r(f(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 34\/5 of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.13 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*v - 1000025, -5*r + 2*v + 1422837 - 172827 = 0. Suppose 2*f = 4*f - 10. Suppose -f*o = -0*o + r. What is o rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + 28\/(-45). Let g be (-2 + 10\/8)\/(-6). Suppose 223 = 103*d + 9*d - 225. What is the nearest to n in g, 2, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238 + -752\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + (-3 + sqrt(288) + 1 - (sqrt(162) + 5*1*sqrt(2))))**2.\nAnswer: -12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let x(v) = -12*v**2 - 131967*v. Calculate c(x(t)).\nAnswer: -24*t**2 - 263934*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 11*v**2 + 159*v + 634. Determine l(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1. Let x(r) = r - 1. Let d(k) = 2*x(k) - z(k). Let f(i) = -i**2 - 4*i + 2. What is -5*d(q) - 2*f(q)?\nAnswer: 2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*(14580\/160 + -90).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t = 34*t. Solve -5*b + 0 - 15 = t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 4*a - 1. Let c be b(-3). Suppose 125 = 125*s - 250. Suppose c*n = -5*h + 13 + 16, -n + s*h = 2. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 10*x**2 + 11*x + 23. Give j(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -3 - 20\/(-10). Suppose -9*k = -10*k + b. Let c be (k\/45)\/(1\/5). What is the biggest value in c, 4\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 20. Let p = 17 + -15. Suppose -2*m + t*m = p. What is the closest to m in -0.5, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-26 + 28 - 104)*(-2*i + 0 + 0) + (15*i + 17*i - 12*i)*(4 - 4 + 1) to the form x + d*i and give d.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10457305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.7 > 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*g - 15 = 3*d, -5*d - 5*g + 135 = 0. Suppose 3*b + 1 = -2*u, -b + d = 4*b - 2*u. Find the second derivative of 4*v - v**4 + 0*v - b*v**4 wrt v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-20)*((-519)\/519)\/(10\/4).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 28 = b + 11*t, -5*b + 19 = -2*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 17 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 90. Let r(v) = -2*v - 9. Let f be r(-6). Suppose -3*i + h = f*t, 4*i - 4*t = 90 + 22. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209 - 205. Put p, -7, -2, 2 in ascending order.\nAnswer: -7, -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -2, 1\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*x**2 - 17*x**2 - 11*x**2 - 10*x**5 + 4*x**4 + 41*x**2 - 4 wrt x?\nAnswer: -600*x**2 + 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1741*m - 3755*m + 1657*m to u*m + z and give u.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-93)\/21)*-7. Let w = 71 + -65. Suppose -4*f + w = -2*f, 2*q - 9 = -f. Calculate the highest common divisor of q and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*151\nAnswer: -90.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105896 and 72632.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:10 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 3. Let u be -9*((-3)\/3)\/3. Let h = u - -1. Give r(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1435 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2094*v**3 - 5064*v**3 - 3378*v**3 - 1200*v**3 + 588*v**3.\nAnswer: -11148*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, z: 1, l: 4, d: 1, b: 5}. Give prob of sequence zdb.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1165338629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*t + 86249*j*t + 760955*t with respect to j.\nAnswer: -2*j*t + 86249*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*p = 24, m + 1105*p - 1103*p = -2 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 63054?\nAnswer: 63053.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k**3 - k)*(k + 2*k - k) + (2*k + 3*k - 3*k)*(k**3 - k + k) + 72*k**3 + 16*k**4 - 72*k**3.\nAnswer: 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8 + 13 - 18 + r. Suppose -2*y - 5*s = -y - 33, -4*y + 3*s = -17. Let o = y - 14. Give x(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 - 7*i + 10. Determine p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 6*m**2 + 115*m + 51. What is the thousands digit of c(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 2, h: 3, c: 11}. What is prob of picking 1 h, 2 d, and 1 w?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 36 = -5*h + 14, -2*v = -2*h. Solve -v*s - 17 = -2*k, -7*k - 5*s - 11 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/625689 or 1?\nAnswer: 41\/625689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -30, 4, -3 in increasing order.\nAnswer: -30, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = -11*c + 6*c. Suppose j - 3 - c = 5*z, 2*j = -z - 24. Let g be -3*12\/9 - z. Calculate the highest common divisor of g and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 - 4*z**4 + 34*z**4)*(-1 + 3 - 3).\nAnswer: -35*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 64*r + 1888. Let p be t(-27). Solve -150*j = -p*j + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 67 = 2*v. Suppose -2*f = 2*a - 1606, 0 = 5*f - 2*a - 2034 - 1876. What is the remainder when f is divided by v?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6291, 6409, 6605, 6879?\n\"Answer: 39*q**2 + q + 6251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2 + 500*t + 2475 = 0.\nAnswer: -495, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4697*0.0413\nAnswer: -193.9861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7267 rounded to 2 decimal places?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1707*a**3 + 25627*a wrt a.\nAnswer: -10242*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 4*p + 21. Let u be y(-7). Suppose u = 20*h - 15*h. Solve q + 0 - 3 = h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001657459839 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:55 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - 38) + (0 - 5 - (-16 - 2))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -176, 5, -84, -634 in ascending order.\nAnswer: -634, -176, -84, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**2 + 69*f - 24. Calculate o(8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from ggggcgcg.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 1203, 1732, 2261?\nAnswer: 2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.673 to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 11*c**2 + 6. Let w be k(-11). Suppose 0 = 3*x - w*x + 15. Solve 5*z - 5 = x*n, -2*n - z = -5*z - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*m = -196*m + 54 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 924.9933 decades?\nAnswer: 92.49933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 6*o + 15. Let n(u) = -u. Calculate -6*n(r) + y(r).\nAnswer: -r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27573*771.\nAnswer: 212.58783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438*c = 439*c - 79. What is the remainder when c is divided by (-2 + -2)*50\/(-5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 2\/13 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 4 + 4 + -1. Let a(g) = -g**3 + 20. Calculate the remainder when a(v) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -32?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) + sqrt(7) + (sqrt(7)*1 + sqrt(7))*5) - sqrt(40)\/(sqrt(40)\/(sqrt(5)*-1)).\nAnswer: 13*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y - 7*y + 209 = -197 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 962.7599 weeks?\nAnswer: 582277187.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -456, -651, -4, 2 in decreasing order.\nAnswer: 2, 0, -4, -456, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 530936877, 530936875, 530936873?\n\"Answer: -2*p + 530936879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 10:49 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576131637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 17*z + 4*z)*(1 - 1 + 4*z - 1 + 1 - z + (4 - 2 - 3)*(-z + 3*z - z))*(10*z**3 - 93*z**2 + 93*z**2).\nAnswer: -240*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4362057.\nAnswer: 3, 7, 69239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*l**5 - 187310*l**3 + 939964*l**2 + l - 16.\nAnswer: 1500*l**2 - 1123860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 + 96*x**4 + 375*x**3 - 1050*x**2 - 6768*x - 7776 = 0.\nAnswer: -27, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -3*z - 15, -5*o + 4*z = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2002 - -11505?\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/74*(49\/(-14) - -3). Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*f - 25164, 1185*u - 1190*u - 6285 = -f. Is f a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -7359.7.\nAnswer: -103035.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*g**2*p**3 - 155*g**2*p**2 - 1116*g**2 - 2*g with respect to p.\nAnswer: -24*g**2*p**2 - 310*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 5, -246, -0.5 in ascending order.\nAnswer: -246, -0.5, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17595 + -17189. Calculate the greatest common divisor of n and 1386.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13)\/(-6))\/(-13))\/((-22)\/198)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-46))\/(3\/78) and -51\/10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1674 and (-128)\/(-6)*180\/240?\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4*y**2 - 5*y - 7. Let k be p(6). Suppose 3*j + 8 - k = 0. Calculate the highest common factor of j and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uru when three letters picked without replacement from urrrrruuurprprruuu?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**3\/6 - 11*m**2 + m. Let k(h) = -h - 17. Let z be k(-14). Let i(b) = -5*b - 4. What is z*t(x) - i(x)?\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - 0.6. Which is the second smallest value? (a) m (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 77, 108?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 4*60\/4. Let r = -24 + j. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4)*(-5320 + 5320 - 235*y)*(y**4 - 2*y**2 + 2*y**2).\nAnswer: 940*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + 2*i - 1. Let g(q) = q**2 - 10*q - 4. Let t be g(8). Let f = t + 6. Let c = f - -5. Let r(w) = -13*w**2 + 8*w - 5. Give c*v(y) + 2*r(y).\nAnswer: y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53115 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1793455, 1793445, 1793435, 1793425, 1793415?\nAnswer: 1793405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752 (base 9) to base 3.\nAnswer: 211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**3\/3 - 1064300*g**2\/3 + 23600586304*g - 259563524352 = 0.\nAnswer: 11, 133032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t**3 - 2*t**2 - 3*t - 10*t**4 + 19*t**4 + 11*t**3 - 12 - 5*t**4 to the form s + a*t**3 + m*t + o*t**4 + l*t**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421667 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + 2*n**3 - 6*n**3)*(-13*n + 1 - 1) - 2*n**4 + 4*n**4 - 4*n**4 + 26*n + 10*n**4 - 26*n.\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrb when three letters picked without replacement from jbrrdbrdrrr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:56 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 26)*(3 - 2*j**3 - 3) - 4 - 2*j**3 + 4.\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - 0.16. Let s = 19.05 + -18.65. Sort s, d, -3, -0.2 in ascending order.\nAnswer: -3, -0.2, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -364 + 540. Suppose -b = -16*z - 32. What is the smallest common multiple of z and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5008*g + 19936*g - 4978*g - 4993*g + 1 - 5021*g.\nAnswer: -64*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = -2*x, x - b - 2 = 2. Let l(d) = -d**3 + 4*d**2 - d + 408. Let c be l(0). Suppose 0 = -x*m + 4*m + c. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*d**5 + 65*d**4 + 70*d**3 + 25*d**2.\nAnswer: 5*d**2*(d + 1)**2*(4*d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:03 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12272 - 11828. Calculate the remainder when c is divided by 172.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**4 - 186*k**2 + 2 + 20*k + 186*k**2 to s*k**4 + j*k**3 + m*k**2 + p*k + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4825d8 - -26?\nAnswer: -4825b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 21\/8, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, o: 6}. Give prob of sequence ro.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -5 (b) 10.214 (c) -0.2 (d) -0.3 (e) 6 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 34?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 - 640 = -c - 3*o, -3*c + 3643 = -4*o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w**3 - 2*w**2 + 3*w + 4. Let i be h(-2). Let b = -20 + i. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905555345.\nAnswer: 5, 47, 3853427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**4\/12 + 22*u**3\/3 + 45*u**2. Let m be s(19). Let o(n) = -3*n**2 + 19*n. What is o(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 19. Let h(g) = -3*g**4 - 4*g**2 - 4*g. Let j(x) = -x**4 - x**2 + x. Let a(y) = z*h(y) - 4*j(y). Find the third derivative of a(p) wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3453080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.381 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/14)*y)\/y**7)**(-35)*(y**(-2\/5)\/(y**2*y))\/(y\/(y**(-6)*y)*y*y**7\/y*y) assuming y is positive.\nAnswer: y**(1901\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 32\/1099443 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 124.0986 times -69\nAnswer: -8562.8034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111408*h**2 - 54*h + 10228871 wrt h?\nAnswer: 222816*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -13*a**2 + 14*a + 1. Let t(m) = -m**2 + m. Calculate 2*n(j) - 22*t(j).\nAnswer: -4*j**2 + 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-10 + 3) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*k**2*y + 140*k**2 + k*y wrt y.\nAnswer: 19*k**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -127. Let c(p) = 14*p**2 - 2*p + 8. Let a(q) be the second derivative of 3*q**4\/4 - q**3\/6 + 5*q**2\/2 + q. What is m*a(u) - 5*c(u)?\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-20))\/(-8*(-1)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1093594181 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*k + k - 4*k to m*k + w and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -53. Let y = b - -44. Let u = y + 52. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 + -111110001110001?\nAnswer: -111110010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3562 in -6841, 3, -0.3?\nAnswer: -6841","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 81*i - 328. Give r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 82*a**3 - 301*a**3 - 4.\nAnswer: -219*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.531 + -0.049. Let h = -34677 + 34680. Which is the nearest to p? (a) -1 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -195, -192?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -407.4 + 488. Let u = z - 84.6. Which is the third smallest value? (a) u (b) -3 (c) -28\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*i = -13375, -9*w + 8001 = -6*w - 3*i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbq. Give prob of picking 3 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**3 + 628*y**2 + 180*y - 11. Determine h(90).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, 24, 83, 176, 309?\n\"Answer: n**3 + 8*n**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14) - (11\/(3927\/(-8381)) - -7).\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/6)\/((-218)\/981))\/(-28)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 473720 and 2600?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, t: 5}. What is prob of picking 3 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5805 and 538919?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/15)*n*n*n**(2\/9)*(n**(1\/5)*n)\/n**(7\/2) assuming n is positive.\nAnswer: n**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43541 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/1209 and -91\/94722?\nAnswer: 38172966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2924 or -2925?\nAnswer: -2925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 - 8*p**2 + 6*p**3)*((6 - 1 - 4)*(-3 + 5 - 1) + 3 + 2 - 4 - 3 - 6 + 1).\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -1197*o**2\/2 + 1369*o - 1666. What is the first derivative of f(y) wrt y?\nAnswer: -1197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 + (-33)\/44. Let z = -1 - f. Let p = z - 12. Is p less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/918044 and 9\/14?\nAnswer: 6426308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (328\/(-4) + -2)*(5 + -6). Suppose -19*h + v = -13*h. What is the highest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6762*g - 6755*g = 0. Solve 0 = -4*r - a + 12 + 1, g = 4*a + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*n + 509*n - 834*n.\nAnswer: 117*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20 and -0.12?\nAnswer: 19.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 61. Let y(q) = f + 3 + 27*q**2 + 3 - 21*q**2 - q**3 + 6*q. Let x be y(7). Solve 4*u + 5*w - 17 = 3*u, 2*u + w + 2 = x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + 26\/6. Let o = f + -3. Let u(a) = 4*a**3 - a. Let p be u(o). Let k(w) = w + 3. Calculate k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -3*g**4\/4 + 5*g**3 + 69*g**2 + 120*g + 2281. Determine c so that f(c) = 0.\nAnswer: -4, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*x + 212*f*x - 6*x + 117 wrt f.\nAnswer: 4*f*x + 212*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and -1 - (5\/(-3))\/((-1)\/(-33)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppa when three letters picked without replacement from {p: 3, j: 2, a: 1, u: 10}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 1 + 14 - 70*n + 67*n + 326*n**3 - 15.\nAnswer: 326*n**3 + 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 x, and 1 h when four letters picked without replacement from {u: 2, h: 1, x: 3, c: 2, s: 2, l: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -262 (base 10) to base 15\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 16*x**2 - 27*x - 8. Calculate b(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1788877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*j + 16, 4*q = -0*j + 3*j - 44. Let x(s) be the first derivative of s**3\/3 + 9*s**2\/2 + 8*s + 877. Give x(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -278\/411 - -4\/411. Which is the nearest to -1? (a) 4 (b) -0.5 (c) 1.3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**2 - 2*d + 1. What are the prime factors of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.0893 to 1 dp.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Let c(f) = -f + 7. Let v be c(x). Let q(i) = 4*i. What is the remainder when q(v) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569 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: Express -70*o + 5*o - 31*o + 10*o in the form h*o + x and give h.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 126 = -2*n, 5*n - 2*n - 225 = -3*s. Suppose -4*z = -n + 51. What is the remainder when 7 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2865 is divided by 239.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 3. Let c be h(-8). Let p(d) = 2*d**3 + 4*d**2 + 4*d + 2. Let s(n) = -3*n**3 - 5*n**2 - 5*n - 2. What is c*p(r) + 4*s(r)?\nAnswer: -2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 9, 26, 45, 66, 89?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/13311 and 1\/203?\nAnswer: 93177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkhpxxxkkckkkkhx. What is prob of picking 1 k, 1 p, 1 x, and 1 h?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, m: 8, n: 5}. What is prob of picking 3 n and 1 m?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313424, 313422, 313420?\nAnswer: 313418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29033037 minus -0.5?\nAnswer: 29033037.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168095470*g**2*n**3 - 1166484*g + 15*n**3 wrt g.\nAnswer: -336190940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -2\/3*i**3 + 1\/60*i**5 + 0*i + 10*i**2 + 1\/8*i**4 + 0. Calculate t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/24 + 11*h**3\/6 - 5*h**2. Let p be q(8). Solve -22 = -3*z + 5*g, -p - 11 = -5*z + 5*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 47*a**2 - 1 + 36*a - 4 + 48*a**2 as p*a**2 + z + c*a**3 + x*a and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 3*r**2 - 2*r - 5. Suppose 5*s + 24 = -g, -3*g + s + 8 = -4*s. Is 7 a factor of z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3479 - -46.6521. Which is bigger: -18 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*j + 8, -8*y - j = -6*y - 2. Sort 2, 4, y, -9.\nAnswer: -9, y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/10010 and -151\/6846.\nAnswer: 4894890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37 + -0.42. Let i be ((-40)\/15)\/((8\/3)\/(-4)). Suppose -i*x = -0*x + 20. Put x, g, 4 in ascending order.\nAnswer: x, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1205252 - -2026?\nAnswer: 1210311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -11*p**2 + 108*p + 23. Let l be c(10). Suppose 8*g - l - 21 = 0. Solve -4*y = -3*f - 29, -2*y - g*y - f = -22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321676165 to the power of 1\/2, to the nearest integer?\nAnswer: 17935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 197177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 343898.282 rounded to the nearest 100?\nAnswer: 343900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4906 + -3483. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2887790*j**2 + 17999497?\nAnswer: 5775580*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-11) + 10 + -6. Let b(r) = r**3 - 4*r**2 - 4*r - 1. What is b(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -690 in ascending order.\nAnswer: -690, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 9*s**2 + s - 7. Give c(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n, 2*o - 3*n + 13 = -1. What is the third biggest value in 3, o, 1\/2, 4\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqbvbcccvcccccucvq. Give prob of sequence bq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -0.1, 0.5, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*t**3 - 2*t + 2*t + 2*t**2 + 0*t to the form n*t**2 + q + g*t + i*t**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*n - n + 17 = 0, -2*b + 3 = n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 822 = -5*f, 0 = 3*f + 7*d - 2*d - 502. What is the lowest common multiple of f and 984?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(416\/192))\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 53. Let t be (-2)\/9 - (-1428)\/594 - s. What is the nearest to 1 in t, -2, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1914289*-17\nAnswer: 32542913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(114\/(-27) + 4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-39)\/(-52))\/(-6 + 5))\/((-6)\/(-4)). Let w = -3 + 3.4. What is the second biggest value in w, -2\/17, 3, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1704)\/2840)\/((-3)\/(-195))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -493 + 350. Let u = j + 143. Solve u = 3*b - 3*z - 4 - 14, -5*z - 18 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72 - 103 - 215)*(3*t**3 + 3*t - 5*t + 1 + 0) - 5*t - 5*t**3 + 5*t to the form a*t + b*t**2 + p*t**3 + q and give q.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 28. Suppose -26 = -h*o + 72. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311275 (base 11) to base 8.\nAnswer: -1717371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62 - 5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/283241 and -64\/9?\nAnswer: 2549169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g. Let m(u) = 18233*u. Give v(m(r)).\nAnswer: 109398*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -16 - 13 + 4*l**2 - 6*l**2 + 25 - 13*l. Let c(u) = u**2 + 6*u + 2. Determine -13*c(s) - 6*d(s).\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00095333475 to 7 dps.\nAnswer: -0.0009533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/200 + -389\/2200. What is the nearest to x in 1\/3, 0.3, 0, 0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, p: 4, n: 2, s: 7, h: 1, o: 1}. Give prob of picking 2 n and 2 p.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123062 (base 7) in base 10?\nAnswer: -140331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/5 - (-9)\/15. Calculate the greatest common divisor of r and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/6 + 4*g**3\/3 + g**2. Let k be j(2). Solve -2*q - q = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123018704 a multiple of 7871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 13, o: 5}. Give prob of picking 2 f and 1 o.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 5, n: 3, e: 6, o: 1, m: 1}. Give prob of sequence om.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/2774 and 77\/152.\nAnswer: 11096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/10)\/b)\/(b*b**(-5\/2))*(b*(b*(b\/(b**(2\/9)\/b*b))\/b)\/b)**(-23) assuming b is positive.\nAnswer: b**(-769\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38737805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 86.46 (b) 37.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821029 a multiple of 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 29\/4 (c) -9\/4 (d) 0.08 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20947 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 0.2, 32\/15, 0.3?\nAnswer: 32\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 74 + 414. Suppose 5*t - 3*i + y = -0*i, -4*i + 136 = -2*t. What is the remainder when 101 is divided by (-1)\/(70\/t - -1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*n + 2098*n = 9568. Let -1\/4*d**n - 7\/4*d**3 + 0 + 1\/4*d**2 + 7\/4*d = 0. Calculate d.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26*16\/(-520))\/((-4)\/20)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:23 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/539 and -76\/231?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/(c\/(c*(c*((c**(-7)\/c)\/c)\/c)\/c*c)))\/c*c**(1\/2) assuming c is positive.\nAnswer: c**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -306059 from 98.64.\nAnswer: 306157.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33418\/5 + 19\/(2185\/(-184)). What is the highest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4213 (base 5) to base 2.\nAnswer: -1000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6107917?\nAnswer: 71, 86027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**4 - 6*i**4 + 3*i**4)*(6420 - 5670 - 3682) as q*i**4 + x + l*i**2 + p*i + c*i**3 and give q.\nAnswer: 2932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101202310 - 2210?\nAnswer: 101200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 247571873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -0.2. What is the closest to 2 in -2\/11, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 9a?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 489076 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/25)\/(((-378)\/(-60))\/9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38973?\nAnswer: 3, 11, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = j + 5*o, -3*j + 8*o + 9 = 10*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (2 + -4 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 6*i**2 + 2*i - 1. Let a be q(7). Suppose -3*o + o + a = 0. Let l = o + -14. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 5110339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/6)\/2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(-11)\/286*36\/20*(-5)\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14919, 29852, 44781, 59706, 74627, 89544, 104457?\nAnswer: 119366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.214141 minutes in days?\nAnswer: 0.02862093125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 785 - 778. Suppose -114*w + 115*w = 2. Suppose -3*x = 2*x - 10. Solve -3*r - h = z, 3*h = -x*r + h + w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let m be (-1 + (f - 2))*-3. Solve m*o + 5*h - 4 = 28, 16 = 4*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-78)\/(-24) + -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -26341716 times -0.2\nAnswer: 5268343.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 2372?\nAnswer: 7116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + -8 + 18\/(-192) + 9 and -38\/23.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 (base 15) in base 5?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 0) + (244 - 0). What is the units digit of t\/13 + (-3)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7708429?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/240 - (-5)\/(40\/(-692))*1\/1?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 141089254 - 49819270 = -4*h, -3*h + 821430012 = 9*y. What is y rounded to the nearest one million?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1273.9999107 - -1274. What is a rounded to six decimal places?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1011775795 to the nearest integer?\nAnswer: 31808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/120 - q**5\/15 + 5*q**4\/24 - 2*q**3\/3 - 2*q**2. Let a be t(3). Suppose -4*d - a*d = -546. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9958517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t**3*x*y**2 + 44*t**3*y - 33*t**3 + 6409*t*x*y + 3*t*y**2 - 3*t*y with respect to x.\nAnswer: -4*t**3*y**2 + 6409*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -s - 1, 0 = 5*s - 4*x - 54 + 21. Let a = 8 - 8. Suppose a = -s*j + 19 + 1. Calculate the highest common divisor of j and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 5*h**2 - 13*h + 10. Let v(p) = 3*p**3 - 21*p**2 - 53*p + 45. Give 9*n(z) - 2*v(z).\nAnswer: 3*z**3 - 3*z**2 - 11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 25*x. Let i(j) = -j. Let v be ((-4)\/(-3))\/((-678)\/(-54) - 13). Calculate v*i(m) + z(m).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/sqrt(44)*2)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/48)\/(2\/8)*30\/(-75).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 12*z + 19. Let p be k(-7). Is 51 + (p - 11) + 3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13511119?\nAnswer: 13511119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166344355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 563. Let g(r) = -2*r. Give l(g(k)).\nAnswer: -4*k + 563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16261.45156 rounded to the nearest one hundred?\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q. Let z(n) = n**2 - 28*n + 37. Let c be z(27). Let m(b) = c*b + 60548 - 60548. Determine m(o(r)).\nAnswer: 130*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0 + 0*o**5 + 1\/24*o**4 + 0*o + 12*o**2 + 0*o**3 - 1\/6*o**6. Find the second derivative of s(u) wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110e0 (base 15) to base 8.\nAnswer: -151702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -647121.1 to the nearest one hundred.\nAnswer: -647100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91*8.6808.\nAnswer: -789.9528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-65) - (-3916)\/210. Let o = 54\/7 - d. Find the common denominator of -7\/6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k = -5*r - 6, r - 5*k = -12. Which is the fourth biggest value? (a) r (b) -3 (c) 9 (d) -0.2 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n - 32. What is w(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -623634, -3, 12.\nAnswer: -623634, -5, -3, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*-1)\/(-5*-2*sqrt(12)) - (-6*sqrt(63)\/sqrt(3))\/(sqrt(432)\/sqrt(9)).\nAnswer: 13*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -191 + 829\/4. What is the common denominator of (57\/16)\/((-60)\/(-16)) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 20. Let n be p(10). Solve 3*h + 5*f - 17 = 0, 2*h + n*h - 7 = f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*w = -20, 5*v + 15 = -0*v + 3*w. Suppose -m + 3*z + 268 + 53 = v, -5*m - 3*z = -1515. Let q be 88\/18 - (-34)\/m. Solve 0 = -2*a + a + q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 1:00 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51.8 and -0.021.\nAnswer: -51.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 6) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348 is divided by 156.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 885.\nAnswer: -88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*p - 3, -2*o + 0*o - 4*p - 10 = 0. Let n be (o\/3)\/((-1)\/(-1)). Let a = -1 + 0.9. What is the biggest value in 0.4, n, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*o - 16 = 0, -2*j + 3*j - o + 2 = 0. Suppose -5*p - 2 = -67. Calculate the remainder when ((1 - 3) + -48)*j\/(-4) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -705 + 709. Solve -11 - 4 = -3*t - 3*h, 5*h = z*t - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1085 and 75530.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70\/(-105) + (-116)\/6. Let z be (-6)\/(-1 - 1\/(-2)). Let p = z - k. Solve 2*t - 2*b - 3 - 11 = 0, -4*t + 5*b = -p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191922 and 480.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (5 - -3)\/4. What is the hundreds digit of 22\/(-3)*(-15 - (-15)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - 2*n)*(18*n**2 - 18*n**2 - 2*n**4) + n**5 + 0*n**5 + 0*n**5 + 0*n**5 - 3*n**5 + 21*n**5.\nAnswer: 15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 86135?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(5) + sqrt(5)*-1)**2 + -4 - -3*sqrt(125)).\nAnswer: -2 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-30)*4*(-1 + 10). Let s = -45 - -45. Solve s = -4*g - 10 - h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283283185.\nAnswer: 5, 56656637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*s + 21 = 0, 4*p + s + 162 = -p. Let y = p - -38. Suppose 5*i + y*w = 130, 4*w + 73 = 3*i + 8*w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**3 - 921*q**2 + 56613*q + 2259009 = 0.\nAnswer: -27, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6843 - 6777. Solve -7*i = 4*i - f for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279801 and 1991383.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j + 1. Let x be w(-1). Let c be (-334)\/4*12\/(-18). Let d = c - 55. What is the second smallest value in x, 5, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 3*p + 12, 4*w = -2*p + 8. Let d be (-4 + 3)\/(w - -1). Let q be (0\/d)\/(3\/(-3)). Sort q, -4, -5 in decreasing order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 3. Suppose 14 = 5*k - d. Solve -2*s = -k*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000139362958 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 95 = 5*q, 5*q - 76 = -4*u + 10*q. Suppose 0 = u*f - 25*f - 6030. Is 3 - (1 + (f - 2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.1 (c) 0 (d) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let w(y) = 360*y + 765. Let b(q) = q - 3. Let v(k) = -510*b(k) - 2*w(k). Give v(j(p)).\nAnswer: -2460*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -27*w**3 + 2*w**2 - 23*w + 22. Calculate x(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11)\/(h*h\/h**(-2\/17)))\/(h*h**1*h*(h\/(h\/h**(-1\/8)*h))\/h) assuming h is positive.\nAnswer: h**(-4749\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3\/8, 1\/4691?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d + 15987 = 15789 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 747, 57, -5 in descending order.\nAnswer: 747, 57, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010254 plus -5?\nAnswer: -5.010254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 373903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382028922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 = 12. Suppose -j*a + 18 = n - 4*n, -5*n = 0. Suppose -4*y + a = -2*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 7*d = -30. Sort -20, d, 4, -1 in decreasing order.\nAnswer: 4, d, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -9 - 1, 2*g + 2*j = 98. What is the smallest common multiple of 8 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6153 + 6018. Sort c, 2, 5, 3, -3.\nAnswer: c, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*h**2 - 3*h**3 - 15*h + 6 + 4*h**2 + 0 = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*f = -3. Let o be 72\/33 - 2\/11. Put f, o, -4 in ascending order.\nAnswer: -4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 2, t: 1, a: 8}. What is prob of picking 1 t and 3 a?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 3*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - -2) + -1 + 7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 9548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 20710718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760966.6 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 153d + -2a?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6088460173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 14*h**2 + 15*h - 36. Let q(f) = 16*f**2 + 16*f - 38. Give 7*l(a) - 6*q(a).\nAnswer: 2*a**2 + 9*a - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 - 110*z**2 - 109*z**2 - 114*z**2 + 3 - 2*z**3 + 339*z**2 to r + x*z**3 + b*z + s*z**4 + o*z**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4 in descending order.\nAnswer: 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**3 + 645*k**2 - 27495*k + 386575 = 0?\nAnswer: 35, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**6\/10 + q**4\/6 - 7*q - 5. Let k(g) be the first derivative of t(g). Find the third derivative of k(v) wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 6. Let a(p) = 7*p + 14. Let x(o) = -2*a(o) - 5*m(o). Let v be ((-15)\/2)\/(-3)*-2. Give x(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(2) - sqrt(2)*-1) + sqrt(24))\/(sqrt(108)*2).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627328 divided by -48256?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 12:33 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 17 + 3 = 0. Suppose -c*s - 98 = -26. Is (-2)\/(-6) + 8\/s*-42 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(3 + sqrt(2)).\nAnswer: 4*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (326 - 333)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -641, -7, 2090, 4 in decreasing order.\nAnswer: 2090, 4, -7, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + j**2 + j - 21. Let l(y) = y**3 - 2*y**2 - y + 20. Give -3*l(a) - 4*x(a).\nAnswer: a**3 + 2*a**2 - a + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435007451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.071 and 5.\nAnswer: -1.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 790*o - 53731. What is z(63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.09, -1.5 in increasing order.\nAnswer: -1.5, 0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*o + 90*o = -119. Let t(q) = o*q**2 + 0 - 8*q**2 - 2*q - 8*q**2 - 7. What is t(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxt. Give prob of sequence xg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 44*p**2 - 46*p - 93. What is m(-45)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*j - 272*j - 218*j + 2 - 2.\nAnswer: -106*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*v**3 + 128*v**4 + 191*v**3 - 127*v**4 + 2*v to the form a + u*v**4 + f*v**2 + o*v + j*v**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 - 4*r + 3. Let d be u(-5). Let g be d\/(-1) + (-4)\/(-2). Suppose 28 = j - g. Calculate the remainder when j is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7 = -g - f, 0 = 2*g - 5*f - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 44. Let n be (-112)\/(-196)*(-308)\/24*3\/(-2). Solve -4*c - v*c = n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 15) in base 2?\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-93*v + 57*v - 142*v - 291*v)*(-14 + 31 + 12) as f*v + r and give f.\nAnswer: -13601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -2\/121 (b) -28\/3 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -2730\/121?\nAnswer: -2730\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1313?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-42)\/70).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 899, 1259, 1623, 1991?\nAnswer: 2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*j**3 - 74*j**2 - 419*j**3 - 157*j**3.\nAnswer: -674*j**3 - 74*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393 and 3869292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*4\/(-15))\/(1734\/(-255))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -32*i + 39*i + 2*i + 1 + i. Suppose z - 2 - 3 = 0. Suppose -s = 3*r + s - 5, 3 = z*r - 2*s. What is d(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003827 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 405\/216*(-3280)\/246\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12634 and 4989558254?\nAnswer: 12634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(((27\/108)\/((-7)\/4))\/(-7))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 558*z**2 + 29*z - 380. List the prime factors of d(-9).\nAnswer: 17, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421707 is divided by 108.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s - 30. Let q be d(3). Let t(i) be the third derivative of 0*i + 1\/24*i**4 + 15*i**2 + 0 - i**3. Determine t(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -63.9.\nAnswer: 25.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(3)*3) + -3 + ((sqrt(78)*-2 - sqrt(78)) + sqrt(78))\/sqrt(6) + sqrt(208)*-1)**2.\nAnswer: 34*sqrt(13) + 3838\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 32. Let l be ((-3)\/(-4))\/((-9)\/h). Sort -0.07, l, 0.5, -1 in ascending order.\nAnswer: -1, -0.07, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-15))\/((-2)\/10). What is the units digit of 8\/z*(-9)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + ((-6 - -3) + -3 + (-2 - -11) - 2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 80. Let w(i) = i**2 - 60. Let b(j) = 3*r(j) + 4*w(j). Let c(s) = 187*s**2. Calculate b(c(p)).\nAnswer: -69938*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + (-286)\/65)\/((-6)\/(-2)). What is the closest to -13.3 in a, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 66 = 2*b - b, -3*v = 4*b + 40. Let h = 28 + v. Let c be 3 - 1 - 0\/(-2). Solve 5*j - c*j = -h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48080 minus 759982?\nAnswer: -808062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 10 - (-1 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4462019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 29 = 16. What are the prime factors of 1780\/90 + 2\/p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1214491871 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-18) + (-22)\/(-4) - 5. Suppose q = -3*h - h + 17*h. What is the nearest to -6 in 0.5, 0.15, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7261, -7250, -7239?\n\"Answer: 11*s - 7272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 20*t**2 + 14*t + 18. Let z(s) = 6 - s + 7*s**2 + 2*s + 4*s. Let h(k) = 6*f(k) - 17*z(k). What is the units digit of h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53663674 and 1346?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 15*q + 3 = -3*k, 0 = 2*q - 2*k - 2. Let z(i) be the third derivative of 3\/20*i**5 + 0*i + 0 + q*i**4 - 2*i**2 - 1\/6*i**3. What is z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/15)\/(55\/165). Put -0.4, -0.5, -7\/6, -0.8, a in descending order.\nAnswer: a, -0.4, -0.5, -0.8, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-10) - 4*(-1)\/10. Let g be -1 + n - (-7 + 5). Sort 8, g, -1, -4 in descending order.\nAnswer: 8, g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 1422*o - 1403*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 11\/7, 5.\nAnswer: -0.03, 11\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 856178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1026774 and 7587.\nAnswer: 3080322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2852355 + -11747645. Round y to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 27*g + 234. Solve c = h + 3*c - g, 9 = 5*h - 4*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n + 2. Suppose 5*c + s - 85 = -0*s, -5*s - 25 = 0. What is the smallest common multiple of z(3) and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 16*m**2 - 18*m - 19. Let z be v(-17). Which is smaller: -25 or z?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.5335 - -15.5. Let j = z + 0.02. Round j to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149062261 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 35*j**3 - 9*j**2 + 15. Is x(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**3 - 16*a**3 - 12*a**3)*(6*a + 10*a + 0*a + 4*a - a - a - a + 2*a + 0*a + (a - 2*a + 0*a)*(-3 + 1 + 0) + 2*a + 3*a - 3*a).\nAnswer: -414*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.1 - 268.\nAnswer: -256.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.168 + -0.0747. Let q = z - 0.0934161. What is q rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 2. Let m be u(7). Suppose -z + m*t + 21 = z, 0 = -4*z - 4*t. Suppose 0 = 3*g + z - 6. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + s**2 - s**2 - 10*s + 7*s**2 + 10*s + (32*s + 206*s + 110*s)*(-2*s + 0*s + 4*s) in the form y*s**2 + t + l*s and give y.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -24*v**2 - v. Let t(f) = 49*f**2 + 2*f. Calculate 2*t(i) + 5*z(i).\nAnswer: -22*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 312843703, 312843702, 312843701?\n\"Answer: -f + 312843704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 + 224.9966423. What is y rounded to 5 decimal places?\nAnswer: -0.00336","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - v + 1. Let q be l(2). Suppose -2*o - 6 + 36 = 0. Let j = 23 - o. Solve -q*x = 5*z + j - 20, 0 = -4*x + 4*z - 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 7. Let m be a(8). Let r be ((-7)\/(-98))\/(m\/2). Is 1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*c = -1711 + 6063. What is the least common multiple of 8 and c?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(5\/6)))**(-48))**(-10) assuming s is positive.\nAnswer: s**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 40 = -8*j + 5*f, -5*j = -3*f - 32. Solve -5*x + h - 4*h = 30, -2*h + 2 = -j*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122042081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3712352514?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.512 + 16.512. What is the closest to -1.8 in 1, 2, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.65 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75693 - 980033\/13. Let c = -306 + r. Put -0.4, c, 0 in descending order.\nAnswer: 0, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3*(-1 - 0)). Which is the third biggest value? (a) -0.2 (b) t (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/59)*h**(-8\/5)*h\/(h*h*h*h\/(h*h**13\/h)*h)*h**(-5\/3) assuming h is positive.\nAnswer: h**(5044\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 6*u - 5. Let b be g(4). Solve 0 = 2*x + b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -9. List the prime factors of (3 + -2)\/(v\/23).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 4*c - 44. Let h be s(7). Calculate the lowest common multiple of 24 and (-4)\/h - 1180\/(-65).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57853250.2 + -18351.\nAnswer: -57871601.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 755650 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 6*v + 22. What is z(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7914 is divided by 2754.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - -99. Let j = 150 - v. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -8) + 0 + 29 + -30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 7*a**3 + a**2 - 1 - 2*a**3 + 0*a + 3 in the form u*a**2 + t*a + n*a**3 + w and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:20 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - d**2 + 4 + (0*d + d + 3*d)*(-d + 0 + 0).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2 + 644*s + 4 - 2 - 628*s. Let w(k) = 3*k**2. Give w(l(g)).\nAnswer: 768*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 5*l - 20 = 13*l + 2*y, -8*l + 7*l = -13*y + 62 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10502545*b + 49303962 wrt b?\nAnswer: 10502545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 104 = -20*y. Suppose 30046 = 3*v + 5*z, -3*v + y*z - 10027 = -4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/135*2*5)\/(20*(-8)\/96).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 15*a**3 + 0*a**3 - 19*a**3 + 5.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*p + 9, -4*i = 5*p - 161 + 160 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-16 + 24)) + -28 + -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let s be (2\/(-14))\/((-1)\/k). Let z = 0.11 + 3.89. Sort s, z, -5 in decreasing order.\nAnswer: z, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x**2 + 6*x - 1. Suppose 5*w = 20, y - 14*w = -17*w + 19. What is m(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(637) - 6*(sqrt(637)*-5)**2).\nAnswer: -95545 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s. What is the second biggest value in 5, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 4, u: 3, p: 1, o: 3, j: 3}. Give prob of picking 1 f and 1 x.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5 + 4647*b**4 - 18558*b**3 + 27822*b**2 - 18543*b + 4635.\nAnswer: -3*(b - 1545)*(b - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 8 (c) -2 (d) 551\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2211490?\nAnswer: 2, 5, 37, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099954263 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104850 and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -17 (c) 1\/117 (d) -4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.898356 litres?\nAnswer: 3898.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*s - 118 - 1676, 15 = -5*f. Let r = -191 + -14. Let l = r - -245. What is the greatest common divisor of l and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-48)*(-8)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12))\/(((-297)\/(-528))\/((-11)\/(1001\/42))).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53154.\nAnswer: 2, 3, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 16*n + 30 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0 + 2*n + 6 - 4. Calculate z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2294 + -2291. Let g(t) = -t**3 + 8*t**2 - 2*t + 12. Let c be g(8). Sort -3, c, p.\nAnswer: c, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 22 - 43 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4584 and 106493196.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2299) + -1)**2 + -3 - (-3 + 1 + sqrt(2299) + 0))*3 + 2.\nAnswer: -165*sqrt(19) + 6908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + 1)*-4 + sqrt(153))**2*3 + -4)*4.\nAnswer: 864*sqrt(17) + 16700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33 + 0.43. Which is the second biggest value? (a) h (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 2:49 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -28, -0.08, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30018.586 + -30075. Round s to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144829 - -3?\nAnswer: 144831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3302 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yxyyyyyyq.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-93)\/6)\/(4\/(-8)). Let k = 4 + s. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38103, -38220, -38413, -38682, -39027, -39448, -39945?\nAnswer: -40518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = -3*l + 15*x + 38493, 3*x = -3*l + 38472. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6 (b) -5 (c) 1\/9 (d) 18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.425 + 0.375. Is j less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4914, 4, -1, -5 in ascending order.\nAnswer: -5, -1, 3, 4, 4914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -239565.9 from 165814606.\nAnswer: 166054171.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 76075587 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10\/13 + -17\/39. Let n(m) be the first derivative of 0*m**2 + 3 + z*m**3 - 2*m. Differentiate n(a) with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1767149, -1767291, -1767527, -1767857?\nAnswer: -1768281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.70212 + -8.7. Round y to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89852*n**2*v**2 + n*v**2 - 411*n*v + n - 2 wrt n.\nAnswer: -179704*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*v**3 - 9815*v + 171*v**2 + 765*v + 609349 + 14*v**3 - 609349 wrt v.\nAnswer: 156*v + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/21, 9, -4, -92, 8.\nAnswer: -92, -4, 2\/21, 1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 3153.3.\nAnswer: 3151.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 3*d**4 - 3*d**3 - 62*d**2 + 11 - 53*d + 53*d in the form c*d + p*d**3 + q*d**4 + m*d**2 + g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/20 - 7*i**4\/6 - i**3\/6 + 19*i**2 - 52*i. Is 23 a factor of a(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-534)\/15 - (-1 + (-28)\/(-20)). Let o = b - -137. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.191999 and -50883397.\nAnswer: -50883396.808001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 + 172*s**2 + 518*s\/3.\nAnswer: -2*s*(s - 259)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = -0*c. Let x = -425\/22 - -39\/2. What is the biggest value in x, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + w + 15 - 9)*(w - w**3 - w).\nAnswer: -w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93132*k**3 + 3*k - 3363 wrt k?\nAnswer: -558792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 81*i - 34*i - 75*i.\nAnswer: -28*i - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 42*m**2 - 2*m - 1. List the prime factors of i(2).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y + 1. Let q(s) be the second derivative of -s**4\/12 + 5*s**3\/3 - 6*s**2 - 2*s. Let r be q(8). Sort y, r, 0.\nAnswer: 0, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116357251 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*20\/(-1120)*2)\/(69\/18).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/22)\/(376\/(-20680)). Solve -5*u - 2*o = 16, -a*u - 5 = -4*o - 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 269 and 124547.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26580 divided by -60.\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -1\/840*k**7 + 0 + 0*k**6 - 1\/6*k**3 + 0*k**4 + 3*k - 24*k**2 + 1\/48*k**5. Solve x(z) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 83*c**2 - 55*c + 9. List the prime factors of p(9).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a second in milliseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25262040 (base 7) to base 6\nAnswer: -120542213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*v + 72*v - 158*v)*(10 - 12 + 3*v - 59*v).\nAnswer: -4592*v**2 - 164*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (21\/10)\/(639\/(-10650))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 1287*u**3 + u**4 + 2*u**2 + 1287*u**3 to b*u + j*u**3 + k*u**4 + r + q*u**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 4*w + 147*w**3 - 146*w**3 - 3*w**2 to y*w + c + z*w**2 + j*w**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1564 - -1631) + (-60 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(38) - (2*sqrt(3078) - sqrt(3078)) - sqrt(38))\/(sqrt(20)\/sqrt(90))*2)**2 + -4.\nAnswer: 498632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 5. Let l be u(8). Suppose 0 = -8*h + l*h. Suppose h = -5*m + v + 70, -v + 6*v = -4*m + 85. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30860752 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 3}. Give prob of picking 1 l and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + x + 1. Let v be o(2). Suppose -3*k - 4*r = 0, 4*k + 13 + v = 4*r. Let w(f) = f**3 + 5*f**2 + 3*f + 3. Give w(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/659356 and -34\/2667?\nAnswer: 1758502452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 39 + 24 + 4*g**2 to the form k*g + z + c*g**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0 - 1\/6*b**3 + 6*b + 0*b**2. Let u(j) = -2*j. Give h(u(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*u - 15 = 140*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -7 - 14. Let w(l) = -7*l + 7*l + q*l. Let v(y) = -2*y. Let g(z) = 6*z. Let s(r) = 3*g(r) + 10*v(r). Determine s(w(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3216 + -2?\nAnswer: -3218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vviivgikkig. What is prob of sequence kk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + ((sqrt(847) + (sqrt(847) - 1*(sqrt(847) + -2)) - sqrt(847))**2 - sqrt(847) - (1 + sqrt(847) + -5)) + 0.\nAnswer: -22*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28135 in 50, -1\/5, -0.3?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + t**3 + 4*t**3)*(-114*t + 270*t**2 + 223*t - 109*t).\nAnswer: 810*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*j**2*l**2*s**3 + 2*j**2*l*s + 6*j**2*s**3 + 5*j + 11*l**2*s**3 - 7*l*s**3 wrt l.\nAnswer: 160*j**2*s**3 + 22*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:51 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956*a + 21 = -958*a + 63*p - 10, -2*p + 6 - 84 = -5*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115629457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043 take away -18?\nAnswer: 17.9957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 73797610.\nAnswer: 3\/73797610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.351663t?\nAnswer: 351.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.04 - -1.1. Let n = z - 0.56. Which is the smallest value? (a) n (b) 2 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaa. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, 1, -2.\nAnswer: -4, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-15))\/((-117)\/(-65) + -1). Which is the closest to r? (a) -4\/9 (b) -10 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2, -4, -0.3, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30156\/3590*-2*10\/204.\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 = -o - 6*z, 3*o = 5*z + 1. Let n be ((-16)\/(-5))\/((-4)\/(-20)). Let l be 1\/3 + 58\/6. Solve o*t - n = -w - w, 5*t = w + l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -27, -375, -0.105, -3?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 3*w**2 - 5*w**2. Let o(x) be the third derivative of -x**5\/120 + x**3\/6 - 2*x**2. Let u(l) be the first derivative of o(l). Determine u(m(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1148 and 1271.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:16 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 8*r**2 - 4*r - 7. Calculate the remainder when v(6) is divided by (28\/10)\/((-8)\/(-40)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/21*0*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2b36 + -42b?\nAnswer: b2708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290121 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.6 (c) -3 (d) 17300\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 300 = -2*l, -2*l - 3*l - 20 = 0. Let q = r - 28. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.82 - -0.72. Let x = -1 + -8. Let k = x + 13. What is the third smallest value in t, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 827*i + 20833. Determine j(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 7*z + 14*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12003566 (base 7) in base 8?\nAnswer: 4026503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 271.1, 7\/5, 0.7.\nAnswer: 0.7, 1, 7\/5, 271.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110886.5 milligrams to nanograms.\nAnswer: 110886500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -2, 18, 50, 94, 150?\n\"Answer: 6*x**2 - 10*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-3 - (-18 - -6))\/((-2)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54556884917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 495213 and 861240?\nAnswer: 19808520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -29*q**3 - 10*q**2 - 7*q + 2. Let s(l) = -87*l**3 - 28*l**2 - 20*l + 6. Give 17*r(g) - 6*s(g).\nAnswer: 29*g**3 - 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/20 - 424*n**3\/3 - 131*n**2 + 6396*n. Differentiate w(b) wrt b.\nAnswer: 3*b**2 - 848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173922 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 - (-1 + 2 + 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 32 = r + 3*r, 2*r - 16 = 5*y. Find the second derivative of -5*f**5 + 6*f**5 + r*f - 3*f wrt f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.54 - -5.45. Let q = u - -43.93. Let i = 44 - q. Round i to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 - 160. Solve -x - 4*x = -4*b - 7, -4*b + l*x = 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h + 14*h = 145 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1871*f = 1885*f - 39186. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163 - 141 + 115)*(-2 - 2 + 2)*(3*t**3 - t**5 - 3*t**3).\nAnswer: 274*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 168, 386, 684, 1056, 1496?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69085 divided by 13817?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sggsggsg. Give prob of picking 2 g.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-117)*45\/70.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8446 and 4838?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -0.5 (c) 1\/11 (d) -3.904\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(228) - (sqrt(228) - 5*(sqrt(228)*-2 - sqrt(228)))))\/((sqrt(1452) - sqrt(1452)*2) + sqrt(60)\/(sqrt(10)\/sqrt(2))).\nAnswer: -15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. What is the common denominator of 53\/11 and y - (2 - (-322)\/(-12))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3 = -3*s, 0 = 113*j - 112*j + 5*s - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206 + -176. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/55*(-6)\/((-72)\/(-66))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2253, -5160, -8067, -10974, -13881?\nAnswer: -16788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293160953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**3 - 9418 + 9418.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7047, 7390, 7713, 8016?\n\"Answer: -10*s**2 + 373*s + 6684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 3 + 6*x**2 + 4*x - 4*x wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4)*0)\/(4 - 2). Let x(c) = c + 2. Let d be x(j). Find the first derivative of -t**2 + 14*t**2 + 12 - 18*t**d wrt t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50096 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 4*j**2 - 11*j + 2. Let d be f(5). Let b = -20 - d. What is the remainder when 31 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9350.600782 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -23. What is the units digit of (1506\/15 - -1) + 6\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 49?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/29 + 27\/58. Let c(d) be the second derivative of 0 + 1\/6*d**3 + 3*d + t*d**2. Find the first derivative of c(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/2 + 6 + -6. Let y = v + -22. Suppose y = 3*o - 7*o. Sort -5, o, -3 in increasing order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*g - 0*t - 40, 29 = 3*g + 2*t. Let j(n) = -7 + g + n. Let y(f) = 2*f**2. Determine j(y(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1474, 2932, 4390, 5848, 7306?\n\"Answer: 1458*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {d: 2, s: 1, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = 2*h + 3*l, 0 = 4*l + 4. Is h less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 13 = -5*q + 7, 3*t + 4 = q. Let h be (-3)\/12 + 1\/q. Let g be 3 - 1\/2*4. Solve h = -4*l + 5 - g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/181 - 551\/1448. Let a = -1828 - -1827. Let f be -1 + (12\/(-9))\/(-2). What is the third smallest value in a, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 340859715 divided by -1995?\nAnswer: -170857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 + -0.1. What is the closest to 1 in -1\/7, -4, w?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(2\/7)*i))\/i*i**(-1\/6))**(2\/37)\/((i**0)**(2\/3)\/(i**0*i**(1\/8))) assuming i is positive.\nAnswer: i**(625\/6216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70326784 and 15383984?\nAnswer: 492287488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f - 19*f - 17*f = 55 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130255753.\nAnswer: 11, 31, 421, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04168 + -472.74168. Let k = 473 + o. What is the fourth biggest value in k, -2\/13, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9987.85 (b) -13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 3*q + 2. Let i be (3\/6*-4)\/(2\/3). Let l be t(i). Let v(c) = -8*c + 14*c - 4 + 1 - c**l. Give v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418600773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600476.4 centimeters to nanometers.\nAnswer: 6004764000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/21 - (-28 - 2706\/(-99))).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -6, 0.013, -2\/43, -29, 0.4, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose 122*r - 7088 = 2308*r - 240990. What is the least common multiple of w and r?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65c169 (base 14) in base 3?\nAnswer: -20111101120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*-2)\/sqrt(12))\/(sqrt(6)\/(sqrt(10)\/sqrt(5)) + sqrt(3)) + -1)**2.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30875 and 19955?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 55*v + 19 - 56 to x*v + n and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*a + 2616, 8*b - 4*a + 6533 = 13*b. Calculate the common denominator of -93\/20 and b\/(-4200) + 2\/7.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/3 - 5\/15. Let o(u) = 18*u**2 - g + 7 - 5. Is o(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 1\/3 (b) 4\/5 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2589 - -6.7411. Let f = -0.22 + 0.02. What is the nearest to i in -4, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 24\/7 (b) 2\/3 (c) 0.3 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8) - (126\/4)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10158 = 7*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**5 + 24*o**4 - 6*o**3 - 76*o**2 - 48*o = 0.\nAnswer: -12, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**2 + 50*n + 7. Is s(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36617 - 18681. Is 241 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21 - 377)\/(3\/(-9)*2)?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -471845.\nAnswer: 1\/471845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*d**3 - 580*d + 580*d.\nAnswer: -255*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*z - 3*w - 9 = -275*z, -4*z + 4*w = -28. Solve 3*u - 5*f - z = 0, 3*u + 8 - 4 = -f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 2*q - 74. Calculate the remainder when 1467*(q\/3 + (-20)\/(-36)) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4 + 403146*n**2 - 444*n + 428 wrt n.\nAnswer: -24*n**2 + 806292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.32 + 0.72. Let t = 1.0399949 - w. What is t rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjoj when four letters picked without replacement from ojjojojjojjjjj.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5008, 10054, 15104, 20158, 25216?\n\"Answer: 2*c**2 + 5040*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 107. Let c(t) be the first derivative of -5*t**2 - 43*t - 46. What is the remainder when z(0) is divided by c(-8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 1209?\nAnswer: 16926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*f**3 - 955*f**2 - 780*f + 220.\nAnswer: 5*(f - 22)*(f + 1)*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2 - 15. Let l(h) = -1. Let s(b) = 15*l(b) - t(b). Let r(i) = -i. Calculate s(r(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 45*p - 65\/6*p**3 + 23*p**2 + 0. What is the first derivative of h(v) wrt v?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -6*d - 7*d + 38 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 2*b**3 - 221 + 2*b**3.\nAnswer: 3*b**3 - 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**2 - o*y**3 - 267*o + 50*y**3 + 3 wrt o.\nAnswer: 4*o - y**3 - 267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 168?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -222, -314, -386, -432, -446?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*z + 665 = 331*z. Solve 0 = 21*i - 28*i + z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/11 + 16656856*n**2\/11 - n\/11 - 16656856\/11 = 0.\nAnswer: -16656856, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 14 + 4 = 7*d, -25 = 5*y - 4*d. Suppose 4*k = 2*m - 14, 17 = 3*m - 3*k - 2*k. Sort m, -0.8, y.\nAnswer: y, m, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*v - 86264 = 325*v - 995*v for v.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186591, -186594, -186597?\nAnswer: -186600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2\/9 (c) 0.4 (d) -29 (e) 4\/7 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 3*q - 1. Let y = -353 - -349. Give w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**5 + 57*s**2 - 57*s**2 + (7*s + 8*s - 6*s)*(-3*s**4 + 6*s**4 - 2*s**4) + 3*s**5 + 0*s**5 - 2*s**5.\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 1 + -80 - (4 + 10 + -6).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s, 0*s = -2*w - 3*s + 8. Suppose -w*g - m + 97 = -156, -2*m = -g + 52. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1739, -185 in decreasing order.\nAnswer: -1, -185, -1739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -18, -68, -170, -342?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -552, 4\/5, 0.1, -1\/4 in descending order.\nAnswer: 4\/5, 0.1, -1\/4, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/863 and 67\/4?\nAnswer: 3452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 5. Let v(w) = -5*w + 26. Let c(p) = -22*h(p) + 4*v(p). Let o(n) = 3*n - 7. Calculate 5*c(s) - 4*o(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 40*u - 693. Determine r(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - 8 - -6) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14972 + -3?\nAnswer: -14975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2491 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 85\/(-15))\/(6\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4699.9l in millilitres?\nAnswer: 4699900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-194)\/(-5))\/(331\/((-67855)\/(-82)))\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-584)\/10)\/(18\/(-45)). Let q = -139 + r. Let l = -3 + 2.9. Which is the third biggest value? (a) q (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41932969 + -2.\nAnswer: 41932967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 2)*(-24 + 24 - 23*a) as n*a + w and give n.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -4 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 349\/228 - 16\/57. What is the third smallest value in 4\/7, -12, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7950 divided by 155\nAnswer: -1590\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - p**2 - p + 1. Let c(r) = 6*r**3 - 4*r**2 + 2*r + 4. Suppose 794*s = 421*s - 156 - 217. Suppose 4*w - 19 + 3 = 0. What is s*c(m) + w*z(m)?\nAnswer: -2*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 14 = 3*m. Suppose m*r = 3*j + j - 3, 3*r - 1 = j. Differentiate 5 + t**2 + 2*t**j - 4*t**2 - 4 with respect to t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 2*t**2 - 6*t - 5. Let s be c(-1). Suppose a + g - 23 = 0, 0*g + 5*g - 79 = -3*a. Solve -r - a = -s*x + 4*x, 5*r + 14 = -x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = 15*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423830 is divided by 446?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -6, -39, 493 in descending order.\nAnswer: 493, 0, -1, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 - 23*x**3 + 8033*x**2 - 218745*x - 226800 = 0.\nAnswer: -112, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.1 take away -174?\nAnswer: 209.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -49. Suppose -5*m - 7 = -f - 0*f, -s*m = -3*f + 10. Solve q + 1 - f = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.4 + -49.7. Which is the nearest to 11\/6? (a) l (b) -3\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4167 divided by -3\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18332763 divided by 3?\nAnswer: 6110921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13507*g - 14662*g + 28154*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105053 is divided by 104967.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u + 6 + 69. Which is the nearest to 1? (a) -3 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 693 = 2122. Let p = -16933\/30 + m. Calculate the common denominator of (6\/(-15))\/((-4)\/(-365)) and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21995539*i**2 - i - 37689871?\nAnswer: -43991078*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116.4 - 111.9. Put 2\/3, w, -2 in decreasing order.\nAnswer: w, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*h - 2*o, -232*o + 234*o = 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*136\/(-850)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/3)\/(-2)*-5*(-33)\/(-110).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*n + 0*n = 19, 5*n = 3*z - 28 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 74 - 74.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.3 * -0.33558.\nAnswer: 5.134374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*l = 5*l + 20, 0 = -4*k - 4*l + 16. Suppose 0 = -4*j + k*c - 17, -j - 4*c + 16 = -3*j. Do 2 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 15 = 4*x. Suppose 0 = -5*a - 3*h, 3 = 4*a + 5*h - 10. Put 8, a, x in descending order.\nAnswer: 8, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*o**2 + 46*o**2 + 352*o**2 - 115*o**2 + 13*o**2 - 917 wrt o.\nAnswer: 824*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8685 divided by 965.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 21*z + z - 20*z + 5*z + z. Let x(g) = -40*g. What is x(l(h))?\nAnswer: -320*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (2 - 1) - 9 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/92 and -11 + ((-13230)\/1656 - -18).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 12*u - 5. Give j(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 14, r: 1}. Give prob of sequence zar.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g**2 + 0*g)*(-3*g**2 + g**2 + 0*g**2) + g**4 - 2*g**4 + 3*g**4 + (-2*g + 2*g - 6*g**2)*(-g**2 + 5*g**2 - 5*g**2).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 16. Suppose -3*o + 2*t - 32 = 0, 8 - 53 = 4*o - 5*t. List the prime factors of y(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/380710 and -1\/304568?\nAnswer: 1522840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-40))\/(-9)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - (-336)\/(-54). Let y be (-34509)\/(-15) + l - (-2)\/5. Suppose 3*r = 7*r - 3*b - y, 3 = -3*b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1137390, 1137323, 1137222, 1137093, 1136942, 1136775, 1136598, 1136417?\nAnswer: 1136238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 107*x + 320 - 214, 0 = -5*i + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 d when four letters picked without replacement from {t: 8, d: 1, z: 4, n: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 22. Suppose n + 20 = 4*r. Suppose r = 5*p - p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 79?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*o + 40, -11*w + 32 = 2*o - 10*w. Let c = 7 + -4. Let x be 2*282\/4 + c. Calculate the highest common factor of o and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-805315)\/69027)\/(7\/(-1))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -36*p + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 15. Suppose 11*b = -10*b. What is s(b)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -232385, -232401, -232417, -232433, -232449?\n\"Answer: -16*t - 232369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 4. Let n be d(-9). Let p = n + 24. Solve 0 = 4*s - 10 - p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 233 - 130. Let l = 101 - c. Let a be 432\/9 - 2*l. Calculate the greatest common divisor of 260 and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 532*i + 3. Is l(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101671, 203341, 305011, 406681, 508351, 610021?\nAnswer: 711691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*d - 1, 4*d + 65 = 3*j. Let k(i) = i**2 - 20*i + 15. Let o be k(j). Does 10 divide (-77)\/(-3) + o\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -2 - 177\/(-1). Let w be (-4)\/16 + k\/4. Suppose -q + 0 + w = 0. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4684 divided by -37\nAnswer: 4684\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 4*z + 35. Calculate the remainder when 214 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -629*g + 615*g + 31. Solve -3*q = -6*z + 3*z - 24, 3*q - g*z - 29 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -52, 5, -3 in ascending order.\nAnswer: -52, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 8:51 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 11*g - 15. Give z(-12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/24)\/((-561)\/(-1496)))\/(3\/40).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735194*40.\nAnswer: 29407760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51135995 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -254435 divided by 50887\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o\/(o*o*o**(-3\/7)\/o)*o)\/o)\/o*o)**(-27))**(-15) assuming o is positive.\nAnswer: o**(6885\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -2*sqrt(117))\/sqrt(3))\/((sqrt(3) + 2*sqrt(3))*3).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*w = -302, 0 = o - 2*o + w + 100. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 7*b**2 + b + 15. Let h be q(-7). Suppose -h*j + 947 = 227. Calculate the remainder when j is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/5)\/r)\/r)\/(r\/(r*r\/r**(-2))))\/(r**4\/(r*r**(-6))) assuming r is positive.\nAnswer: r**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15948666 divided by -61106.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66632077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72032 by -4502.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 2 + 1 + 1 + 0 + (-2 - 2 + 2)*(-4 + 0 + 3) - 3 + 5 - 3)*(-257*j**4 - 9*j - 3*j + 258*j**4).\nAnswer: 9*j**4 - 108*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 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: Which is the closest to 6? (a) 1 (b) -5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -105800 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 74*p + 404. Let a be s(5). Solve -3*z - a = -115, -2*h = 4*z - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15731*w**4 - 4*w**2 + 83274*w?\nAnswer: -188772*w**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-42) + 1\/((-21)\/(-132)). Solve -3*u + v = 3*v - h, 2*u + 2*v = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19092955 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y + 104. Let q be n(17). Let s(f) = -19*f + 2. Let c be s(-7). Calculate the greatest common divisor of c and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 829924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2650058 to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 395 - 372. What is the remainder when 82 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 116*i**2 - 1633*i - 35. What are the prime factors of d(37)?\nAnswer: 5, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18)\/8)\/((-2)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + 12014?\nAnswer: 12035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.34 + 4.24. Which is the nearest to -2\/5? (a) q (b) -2 (c) -0.096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (370\/(-148))\/(1*25\/(-15))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52272 and 13392?\nAnswer: 1620432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 20*k + 23\/10*k**6 + 0*k**5 + 0*k**2 + 0*k**4 + 1 - 77\/2*k**3. Find the second derivative of r(q) wrt q.\nAnswer: 828*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*c**4 - 16264*c**2 + 16264*c**2 + 3*c**3 + (-c + c**2 + c)*(-c**2 + 0*c + 0*c) to the form f + p*c**2 + g*c**4 + a*c**3 + i*c and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009288 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101000 + -101?\nAnswer: -101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 2.8839461.\nAnswer: 3.2839461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12932 greater than 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -23. Suppose 3*v + 1 = 4*z, z - s = -2*v + 2. Sort 1, v, -8, -1.\nAnswer: -8, -1, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1 + q**2 - 156*q + q**2 - 152*q + 322*q - 3*q**2. Calculate j(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o = 34*o - 48. Calculate the smallest common multiple of o and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 4*x - 5. Let w be j(-4). Suppose 3*k - 14 - 13 = 0. Let d(u) = 4 - 2*u - 3*u + 2*u + k*u + u**2. Determine d(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 w when three letters picked without replacement from wbwuwbbuubu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-99) + 40\/18. Suppose 3*o - f*o = -32. Let u = o + 45. What is the remainder when 38 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z. Let n(w) = w - 2 + 4 - 2. What is n(j(i))?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alkkkakssaq. Give prob of sequence qaa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 16 (c) -54\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-132)\/(-84)) - ((-252)\/(-10))\/3.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyy when three letters picked without replacement from {k: 1, y: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + y**2 - 1. Let i(s) = 9*s**3 - 9*s**2 + 3*s + 6. Determine -4*d(z) - i(z).\nAnswer: -z**3 + 5*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**3 + 3146790*i**2 - 48*i - 50348640 = 0.\nAnswer: -1048930, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 6 - 26*u**4 + 21*u**4 + 446*u**2 + 3*u**3 - 446*u**2 to the form a*u**4 + t*u**2 + c*u**3 + o + v*u and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(-187*x**2 + 187*x**2 + x**4 - 5*x) as v*x**4 + z*x**3 + m + i*x**2 + g*x and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966047536.\nAnswer: 2, 29, 53, 163, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18610228 is divided by 5374.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -582 by -194.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4102 greater than or equal to 4089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.59175533 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-80))\/((-2)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(468) + -2))**2 - (1 + -2*sqrt(468))**2) + 4 + (sqrt(468) - (5 + sqrt(468) + -1)).\nAnswer: -192*sqrt(13) + 2375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 5. Let x(g) = -32*g + 15*g**2 + g**3 - 3*g - 8*g - 14 + 8*g. Let m be x(-17). Let w(q) = -11*q + 14. What is m*w(d) - 8*n(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*b - 619 + 453 = 900. Is -15 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 1312\/4 - (2 - 3). Find the third derivative of p*t**2 - 7*t**6 + 320411*t**4 - 320411*t**4 wrt t.\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54911413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - w + (-3*w + 0*w + w)*(1 + 1 - 5))*(-4*w**2 - 2*w**2 + 2 - 5*w**2)*(-4 + w + 4).\nAnswer: -55*w**4 + 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/4 + 35*i**4\/12 + 35*i**3\/3 + 20*i**2 + 2*i - 84. Factor l(k).\nAnswer: 5*(k + 1)*(k + 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23496199 = 23496197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 2*t - 28. Let h be y(-6). Which is the third smallest value? (a) h (b) 12 (c) 2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 3*c - 3*c)*(0*c - 2630 + 3213 + c) in the form j*c**2 + r + b*c and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -59036 divided by -1305\nAnswer: 59036\/1305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s)\/((s*s\/(s*s\/(s\/s**2)))\/s)*s**(-6)\/s**(-2\/7))\/((s*(s\/s**6)\/s*s**(1\/9)\/s)\/(s**(-2)*s*s\/(s*s*(s**(1\/4)*s)\/s)*s*s*s)) assuming s is positive.\nAnswer: s**(233\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16811740 and 1694.\nAnswer: 117682180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 279078 > 278759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46391, -92484, -138543, -184550, -230487, -276336, -322079?\nAnswer: -367698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -15.2. Let m = l - -0.2. Which is the nearest to 0.1? (a) m (b) 0.03 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:07 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + -4 - (-5 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 25*v + 25. Suppose -128 = -6*g - 62. Let k be j(g). Calculate the greatest common factor of 87 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**8\/840 + x**7\/84 + x**6\/20 + 7*x**5\/60 + x**4\/6 - x**3\/2 - 2*x**2. Let j(a) be the first derivative of b(a). Factor j(f).\nAnswer: 2*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4014240, 8028479, 12042718, 16056957, 20071196?\nAnswer: 24085435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -18*h + 1495. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 6 = 2*j. Suppose -3*g = -5*l + 11, -j*l + 0*g - 1 = 2*g. Is 9 - 2*l\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 14*r**2 - 10*r - 32. Let b be k(13). Let v(u) = u**3 + 2*u**2 - 2*u**2 - 9*u - 3 - 5*u**2. List the prime factors of v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18592222, 37184442, 55776662, 74368882?\n\"Answer: 18592220*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2130.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018055637687 rounded to six dps?\nAnswer: -0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*q - 10 = -780 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28 - (-16)\/(3 + 5). Suppose 4*b - 60720 = 4*k, b - 15174 = -31*k + r*k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 5*w - 5*h, 18396*w + 4*h + 50 = 18399*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -24. Let u be (j\/55)\/((-4)\/70). Let a(r) = -r + 21. Let p be a(u). Solve o + p + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4655 + 31641. Is 131 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**7\/735 - m**5\/210 - 3*m**2\/2 + 1. Let s(d) be the second derivative of k(d). Factor s(q).\nAnswer: 2*q**2*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 572 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3796480.\nAnswer: 2, 5, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 11:22 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -26 + 38. Let a(i) = 3*i**2. Let p(u) = -u**2. Give m*a(b) + 14*p(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/2)\/6 - 3\/2. Let t = 21 - 29. Let g be t\/8*(-4)\/(-26). What is the nearest to 2\/5 in m, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60163709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(3\/2))**6\/(k**(-2\/7)\/k)**(8\/3))**2 assuming k is positive.\nAnswer: k**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 3*a - 3. Let n(b) = -2*b**2 - 3*b. Let o be n(-2). Let i be r(o). Suppose 0 = 2*c - i*c + 49500000. Round c to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*n - 12, -6*v - 56 = -v + 3*n. Is (312*(-4)\/(-5))\/(v\/(-50)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, 41\/2, 31\/4, -0.4, -2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 26. Suppose r*p - 81 = v, 131 = 4*p + 2*v - 51. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, z: 4, a: 2}. Give prob of sequence uazz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-13*(-5)\/130.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5.2. Let a = -0.19 + k. Let o = a + -0.51. What is the second smallest value in -0.2, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*u - 59*l + 68 = 4*u - 58*l, 2*u = 3*l - 184 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-97031)\/(-77))\/((2\/(-28))\/((-17)\/34))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 18 = -4*z, 3*l - 3*z + 5 = -1. Suppose l*f - 23 = 19. Calculate the least common multiple of f and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 51 - 16. Let i(t) = 3*t + 4. Let v be i(3). Let p be 1 + 3 + (-54)\/v. Which is the third biggest value? (a) f (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**3 - s + 6. Let l(k) = -9*k**3 - 2*k + 13. Let p(j) = -5*j - 28. Let z be p(-5). What is z*l(b) + 7*m(b)?\nAnswer: -b**3 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 4067522.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1458?\nAnswer: 1458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357724992.\nAnswer: 2, 3, 1863151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -9074*r**3\/3 - 604*r - 7068. What is the derivative of k(g) wrt g?\nAnswer: -18148*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g + 4*l - 3005 = 0, g = 4*l + 625. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538 (base 10) in base 15?\nAnswer: b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s - 6. Let v(k) = k**2 - k - 1. Let f be v(3). Suppose -f*c + c = 20. What is the remainder when 153 is divided by r(c)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a - 42. Let m be g(7). Let u be (3 + m + 3)*-1. Which is smaller: 12\/13 or u?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -1398?\nAnswer: 19\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/1)\/(-3))\/(10\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*t = 114*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 617045 and 429.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*k + 13528, 7*k - 12*w = -11*w + 18944. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 628360.5.\nAnswer: 377016.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Calculate the remainder when (-9 + x)*57\/(-9) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from {m: 8, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1101, -38, -3, -10, -2 in increasing order.\nAnswer: -1101, -38, -10, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -264*n**2. Let y(v) = 3*v + 6. Let x(a) = 17*a + 33. Let m(k) = 2*x(k) - 11*y(k). Determine m(q(s)).\nAnswer: -264*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-22))\/(4809\/15114). Solve k*x**3 + 0*x**2 + 4\/7*x**5 + 0*x + 0 - 12\/7*x**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (5 + (3 - -1) + (6 - 4) - 69).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 2*j + 10, -3*z + 4*j = 12. Put -0.2, -4.9, -13, z, -1 in ascending order.\nAnswer: -13, -4.9, z, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33709 and -245662.\nAnswer: -211953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000731933931 to seven decimal places.\nAnswer: 0.0000732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + -18 + (3 - (-20 + 9)) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33945*z**6 + 44*z**2 + 101?\nAnswer: -4073400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**3 - 3*z**2 - 4*z + 4. What is the hundreds digit of a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3\/5*m**5 + 0*m**2 - 4*m + 0*m**4 + 5 + 0*m**3. What is the first derivative of u(r) wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 2\/461 (c) 4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irjrjdaara. Give prob of sequence ad.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -26. Solve l = 4*g - o + 5, -4*o - 1 = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 1, -5, 1\/4, 1541?\nAnswer: 1541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105401 and 3.\nAnswer: 316203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + 719. Let f(g) = -g**2 + 13 - 25 + 11 + n*g**3 - 2*g - 3798*g**3. Is f(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqqyyqelelyyqtte. Give prob of picking 1 l and 2 y.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-1 + 2*y + 1) + (-339*y + 180*y + 391*y)*(0 - 3 + 1)*(-2 + 2 - 2).\nAnswer: 932*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 6*n**4 - n)*(0 + 2 - 3 + (3 - 3 + 2)*(-2 + 2 - 1) + 0 - 1 - 1 + 3 + 4 - 4 + 2 + 2 - 5)*(3 - 2 - 3)*(4 - 4 - 3).\nAnswer: -108*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 28. Let c be (28 - 29)\/((-14)\/70). Solve -i = -c*v - 32 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 - -158. Let v be ((-6)\/x*12)\/(8\/(-28)). Suppose 3*c = -s + 89, -s - v*s - 135 = -5*c. What is the greatest common divisor of c and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -75141, -300650, -676505, -1202706, -1879253, -2706146, -3683385?\n\"Answer: -75173*n**2 + 10*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 7.9 (c) -0.38 (d) -0.97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 - (-49)\/(-84). Let l = -112 - -104. What is the second biggest value in 3, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*2\/((-24)\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 14 + 43)*(2*c + 5 + 13 + 7) to the form f + m*c and give f.\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 230133530 (base 6) in base 3?\nAnswer: 21220222011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8164102ms to seconds.\nAnswer: 0.0008164102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2450 is divided by 77?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*q + 109*q - 95*q + 3*q.\nAnswer: -80*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.270164s in minutes?\nAnswer: 0.3211694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89186324837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*f - 3*f + 12, -2*f = 2*q. Let i = 68.252 + -68. Let w = i + 0.048. Which is the closest to 10\/9? (a) f (b) -1\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4901907 and 27351.\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q + 3479 - 1191. Sort -1, -5, q, 4 in increasing order.\nAnswer: q, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/24 + 63\/44.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 29*y + 109. Let n be z(25). Suppose -n = -11*g + 352. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -70541 in decreasing order.\nAnswer: 0, -6, -70541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7*s = -34, 0 = -3*b + 2*s - 12 + 25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237344866?\nAnswer: 2, 11, 23, 31, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/10348 and -16\/1393.\nAnswer: 72436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from xlltxll?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:04 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 21*j**2 + 10*j - 6. Let p(i) = i**2 + 25*i + 55. Let b be p(-22). What is y(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 870264 and 56457.\nAnswer: 35680824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -115*v + 99*v + 45, -2*i = -5*v + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14985, -30252, -45521, -60792?\nAnswer: -76065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:19 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.2 - -20. Let s = y + -1.8. What is the closest to s in -6\/5, 0, -3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -430*j**2 - j - 607*j**2 - 34*j**3 + 36*j**3 + 223*j**2 + 0 + 1 in the form z*j**2 + v*j + w + t*j**3 and give z.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (754\/145)\/((-10)\/25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*f + 540259 - 540259.\nAnswer: 77*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 91 = 4*x, -4*k = -3*k - 5*x - 5. Let t be 24\/(-10)*k\/(-2). What are the prime factors of (t\/(-25))\/(2\/(-10))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/472 and -121\/12?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17216 by -4.\nAnswer: -4304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let f be w\/(((-14)\/4)\/(-7)). Differentiate -8 + 11 + 0*k - f*k**2 + 0*k wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32671 (base 8) in base 3?\nAnswer: -200212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 + 3*f**3 - 8*f**3 + (2*f**2 - 2*f**2 + 4*f**2)*(-7*f + 2*f + 2*f) - 5*f**3 + 4*f**3 - 3*f**3.\nAnswer: -27*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30481 is divided by 2451.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 1, r: 2, q: 3, g: 1, m: 3}. Give prob of sequence gwmw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(304)*-6 - (sqrt(171) + 3) - (((sqrt(19) + sqrt(171)*-2)*-6)**2 + -1)).\nAnswer: -17104 - 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 36. Let i = m - -36. What is the third derivative of 13*x**6 + 12*x**i + 0*x**2 + 14*x**6 - 28*x**6 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - x. Suppose 0 = -2*j + 10*j - 16. Let y(n) = -5*n**2 + n + 1. Calculate j*y(k) + 3*a(k).\nAnswer: 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -beb + -3?\nAnswer: -bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*b + 35. Is -19\/30 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 701223?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2354985 by -3.\nAnswer: -784995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:27 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/1151, -3\/2, -0.4 in decreasing order.\nAnswer: -3\/1151, -0.4, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24185?\nAnswer: 5, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1297 - 1295) + 41\/(-13) + 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**5\/120 + 2*m**3\/3 + 5. Let n(u) be the third derivative of p(u). Let y(j) = 10*j**2. Calculate y(n(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 509527032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/71? (a) 4\/5 (b) -0.1 (c) 3\/2 (d) -1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 - 128. Suppose -b + 4*b = g. Solve b*l + 7 = -3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (197\/5 - -1)*(-50 + 45). Let d = x + 317. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 1087480*f + 59130637520.\nAnswer: 5*(f - 108748)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12544 times -0.15?\nAnswer: -1881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 449171066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01685 in 11, -2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3))\/b)\/b*b**(3\/5)\/b*b*b*b*(b*b**(1\/3))\/(b*b**(-5)))\/((b\/b**(-5))\/b*b**(-3))**(2\/7) assuming b is positive.\nAnswer: b**(353\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1497*p*t**6 - 30970*p*t**3 + 166668*p*t**2 + 50*p wrt t?\nAnswer: 179640*p*t**3 - 185820*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-42) + 8\/(-6))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*b**2*h**3 - 2*b**2 - 3*b*h**2 - 296*h**3 wrt b.\nAnswer: 12*b*h**3 - 4*b - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 147\nAnswer: 7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -3232, -4 in ascending order.\nAnswer: -3232, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*(-2)\/5*-5. Suppose m - 6*m - 4*i + 49 = 0, 2*i + s = 2*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*z**2 - 80*z**2 - 28 - 24)*(-31*z**3 - 3*z**3 - 14*z**3).\nAnswer: 96*z**5 + 2496*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*q = -390*q - 565*q - 4212 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 48*n - 19. Let o be c(23). What is the highest common factor of o and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, o: 2, e: 1, v: 2, k: 1}. Give prob of picking 1 v, 1 t, 1 k, and 1 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 94806*k**2 - 284397*k + 189594 = 0.\nAnswer: 1, 2, 31599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 - 132105*x + 4 - 13*x**3 + 132099*x as k*x + c*x**2 + l*x**3 + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 12*p**2 + 11*p + 2. Let w be m(11). Suppose -w*g + 3*z + 62 = 0, -g = -0*g - z - 29. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 4800 - 4828 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 10*h. Is a(-7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -37646*a + 7. Let j(f) = -15*f**2. Give b(j(w)).\nAnswer: 564690*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 16439319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - -5.1. Let j = i + -7. Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (0 - (-1 + 4))) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/7 - 6*o**2\/7 + 80*o\/7 + 24 = 0. What is o?\nAnswer: -7, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.43 - 45.77. Let s = -1.02 - 44.98. Let m = u - s. Sort -0.7, 0.2, m in decreasing order.\nAnswer: 0.2, m, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, 195, 14, -5, -4.\nAnswer: -5, -4, 14, 195, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32993 - -32992. Sort h, -55, -60 in ascending order.\nAnswer: -60, -55, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 1:16 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -455.9 - 477297\nAnswer: -477752.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -28. Let s = 2605 + -2532. What is the least common multiple of s and g?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 0 - 5 - -6. Suppose -z*r + 8 + 30 = -2*p, -9 = -2*r - p. Find the third derivative of n**2 + 16*n**2 - n**4 - r*n**2 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22638.882 months in centuries?\nAnswer: 18.865735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 10 = 0, 28*k + 60 = -7*l + 2*l + 96 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zss when three letters picked without replacement from zssszszszzzszzzs.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-14) + (-11)\/(-18). Sort -19, p, 2\/11.\nAnswer: -19, p, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/56*-20*-7*1)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-117596)\/24 - (-1)\/(-6). What is h rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1271\/(-246) + (-2)\/(-12))*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79177 + -79177.0999984. Let v = 0.14 + -0.24. Let z = v - h. What is z rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1637846 (base 10) to base 8.\nAnswer: -6176726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 116*i + 130*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13*d = -396. Let l(j) = d - 17 - 25 - 5*j. Calculate l(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 26.979. Let h = -1.021 + p. Is h at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 875 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1805)\/(-228) + -11 - 9\/(-12)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273944?\nAnswer: 2, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*o + 225, 5*a - 10*a + 383 = o. Calculate the highest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2 + 3*t + 6. Suppose -58*h + 24 = -70*h. Determine n(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 - 316?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1348 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6606 and 136134?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w**2. Suppose -l - 3781 = -0*x - 3*x, 6311 = 5*x + 3*l. Let b(c) = 1261 - x - c. Give b(s(j)).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 493022747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*h = 5*h - 49480, 3*t - 2*h = 29693. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (43 - 62 - 78) + (-3 + -3 - 2)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 624\/308849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 663, 1426, 2493?\nAnswer: 3864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1533 and -33\/2496746?\nAnswer: 7490238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*s = 297*s + 28*s - 15660 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111004, 444006, 999040, 1776130, 2775300, 3996574, 5439976?\nAnswer: 7105530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 1961?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4503 - -4521.92. Round c to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -7*l**4\/8 - 390*l**2 - 5*l - 2. Let d(a) = -750*a**2. Determine o(d(q)).\nAnswer: 15750*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 2. Let f(p) = p. Give 4*f(c) + l(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from nhnnndhrhdnn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-12)*-44*216\/(-31680)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11106?\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*b**2 - 49\/3 - 42*b.\nAnswer: -(9*b + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (712\/445)\/(16\/45).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11769911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 822581434 to the power of 1\/2, to the nearest integer?\nAnswer: 28681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let y(g) = 13*g**2 - 14*g + 7. Let f(a) = 7*a**2 - 10*a + 4. Let v(s) = -7*f(s) + 4*y(s). Calculate u(v(m)).\nAnswer: 18*m**4 + 168*m**3 + 392*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 1.5. Let q = -36.43 + 78.43. Which is the nearest to -1? (a) q (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13627743.0317 - 13627034. Let o = z - 709. What is o rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.467 - -0.167. Let j = 18.01 + o. Round j to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/20 + -41\/140. Let n = a + -4\/21. Let h be (-1 - (-2 + 2)) + 2. Do n and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -25882575\nAnswer: 1\/5176515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7310061 is divided by 199?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 97?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 8*d + 4. Let x be n(-5). Let r = x - 21. Which is the biggest value? (a) 2 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 880 and 11088.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 11:16 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*11\/(-4488)*17.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*j - 74*j**3 - 17*j - 2*j**2 + 2*j**2 - 31*j**3 wrt j?\nAnswer: -630*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 184 = -2*w, -11*b - 8 = -13*b. What is the remainder when w is divided by 49?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -54. Suppose -5*m = 4*w - q, -2 = -0*m - m. Suppose w*c = 6*c - 48. Solve -i = 3*i + c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169601 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 246, 991, 2232, 3969, 6202, 8931, 12156?\n\"Answer: 248*z**2 + z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (-9 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246531 and 7008.\nAnswer: 575896416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 0 (c) 1.1228069 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000044044 rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 25*f + 5*f + 7*f as g*f**2 + n*f + l and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-3)\/51). Let m = -116\/21 + s. Which is bigger: -2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i + 12*i**2 + 5\/4*i**4 + 0*i**5 - 31\/120*i**6 + 0*i**3 + 0. Find the second derivative of r(g) wrt g.\nAnswer: -186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444492*t - 443536*t = -13254 - 8734 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**5\/2 + d**4\/3 - 13*d**3\/6 - 5*d**2\/2 + 90*d. What is the tens digit of y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1\/4 (c) -1 (d) 17 (e) -1.6 (f) -1933\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/81 and -25\/12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + 3 - 3)*(-37 + 37 + 23*o**2) + 10*o**2 + 0*o**4 - 11*o**2 - o**4 in the form x*o**3 + t*o + q*o**4 + p + v*o**2 and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + 0.36. Let l(r) = 17*r - 389. Let u be l(31). Suppose -126*n + 48 = -u*n. What is the closest to -3 in 4, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 5*t + 3*t + (-3*t + 3*t - 3 + t)*(366 - 204 - 206) to the form k + h*t and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 871 and 1198027?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9396 + -4340. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 53*c\/2 - 51.\nAnswer: -(c - 51)*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 237?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*k - 26670, 14*k - 13320 = 12*k - 5*l. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + i - 737, -3*f + 2*i + 598 = f. What is the remainder when f is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1868048 by 16.\nAnswer: 116753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/7 + 31*k**2\/7 - 41*k + 119 = 0. What is k?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 17?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 13. Let g(i) = j + 3*i - i - 7. Let s(l) = -18*l. What is g(s(m))?\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 19653.498 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 2*v**2 + 3*v + 3. Let o(x) = x**3 + x**2 + 1. What is 6*o(z) - 2*s(z)?\nAnswer: 2*z**3 + 2*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + -5 - 2*sqrt(35)\/sqrt(5).\nAnswer: -5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9))\/((-1)\/(-363)). Let x = -75 + m. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 6*h**2 + 5*h + 6. Let w be c(-5). Let z(t) = 15*t - 18*t + 7*t. Let v be z(w). Solve -5*p - 5 = x, -5*x - 3*p - 5 = -v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1245c + 5?\nAnswer: -12457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/24 + 2*d**3 + 3*d**2. Let a be b(-12). Solve s = 5*w, -s + w - 6*w + 10 = a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39622241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 + 333. Let y be (-1 - 15\/(-21))\/(v\/56). Which is the closest to 0.2? (a) y (b) 4\/9 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -x + 5, 6 = -3*x + 5*d. Let q = 0 + x. Solve -q*o = -k - 6, -o + 2*k + 2 = k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*1.073\nAnswer: -0.02146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 + k**2)*(k**3 - 2*k**3 + 2*k**3) + 93535*k**2 - k**4 + 155*k - 93535*k**2 - 7*k**5.\nAnswer: -6*k**5 - k**4 + 155*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 3830*r - 733445.\nAnswer: -5*(r + 383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 235129801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in -124\/65, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 73. Put 0, -2, 8, l in ascending order.\nAnswer: -2, l, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58, -106, -154, -202?\n\"Answer: -48*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 1, d: 1, g: 1, v: 2}. What is prob of sequence vo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1814, -5, -6, 35, -2, 5, -7 in descending order.\nAnswer: 35, 5, -2, -5, -6, -7, -1814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-252)\/378 + 8\/(-2 + 0)). Let o be 2 + 1800\/(1 - -2). What is the greatest common factor of h and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 568.9 + -569. What is the nearest to 0 in n, 0.3, -0.04, 2\/7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594116.\nAnswer: 2, 17, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + d. Let i(u) = u**3 + 7*u**2 + 2*u - 6. Determine -3*b(s) + i(s).\nAnswer: s**3 + 4*s**2 - s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16403 by -1136.\nAnswer: -16403\/1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, -58, -114, -192, -292, -414, -558?\n\"Answer: -11*l**2 - l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0*n - 1\/6*n**3 - 1\/8*n**4 + 7*n**2 - 1\/60*n**5 + 0. Suppose 17*u = 16*u + 3. Determine d(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yczqccazczzcccya. What is prob of picking 2 a?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -39, 0, -78, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 0.12. Let n = v + 3.92. Let o = -0.5 - -0.5. What is the nearest to o in 0.1, n, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 2*b**2 + 3*b. Let c be t(3). Let r = 4354\/17 + -256. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633797 a multiple of 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67082 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4926758 rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 269847 and 67803.\nAnswer: 337650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (160 + -33 - 183).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -74*q**3 - 5*q**2 + 5*q. Let f(h) be the second derivative of -2183*h**5\/20 - 37*h**4\/3 + 74*h**3\/3 + 12*h - 25. Give -5*f(l) + 148*y(l).\nAnswer: -37*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwgwgwqqgqqqwgqqqp. Give prob of sequence ww.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 244 = -3*d, 2*d = -4*s + 1469 - 957. What is the highest common factor of 1179 and s?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9) - (-10)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x + 11. Let q(m) = -7*m + 22. Let y(i) = 5*c(i) - 3*q(i). Suppose l = 3*l. What is y(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 299, -4, 0, -1, 3 in decreasing order.\nAnswer: 299, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045 is divided by 86?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnng when four letters picked without replacement from gggnnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (51837\/(-6990) + 2). Let i = c + -27\/233. Let s = 1202\/5 - 3416\/15. Calculate the common denominator of s and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 3. Calculate g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02081 to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-8*5\/14)\/((-2)\/14) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*(sqrt(24)\/sqrt(128) - -3*2*sqrt(3)))**2 - 5*(sqrt(192) + sqrt(192) + (sqrt(192) + (sqrt(192) - 2*sqrt(192)))**2 + -3)).\nAnswer: -80*sqrt(3) + 2083\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3\/2 (c) 64.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3587, 7122, 10657?\n\"Answer: 3535*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1775572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 - -221.59. Let z = 0.09 - i. What is z rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 8*v + 1594, 15*w + 1586 = 16*w - 4*v. What is the greatest common factor of 24 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 4*r**2 - 3*r - 5. Let u be c(5). Factor 3*a**5 - 3*a**4 + 7*a**4 + a**u.\nAnswer: 4*a**4*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -7*u**5\/30 - 11*u**4\/12 + 30*u**2. Find the second derivative of w(c) wrt c.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/58 and -32\/7569?\nAnswer: 15138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2. Let u(c) be the second derivative of -11*c**3 + 42*c. Determine u(d(n)).\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 268c23 (base 15) in base 8?\nAnswer: 7041511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 789.7 times 0.7?\nAnswer: 552.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z. Suppose n + 3*r - 16 = -0*r, 0 = 2*n - 3*r - 50. Suppose -o + 3*o - n = -4*j, z = 4*j - 2*o - 10. Solve k - j = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192325*k = -j - 1192326*k - 12, 2*j + 119*k = -24 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 11:02 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 3096a3?\nAnswer: 3096a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 9. Suppose -q + 4*q + x = f, -2*q = -x + 1. Let u be ((-19)\/q)\/((-1)\/10). What is the highest common factor of 38 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303.2954352 rounded to 0 decimal places?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 36*-120\nAnswer: -4320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14941265 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*q**4 + 22*q**3 - 187043*q**2 wrt q?\nAnswer: 2424*q + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1365510 and 4.0455.\nAnswer: -1365505.9545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2783262 - 3?\nAnswer: -2783265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*f - 23*f + 14*f - 53*f to the form m + u*f and give u.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34836.7ns to seconds.\nAnswer: 0.0000348367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2646 - -4303. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 94*i**2 + 3*i + 15. Let d(u) = 2*u**2 + 7*u - 11. Let h be d(-4). Let n be q(h). What is n rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*u = -153 - 35, -3*v = -3*u - 540. Suppose -4*z + 0 = 4, -2*z = 5*x - v. Solve -2*g = -14*g + x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - -2)\/(7\/14). Suppose b = 6*b - i. Let x(o) = 0*o**3 + 13*o + 2 + o**3 + b*o**2 - 8*o. Calculate x(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*t - 40*t + 10. Let a(p) = p**3 - 6*p**2 + 7*p - 6. Let m be a(5). Suppose -b = m*b - 20. Solve 4*s = 8, q + t*s = -b*q - 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 3*r - 3. Let y be c(4). Is -4\/3 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 28*s**2 + 31*s + 46. Let n be y(29). Suppose 0 = -3*w - 4*o + n, 0 = 4*w - 0*o - 3*o - 2373. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16935 and -2814.\nAnswer: 47655090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -86831, -86841, -86851, -86861, -86871?\n\"Answer: -10*i - 86821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -62*x - 8. Let q be r(-6). Let c = -91 + q. Let n = c - -87. What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394649365 to the nearest integer?\nAnswer: 19866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 - 358*j**2 + 615*j + 622. Determine n(-121).\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q = -22. What is the least common multiple of 177 + ((-13)\/4 - 3\/(-12)) and q?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 360 + -426.7. Let m = r + 67. Are 6 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (986\/(-145))\/(4\/(-6) + 220\/150)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k**2 + k. Let o be c(-6). Let v = 471 - o. Suppose 2*n + 21 = v. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3572 = 142*l - 2644 + 3474 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14987833 at most -14987834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07328 - 2.87748. Let v = 2.44 + 0.36. Let x = v + m. What is x rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g - 3. Let b be x(2). Let i = 7 - 5. Is (161 - (i - b)) + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21603*b**2*p**3 - 1830*b*p + p**3 + 33*p**2 + 326*p wrt b?\nAnswer: 43206*b*p**3 - 1830*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214927 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1337478 - -259522. Round u to the nearest ten thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*b + 12 = 0, 6*t - 3*b = t + 15. Suppose -t*h = -33 - 75. Suppose -47 = 5*j - 137. What is the greatest common divisor of h and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddu when four letters picked without replacement from duuddd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 3*s**4 + 0*s**2 - s**4 + s**2 + (-1 + 1 - 2*s)*(3*s**3 + 2*s**3 - 3*s**3).\nAnswer: -2*s**4 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/((-2)\/12). Suppose l = o + 2*o. Let q = 19 - 11. Solve 3*i - q*i - 17 = d, d = -i - o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -1.17102.\nAnswer: 0.234204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 e when three letters picked without replacement from {v: 4, e: 8, w: 5, f: 2}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3936 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - i + 8. Let c be h(4). What is the remainder when 775\/10*c\/(-15) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.9 - 8. What is the closest to -2\/5 in -5, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*o + o - 106, 4*v = -2*o + 86. Let m be (320\/55 - (-4)\/v) + -1. Suppose -125 - 290 = -m*q. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12394 is divided by 170.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usjgsujta. Give prob of sequence jjs.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2053116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2234299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 + -61. Let o(p) = -p**2 + 23*p - 10. Let y be o(u). What are the prime factors of (-26 + -1)*(-4)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 10:49 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 1558?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 1, g: 1, d: 3, v: 5, i: 4}. What is prob of sequence oidd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 0*f**2 + 0*f**2)*(-f - 2*f + 2*f) - 11*f**3 + 30*f**2 - 30*f**2.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69 and 0.0238?\nAnswer: -1.6422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.115, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.75 - -0.719. Let x = z + -0.369. Let o = -0.3998 - x. Round o to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**3 - v**2. Let j be h(-1). Let k = 39 + -21. Suppose -j*i - r + k + 18 = 0, -r + 4 = i. What is the least common multiple of 20 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*sqrt(931).\nAnswer: -42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ae + 6d36?\nAnswer: 6de5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3814743556 to the power of 1\/3, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*v = 26, 4*v + 44 = 4*q + 2*v. What is the least common multiple of 1 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 3:33 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -38. Let f(h) be the third derivative of 1\/1680*h**8 + 1\/210*h**7 + 1\/60*h**k + 1\/30*h**5 + 1\/30*h**3 + 1\/24*h**4 + 0*h + 0 + 3*h**2. Factor f(j).\nAnswer: (j + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:39 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + sqrt(343) + -3)**2.\nAnswer: -16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, q: 3, i: 2, t: 1, v: 1, s: 1}. Give prob of sequence qri.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = l + 18. Suppose 3*t = l*t - 10*t. Factor t - 1\/7*f**3 + 1\/7*f**2 + 2\/7*f.\nAnswer: -f*(f - 2)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80997 - 89427 = -281*g for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16979546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7597 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1 + 0*p**2 - 4 + 2*p**2 - 7*p - 3*p**2. Let w be z(-5). Suppose 1224 + 31 = w*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 156043?\nAnswer: -156060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3*t**3 + 2*l**3*t - 21*l**2 - 250*t**4 - 4*t wrt t?\nAnswer: 6*l**3*t - 3000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/14)\/(8\/28). Suppose 1 = m - o*m. What is the lowest common multiple of 7 and (-6)\/(-4)*6 + m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990549031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24680 or -26956?\nAnswer: -24680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.311 times -0.6?\nAnswer: 0.1866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 399557, 399556, 399555, 399554, 399553?\n\"Answer: -y + 399558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.6, 0.3, 2, 1, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 9 - -19) + -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -20*f + 186. Let p be r(6). Let v be (4\/p)\/(39\/351). Factor 24\/11 + 18\/11*s - v*s**2.\nAnswer: -6*(s - 4)*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:40 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 8*t + 6. Solve 0 = -3*s - t*u + 8, 2*s - 5*s + u - 4 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 5, -20\/107, 0.5, 0.989?\nAnswer: -20\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 4*m - 28, 8*y - 113792*m + 113793*m = 32 + 12 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 - (-206 + 29 - 30)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + t + 4. Let d be u(0). Suppose d*l - 43 - 41 = 0. Is 90\/l - (-4)\/(-14) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -1\/18*c**3 + 86*c + 1\/60*c**5 - c**2 + 0 + 1\/6*c**4. Factor m(z).\nAnswer: (z - 1)*(z + 1)*(z + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/14 and -23\/724?\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-7))\/((-16)\/112). Let z be (4\/(-6))\/(v\/54). Solve -z + 15 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13*q + 197. Let d be j(-11). Suppose 0 = -4*v + 6*r - 8*r + d, v - 9 = r. Solve 0 = -l + p + 2*p + 9, 4*p = -v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/15 + 5124*s + 460944\/5.\nAnswer: 2*(s + 18)*(s + 38412)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 6.3\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f + 11. Let h(m) = -m**2 - 11*m - 13. Let w be h(f). Let q = -818 - -822. Put w, -2, q, -5 in decreasing order.\nAnswer: q, -2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:04 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l**2 + 21*l - 11. What is y(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 7\/750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2129 + -2130. What is the third biggest value in -2\/5, 0.12, q, 1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9467239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -83*k - 821. Let u be r(-10). Solve -u*s - 10 = -4*s - 2*b, -5*b - 8 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaomzub. Give prob of sequence azb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 71, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*1456\/(-156).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 + 173. Let m be (-24)\/1072*(-24)\/o. Is m < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.9 + 32.4. Put d, -2\/193, 3, -5 in increasing order.\nAnswer: -5, -2\/193, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42824*l**3 - 4*l**2 + 3361 wrt l.\nAnswer: -256944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2215 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t - 3*y + 13, -5*y - 15 = -4*t. Suppose 0 = t*v + 4 - 19. Suppose v*x - 70 = x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2027 + 2928. Calculate the highest common divisor of a and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 7\/14) + (-38)\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0584? (a) 3\/373 (b) -1 (c) -5 (d) 1\/5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5 = 23 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2065*s**2 + 4108. Let u(w) = -2063*w**2 - 4108. Let v(g) = -6*t(g) - 7*u(g). Differentiate v(h) wrt h.\nAnswer: 4102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 1.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.019817 rounded to two decimal places?\nAnswer: 3.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s. Suppose 207 = 3*j - 4*t + 41, -t = -3*j + 163. Let g(l) = -54 + j - 3*l**2. Give w(g(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 5, -5346, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 6. Let p = 2 + 2. Let f(c) = 2*c**2 - 7*c + 5. Let a be f(p). Let r = -5 + a. Calculate m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15 - -28) + -12)\/((-2)\/(-14)). Solve 3*a - 2 + 5 = 0, 3*r = -a - t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 2:05 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*b**4 + 22*b**4 + 28*b**4)*(5 - 5 + 5) + (4 + 0 - 3)*(2*b**4 - b**4 + b**4) - b + 2*b + 2*b**4 - 3*b**4.\nAnswer: -159*b**4 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*o + 16, o - 2*x + 5 = 2*o. Let d be (-4)\/8 - 1\/4. What is the fourth smallest value in o, 2, -0.4, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 961559426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192451.\nAnswer: 7, 19, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*s**4 + 2*a**3*s**3 - a**3*s - 462*a**3 + 2*a*s**3 + 2*a*s**2 + s**3 + 2 wrt s.\nAnswer: 48*a**3*s + 12*a**3 + 12*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 bigger than -15565415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, j: 1, f: 3, k: 3, m: 3}. Give prob of sequence mkk.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4375, 9732, 15089, 20446?\n\"Answer: 5357*q - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -17 + 85 + 71*s**2 + 15*s - 63*s**2. List the prime factors of p(-7).\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 + 223805*c**3 + 50088678025*c**2 + 11210096585385125*c\/3.\nAnswer: c*(c + 223805)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 5:53 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + 136. List the prime factors of i.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 134832*n**2 - 101316072*n + 19032845403.\nAnswer: 3*(212*n - 79651)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/10)\/(48\/40)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(1584) + -1*sqrt(1584).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 15 + -26 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698811738?\nAnswer: 2, 3, 116468623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - r**3 - 5*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = 21*i - 4077. Calculate the remainder when 1035 is divided by i.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46344799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 6:21 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-8*o + 3*o**3 + 4*o**2 + 8*o) + (-4*o**2 - o**2 - o**2)*(-3 + 4*o + 3).\nAnswer: -18*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4 = -3*x + 4*s, 0 = 3*x + s + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.127, 2, -2\/5, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134756738*t**5 + 6*t**2 + 175647*t wrt t.\nAnswer: 8085404280*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 20606152?\nAnswer: 20606146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3920*q + 918 = -202922 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -r + 30, 4*d + 72 = 3*r. Suppose r*j + 43 = 29*j. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1058718*1\nAnswer: -1058718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/12 - v**3\/3 + v**2 - 3*v. Let q be i(-2). What is the third derivative of -2*x**2 + x**q - 2*x**3 + 5*x**3 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 238, 480, 724, 970, 1218, 1468, 1720?\n\"Answer: w**2 + 239*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288\/156 - 2 - 7321\/(-13).\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*m**3*w - 475*m**3 + 6*w**2 wrt w?\nAnswer: -36*m**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let d(b) = -8136019*b. What is l(d(x))?\nAnswer: -8136019*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 327 + -2285\/7. Which is the second smallest value? (a) z (b) 4 (c) 0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19149 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suc when three letters picked without replacement from drucccssucsdsw?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iifss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (680\/136)\/((-230)\/3174).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0.1, -1, -2\/9 in descending order.\nAnswer: 9, 0.1, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 28. Let y = -0.16 - -0.24. Which is the smallest value? (a) x (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85495 - 57921. Does 73 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20008894 to the nearest integer?\nAnswer: 4473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y + 14. Let s(g) = -g**3 - 6*g**2 + 6*g - 4. Let r be s(y). Suppose 0*k = k - r. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*c + 81 - 20, 5*c + 50 = 5*p. Suppose 3*o - p = 35. What is the remainder when o is divided by (-1 - -4) + 24\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787359 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5 + sqrt(147) + (sqrt(147) + -4)**2 + -4 + (-1 + sqrt(147))*1)*-6)*6.\nAnswer: -5502 + 1512*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10584280 and 226072.\nAnswer: 116427080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 11.64. Let h = s + 0.04. Let v = 4457\/2 + -75765\/34. Put 5, v, h, -3\/5 in descending order.\nAnswer: 5, h, v, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 350*i - 47394. Determine h(134).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wve when three letters picked without replacement from {e: 8, w: 1, v: 10}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 632 - 616. Solve 6*k = 2*k + f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*8\/(-1204))\/((24\/(-42))\/((-4)\/14))\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) 1 (c) 3 (d) 1\/9 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 1301*v - 18928*v**2 - 1301*v + 18931*v**2.\nAnswer: -9*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8*n**2 - 15*n + 5. Let o(w) = -2*w**2 - 4*w + 1. Calculate -2*b(p) + 9*o(p).\nAnswer: -2*p**2 - 6*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284938999.\nAnswer: 389, 732491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {b: 1, j: 1, e: 3, x: 5, k: 1, y: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/294)\/((-1)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(35\/(210\/(-16))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/22, 460.3, 5, -0.016 in descending order.\nAnswer: 460.3, 5, 5\/22, -0.016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*k - 101, 2*k = -2*h - 3*k + 53. Let n = 56 - h. Suppose -f + 1 + 5 = 3*o, 4*f + 4*o = n. What is the highest common divisor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42031706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 240*i**3 + 2*i - 2. Let s be g(1). Suppose -8*f - 16*f = -s. What is the remainder when 29 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 + 40\/105. Let f = 7 + -12. What is the closest to -1 in 1\/4, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 1206438?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 87 + 178 = 3*f, -2*m + 350 = 4*f. Sort 4, f, -3, 1 in descending order.\nAnswer: f, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -484 in -3, 0.0975, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3756)\/(-8))\/(36\/(-266)). Let m = 3471 + l. Calculate the common denominator of 6\/8*780\/(-18) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1293, 1276, 1247, 1200, 1129?\n\"Answer: -j**3 - 10*j + 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, -634, -2125, -4394, -7429, -11218, -15749, -21010?\nAnswer: -26989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329439 by -29949.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/8 + (-1)\/(-4) - (-1538 - -1515).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 3*y - y)*(1638 - 875 - 3398 - 2853)*(-5*y**3 + 4*y**3 + 0*y**3).\nAnswer: 5488*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20734675449 - -3.8.\nAnswer: -20734675445.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346092?\nAnswer: 2, 3, 151, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1743.7 from 2.\nAnswer: -1741.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-2*(sqrt(17)*-2)**2 + sqrt(17))) + 4*(2 + sqrt(17))**2 - (3*sqrt(68)*4)**2*-2) + -4.\nAnswer: 16*sqrt(17) + 19800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7898*z**2. Let u(n) be the third derivative of n**5\/30 + 8*n**2 - 10*n - 9. Determine u(h(w)).\nAnswer: 124756808*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -163 + 81 + b + 82. Let y(w) = -2*w**2 + 11*w**2 + 0*w**2. Give t(y(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22542 - 123?\nAnswer: 22415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.22 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/28860*-13)\/((6\/9)\/((-40)\/(-4)))\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(637) + (sqrt(637) - (sqrt(637) + 1)**2) + sqrt(637) + sqrt(637) - (0 + sqrt(637) + -3)**2.\nAnswer: -1280 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253 divided by 6?\nAnswer: -1253\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1338 or 12\/79465?\nAnswer: -1338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -110 (b) 0.01 (c) 9 (d) 0.5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.048, -3\/4, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/20 + 5*l**4\/12 - l**2\/2 + 2*l - 5234. Calculate u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -417152\nAnswer: -7508736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/5, -5, -1\/3, 2, 0, -3 in descending order.\nAnswer: 22\/5, 2, 0, -1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 455510*f**3 - 1 - 2*f**2 - 2*f - 455560*f**3 - 1 as o + k*f + a*f**3 + r*f**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 12:29 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**4\/12 - 7*k**3\/6 - k**2 - 6*k. Let w be c(-6). Let f be 3*(w - (5 - 3))\/(-2). Sort f, 9, -2 in decreasing order.\nAnswer: 9, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Let t be -3 + 355 + 1*d. Suppose -44 = 2*k - t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + 8 + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 2*y = -31 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 66. Let r be u(-78). Solve -23*l + r = -26*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/35)\/s*s**(2\/5) assuming s is positive.\nAnswer: s**(-23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, x: 2}. Give prob of sequence xxq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889718.\nAnswer: 2, 444859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 23 + 7 = 0. Let w = 125 + -124.555. Let u = w + 0.055. What is the biggest value in -0.3, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1081663583?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcci when four letters picked without replacement from {i: 2, t: 3, j: 2, c: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 23*h + 106 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 512*i - 516 = 0. Calculate i.\nAnswer: -1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80406 is divided by 742?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 27. Let y = 10 - p. Factor 8 + 25*b - 11 + 5*b**y + 23.\nAnswer: 5*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 5 + 0 + (3 - 3 + 2)*(-2 - 4 + 4) - 1 + 5 - 2)*(-4*q**3 - 17 + 15 + 5*q**3) to z*q**2 + r*q**3 + h + u*q and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/66*(0 + -12) and (14\/(-294))\/(-1 + 20\/18)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 + 80 - 395 = 108*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.359986 to 2 dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 52 - 2 = 0. Suppose -2*n - 4*m + 0*m - 70 = 0, 3*m - 35 = n. Let o = -5 - n. What is the greatest common factor of o and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 502 + -499. Let i(a) = 2*a**3 - 5*a**2 + 3*a - 3. Give i(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -149, -228, -307?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 16, o: 4}. What is prob of picking 4 o?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 3. Determine u(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 630\/(-7998) + (-86)\/(-1849). Does c = -332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-8) + (-2)\/8. Solve 12 = -d*k, u - 4*k = -5 + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96690 or -96708?\nAnswer: -96708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 4*b + 1. Let s be w(3). Let g be -44*((-2)\/s - 0). Let m = g - 15. Is 7 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370979303?\nAnswer: 2879, 128857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 133*q = 38*q + 2*v - 680, 3*q = -v - 34 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**0)\/l)\/(l**(-6)\/l))\/(l**(-2)\/l**11) assuming l is positive.\nAnswer: l**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -243*n**5\/5 + 134*n**4\/3 - 592*n. What is the third derivative of p(f) wrt f?\nAnswer: -5832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10373 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 a when four letters picked without replacement from {h: 17, a: 3}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 88*l - 618. What is f(-14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 1, 5 in increasing order.\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2178.054 millilitres to litres.\nAnswer: 2.178054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x**5 - 5*x**4 + 68*x**3 - 56*x**2 + 35*x + 11. Let v(n) = n**5 + n**4 + 2*n**3 + n + 1. Let j(d) = 2*t(d) - 22*v(d). Let j(o) = 0. What is o?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose -2*k - 2*s - 16 = k, -2*k - 9 = h*s. Let n(l) = l**3 + 6*l**2 - 2*l - 9. What is the units digit of n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 59*i - 1632. What is l(27)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = u - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 2*d - 2 + 0 + (-2*d - 4*d + 5*d)*(5 - 1 - 3).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 14. Put i, -2, -5 in descending order.\nAnswer: -2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1847.1837 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6527 - 117455\/18. Suppose 0 = 3*t + 2*w - 0*w - 1573, -3*t + w + 1576 = 0. Let y = t - 8451\/16. Find the common denominator of z and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, s: 5, t: 5}. What is prob of sequence ttu?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 276*c - 233. What is y(-96)?\nAnswer: -1385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 9:16 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7535129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.35 + 4.15. Let j = h + -4. Let s = 270 + -1887\/7. What is the nearest to j in s, 4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-3 - (2 + (-692)\/140))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 14. Suppose 27 = 4*n - 1. What is the greatest common divisor of z and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 0 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 99 = 69. Let r = n - -107. Suppose 0 = 4*j + 12, 4*a = 2*j + 3*j + r. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, -4414, 0.5, -5 in ascending order.\nAnswer: -4414, -5, 0.4, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 8 + 0 - 19)*(0*x + x + 3*x)*(-3 + 3 + 3) to the form v*x + j and give v.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*n = -4, -3*s + 4*n + 0*n = -25. Solve l + s*m = 3, -2*m + 3 = -0*l + l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.49425196 to 3 dps.\nAnswer: 0.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -40*a**2. Let o = 6816 - 6788. Suppose w - 5*i - 14 = 20, 2*w = 4*i + 44. Let u(p) = w*p + 13*p - o*p. Calculate r(u(b)).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 1:27 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94083997 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.6*-387.\nAnswer: -6811.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 = 3*s. Suppose s*g - 72 = -0*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414300 is divided by 103570.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235643, -235642, -235641, -235640?\nAnswer: -235639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - 13 - -26)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*v**2 - 251*v**3 - 131*v**2.\nAnswer: -251*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*l - 24. Suppose -5*k + 2 = -2*i, -2*i - i - 4*k - 3 = 0. Let n(q) = -41*q - 1. Let z be n(i). Calculate the highest common divisor of z and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182249519, 182249528, 182249543, 182249564?\nAnswer: 182249591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a - 20 = 0. Suppose -a*c + 4*c = 5. Let f = c - -13. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 862, 1942, 3454, 5398?\nAnswer: 7774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2356 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 861910212?\nAnswer: 2, 3, 113, 563, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -307175743 divided by -203?\nAnswer: 1513181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2\/15 + (-2598)\/(-90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*u + 55*u + 53*u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 1152*k - 1296 + 32*k**3 - 4*k**4 + 78381*k**2 + 0*k**4 - 78693*k**2 = 0. Calculate k.\nAnswer: 2, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q**2 + 9*q + 3. Let b(u) = 7*u**2 + 8*u + 2. Let v(n) = 6*b(n) - 5*w(n). Let o be v(3). Let l be (15\/(-4))\/(1*(-3)\/o). Is 29 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.0253, 9, -5?\nAnswer: 0.0253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*h + h = -10, 0 = -3*h. Find the second derivative of -m + 7*m - m + 2*m**t + 15*m**5 wrt m.\nAnswer: 340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 856324*-0.05\nAnswer: -42816.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + f - 2. Let z be s(1). Let t(l) = -1 + z - 17*l + 20*l. Let w(q) be the third derivative of 7*q**4\/24 - 3*q**2. Calculate w(t(b)).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 34 + (-16 - -6) + (-10 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1682 (base 9) to base 10.\nAnswer: -1289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 minus 0.020691?\nAnswer: -83.020691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -80*l**4 + 88*l**3 + 3*l**2 - 16*l - 1. Let o(j) = -j - 1. Suppose b = -3*a - 10, -4*a - 6 = 6. Let v(n) = b*k(n) + 3*o(n). Factor v(z).\nAnswer: (z - 1)*(4*z - 1)**2*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**4 - 14*a**2 + 8 + a - 4 + 13*a**2 to the form t + p*a**4 + w*a**2 + o*a + b*a**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -112. Calculate the common denominator of 83\/8 and (-540)\/v*1\/(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*k = 912, -5*b - 309 = -k - 1449. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = 0. Suppose -5*o = -2*w - 18, -5*o + 5*w + 21 - 6 = 0. Solve o + s = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 plus -3?\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-5))\/1 + (-54)\/12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d. Let x(q) = 408*q**2 - 8*q + 216. Calculate g(x(m)).\nAnswer: 1224*m**2 - 24*m + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 3. Suppose -4*v + 14 - 26 = 0. Calculate the remainder when 43 is divided by s(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*r**2 - 104*r + 11*r**2 + 20*r**2 to the form o*r + s*r**2 + i and give o.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1774, -1780, -1790, -1804?\nAnswer: -1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/20 + f**4\/12 + f**3\/6 + 5*f**2\/2 - 5*f. Suppose g = -3*r - 545 + 547, 0 = -2*r + 3*g - 6. Determine l(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*g - 57 - 97*g + 204*g)*(3*g**4 - 3*g**4 + g**4).\nAnswer: 13*g**5 - 57*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5116\/9 + -102689\/180. What is the common denominator of h and 2\/8 + -1 - -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 212 + 184 = 0, -14 = -3*r - 2*w. Let m(q) be the third derivative of 0 + 0*q**3 - 8*q**2 - 1\/120*q**5 + 1\/6*q**4 + r*q. Factor m(b).\nAnswer: -b*(b - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 6*g. Let s(b) = 3*b + 2. Let c be s(-3). Let l be v(c). Calculate the remainder when l\/1 + (-4)\/((-16)\/(-4)) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -4 (c) 1\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 880 and 705558\/803 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**6 + n**5 - 2635*n**4 - 33*n**2 - 151*n - 2.\nAnswer: -240*n**3 + 60*n**2 - 63240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let l(t) be the first derivative of 7*t**2\/2 + 8. Determine l(s(c)).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348895269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0*h + 7*h + h - 10*h.\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 greater than -33.41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248168078.\nAnswer: 2, 4021, 30859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -10 (c) -2 (d) 1\/5 (e) 7 (f) 1945 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-989*t + 1215616 - 1215616)*(-4 - 1 + 3) - 5*t + 3*t + 4*t + (0*t + 2*t - 4*t)*(2 + 0 - 4) as x*t + u and give x.\nAnswer: 1984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -4*b, 2*b + 5*g - g = 6. Suppose -7 - 1 = -2*l. Let h be 66\/8 - 1\/l. Solve -5 = b*z - h*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*s**3 - 3*s**2 + 0*s**2 - 47*s**3)*(100*s**2 - 174*s**2 - 164*s**2).\nAnswer: 476*s**5 + 714*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -276, -361, -444, -525, -604, -681?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150940153 to the power of 1\/2, to the nearest integer?\nAnswer: 33926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1\/1044) - (203 - 196). Round j to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/4)\/(6\/(-14 + 2)). Find the second derivative of -12*n + 13*n + 33*n - 10*n**2 - f*n wrt n.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1601 + 12445?\nAnswer: 14346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7024 + -7021. Let u(z) be the first derivative of 1\/14*z**2 + 6\/7*z + 1 - 1\/21*z**q. Factor u(g).\nAnswer: -(g - 3)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44800*n**3 - 16407*n**2 - 45273*n**3 + 16407*n**2.\nAnswer: -473*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23533?\nAnswer: 101, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4*u = 4, 3*y + 5*u = -y + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203611*m**2 - 101660*m**2 - 15*m + 15*m - 101948*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*u - 2 = 2*d, 5*u + 10 = 0. Let p be (d\/(-4))\/((-7)\/(-28)). Let l be (p\/4)\/(3\/(-24)). Sort 5, l, -3 in increasing order.\nAnswer: -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (8 - 4 - (10 - (6 + -7)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**4\/12 - o. Let x(c) be the third derivative of c**4\/12 + 4*c**2. What is x(m(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w = 0. Let k = -10652 - -10852. Suppose y - 67 = 4*c, -4*y - c + w*c = -k. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 25*t + 16. Let a(i) = -5*i - 3. Let s(d) = -11*a(d) - 2*q(d). Suppose -32 + 4 = -5*h - r, -3*h = 4*r - 27. Suppose -4 + h = -n. Determine s(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -26*m - 126. Let a be s(-5). Suppose 5*f - 99488 = -g, 0 = a*f + 8*g - 7*g - 79590. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + k**2 + 2*k**4 + (0*k**4 + 3*k**4 - 2*k**4)*(3 + 2 + 6).\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*w + 57083 - 16007 = -527*w - 267*w for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 18501410 less than or equal to 18501408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 3. Let n(c) = 8 + 3 - 10. Let i(t) = t**2 - 5*t - 4. Let u be i(5). Let y = u - -3. Give y*l(g) - n(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 123, 445, 1071, 2103, 3643, 5793, 8655?\nAnswer: 12331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000053161096 to seven dps.\nAnswer: 0.0000532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 20. Suppose -784 = -r*l - 11*l. Calculate the greatest common factor of 448 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11662, 218 in ascending order.\nAnswer: -11662, -3, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9269157463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, y: 5, r: 4, d: 8}. Give prob of sequence yrd.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*a - 18. Let g be (a\/5)\/(1232\/605 + -2). Solve 20 = g*r - 15*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 5*f - 4*f)*(3*f - 5*f + 7*f + 2*f + 3*f - 4*f + (4 - 3 - 3)*(-4*f + 4*f - 2*f) - 3*f + f + 0*f - f + 2*f + 0*f + f + 3*f - f).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 - 131. Let j(g) = 64*g**2 + 4. Is 52 a factor of j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62.65173469 - 431.\nAnswer: -493.65173469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 - -115. Let n(d) be the third derivative of d**6\/40 - d**5\/20 + d**3\/3 - 12*d**2. Does 30 divide n(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967 < 1967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497861.\nAnswer: 7, 13, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40657225.\nAnswer: 5, 7, 379, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) - 244\/36. Let u(q) = q**2 + 6*q - 7. Let t be u(p). Suppose -4*b - 5*n - 4820 = t, 5*n + 272 = b + 1452. What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/30 and -103\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 27 (b) -4446 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -976*g + 1 + 342*g - 2010*g - 9. Let z(o) = -o**3 + 4*o**2 + 5*o - 7. Let k be z(5). Let c be h(k). What is c rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131.7718 - -7218991.\nAnswer: 7218859.2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, 0, 1\/10 in decreasing order.\nAnswer: 2\/7, 1\/10, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28880181 divided by 6891\nAnswer: 4191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 14*a**2 - 31*a - 89. Let g be n(-13). Let r = 463 - 458. What is the highest common factor of g and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3245 and 3685?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651 = -459*o + 192 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3171*f + 3176*f + 50, -4*f = -23*x + 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from dkkkddkkddkk?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/(-14) - (-624634)\/2093) + 4\/(-26) is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 371713.221 to the nearest 1000.\nAnswer: 372000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3. Suppose 0 = 2*a - 2*u - 12, 3*a - u = 7 + 1. Give g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7*w + 766 = 7628, 2*h - 3392 = -3*w. Calculate the lowest common multiple of h and 310.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3934, -8442, -13108, -18010, -23226, -28834?\nAnswer: -34912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -19*a**3 + a**2 + 2*a. Suppose 0 = 5*b + 70 + 20. What is the least common multiple of h(-1) and 128\/3 - (-12)\/b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f8 - -3?\nAnswer: 7fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*213.6\nAnswer: -213.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 4*r + 1. Let j(o) = -2*o**2 + 8*o + 1. Let z(f) = -4*j(f) + 7*x(f). What is the remainder when z(-4) is divided by (-1)\/2*(-25 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/(x*x**(1\/3)))\/x)**(1\/17)*(x\/(x*x**1\/x))**(1\/13))**27)**1 assuming x is positive.\nAnswer: x**(-9\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b. Let r(d) = d - 2. Let x be r(4). Let f(k) = 3*k - x + 2. What is -9*f(l) - 4*h(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 29 (b) 7\/4 (c) 12842\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 - 378 + 190 + 21*t.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 17*u - 57. Calculate the remainder when 164 is divided by y(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -8 - (15 + -42 - -21)) + (-2 - -17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1746*j**2. Let r(s) = 6099*s**2. What is y(r(z))?\nAnswer: -64947360546*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p + 1. Let o = -0.06 - 4.94. Let r = o + 5.4. Which is the third biggest value? (a) -0.1 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n = 156. Suppose -40*m - n = -41*m. What is the highest common divisor of 78 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2219*k**2 - 3*k - 8. What are the prime factors of m(-2)?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/31 (b) -3\/4 (c) -0.2 (d) 0.4 (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -40314202 (base 6) to base 10\nAnswer: -1145306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476*c + 530*c - 33912 = 0. What is the remainder when c is divided by 132?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -2480, 0 in descending order.\nAnswer: 48, 0, -2480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.861 and 1870?\nAnswer: 1610.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, b: 2, k: 7}. What is prob of sequence kkbb?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = k - 31886*w + 31887*w, k + 2*w = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*u**2 + 26058*u - 9480.\nAnswer: 3*(u + 790)*(11*u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - 41*q - 14. Let z(n) = -7*n**2 + 41*n + 12. Let w(g) = -4*x(g) - 5*z(g). Calculate the smallest common multiple of 22 and w(14).\nAnswer: 17358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7268, 14450, 21622, 28778, 35912, 43018, 50090?\n\"Answer: -q**3 + q**2 + 7186*q + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxmix. What is prob of picking 1 i and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o + 130560 = 2201*o for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 69 = 21*q - 20*q, 0 = 4*q + k - 241. Solve q = -25*x - 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdhfqppddddd. Give prob of picking 1 q and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13 (b) 965 (c) 0.1 (d) 0 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*k = 4, -w + 2 - 4 = 2*k. Let h(u) = u - u**3 + 7*u - w*u + 5 + 5*u**2. Is h(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -14.5. Which is the closest to 0.1? (a) -2\/15 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133\/5 >= 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58999*c**2*r**3 + 2*c**2*r + 154*c**2 - 71*c*r**3 - 2*c*r**2 - 1689*c + 2*r**3 - 28 wrt r.\nAnswer: 353994*c**2 - 426*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*c**2 + 3*c - 3*c + 449*c**2 + 226*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 525 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 153026512 divided by 4\nAnswer: 38256628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/96*-4*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 r when three letters picked without replacement from rrrerprrrreeprrrrrrr?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102\/(-4335) - 184\/(-595). Factor -w*p**2 + 2*p - 20\/7.\nAnswer: -2*(p - 5)*(p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -1\/4*u**4 - 1\/2*u**3 + 7*u**2 + 0 + 0*u. Differentiate o(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 2549.\nAnswer: -48431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-4 + 4 - 2)*(3*b - 3*b - 2*b**2)*((0 - 2 - 2)*(-6 - 6 - 2) - 2 + 4 - 4).\nAnswer: 432*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -253 - 507. Suppose 3*f - t = -f. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 + c**3)*(-1 - 2 - 8)*(5*c - 4*c + 0*c) in the form x*c**3 + f*c**2 + g + w*c + d*c**4 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**3*x*y + j**2*x - 9*j**2*y - 2*j*x*y - 38 wrt j?\nAnswer: -24*j*x*y + 2*x - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13835 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/20*5115\/1364?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/39 - (777\/(-63) - -12)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 6. Suppose -29 = -2*r - 2*l - i, -4*l + 67 = 5*r. Calculate the least common multiple of 6 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -36.9. Let t = -198 + 1384\/7. Sort t, -2\/3, -2\/5, i in descending order.\nAnswer: i, t, -2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 2. Let j be (t\/(-4))\/((-5)\/(-4)). Let k be 1*-2*(-85)\/(-34). Put k, 0, j in increasing order.\nAnswer: k, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from hrhnanlo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -287\/120 + 9\/40. Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 85*r**2 + 2*r - 16. Let z be a(-4). Let d = 3657 - z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 8 = 5*q, -3*q - 2562*l + 2564*l + 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 1, o: 11, m: 4}. What is prob of sequence ro?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -93, 1, -0.5, 1\/8 in increasing order.\nAnswer: -93, -0.5, 0, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224951290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, t: 8, q: 4}. Give prob of sequence nntq.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2480 + 4961\/2. What is the nearest to h in 3, 0.032, 2?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 316*u**2 - 5*u + 5*u**3 + 316*u**2.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5614 is divided by 223?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**6\/40 + 3*u**5\/20 + 6*u**2. Suppose y(l) = 0. Calculate l.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 7 - 12 - 11.\nAnswer: m - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((16\/5)\/(-2))\/((-72)\/(-540)). Which is the closest to 1\/4? (a) -1\/4 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w + 3*w + 5*w + 16*w**2 in the form u + g*w**2 + h*w and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -64148, -128265, -192382?\n\"Answer: -64117*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8298 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 9*q**2 - q + 12. Let l be n(9). Suppose -2*z - l*f = -38 - 34, 0 = 5*z - 4*f - 134. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 511 + -605.8. Let s = 94.725 + b. Round s to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -933*o**5 + 2024*o.\nAnswer: -18660*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266782 rounded to four decimal places?\nAnswer: 0.0267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 - (836\/(-33))\/19. Put -1, 360, -5, i in descending order.\nAnswer: 360, i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-100)\/(-4))*-4*(-4870)\/(-17532).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*t + 7 = 0, 2*y + 0*t = 5*t + 9. Factor -2*k**y + 29 + 9*k**2 - 4*k - 32.\nAnswer: (k - 1)*(7*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 462 - 459. Solve 5*t + 7 = d*m - 8, 3*t + 9 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1. Let f(s) = -2*s - 4*s + 6*s + 2 + s. Let o(i) = -f(i) - 3*h(i). Determine o(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285666 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(((-6)\/9)\/(-1)). Suppose -f*u = 4*o - 30, 4*u + 15 = 9*u - 5*o. Which is bigger: u or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001100 - -1011010011001001?\nAnswer: 1011110111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.57813 litres?\nAnswer: 578.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}