diff --git "a/data/dm_maths/full_data_2/1057_11255.jsonl" "b/data/dm_maths/full_data_2/1057_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1057_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((u**(2\/3))**(10\/13)\/((u*u\/u**(-1\/2))\/(u*u**4)))**(4\/17) assuming u is positive.\nAnswer: u**(470\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -96, -217, -386, -603, -868, -1181?\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/9 and 2\/4*1335\/(-180).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k + 2*k - 23*k + 8*k + 3*k - 14.\nAnswer: -k - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 11 = -3. Let y = 14 - 8. Let r = y + g. Solve -3*a + r = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let c(w) be the first derivative of 0*w + 0*w**2 - 2 - 2\/3*w**3. Calculate c(r(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354772 is divided by 2628?\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 - 71 = 2*u. Let g = -74 + u. Solve 0 = 2*o - c + 1, -7 = 3*o + g*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b + 3. Let m(z) = -4 + 2*z + 11*z - 1. Let k(u) = -4*m(u) - 9*p(u). What is the units digit of k(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -103. Suppose -q + 2 - o = 4*f, 0 = 3*q - f + 4. Sort q, 9, -1.\nAnswer: q, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-45)\/(-25)))\/(-2)*(-156)\/2665?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Let g(s) = s**2 + s. Let y(v) = v + 3*v - 3*v**3 + 5*v**3 + 6*v**2. Calculate l*g(x) - y(x).\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - b - 5. Let a(y) = 3*y**3 - 2*y**2 + 1. Let p be a(-1). What is the remainder when l(p) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15933*g - 864 + 32958*g + 1729 - 865.\nAnswer: 48891*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 + 2*p**3 - 1 - 43*p.\nAnswer: 2*p**3 - 43*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -94180000 to the nearest one million.\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-3) + (-4)\/6. Suppose u + 4*u - 25 = 0, q*u + 1499975 = m. What is m rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**2. Let t(q) be the third derivative of q**4\/4 + 6*q**2 + 2. Give p(t(g)).\nAnswer: -324*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*x + 2*y + 2*y, 2*y = 4. Suppose 0 = -z - w + 2, z + z = -4*w + 8. Suppose 5*b - 2*v = 23, 4*b + z*b = -2*v + 22. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22731365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3487 - -3489. Let s be 2\/2 + 3 - 1. What is the second smallest value in -0.5, g, 3\/5, s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/35 and -18\/965.\nAnswer: 6755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -40, -77\/6, 36?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.46212 + -52.63.\nAnswer: -37.16788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 2*c**3\/3 - 3*c**2\/2 + 7*c. Let n(s) be the second derivative of 2*s**3\/3 - 2*s**2 - 24*s. What is -4*b(x) + 3*n(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513 and 2431107.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23328.4 + -23328.40141987. What is h rounded to 5 decimal places?\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 398781 + -398778. Let s = 0.11 + -0.025. What is the nearest to 1 in -0.5, b, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166448 divided by -6?\nAnswer: 194408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**(-18))*i)\/(i*i\/i**(-19)))\/(i\/((i**(2\/15)\/i)\/i)*i\/(i*i**2*i)*i) assuming i is positive.\nAnswer: i**(-568\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4536351636.\nAnswer: 2, 3, 7919, 47737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 - 5*k + 35. Let b(r) = 8*r**2 - 4*r + 28. Let d(u) = 5*b(u) - 4*o(u). Let t(s) = 2*s**2. Give d(t(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24022, 23989, 23956, 23923?\nAnswer: 23890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 1155 = -p. List the prime factors of p.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 658 and 98?\nAnswer: 4606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y*y**(-4\/5))\/(y**(2\/3)\/(y\/((y\/y**6)\/y)))*(y\/(y**(2\/11)\/y)*y**(-1\/6))\/(y*y*y**(1\/6)*y*(y\/(y**(-1\/4)*y))\/y*y) assuming y is positive.\nAnswer: y**(169\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5410 and 527534510.\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 709028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**2 + 6667247*n - 18434354 wrt n.\nAnswer: -6*n + 6667247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z - 3180*z**2 - 905*z**2 - 4044*z**2 + 11*z.\nAnswer: -8129*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -32645*i**2 - 10*i - 40. Suppose -17*x - 330 = -2*x. Let c be l(x). Round c to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10582521.\nAnswer: 3, 3527507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -114*z + 1. Suppose -7 = -2*p - 5. Let v(g) = -2*g**2 + 3*g - 2. Let w be v(p). Is i(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Suppose 5*z - 6 - 124 = l. Suppose -g + 10 = -j, 3*g - 4*g = -5*j - z. Solve g*m + 5 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 9*m - 8. Let p be s(4). Let n be ((-198)\/(-44))\/((-15)\/p). Which is the biggest value? (a) n (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.364 and 20.7152.\nAnswer: -7.5403328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t = 193 + 175 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.001 - -10.001. Which is the biggest value? (a) -1 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 379 - 365. Calculate the highest common divisor of m and 1204.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 18*n = -5*y + 57, -n + 2*y - 24 = 0. Put -9\/2, 0.3, 4, n in decreasing order.\nAnswer: 4, 0.3, -9\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1\/(3 - (-46)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -256170.6 and -0.044.\nAnswer: 11271.5064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.32 and 1.395.\nAnswer: 1.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h. Suppose 6*q + 233 - 773 = h. Calculate the remainder when 49 is divided by (-2)\/(-9) + 755\/q*2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, g: 3, c: 4, f: 6}. What is prob of sequence fe?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 7 - ((-1 - 4) + 2). Suppose 4*t - 36 - 8 = 0. Is k smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3205, 7286, 11367?\n\"Answer: 4081*a - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 167 - 4*m + 6*m - 2*m - 8*m. Let t be x(20). Solve t*f - 6*f = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 12:15 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*z**5 + 1584*l**2*z**4 + 9*l**2*z - 18*l**2 + 2 wrt z.\nAnswer: 40*l**2*z**3 + 19008*l**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8471 + -76351\/9. Let u = -1577\/126 - l. Does 0 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.01 (c) 1\/2 (d) 0.1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 40. Suppose 164 - v = m. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 20547\nAnswer: 4\/20547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4646*x - 4651*x = 3*r - 13, 5*x + 5 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24 and -0.4.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/(-100))\/(((-18)\/5)\/3). What is the second smallest value in s, 8\/5, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5467, -5465, -5463?\n\"Answer: 2*m - 5469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-645)\/30 + 18)*(1 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 - k**2 - 2. Calculate the smallest common multiple of 8 and y(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110484 and 1584.\nAnswer: 441936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14735.15 - -14735. What is the closest to -9 in -0.1, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.486 - -0.286. Which is the biggest value? (a) l (b) -31\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + -18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 n when three letters picked without replacement from ppnxxnnpnxpnnnnx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1103*g**2 - 2304*g + 28. Give t(-2).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (5 - 584\/48).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h - h + 3*h to the form z*h + u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmllmmmlmmmmmmmmm. What is prob of picking 3 m and 1 l?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/2)*p)**22)**38 assuming p is positive.\nAnswer: p**1254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30190 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*s = -2*c + 233*s + 119174, 5*s + 59608 = c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/4*(-41 - -39). Solve 0 = -5*h - r - 4, 4*h = -h + u*r + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19031817 is divided by 27865?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 + -89?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**3 + 4*q**2 - 2*q + 3. Determine o(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9550, -19116, -28690, -38278, -47886, -57520, -67186?\nAnswer: -76890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 22*v - 122. What is s(7)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/11 - -1 - (-90)\/110. What is the closest to -3\/10 in -5, 2\/11, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/7 - 112287372*n\/7 - 112287374\/7 = 0.\nAnswer: -1, 56143687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053701629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 87 = 2*p. Let b = p + 110. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 20. Suppose -l - 3*t - 14 = -n*l, 3*l - 4*t - 14 = 0. What is the third derivative of 0*o**5 + 3*o**l - 4*o**2 - o**5 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241\/5 or -2\/5075?\nAnswer: -2\/5075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30283139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - 7.1. Which is the third biggest value? (a) v (b) -1\/4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**4\/4 + 6*n**3 + 2*n**2 + 25*n - 11. Is z(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5898 or -5900?\nAnswer: -5898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232 (base 4) in base 5?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.734 + -113.1?\nAnswer: -212.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 20, 3, -382, -1\/32?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 28*n**4 - 4*n + 24*n**4 - 53*n**4. Give b(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2. Let u(l) be the third derivative of l**4\/24 + 46*l**3\/3 + 29*l**2 + 2. Determine u(m(f)).\nAnswer: 2*f**2 + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4407*s + 4384*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - x**2 + 6. Calculate the remainder when 9 is divided by r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwc when three letters picked without replacement from ciiyncwq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85794 is divided by 85575?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23283375 and 2676250?\nAnswer: 232833750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5329 + -5364. Let m(h) = -2*h**2 + 5*h - 7. Let g be m(5). Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -888 or -875?\nAnswer: -888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4943037 divided by 449367.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4745, 9491, 14237, 18983, 23729?\n\"Answer: 4746*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -6, -4*q - 4*h + 0*h = 0. Is (-6 + q)*-1299 + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095518 greater than 1095519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/462 and -85\/98?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 647 - 640 - (2 + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4*s**(-2\/5)*s)\/(s\/((s*s*s\/(s*s**(-2\/13)))\/s*s*s)*s*s**9))**(3\/37) assuming s is positive.\nAnswer: s**(-633\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*h = -107 + 170 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*y - 4 + 82, 50 = 3*y + 5*p. Solve -4*m = 20, 5*m - 4*m - y = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0494466 rounded to four decimal places?\nAnswer: -0.0494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i - 33. What is the remainder when 129 is divided by h(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11836*v**2 - 12135*v wrt v?\nAnswer: 23672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**4 - 5*m**3. Let q(c) = c + 2*c + c**3 - 2*c. Let j(o) = -5*q(o) - x(o). What is the second derivative of j(u) wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hupqhqh. What is prob of sequence qhh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/80*5)\/(((-9)\/(-48))\/(-1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003194592 to 6 decimal places.\nAnswer: -0.000319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let t = -8 + 10. Let b be t\/4*(2 + -4). Let a(m) = -m. Let c(q) = 2*q. Let v(j) = b*c(j) + a(j). Determine v(x(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + t - 48 = 0. List the prime factors of (-6)\/(-24) - (-134)\/t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 0. Suppose -67 - 29 = -12*n. What is the least common multiple of m and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 7657*f\/4 - 7655\/2.\nAnswer: -(f - 7655)*(f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 3) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/6*45\/(-25). Let j be 15\/(3\/10*5). Solve j*z - p*z - 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 464380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -17880*(-5 - 1112\/(-216)). Let x = 1334791\/504 + m. What is the common denominator of 95\/72 and x?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11211 - 10?\nAnswer: -11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-18)*(-2703)\/(-595) - 5?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -110?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 2*c + 54, -17*c + 44*c = -7*u + 28*c - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/19))\/(o\/o**(1\/4)))\/((o\/(o\/o**(-2\/11)))\/(o**(-1)*o)) assuming o is positive.\nAnswer: o**(273\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4 + 6596*r**3 - 2722496*r**2 + 2715904*r = 0. Calculate r.\nAnswer: 0, 1, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 137656423 and 137656423 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 + 3432212*i\/5 - 3432214\/5.\nAnswer: 2*(i - 1)*(i + 1716107)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 124\/(-2) - 0. Suppose -2*b = -4*b + r. Suppose 4*i = i + 144. What is the greatest common divisor of b and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*t + 136*t - 17*t - 119 wrt t.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49060?\nAnswer: 2, 5, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-81)\/(-15) - 4\/10. Solve k*l + 1 = 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -707\/6. What is the second smallest value in -4, 2, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 58. Let d = -132.1336 - -133.1. Let h = d - t. What is h rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -327.287 - -327.4. Which is bigger: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1297 + 9\/(9\/3). Let y = p - 593. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411995605 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 292\/(-8) - (-1)\/2. Let s be (q\/(-30))\/(6\/20). Let g be (s\/(-24))\/((-3)\/(-4)). Which is the second smallest value? (a) 3 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0348923 days?\nAnswer: 3014.69472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001218783672 to six dps.\nAnswer: -0.001219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w - 90. Let f be o(13). Let q = -240 - -135. Let l = f - q. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Let m be 0 - (1 + d)\/(-3). Let l be (-2)\/((-9)\/(-15) - m). Let u(h) = h - 5. Give u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 26*a + 50. Let u be p(24). What is the third derivative of 3*f**6 - 13*f**5 - 4*f**6 + 90*f**u - 58*f**2 wrt f?\nAnswer: -120*f**3 - 780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 6*k + 3*k + 12*k**2.\nAnswer: 12*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19075165 divided by 103109?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 169 = -b - b, 4*j = 2*b + 228. List the prime factors of j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 139392 and 34848.\nAnswer: 139392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 7 - (-3 + 6 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 896.7814ng in micrograms?\nAnswer: 0.8967814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -99, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 2*u**6\/105 - 23*u**5\/35 + 80*u**4\/21 - 152*u**3\/21 + 7*u - 2. Factor o(x).\nAnswer: 4*x*(x - 19)*(x - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 - 3)*(4 - 7 - 17) + (5 - 3 - 4)*(-5 + 2 + 2))*(4*f - 2*f + 0*f) - 6 - 3 + 19*f - 20*f as z*f + q and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v - 116074 = -18154. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:32 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-43))**46\/((w\/(w**(-1)\/w))**(-4\/23)*(w**1*w)**11) assuming w is positive.\nAnswer: w**(45000\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(25\/6) - 3\/15. Suppose 4*z - 5 = -25, 0 = 2*n - 2*z - 14. Calculate the highest common divisor of t and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68812 (base 9) to base 8.\nAnswer: 131441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7239896 from 7.\nAnswer: 7239903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689250 rounded to the nearest one hundred thousand?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 9*c + 11. Let m be n(8). What is the nearest to -1 in -1\/7, 0.3, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -2*u**3\/9 - 650*u**2\/3 - 211250*u\/3 + 167. Factor a(x).\nAnswer: -2*(x + 325)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 264 = -4*d. Let n = 2246\/17 - d. What is the third biggest value in n, -2\/13, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-372)\/(-124)*(-3)\/((-117)\/(-2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 1, 0 = s + 5*l + 5. Suppose -s*a - 123 = -2*o, o - 88 = a - 31. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67418746 and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*t = -66, 0 = -11*f + 3*t + t - 21 + 91 + 50 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 11 + 11 - 368*m + 292*m.\nAnswer: -4*m*(m + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + (8 - (17 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48141 + -11890772\/247. What is the common denominator of 39\/10 and o?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 7 - 3. Let l(o) = o**3 - 10*o**2 - o + 20. Calculate the smallest common multiple of 11 and l(t).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101192 is divided by 1806?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20228*g + 20878*g - 32500 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*-0.01.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -121202303130 (base 4) to base 12\nAnswer: -22ab110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 5:28 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 + 5*f**4\/12 + 25*f**3\/6 - 3*f**2\/2 + 653*f. Calculate n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - -4.3. Let u = 4.944 - -0.056. Let m = u - x. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 4*w - 4. Let l be k(3). Let y be (-1 - -1*9) + l. Let d be 5 - y - (-2 + -3). Let b(x) = -x**2 + x + 2. Determine b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/4 - 170\/(-40). Solve -s + 0*i - p*i + 1 = 0, 5*i = 3*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Let y(k) = 2355*k. Determine y(d(i)).\nAnswer: 2355*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:52 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t + 2. Let v be k(-3). Suppose q - v = -q. What is the third derivative of 0*w**2 - q*w**2 + 5*w**5 - w**5 wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5276 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.2 (c) -1\/41100187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, -0.281, -1\/10, 13, -2, 0.001?\nAnswer: -0.281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = -2*j + 68, -3*j + r - 38 = -19*r for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 420 + 52 = 0. Let g be (-15)\/(-10)*l\/(-6). Suppose -22*a - 48 = -17*a - 17*a. Sort a, g, -2 in decreasing order.\nAnswer: a, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387748 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 3. Let i be g(-3). Let z = -1.42 - -1.92. Let q = 159 - 159.4. Which is the closest to 1? (a) z (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.238*0.378\nAnswer: 0.089964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 133*h**3 + 24*h**2 - 19*h - 36. Let a(q) = -83*q**3 - 16*q**2 + 13*q + 24. Let b(w) = -8*a(w) - 5*v(w). Calculate b(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46, 80, 154, 280, 470?\n\"Answer: 2*a**3 + 8*a**2 - 4*a + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1322, 1229, 1136, 1043, 950?\n\"Answer: -93*i + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2085010628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112*f**2 - 3410056*f - 134202242 wrt f?\nAnswer: 224*f - 3410056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 6, 0.5, 4\/761 in descending order.\nAnswer: 6, 0.5, 2\/15, 4\/761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*s - 1582 = 0. What are the prime factors of s?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*(-80)\/(-30). Let s(c) be the second derivative of 1\/42*c**i + 0 - c + 1\/7*c**2 + 2\/21*c**3. Factor s(q).\nAnswer: 2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193.01*-2.\nAnswer: -386.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1. Let f(t) = t**2 + 24. Let q(z) = -f(z) + r(z). Let d(n) = 6*n**2 - 18*n**2 + 14*n**2. Give d(q(h)).\nAnswer: 2*h**4 + 100*h**2 + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 1, k + 4*r = 3*k - 70. Let a = k - 21. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 5*o + 16, 61*v - 60*v - 4*o - 11 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffyf when four letters picked without replacement from {r: 2, e: 1, f: 3, y: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -20415*b**3 + 39983*b**2 + 1621*b + 3. Let y(v) = -10207*v**3 + 19992*v**2 + 810*v + 2. Let w(a) = -6*x(a) + 13*y(a). Solve w(n) = 0.\nAnswer: -2\/101, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 154fe2f - -4?\nAnswer: 154fe33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6000 = 4*p - 16397, 3*u = -p - 13428. Let h = 8286 + u. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 4*v, 2*l - 4*l + 2 = -3*v. Suppose 5*b = -6*r + 12, -3*r + 5*b + 6 = -0*b. Solve 4*d + 5 = 5*z, r*d + l = z + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from leelllllleee?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1514716 (base 8) to base 9\nAnswer: 728355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f**6)\/(f*((f\/(f**(2\/5)*f))\/f)\/f)**(-3\/7) assuming f is positive.\nAnswer: f**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 27378.\nAnswer: 27377.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2\/3, 209597, -7, 3?\nAnswer: 209597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -18. Let y(c) = 26*c - 12. Let u be y(2). Calculate the greatest common factor of u and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 181 = -219. Suppose -u = -4*c - 5*x, -5*c - 7*x = -4*x - 28. Let o(i) = 2 + i + 2 - 5. Calculate o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/30 + k**4\/9 + k. Factor u(g).\nAnswer: 2*g**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 0.1, 2.9 in decreasing order.\nAnswer: 2.9, 0.1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - b - 288, -6*h + 4*b = -3*h + 303. Let f(v) = 145*v**3 - 2*v**2 + 4*v - 2. Let g be f(1). Let q = h + g. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, i: 1, r: 2, y: 3, c: 1}. What is prob of picking 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 0 + 0 + (3*y + 0 + 0)*(10*y + 2981 - 2981))*(y**2 + 5*y**2 - 3*y**2) as o*y**2 + p*y + t*y**3 + h + d*y**4 and give d.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n - 5*n**2 + 4*n + (-57 - 4*n + 57)*(7*n - n - 3*n)*(-1 + 5 - 3).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b**3 + 2*b**2 + 2. Give l(-2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-68) - ((-138)\/(-17) + -8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 315, 1355, 2355, 3315, 4235, 5115?\n\"Answer: -20*b**2 + 1100*b - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 s when three letters picked without replacement from dfsnhsa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/495 (b) -4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**0*f)**(7\/13)\/(f**(-4)\/f**2))**(23\/4) assuming f is positive.\nAnswer: f**(529\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10305, -10371, -10437, -10503, -10569?\nAnswer: -10635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4383 = 3*z - u, -5*u = 4*z - 5889. Suppose -3*x + 2*s = -x - z, -4*x + 2938 = -s. What are the prime factors of x?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 21*r - 84 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 359*t**2 - 43*t**3 - 359*t**2 + 2*t**2 + t**3 - 2*t**2 + (-5*t**3 + 2*t**3 + 2*t**3)*(-2 + 2 - 1) to the form l*t**2 + x*t + o + g*t**3 and give g.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -608146\/771 at most -789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1647 + -3697\/2. Let t = u - -197. What is the common denominator of (-174)\/(-4) + -1 + 0 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110000 - -11100?\nAnswer: 121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-47178)\/(-4) + (-9)\/(-6). What is t rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:32 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + -1)*5 + -2 + -4 + (5*(-1*sqrt(1053) + sqrt(1053)) - (sqrt(1053) + -1 + 0)))**2.\nAnswer: -720*sqrt(13) + 16948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z - 44. Let y be r(-10). Suppose -12*j - y = -15*j. Let o = -4 - -3. Sort o, j, 7 in decreasing order.\nAnswer: 7, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 2.48007099.\nAnswer: -1.240035495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28546 < 28542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, and 2 v when four letters picked without replacement from {z: 5, s: 8, j: 1, v: 2, k: 3, e: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3750)\/(-55) + (-6)\/33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-3)\/2 - 0)*(-2783)\/5566. What is the nearest to -12 in -4, w, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 128 = -2*q. Let k = 137 - q. Calculate the least common multiple of 1 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-26)\/(-39) - 11 - ((-239)\/81)\/(-1)\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -73329, -146664, -219997, -293328, -366657, -439984?\n\"Answer: q**2 - 73338*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122539625*t**3 - 4120351 with respect to t.\nAnswer: -367618875*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Let f(b) be the second derivative of -b**5\/60 + b**4\/6 + b**3\/3 - b**2\/2 - 2*b. Let x(a) be the first derivative of f(a). Determine x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 211490 and 211879 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)*a**(-2\/37) assuming a is positive.\nAnswer: a**(-298\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**2 + 3*j + 2. Determine u(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 6*s + 4. Let p be x(-6). Let k be p\/(-6)*15\/(-2). Suppose 16 = k*v - d, -v = -3*d + 1 + 7. Which is the biggest value? (a) -4 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1200*y = -1208*y - 40. Suppose v + 3*v = 8. Suppose 0 = -4*q + w - 6 + 1, -4*q - 5*w - 23 = 0. What is the closest to q in v, y, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/7)\/l)**(7\/4))**(20\/11))**(-3) assuming l is positive.\nAnswer: l**(135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 39. Let m(i) = i**3 + 5*i**2 + 5*i. Let h(o) = o**3 + 4*o**2 + 4*o. Calculate k*h(d) + 4*m(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3477870497.\nAnswer: 3477870497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 + -103.9. Which is the nearest to w? (a) -2\/7 (b) 1\/5 (c) -1\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 124*a + 5371. Let j be h(158). Is j less than or equal to 2\/36039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 45 = -3*u, 2*u + 2*p + 2*p = 38. Let z = -5 + 7. Suppose h = -z + 4. Solve 2*r + h*y + 3 = u, 0 = -r + 5*y - 26 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 79 - 142 + 34 + 30. Let b(o) = -10*o**2 - 5. What is -10*a(m) - 2*b(m)?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/48 + 65*v**3\/4 + 38025*v**2\/8 - 369*v. Let l(c) = 0. Calculate c.\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 9 = -29. Suppose 5*k + 10 = -2*h + 1, -3*h = -2*k + u. Sort k, 0, -3 in decreasing order.\nAnswer: 0, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 138924.\nAnswer: 25\/69462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6478*g**4 - 233512*g**3 + 747014*g**2 + 36720*g - 3744 = 0. What is g?\nAnswer: -39, -4\/41, 4\/79, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 179611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67523 is divided by 67521.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u + 3. Let a be w(-2). Does 4 divide (a + -1)\/(36\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10308 from 4002.\nAnswer: -6306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235.456145 milliseconds in weeks?\nAnswer: 0.0000020427515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 47*f - 848. What is the thousands digit of z(93)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 536.5812ug?\nAnswer: 536581.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6\/72 - i**4\/4 + i**3\/3 + 3. Let j(m) be the third derivative of r(m). What is the derivative of j(o) wrt o?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 4*h**2 - 3*h + 6. Let z be t(4). Let b be (0 - -1)\/(-3)*z. Suppose -3*q = b*a - 11, -2*a + 7 = q - 2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241682213 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4498622 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 9*p - 4. Let s be j(-7). Suppose -7*y + 2*y + s = 0. Suppose y*o + 2*o = 16. Solve -3*a = w + o, 0 = -a - 3*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10286197 is divided by 129.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 724.7922 and 20.794?\nAnswer: 703.9982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16701532?\nAnswer: 2, 19, 219757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -30. Let f(d) = -13*d + 1. What is f(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 + 101. Suppose 2*k = -3*a + 2, 3*k + y = a + 4. Suppose 2*i + a*x = -4*x + 166, -x = 3. List the prime factors of i.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2111*y - 1. Let o(a) = 146*a**2 + 23*a - 23. Let x(n) = 38*n**2 + 6*n - 6. Let t(h) = -6*o(h) + 23*x(h). Calculate m(t(k)).\nAnswer: 4222*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7541404344218 and 24.\nAnswer: -7541404344194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2. Let w(u) = -8*u + 5. Let r(z) = 22*z - 6. Let k be r(5). Let s(t) = 169*t - 104. Let n(i) = k*w(i) + 5*s(i). Calculate a(n(c)).\nAnswer: -338*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047629 rounded to 4 dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 18 = 4*z - 4*v + 3, 11*z - v + 120 = 147 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:43 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -46) + (25 - 13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.86015 millilitres to litres.\nAnswer: 0.05186015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8395948 divided by -220946\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2348 - -0.2652. Put -9, 1, -2\/5, p in descending order.\nAnswer: 1, p, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 6 - 2)*(q + q - 6*q) + (2 + 4 - 4)*(q - 4*q + 4*q))*(0*q + q + q).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19207*x**3 + 1309*x**2 - 8928*x**2 + x**4 - 19209*x**3 - 681*x**5 wrt x.\nAnswer: -40860*x**2 + 24*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 18*n + 3. Let m = 16 + -28. Let v = m + 14. What is the remainder when n is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66\/110*(-5 - (-172)\/36). What is the fourth biggest value in -339, -3, 1\/3, d, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 8. Let c be (1 - h)\/(-3) - 4. Let r be (12 + c)\/(-1 + 3). Solve -r*g - 2 = 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (6 - 2 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/470 - 2699\/5170. Which is the nearest to 1? (a) -181 (b) 1\/2 (c) -3\/5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 483 = 5*z - 0*k, -k = -4*z - 376. Let a = -763\/8 - z. Put -2\/13, a, 3\/4 in increasing order.\nAnswer: a, -2\/13, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*f**6*z + 46*f**2*z + 2*f*z wrt f?\nAnswer: 14400*f**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8220 by 2740.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11714291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + r + 0)*(-2*r**3 + 2*r**3 - 3*r**3)*(0 + 4 - 5).\nAnswer: 3*r**4 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 621 = -33*u, 0 = 5*u + 2*d + 27 - 128 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, b: 1}. Give prob of sequence boo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b2 (base 12) in base 7?\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 294 or 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34435939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 206*r - 6817. What is j(29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*n - 30, -y + 1 = -4. Suppose -2*r + 4 = n*j, -3 = 3*j + 3*r - 12. What is the closest to 0.1 in 1, j, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -464, -3, -0.401147?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/20 - 2*u**4\/3 + 4*u**3\/3 - u**2\/2 + 6*u. Let x be y(7). Solve 3*p + 0 = x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94.84 - -97. Let q = -2.6 + r. Let x = q + -0.06. Which is the third smallest value? (a) x (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1172 (b) 74 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x - 4 = 0, 0 = -3*w + 5*x - 16. Let y(h) = -h**3 + 8*h**2 - 5*h + 2. Let a be y(5). Suppose -108 = -a*g - 888. Which is greater: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + f)*(-2*f - f + 10*f + 3 - 3 + 2*f + (0*f + f + f)*(3 - 2 + 0)).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2078\/518 + -4)\/((-790)\/553 - (-32)\/14).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141686463 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 12 = 2*w + 8, -2*x - 3*w = 23 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -1) + (-37 - -50) - (-2 + 30 + 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 667172064172.\nAnswer: 667172064172.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r - 33 + 2\/3*r**3 + 0*r**2 + 32*r**5 + 0*r**4. What is the third derivative of l(y) wrt y?\nAnswer: 3840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4252 and 244454921?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -30, -17, -6, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.35612 days to nanoseconds.\nAnswer: 5992368768000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:33 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (-108)\/(-30))\/(2\/60). Let w = p + -17. Is (-37472)\/(-80) - 3\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -21*(7 + (-180)\/27). Which is the smallest value? (a) 4\/3 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -49.7. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 - 2*y**2 + y + 2. Suppose -d - 17*i = -15*i - 12, 0 = -5*d + 5*i - 15. Determine w(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:45 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1069, -137, 3.\nAnswer: -1069, -137, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4034 (base 6) to base 9.\nAnswer: -1184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 353 + -1055\/3. Which is the fourth biggest value? (a) 1\/7 (b) 0.3 (c) 4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 73?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.15 (b) -1 (c) -0.252 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 65 + 125 = 0. Calculate the greatest common divisor of q and 190.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Suppose 2*b - 70 = -t*b. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d**(2\/5)*d)\/d*d*d)*d))\/(d\/d**1)*((d*d**(-3))\/d)\/(d*d**(-7)*d*d)*(d**(3\/7)*d**8*d)\/(d**4\/d*d*d**(-7)) assuming d is positive.\nAnswer: d**(519\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -158*(-3)\/6 - 2. Suppose 0 = -3*p + 5 + 16. Calculate the greatest common factor of h and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Let r be (d\/(2 - 5))\/1. Sort r, -2, 8 in increasing order.\nAnswer: -2, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from fjpphyppyp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 511 - 508. Suppose 4*g - 122810 = -5*o, a*o + 61394 = -59*g + 61*g. What is g rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0.2, 2\/29, 17, 1\/77 in descending order.\nAnswer: 17, 0.2, 2\/29, 1\/77, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 76 - 14 = 0. Suppose q*h - 5048 + 968 = 0. Let u be 2*-3*(h\/6)\/(-4). Round u to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 198088968 and 198088964 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f - 6 = 2*g, 15 = 5*f - 5*g. Suppose -4*l - 28 = -3*j, -3*l + 5*j = -f*l + 21. Let z(n) = -n**3 - 7*n**2 - 7. What is z(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/11, 4, -2\/3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i - 16 = 0. Let a be 0*(-2 + 3)\/2. Solve i*j + 0*j + 16 = a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**9)**(-50) assuming a is positive.\nAnswer: a**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33987, -69063, -104139?\n\"Answer: -35076*f + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-70)*518\/(-333))\/(-4))\/(-1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**2 - 50*u - 24. Let l(q) = 2*q**2 + 16*q + 8. Let k(h) = -10*l(h) - 3*p(h). Factor k(o).\nAnswer: -2*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6741 = 2*u + 2*u - 6733 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:52 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/16 + (-216)\/48.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -3. Let f be 0\/(-10)*2\/j. Solve 2*a - 3*a + 4 = f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6436 + 44 = -59*u - 211*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 8306?\nAnswer: -99\/8306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0*o = 2*o - 6, -8 = -4*l + 2*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8124?\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**4 - 8*j**3\/3 - 2. Find the third derivative of f(a) wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205250 (base 6) in base 5?\nAnswer: 4012030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 6*c**2 - 7*c - 2. Let k = 11 - 6. Suppose k*a = 7*a - 36. Suppose 2*i - a = 4*b, -15 = -i - 0*b + 5*b. What is v(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:23 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 4834*x - 53598. Give n(-11).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + 1 + -2 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-6*22\/(-495)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*h = -3*h - 97, 54 = 2*v - 5*h. Let g = v + -16. Which is the nearest to 0.1? (a) g (b) 3\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcybd. Give prob of sequence kc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - ((-55)\/15 + (-1)\/3). Let z(c) = 7*c**2 + 3*c - 1. Let i(u) = u**2 + u. Give f*z(t) - 2*i(t).\nAnswer: 5*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2577?\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i - 204 = 0. Let c = i + 70. Is c greater than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.232369 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + j + 9. Let l be z(0). Suppose -l = 3*c - 24. Factor 0*b**2 + 0*b - 1\/2*b**4 - b**3 + 0 + 1\/2*b**c.\nAnswer: b**3*(b - 2)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**3 + 13*t**2 - 169*t + 13. What is the remainder when j(8) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1081 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 849, 1350, 1899, 2496?\nAnswer: 3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.4191nm in centimeters?\nAnswer: 0.00005074191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 10 = -z - 5, 2*z = 5*v + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820571271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -7*k**3\/2 + 2*k. Let u = 19 + -13. Let n(p) = u*p - 5*p + 2*p. Give 15*n(y) + 2*s(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8*(-7 - -27). Suppose 0 = -c*b + b + 196. Let t = -49 + b. Which is bigger: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 1710.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 22920*z + 47. Is s(1) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.944 - 23. Let k = 878249 - 878248.9440037. Let l = x + k. Round l to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j. Let b(v) = 2*v**2 - 82*v + 230. Let f be b(3). Let p(k) = -5*k + 1. Give f*y(x) + 3*p(x).\nAnswer: -3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = 4*f - 3*t + 241, 0 = 3*f - t + 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/2 (b) 17 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14 - (7 + 1572\/(-72)). What is the third smallest value in -4, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 - (-44 + 54).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let r(v) = -133*v. Give r(g(m)).\nAnswer: -266*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 25. Let y be g(-11). Let j be 10\/35 - 18\/y. Does 16 divide j\/(-4 - 693\/(-174))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2061 - 1108. Let h = c + -1001.7. Round h to zero decimal places.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = -2*f + f. Suppose -f - 334 = -5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0456 - 6.1444. Round t to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2966433?\nAnswer: 3, 379, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75875*n**2 - 83380*n.\nAnswer: -151750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 3*w - 4. Let m be l(-4). Let j(b) = -2*b - 12. Let p be j(m). Solve 2 = -3*u + p*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980329333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 16*i**2 - 12*i**2)*(i - 22*i + 2*i) + 2*i**3 - 5*i**3 + 5*i**3.\nAnswer: 439*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from cqqqcqq.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76663.69 decades to years.\nAnswer: 766636.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 15 (b) -2 (c) -2\/13 (d) 45\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 34. Let o = -56.34 - -1.34. Let h = 59 + o. Which is the closest to -0.1? (a) z (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11598 + 11639. Is 593\/14 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miim when four letters picked without replacement from zmbimqzbbbiqmmqqb.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 5 (c) -32 (d) 8 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (14 - (12 - 13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010 (base 7) in base 13?\nAnswer: -821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/6 + 143*y**2\/6 - 195*y\/2 + 147\/2.\nAnswer: (y - 3)*(y - 1)*(y + 147)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7*m + 8 = 0. Let h be ((-2716)\/16)\/(-7) - 3\/m. Solve -5*b - 5*v - h = 0, 4*v = -3*b - 9 - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46926198 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370342.1mm to nanometers.\nAnswer: 370342100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3248532, -6497020, -9745500, -12993966, -16242412, -19490832, -22739220?\n\"Answer: i**3 - 2*i**2 - 3248489*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/(-8) - (-3)\/(-6). What is the second derivative of -28*m + p*m + 23*m**2 - m wrt m?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4*2\/(-8) - 5) + 6. Solve -3*w - 5 = t, -m*t + 5*t = 3*w + 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - j = 6, -5*u + 2 = -3*j - 5. Let p be 4 + -1 + 2 - u. Let m(z) = -z**2 + 8*z - 9. Let t be m(p). Solve 3*c + t = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.22, 54, -1\/35, 0?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 14 = 6*b - 8*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**4\/12 + 2*h**2 - 4*h. Let t be i(0). Solve 12 = -t*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 25. Suppose -2*a + m = -38, 4*a - 119 + l = -4*m. Calculate the remainder when 56 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s**2 + 722021950*s - 131276720 = 0. What is s?\nAnswer: -13127672, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrr. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -17*z + 11. Let d be q(0). Let v(o) = 5*o - 3. Let u be v(2). Let n = u + d. What is the greatest common factor of 198 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(4))\/sqrt(2) + 0 + -4 + 6*(sqrt(5)*-2 - sqrt(5)).\nAnswer: -17*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpn when three letters picked without replacement from {p: 2, n: 7, j: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**7\/189 - d**6\/135 + d**5\/45 - 7*d. Factor s(i).\nAnswer: -2*i**3*(i - 1)*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n**2 - 2*n - 2. Let w be m(0). Let l = -5 - w. Let c(h) = h**3 + 3*h**2 + 4*h + 2. Determine c(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*j**2 - 4872*j + 1952.\nAnswer: -4*(j + 244)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + (-2 - (3 - 6 - -5)). Suppose -s - 108 = -y + 5*q, 5*y = -q + 466. What is the remainder when y is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.11 (b) -1\/3 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d + 108. Let m be h(-18). Suppose m = 17*p - 12*p - 1840. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/7*4*105\/120*6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 3*p**2 + 5. Let q(r) = 6*r**3 + 41*r**2 - 116*r + 145. Let a(b) = -5*i(b) + q(b). Determine v so that a(v) = 0.\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16341 and 49023?\nAnswer: 49023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 177*u\/4 - 8487\/2.\nAnswer: (u - 69)*(u + 246)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-2))\/(3\/11631) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -5*f + 16, -2*f + 4 = -4*z. Suppose f*j = -8, 3*a = 4*j - 4 + 113. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + ((3 + sqrt(363))*-5 - sqrt(363)))**2 + 5.\nAnswer: 792*sqrt(3) + 13109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 4154*y - 45797. What is g(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 511.174ml?\nAnswer: 0.511174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-42)*75 - 3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + -0.3. What is the nearest to c in 1, -5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*f - 151*f + 7 + 79*f as n*f + k and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -78, 2\/7, 0.1, -2, -0.5?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/70*40\/(-1080)*225.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40395530, 161582115, 363559756, 646328453?\n\"Answer: 40395528*t**2 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 50. Suppose -3*d + t*d = 3*s - 67, 3 = 3*s. Suppose 0 = 5*c - 356 - d. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:28 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6280524311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181*c**2 - 739*c wrt c?\nAnswer: -362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -255*f - 255. Let n be u(-1). Let s be 14\/35 - 26\/(-10). Which is the nearest to 7? (a) n (b) 6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*(-1 - -1). Suppose l = -2*t + 10, 5*f - 5 = t - 0*t. Solve 3*m + 2*d = 5, f*m + 2 = -0*d + 4*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m - 4*m + 2*m to the form g*m + h and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3701 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.366161l in millilitres?\nAnswer: 5366.161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)\/(1 - -1). Let h be ((10\/45)\/1)\/(((-18)\/3)\/(-54)). Suppose 7*g = 3*g - 4. Put h, o, g in decreasing order.\nAnswer: h, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from {y: 1, k: 7, l: 10}.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b*b*b**(-10)\/b)\/(b*b*b**(-8)*b*b\/b**(2\/3)))**(-3) assuming b is positive.\nAnswer: b**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1686507763 + 4?\nAnswer: -1686507758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 4:33 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 504 * 142483.\nAnswer: 71811432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9635 and 33702.\nAnswer: 7919970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430 = 5*w + 7*u - 8*u, w + 105 = 4*u. Put -7, w, 3 in descending order.\nAnswer: 3, -7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*1\/(-1)*0. Suppose -v - v - 10 = -2*w, -2 = 2*w + 2*v. Solve -3*s = w*u - 5, 5*s + 2*u + 0 - 7 = d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179953066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -13322, -5 in descending order.\nAnswer: 3, 2, -5, -13322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0245 and 97.\nAnswer: 2.3765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 + 0.1. Let f = -7 + 7.06. Let h = -0.16 + f. Which is the closest to h? (a) i (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2412 (base 8) to base 10\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*45\/(-162)*-9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkyk when four letters picked without replacement from kkkkykkkkkkks.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 7. Let f = -10 + q. Solve f*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -619 (base 14) in base 5?\nAnswer: -14244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, v: 3, a: 1, t: 2, q: 2}. Give prob of picking 1 t, 1 a, and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 29\/2, -1\/3, -2\/3, 19, -0.2, -204?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -383.137 - -382. Let c = -0.163 + h. What is the third smallest value in -3\/4, c, -2, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23688992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 19*a - 4. Let i be d(2). What is the greatest common factor of i and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c - 3*c**3 - 2*c - 1 - c**3. Let i be j(-2). Suppose -5*q = x - i, 2*x - 11 + 2 = -q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + 19 - 85*f + 23 to k + m*f and give m.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - -0.04611935913.\nAnswer: 11.04611935913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*i**3 - 114*i**2 - 1216*i + 504.\nAnswer: 2*(i - 18)*(i + 7)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -39784 plus 5?\nAnswer: -39779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -625, -4785, -16131, -38257, -74757?\nAnswer: -129225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3705*b**2 + 5749*b**2 - 3796*b**2.\nAnswer: -1752*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -427\nAnswer: 68\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*j**2 - 46066*j + 4*j**3 + 46066*j to the form v*j + y + p*j**2 + t*j**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87671*g**2*k**3*p - g**2*k**2*p**3 + 3*g*k**3*p**3 - 2*g*k**3*p**2 - 4*g*k*p + 151*g*p - 4*k**3 wrt g.\nAnswer: 175342*k**3*p - 2*k**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 105\/(-28) + 3\/4 + 10. Let g(q) = -q**3 + 8*q**2 - q - 24. Calculate the least common multiple of 2 and g(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1949 - -5298. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 2*g + 19 = -5*h, -3*h - 5*g = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2277*k - 8709*k**3 + 2275*k - 463 + 8708*k**3 as v + o*k**2 + q*k**3 + y*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 170881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221 + -343. Let u = 349 + o. Let j = u + -226.9999389. Round j to six decimal places.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007768586 rounded to seven decimal places?\nAnswer: 0.0000777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20496826*f**3 - 85*f**2 + 2958*f + 2.\nAnswer: 122980956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-464)\/(-29) + 6\/((-420)\/1118).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -14, 1, 233 in descending order.\nAnswer: 233, 1, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by 160?\nAnswer: 171\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 795\/11 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = j + 5*f + 28, -f + 2*f = 460*j - 424*j + 31 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 7*i + 63 = 0, -5*u + 78 - 4 = -4*i. Solve -10*r - q = -u*r - 12, -3*q + 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1014\/35 + -6119\/210. What is the closest to -2 in -0.6, 0.13, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4064696 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**3\/5 - 78*q**2\/5 + 153*q\/5 - 360. Find h such that o(h) = 0.\nAnswer: 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13408683 a multiple of 1200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 434000 to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4080002173 to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 37*h + 294. What is o(25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78086125 by -2.\nAnswer: 78086125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3559\/268 - -2\/67. What is the common denominator of -23\/44 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tww when three letters picked without replacement from wbbtyywt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(612))*-6)**2*-5.\nAnswer: -110340 - 2160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31007243569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -702935 - -358497031\/510. Calculate the common denominator of 117\/50 and l.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -62. Sort -2\/9, q, 0.3, 5 in increasing order.\nAnswer: q, -2\/9, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*g - 43*g + 28*g)*(-5 + 3 - 1) - 1 - 4*g + 2*g + 0 - 3*g + 8*g - 23*g to l*g + m and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzv. What is prob of sequence vz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j**3 + 53*j**3 - 4*j**2 - 83*j**3 + 5*j**2.\nAnswer: -4*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 547803.\nAnswer: -164340.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-24)*4*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2*v**3 + 2*l**2*z - 196*l*z - 202*v*z wrt v.\nAnswer: -6*l**2*v**2 - 202*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*p + 246, 0*p - 4*p - 165 = -3*g. What is the remainder when g is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7817.42 and 0.05.\nAnswer: 390.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - 59. Suppose -216 = -42*d + v*d. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8295187 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202 + -2002102121100?\nAnswer: -2002102110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 0.4 (c) -1\/3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*k + 347, -z + 85 = 3*k - 4*k. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 119, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, o: 3, a: 1, u: 3, h: 1}. Give prob of picking 1 u, 1 h, and 2 x.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 232, 350, 468?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 932*c + 0*c**2 - 932*c + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) 5 (c) -1256 (d) -5 (e) -7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s)\/s)**(-2\/19)*s**14\/((s*s\/(s\/(s*s**(-14)))*s)\/s*s) assuming s is positive.\nAnswer: s**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 0 + -1 - 31. Let n = -229\/60 + -17\/20. Find the common denominator of n and (-12)\/(-210)*(-1 - a).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(9\/2))**(5\/8)*i**0*(i\/i**(6\/5)*i*i)\/i)**(3\/4) assuming i is positive.\nAnswer: i**(867\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/((-56)\/(-8)))\/(-13))\/((-2)\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2441312 and -1.1.\nAnswer: -2441313.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 43 - (-79 - -96)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631675171?\nAnswer: 17, 37157363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 = 2*l, -2*l + 5 = -0*l + p. Suppose -2*y - 255 = -l*y. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.59 and -0.00739?\nAnswer: -0.0043601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.645*-3.\nAnswer: -112.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wypp when four letters picked without replacement from wpvxpwppxvpwxvvwvyw?\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(sqrt(95)*1)\/sqrt(5) - (-3*sqrt(19)*1 + (2*sqrt(684))**2 + 4).\nAnswer: -2740 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 385103 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) 181\/11 (c) -1\/7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(180)*1)\/sqrt(4))\/(sqrt(27)\/sqrt(3)*6) + 3 + -1.\nAnswer: sqrt(5)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2489 and -0.05.\nAnswer: -2489.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 11*n**2 + 10*n + 2. Calculate the lowest common multiple of 2\/(-5) + (-171)\/(-15) and c(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 3*t - 3*t)*(-4*t**2 + t**2 + 0*t**2) - t**3 + 3*t**3 - 4*t**3 - t**2 - t**3 + t**2 + (-594 + 85*t + 594)*(3*t - 4*t**2 - 3*t).\nAnswer: -337*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.1, 5, -20\/19, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -250, 3, -1, 21 in ascending order.\nAnswer: -250, -1, 0, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x - 116. What is a(-24)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, u: 6, c: 4, v: 1}. Give prob of picking 1 c and 3 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 6*v**2 - 2*v - 9. Let r(n) = 3*n - 10. What is the lowest common multiple of r(4) and x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Suppose 5 + 0 = -5*r, 5*r - 7 = 3*c. Let k be c\/3*6\/(-4). Let x(j) = -2*j + k - 2 + 0. Calculate s(x(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4 = s, 0*u - 5*u = -37828*s + 37840*s - 48 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**3 + 14*i**2 - 3*i + 3. Let a(d) = -d**3 + d**2 - 1. Let s(y) = -3*a(y) + z(y). Let x = -23 - -32. Is s(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/(0 - (-6)\/60) - -47175 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 12:19 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 42 = 2*b, 5*y + 4*b = 45 + 3. Let t(x) = 2*x**3 + 4*x**2 - 14*x - 1. Let u be t(-4). What is the units digit of -1 + ((-582)\/u - 8\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((55\/(-30))\/11)\/((-2)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = h + 413 - 45, n = 4*h - 61. Let y = 130 + n. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006822 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + 4 + -15 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**4 - 33*m**3 + 19*m**2 - 5*m + 5. Let i(x) = -32*x**3 + 20*x**2 - 4*x + 4. Let f(r) = 4*d(r) - 5*i(r). Factor f(v).\nAnswer: -4*v**2*(v - 6)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -140549, 170, -4 in ascending order.\nAnswer: -140549, -4, -3, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.12 + 0.12. Let j = p - -3. What is the third smallest value in -2, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*g - 28, -c - 29 = -17*g + 14*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90552398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*7\/84)\/(2\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003093417 times -7?\nAnswer: 0.021653919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by 9439\nAnswer: 73\/9439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m - 9. What is the units digit of b(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6308.99 litres?\nAnswer: 6308990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5)**(-14\/5)*(u*u*u\/((u\/(u**(2\/17)\/u))\/u)*u*u)\/u**(-7) assuming u is positive.\nAnswer: u**(-49\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - -20. Suppose 2*f + 0 = 3*m - w, -3*f - 18 = 4*m. Let u be (f\/9)\/(12\/(-18)). Which is the closest to 0.1? (a) u (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5499 (b) 1\/12 (c) 0.01 (d) 7.2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16609489751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + -3*sqrt(17) + (sqrt(17) - (sqrt(1700) + (sqrt(1700) - -2*sqrt(1700))) - (sqrt(17) - -2*sqrt(425))).\nAnswer: -53*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -78, -67, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31964)\/427)\/131*7\/(-1)*255\/12?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 290*p + 170. What are the prime factors of u(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4118692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*w**2 - 1701*w**2 + 321*w**2 + 427*w**2 + 410*w**2.\nAnswer: -149*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*b - 2*q - 3, 5*q = 7*b - 26 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 4*m + 6. Let a(x) = x - 1. Let f(j) = -3*a(j) + r(j). Give f(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -8\/7*j**3 - 1\/7*j + 9\/14*j**2 + 33 + 4\/7*j**4. Solve q(v) = 0 for v.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8256, -8364, -8472?\nAnswer: -8580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1026, 2060, 3094, 4128?\n\"Answer: 1034*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011305732 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f - 6016 = 0. Let i = -917 - f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g + 6 = 0. Let w be (-2 - -5)*(-12)\/(-9). What is the highest common divisor of g and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4736 and 3182444.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 + j**3 - 3 - 3*j**3 + 0*j**2 + 2*j - 11*j**2 + 4*j**2 to the form v*j**3 + d*j + r*j**2 + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 1. Suppose 5*h + 2*h - 28 = 0. Let j(l) = -h + 177*l - 1 - 182*l - 1. What is j(g) - 4*y(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 295696964 a multiple of 1243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/7 (b) 1 (c) 0.09 (d) -14\/23 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*z - 19 = 0, 10*z - 13*z + 81 = -32*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95410224 a multiple of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 3\/4 (c) -642.2 (d) -8 (e) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 + v - 1. Let f = -21 - -22. Let u(y) = -y + 1. Let q(x) = x - 5. Let a be q(6). Let i(s) = a*u(s) + f*c(s). Suppose i(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 33 = 5*v, -14*v + 18 = 19*v - 31*v + 2*j for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6376 + -19?\nAnswer: 635b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/29 in -2, 3\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82198706*z**3 + 2*z**2 + 54099*z - 284?\nAnswer: -493192236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 4*j - j)*(-j**2 + 2*j**2 + 4*j**2 + (0*j - 2*j + 4*j)*(0 + 0 + j)) to k*j**2 + n + o*j + q*j**3 and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by -34.\nAnswer: -180\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 0*l. Calculate the least common multiple of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*u = 286640 - 226340 for u.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-4))\/(t*t**(-3\/2)*t*t))\/((t\/(t\/t**(2\/7)))\/t**(-2)) assuming t is positive.\nAnswer: t**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45155071*u**2 + 67168625*u wrt u.\nAnswer: -90310142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -634 - -26105.49.\nAnswer: 25471.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -99aaa (base 15) to base 13\nAnswer: -141400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + 4 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 5*w - 2. Suppose j = 1 + 4. Let o = j + -26. Let g be (o\/(-6) - 1)*2. What is h(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154.2 <= 24\/85405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 282\/(-24) - (-2)\/(-8). Let z(g) = g + 17. Let c be z(i). What is the remainder when 19 is divided by (-18)\/(-4) - c\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 0.3, -253, -25 in decreasing order.\nAnswer: 0.3, -25, -57, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -7.63?\nAnswer: -38.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015836589 to four decimal places.\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 68 = -72 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.75183239 less than -0.03?\nAnswer: -79.78183239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**2*n**3 + 69*b**2 - 120*b*n**4 - 7 wrt n?\nAnswer: 12*b**2*n**2 - 480*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13574 * -1.4.\nAnswer: -19003.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202013123 + -23?\nAnswer: -202013212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7\/6 (b) 0.1 (c) 0.11 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**2*h*j*k**2 + 5825*d**2*h*j*k + 9*d**2*h*k**2 + d**2*h*k - 4*d**2*h + 2*d*h*k**2 - 21*d*h*k wrt j.\nAnswer: -5*d**2*h*k**2 + 5825*d**2*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = 110 - 44 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782915?\nAnswer: 3, 5, 118861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = -9 + 53 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 549 = -16*x. Let d = x - 103. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/1578 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*((-309)\/824)\/((-6)\/4).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 313122 + 144041?\nAnswer: 1012213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -0.1292, 3 in decreasing order.\nAnswer: 3, -0.1292, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00490765 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9655.\nAnswer: 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/953 in 5, 2\/11, -1, -206?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -963027, -0.5, -2\/9?\nAnswer: -963027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 56676b (base 12) to base 8\nAnswer: 5207303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*v - 182*v - 13384 = 0 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -2) + 140\/(-200)*(-8)\/7. Which is the third smallest value? (a) i (b) 16 (c) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70326 by -2.\nAnswer: -35163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519441.\nAnswer: 3, 13, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.1 and 3.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 4*m + 4*m + 31*m + 3 - 31*m + 4*m**2 + (m**2 - 5*m**2 + 5*m**2)*(-3 + 3 + 1) + m**2 + 1 - 1 to g*m + o + h*m**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/17 + -115\/187. Sort 5, -5, d, 0.1 in increasing order.\nAnswer: -5, d, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 35 + 34 + 10*a**2 - 2*a**2 - 70. Determine w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35238, -35243, -35250, -35259, -35270, -35283, -35298?\nAnswer: -35315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*z - 107, -5*z = -2*v - 29 + 258. What is the highest common factor of v and 4004?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 220 = 2*a. What is the remainder when (-18)\/4*2*-7 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 61 = 2*x. Let z = x - -145. Let u = -26 + z. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*y + 35*y + 36*y + (5 + 2 - 4)*(-5*y + 3*y + 3*y) + 1 - 1 - 2*y)*(8*y**4 + 18*y**4 - 2*y**4).\nAnswer: -144*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302127331 to the power of 1\/2, to the nearest integer?\nAnswer: 17382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -3*c, 0 = p + c - 14. Suppose 0 = -3*r, r + r = -5*k + 90. Calculate the remainder when k is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q - 10. Let m be s(-15). Suppose -t - 4*t = -m. Let x be 40\/(-22) + (t - 11). Which is the nearest to -0.1? (a) x (b) 0.08 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 27*l - 15. Let h(g) = -7*g + 4. Let n(s) = -5*d(s) - 21*h(s). Let k be -1 + (-12)\/(-2) - -1. Is 21 a factor of n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*k - 5 = 0, 2*k + 6 = -4*w - k. Let v = 3 + w. Suppose -2*r = -v*r - 12. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/20 - t**4\/12 - 5*t**3\/6 - 3*t**2\/2 + 5*t. Factor k(v).\nAnswer: (v - 3)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, 0, 6918, -1, -3, -6\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/((-14)\/(-42)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 4*h**2 - 505 + 0*h**2 + h**2 + 6*h.\nAnswer: 2*h**2 + 6*h - 505","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -4*v**2 + 5*v - 1. Let y(m) = -2 - 13*m + 14*m + 2 - 1. Let c be (-28)\/5 + (-4)\/10. What is c*y(d) - r(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3 + 3. Suppose -15 = -s*g + 9. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w*w*w*w**(-1\/3))\/(w**(-1))**(-3\/17) assuming w is positive.\nAnswer: w**(76\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 6*g + 2*g + 13*g + 7 - 7 + (-64 + 64 + 20*g)*(1 + 0 - 4) + (-4*g - g + 6*g)*(0 - 1 + 0) - 3 + 2*g + 3.\nAnswer: -47*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 3. Let v(m) = 7*m + 7. Let r(u) = 4*u + 5. Let b be r(2). Let a = -18 + b. Calculate a*g(i) + 2*v(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 127 - 3*l - 51 - 76. Let d(z) = -257*z**2. Determine d(u(a)).\nAnswer: -2313*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6586 - -6587.8. What is the third smallest value in 5, f, 0.5, -3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*q, -q + 0*o - 18 = -5*o. Let b(n) = 1 + 1 - q + 6*n**2. Let p(x) = 2*x. Calculate p(b(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46301 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Let r = o - -3. Let g(h) = 10*h - 1. Calculate g(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 750, 1933, 3656, 5919?\nAnswer: 8722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2. Let t(z) = -z + 5. Let n(b) = b + 1. Let a(i) = 5*n(i) - t(i). Determine k(a(y)).\nAnswer: 288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274331328 to the nearest integer?\nAnswer: 16563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(1\/10))\/(a\/(a**(-2\/3)*a))*((a\/a**(4\/3))\/a)\/(a**(-3\/5)\/a))**8 assuming a is positive.\nAnswer: a**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 143b38a - 1?\nAnswer: 143b389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12187392.\nAnswer: 2, 3, 7, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or 315282\/2237?\nAnswer: 315282\/2237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2288180 is divided by 103980.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/32157, 1\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 65\/(-26) - (-5 + 1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 2488 = -5*c - 5*l, 0 = 4*l + 20. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170484*z**4 + 1384766*z wrt z?\nAnswer: -2045808*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:29 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -6 - 8 - (10 + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 2 - 11*a**2 + 0*a**3 - 1\/24*a**4 + 0*a. Let z(k) = -88*k + 2. Determine z(s(f)).\nAnswer: 88*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49719*f**3 - 24855*f**3 - 24840*f**3.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**2\/t)*t)\/(t\/(t*t**19*t)))\/(t*t**(1\/3))**(-4\/3) assuming t is positive.\nAnswer: t**(205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3288.000000879 + -3288. What is u rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 times 0.5\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 6 (c) -4 (d) 1 (e) -7753\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 28 = -5*v - 33, -5*d - 2*v = 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*r**4 - 583*a**3 + 2*a**2*r**2 - 21655*a*r**2 - 40676679*r**5 wrt r?\nAnswer: 24*a**3*r - 2440600740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -157500 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25319 is divided by 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -42700, 4 in decreasing order.\nAnswer: 4, -3, -42700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -228648416 = -228648418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 288 = -3*v, 5*v + 8*g - 460 = 3*g. Suppose -5*w + v = 3*j, -3*w = -2*j + 52 + 24. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - ((18 - 32) + 48) - (0 + -2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -45234 > -45234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 9. Let o be -12*(45\/(-12) + 3). Let g be q(o). Solve 3*f - f = g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l + 6*l**2 + 3*l - 2*l + l**3 - 8 + 0*l**3. Is j(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3)*(-3 - 0). Let x = -1802\/15 - -120. Which is the third smallest value? (a) 4 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 7*g**2 + 6*g - 9. Let f(m) = 2*m**3 + 6*m**2 + 5*m - 8. Determine -6*f(z) + 5*x(z).\nAnswer: -2*z**3 - z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbdabdmdbbmbabdmb. What is prob of sequence amam?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 241.2 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 1. Let i(s) = 11*s**2 - 60*s - 835. Let p(o) = o. Let r(g) = i(g) + 2*p(g). Let v(b) = -r(b) + 6*x(b). Factor v(q).\nAnswer: (q + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/148 and 49\/262.\nAnswer: 19388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, 128, 281, 442, 617, 812, 1033, 1286?\n\"Answer: z**3 - 5*z**2 + 159*z - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l = -33*l + 5*l - 29*l. Suppose -2*o + 4*p - 10 = 22, 0 = p + 4. Is o at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b + 1. Let r(v) = 29*v + 6. Let l(p) = -6*n(p) + r(p). Let q(k) = k**2 + 19. Give q(l(w)).\nAnswer: 49*w**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-3)\/(9\/(-2))). What is the second derivative of -4*n + 7*n + n**h - 7*n**3 + n**3 wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154 - 735.34\nAnswer: -889.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10311 and 241899?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*u - 22365 = 58*u. List the prime factors of u.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.1 (c) 2\/197 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 26*x + 29*x - 57*x + 18. Let q(p) = p + 12. Let u be q(-9). Let j(o) = -6*o + 54. Let b(f) = u*j(f) - 10*k(f). Differentiate b(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 4125 = 4*w. Is w equal to 160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 24093.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v = -19*v - 252 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 7. Determine x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 7 = -36*p + 7*l, 4*p - 2*l = -32 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c - 35. Let i be n(-5). Let y(h) = h**2 + 15*h + 15335. Is y(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2. Let h(p) = -7*p**2 + 4*p + 2. Let a(w) = 15*w**2 - 10*w - 5. Let z(f) = 4*a(f) + 10*h(f). Give z(k(t)).\nAnswer: -40*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 22, 20, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 20739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18400, 73470, 165208, 293614, 458688, 660430?\nAnswer: 898840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cck when three letters picked without replacement from opkxpxpxco?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.275685 and -5468.\nAnswer: -5467.724315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 41*s**2 - 452*s + 105. Let n be c(50). Solve 0 = 2*k + 6, -12*z - 27 = -9*z + n*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/6999942 and -103\/76.\nAnswer: 13999884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/19)*c*c\/c**13)\/(c*c*c\/(c*c**3))**(11\/2))**(1\/12))**23 assuming c is positive.\nAnswer: c**(-4853\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58392109.\nAnswer: 29, 631, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -175946192.97 to the nearest one hundred thousand.\nAnswer: -175900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -367 - -2951\/8. Let q = o - 11\/8. Sort 0, 11, q in decreasing order.\nAnswer: 11, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13275752 (base 8) to base 4\nAnswer: 23113233222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -88303.\nAnswer: 3\/88303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*n - 260, -147 = -3*n - 5*d + 46. Let w = 9 + n. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 22020215?\nAnswer: 22020224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 65001735304 + 65001735304.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:45 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 - 5*u**5 + 0*u**5 + 3*u**5 - u**5 + u**5 + 3*u**3 - 3*u**3 - 3*u**5 + (2*u**2 + 0 + 0)*(2*u + 2*u**3 - 2*u) + 3*u**5 + 4*u**5 - 5*u**5.\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 468762?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4255*l - 2054*l - 2213*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -52. Let r(a) = -74*a - 8. Let c be r(-1). Let p = c - w. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5394123*l**4 - 8104*l**2 - 83*l + 2?\nAnswer: -129458952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 + 8*j**2 - j - 6. Let x(g) = 2*g**3 - 5*g**2 + g + 4. Give 5*i(m) + 8*x(m).\nAnswer: m**3 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -21. Let h = -1 - -4. Let j = 6 - h. Which is the closest to -2\/5? (a) j (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 28*p**2 - 94*p - 26. Let y be g(24). Let s be (-4)\/12 + 67\/3. Are y and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 40*g**2 + 54*g**2.\nAnswer: 95*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2328, -2329, -2330, -2331?\nAnswer: -2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 + -224. What is the closest to -2\/13 in -2\/9, 6\/7, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2869 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 169379\/(-3570) - (-4)\/(-6). Let h = -738\/17 - b. Calculate the common denominator of 65\/6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, -17, 3, 1, -442?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15831 divided by -3.\nAnswer: 5277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + 2*sqrt(13))*4.\nAnswer: 28 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -21, -1, 1\/2, 2\/15535, -0.044?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-2) - 12\/(-3). Let m(q) = q**2 + 3*q - 4. Let s(k) = k**2 - 1. Let d(p) = a*m(p) - 4*s(p). What is the second derivative of d(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/2555 and 39\/1022.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38440 - -38444. Let s = 37\/60 + 1\/20. Which is the nearest to 9.1? (a) -3 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let i(m) = -m**3 - 2*m**2 + 3*m + 4. Let w be (-3)\/(12\/16 - 1\/(-4)). Let f be i(w). Suppose f*k = -c + 23, -5*c - k + 39 = -0*k. Give t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12.4519415 or 0?\nAnswer: 12.4519415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 214, 852, 1906, 3376, 5262, 7564, 10282?\n\"Answer: 208*s**2 + 14*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240 + -532. Let i = z - -290. Which is the closest to 0.2? (a) i (b) 1\/8 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4 - (-13)\/2. Which is the closest to 0? (a) 4 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11f - -2dc0?\nAnswer: 2edf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8638 * -5.\nAnswer: 19.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h + 1. Let p(d) = 12*d + 5. Give -4*p(j) + 18*r(j).\nAnswer: 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 476*l**3 - 3*l**2 + 2*l - 2. Let v(y) = 714*y**3 - 4*y**2 + 3*y - 3. Let j(i) = 7*c(i) - 5*v(i). List the prime factors of j(-1).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 + 3.65. Let d = 4 - l. Let p = 0.24 - -0.06. Which is the biggest value? (a) p (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 16*q - 16 = 0. Let z be ((-5)\/(-35))\/(2\/q). Let u = -7\/17 + 11\/68. What is the second smallest value in z, u, -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 733 - 729. Solve -5*x = a*x + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7968.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 12*g**2 + 25*g**2 - 55*g**2 as t*g**2 + m*g + v and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3527840 divided by 207520.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*t = 115*t - 2, t = -2*f - 12*f + 5*t + 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10003 is divided by 220\/(-66)*(-1230)\/100.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 1. Let b = 22.1 - 22.1. Let p = -83 + 82.5. What is the closest to u in p, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1152263 and 3394.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffyyffffy. Give prob of picking 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -245 + 159. Let o = u - -198. Calculate the greatest common divisor of o and 336.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/172 and 69\/12859408.\nAnswer: 12859408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-14) - 3\/21. Let r = -5 - -49\/10. Which is the closest to 0.1? (a) r (b) 1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 415*c + 20113. Determine u(132).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 149? (a) -0.1 (b) 0.3 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 9*v - 826. Let x = v - 405. What is the highest common factor of x and 496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m, 2*m = -7*s + 3*s + 4. Suppose 2*y - 3*i + 19 = 0, -2*y - 3*i - 13 = -s*i. What is the least common multiple of 14 and y\/(-10)*(-75)\/(-6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3784712*h**3 + 10961086 wrt h.\nAnswer: 11354136*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -5\/6 (b) -1\/10 (c) 1508 (d) -2\/15 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -y + 13, y + 2 = v - 0*y. Suppose -o + 4*o = v*u - 24, -4*u + 11 = 3*o. Let d = -4 - 0. Which is the biggest value? (a) o (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -244, -122, 0?\n\"Answer: 122*t - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 - 6*w - 6. Give u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 6) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*o + 157*o + 31*o + 86*o to the form z*o + d and give z.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3402?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 1 (c) -0.05201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3370?\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -119. Suppose -3*j = -20*j + 442. Calculate the remainder when m is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 41134 in ascending order.\nAnswer: -5, 0.4, 41134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 4*h + 4. Suppose 0 = -0*g + 2*g - 8. Let p be s(g). Solve p*c - 2 = -3*z, 4*c = -4*z + c - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -36*z**2 - 71*z**2 - 60*z**2. Let s(u) = -u. What is o(s(t))?\nAnswer: -167*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.1, 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30041 and 10924.\nAnswer: 120164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -4, 0.047, 0.4 in ascending order.\nAnswer: -4, 0.047, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neyeyyyny. Give prob of picking 2 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330776 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 10. Suppose 0 = -c - c - 20. Let g be c + 9 + 24\/2. Let d be w(g). Let i(h) = -8*h**2 + 1. Determine i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28146.\nAnswer: 2, 3, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 191632 and 1856.\nAnswer: 766528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21156415 divided by -114359.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + u + (-2*u + 5*u - 2*u)*(12 - 21 - 25).\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3110313 (base 4) to base 11\nAnswer: -a265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {f: 3, v: 1, i: 10, a: 2}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (245 + 15)\/(12\/(-28) + 740\/1645) is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1230)\/(-112) - 4) + 3 + -10. Is 1 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6015*y - 18047. What is a(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 8*i**2 + 14*i - 34. Let l be g(9). Let r = l + -1037\/6. Which is the smallest value? (a) 1 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -14*b - 16. Let h be x(-1). Let i(d) = -2 - 3*d + 3 - 4 - 16*d**2 + 13*d**2. What is i(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*y - 57*y - 2*y**4 - 1 + 20 - y**3 in the form n*y**4 + p*y + q*y**3 + m + v*y**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d (base 15) to base 10.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55918 - 89152 + 54349 = 205*s for s.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -40. Suppose -2*x + 2 = 2*m - o*m, -x - 3 = -m. What is the units digit of -1 - x*(-30)\/4*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34553 (base 10) in base 2?\nAnswer: -1000011011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8672559200 rounded to the nearest 1000000?\nAnswer: 8673000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y. Let r(v) = 21*v**2 - 2*v - 17. Determine n(r(u)).\nAnswer: -105*u**2 + 10*u + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 521663333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4681 or -4679?\nAnswer: -4679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/(-4)*16\/(-10). Suppose 0 = -5*x + 73 - 38. What is the greatest common factor of b and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (485\/25 - (-6)\/10)*1. Let z = 1 + -1.3. Suppose -2*g + 3*g + 12 = 3*i, -4*g + 7 = -i. Which is the second smallest value? (a) g (b) k (c) z (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 12*t**2 + 15*t + 22. Does 8 divide p(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -41, -57, -73?\n\"Answer: -16*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 29*f**2 + 676*f + 5833. Calculate q(-9).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 81 = -2009. Solve 206 = 7*i + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouyyoyoylmyyouyoy. Give prob of sequence uomu.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 (base 9) in base 8?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54906, 54883, 54876, 54891, 54934, 55011, 55128?\n\"Answer: n**3 + 2*n**2 - 36*n + 54939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -3\/13 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000010101001011 (base 2) in base 9?\nAnswer: -161632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206015 - -0.23852.\nAnswer: -206014.76148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6298 and 402?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 d, and 1 t when three letters picked without replacement from {i: 5, d: 1, t: 3, r: 3, y: 1, m: 2}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53 - -4654?\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/7, 1.\nAnswer: -4, -5\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1750 and 253050.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 765.66 - 8239.06. Round l to the nearest one hundred.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(3*t**5 + 2*t**5 - 4*t**5) + 3 - 2*t**5 - 3 + 19*t**5 - 37*t**4 + 37*t**4.\nAnswer: 16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2642516 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5 + -5.83. Let j = c + -6.97. Let f = 8.29999858 + j. Round f to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780.41 rounded to the nearest ten?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 s when four letters picked without replacement from slssswlwwswsllb.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2378 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2948 rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51870, 103735, 155600?\n\"Answer: 51865*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 20, 0.016, 1\/1087?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*j + 2*j - 2*t, 39*j - 2*t + 6 + 2 = 85*j - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 7*w**2 - 3*w - 2. Let f be b(6). Suppose 3*t = 11 + f. Let s(x) = x**2 + 8*x - 13. What is the remainder when s(-12) is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m - 9 + 2*m + 3*m. Suppose 3*p = -4*u + 35, -14*u = -15*u - 5*p + 30. Calculate j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 + -9) - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 15438*r + 169938. Calculate y(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 66409092.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 906 - 612. Suppose m - 5*m + 252 = 4*h, -2*m = -5*h + d. Suppose r + h = 4*r. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 - 28*m**3 - 39 + 0*m**3 - m**3 - 48*m**3 + (m - 4*m + 0*m)*(m**2 - 2*m**2 + 0*m**2) + m - m**3 - m - 1 + 1 + 2*m**3.\nAnswer: -73*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 3*h + 3. Let u be d(4). Let m = 4 + u. Is -89*m\/6*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26002 - 8884. Calculate the least common multiple of 2 and i.\nAnswer: 17118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/173 + 1529\/692. Find c such that 0 + 0*c + j*c**3 - 3\/4*c**5 - 3\/2*c**2 + 0*c**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8 - 1432*v - 3 - 5 + 0.\nAnswer: -1432*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*b = -5*s + 60, 5*s - 150 = 5*b. What is the remainder when s is divided by (0 + 32)*((-2)\/2)\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 2*z - 10. Suppose -3*l + 7 = -2*l. Let s be m(l). Suppose -g + a + 98 = s, 3*g + 3*a = 219. Calculate the remainder when g is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 5*b**2 + 55 - 13*b.\nAnswer: 5*b**2 - 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 2*m**4 - m + 1 - m**2 + 0*m**3 + 3*m**3 to the form o*m + h*m**3 + i + x*m**2 + p*m**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/17)\/t))**7 assuming t is positive.\nAnswer: t**(224\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 4*q + 4. Let b be s(5). Let l be 0 - 0 - (3 - b). Let p be (-36)\/(-15) + l\/10. Solve 17 - p = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 4 + 4)*(-y - 2*y + 1 + 2*y) as g + j*y + i*y**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 - ((5 - -22) + 11) - 63\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/953 - -2726\/172493. Let o = 414\/2353 - g. Which is the biggest value? (a) o (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913576564 a multiple of 2695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 384*c + 1480. What is the ten thousands digit of k(33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 902.31 + -854.3. Let o = 51 + -99. Let p = o + g. Is p < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - n = 126 - 120, -v - n = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8393 divided by -135.\nAnswer: -8393\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*f + 44*f + 516 - 1176 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 5*k - 3. Let g be j(4). Let b = 5.1 - 0.1. Let v = -4 + b. Is v smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 294\/(-36))*(-35)\/(-14)*264\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 0, j + 0*a - 6 = 2*a. Suppose 0 = -h - 4 + j. Suppose -3*x + 4*d = 5 - 1, -5*x + 2*d = h. Solve x = -0*q - 5*q - 3*y - 26, -2*y = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2063164 + -2?\nAnswer: -2063166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 42. Suppose 140 = q*v - 6*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241937, 242317, 242697, 243077?\nAnswer: 243457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x - 244*x**3 - 6*x**2 + 487*x**3 - 242*x**3 + 1. Calculate b(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 - 133. Let n(u) = u**2 - 1. Let z(d) = -67*d**4 + 5*d**2 + 90. Let t(f) = a*z(f) - 5*n(f). What is the derivative of t(l) wrt l?\nAnswer: -268*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 1\/60*d**5 + 0*d**3 + 2*d**2 + 0 - 1\/24*d**4 + 0*d. What are the prime factors of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*j - 20, -3*j + 13 = -2*t - 19. Suppose j*p - 1675 = 3*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 555027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -9. Suppose -5*w + f = -86. Suppose 5*h = -0*h + w. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*p + 47 - 100 + 53)*(-p**3 + 0*p**2 + 0*p**2).\nAnswer: 107*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (1 + 1 + -4*(sqrt(117) + -1))**2.\nAnswer: -144*sqrt(13) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -91450*s**3 + 2*s**2 + s + 2. Is b(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/11 and (-3)\/(-6) + 3\/((-6)\/(-40))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 24 - 22 + 44 + 3*w - 74 in the form z*w + v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 - 117 + 30)*(-16*p - 17*p + 10*p).\nAnswer: 3565*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18 + 12)\/(39\/(-26)). Solve -4*t = m*n - 4, -38*n + 39*n + 5*t = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2902885503 + -2.2?\nAnswer: 2902885500.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67692 and 7932.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*(24\/112)\/((-51)\/(-119)). Which is the nearest to 7? (a) -2\/19 (b) -0.08 (c) 4\/3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000168798 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from xxoxxxtxxtoxxxo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = -4*g - 15, -5*j = 2*g - 25. Suppose -4*o + d + 332 = g, 172 = o + o + d. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 7. Let r = -45 + 313\/7. Which is the second smallest value? (a) 1\/4 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + ((sqrt(300) - (sqrt(300) + -2 + sqrt(300))) + sqrt(300))*-5.\nAnswer: -10 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03621968778 rounded to four decimal places?\nAnswer: 0.0362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1165414 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 18 = 13 + 39. Solve v - p = 0, 4*p + 4 - 8 = x*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/1)\/((-3)\/6). Solve n - 7 = -3*g, -a*n + 16 = -4*g + 3*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33380)\/60084)\/(370\/12).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9) + (-13)\/(-3). Suppose 0*s = -m*s + n + 65, -5*s - 2*n = -65. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryyorrr. Give prob of sequence rryr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411, -827, -1249, -1677?\nAnswer: -2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 284*w**3 + 2*w - 647*w**3 + (2*w + 2*w - 3*w - 3*w + 0*w + w - 2*w + 0 + 0 + (-2 + 1 + 0)*(0*w - 3*w + 2*w))*(37*w**2 - 18*w**2 + 9*w**2).\nAnswer: -419*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 7*k**3 - 2*k - k - 3*k to the form x + g*k**3 + o*k**2 + a*k and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(-11)\/((-121)\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Let n be (z - 6)*(-4)\/(-10). Is (-14)\/(n + 2 + -1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(8 + -5) - 0. Suppose -2*p - v*a - 13 = 0, 0*p + 2*a + 15 = 5*p. What is the derivative of p - 40 + 32*w**4 - 1 wrt w?\nAnswer: 128*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 9*b**2 + 5. Let z be c(-5). Let i = -44 + z. Suppose 0 = -5*j - 2*n - 0*n + i, 0 = 5*j - 2*n - 49. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 5*o**2 + 9*o - 9. Let a be h(6). Suppose -a*g + 4*g = -150. What is the greatest common factor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -592, -3, 4 in descending order.\nAnswer: 5, 4, 2, -3, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 s, and 1 u when three letters picked without replacement from srtbu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3*4\/(-4))\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 75. Suppose 0 = -7*w + t + 874. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*c + 22, 0 = -c - g + 4*g + 11. Suppose -c = -o - 2. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 81 = -5*h + 2*h, -4*h = -3*a + 37. What is the remainder when 73 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/22 + (-21)\/66\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/209967 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -329\/8. What is the second smallest value in -2\/5, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6793.42231 to the nearest integer.\nAnswer: -6793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (3 - 1))*5. Let v = 10 - k. Suppose v*j = j + 80. Solve -5*s + 3*p + j = -2*p, 10 = -5*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 6*i + 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 346 - -2?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3086 less than -0.04?\nAnswer: 3085.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 31.7, 52, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 8*q - 10. Let y be h(9). Suppose 7*a = 2*a. Let b be 10\/(-3) + a + 1. Which is bigger: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -10*a**2 + 109*a + 16. Let y(l) = -11*l + 54. Let q(o) = 2*t(o) - 5*y(o). What is the first derivative of q(g) wrt g?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 7*p - 6. Let v be t(-8). Suppose -5*x - 30 - 23 = -v*b, 0 = 2*x + 6. Calculate the remainder when b is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 454*l - 454*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -866, -3468, -7808, -13886, -21702?\nAnswer: -31256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ladtdaawqtdd. What is prob of picking 1 w and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 641432, 641574, 641716?\n\"Answer: 142*f + 641290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 + 4*y - 2. Let m be l(1). What is the greatest common factor of 21 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Let i(p) be the first derivative of -5*p**2\/2 + 9*p - 2. Let j(r) = r - 2. Let q(m) = 4*i(m) + 18*j(m). Give q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 76*u + 431. What is the remainder when 90 is divided by s(81)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111073170 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**15))\/(i\/(i\/(i*i\/(i\/(i*i*i\/i**1))))*i))\/(i\/i**(-2\/41)*i*i\/(i**(1\/9)*i)) assuming i is positive.\nAnswer: i**(-7726\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 589 and -293.\nAnswer: -172577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 34*z + 186. Calculate the remainder when v(-18) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/4 + 63715*n**3\/4 - 254656*n**2 - 8920260*n + 152877600 = 0 for n.\nAnswer: -24, 20, 63699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700) + 2 + -1*sqrt(2700) - (sqrt(2700) + (sqrt(2700) - 1*(sqrt(2700) - (sqrt(2700) - (sqrt(2700) + -1))))))**2.\nAnswer: -60*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23.29 and 3?\nAnswer: 26.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (1 + -23 - 1 - (59 + -70)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24 + 9 - -13)\/10. What is the nearest to -19 in u, 1, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnln when four letters picked without replacement from lnnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76495 is divided by 9228?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:25 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100538472 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*t - 140 + 117 = 0, -35 = -5*z - 5*t. Is z at most 2\/703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2202412 (base 5) to base 8\nAnswer: -111741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -0.15833?\nAnswer: -4.84167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2\/3 - 871*z\/3 - 2344 = 0.\nAnswer: -8, 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -1\/12*z**4 + 3\/2*z**2 + 2*z + 0 - z**3. Suppose -4*f - 14 = -p, 0 = -11*p + 15*p - 3*f + 9. Determine w(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 815, 861, 907?\n\"Answer: 46*t + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 s, and 2 y when four letters picked without replacement from yymsmym?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*l + 5 - 1, l = 4*w - 17. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143226 divided by 9.\nAnswer: 15914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -141502033 (base 6) to base 8\nAnswer: -13003345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -d - 1, f + 21 = -0*f - 5*d. Suppose 605 = p + f*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -9183.\nAnswer: 1\/3061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + -13 + -10 - (-1 - 0 - (2 - -10))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b0 (base 12) in base 16?\nAnswer: -a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 + -108. What is the units digit of 299 - (-5 + 1 + x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136.5059 + 0.0259. What is r rounded to 0 dps?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -455*q**3 - 15*q**2 + 30*q + 22. Let v(m) = -457*m**3 - 9*m**2 + 30*m + 21. Let a(c) = 2*l(c) - 3*v(c). Find the second derivative of a(i) wrt i.\nAnswer: 2766*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54430129?\nAnswer: 13, 29, 353, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 7*w + 51 + 120 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 35456 = -10*b + 119456. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmaa when four letters picked without replacement from {b: 1, g: 6, s: 1, a: 1, c: 2, m: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 963730571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by -210446?\nAnswer: 81\/210446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 57 = -17. Let o(s) = s**3 - 3*s**2 - 2*s. Determine o(r).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83138309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*s - 103 = 0, 14*a - 12*a - 2*s = 66. Solve 2*f = -2*f + 3*c + a, -4*c - 22 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1428693, -1428691, -1428689, -1428687, -1428685, -1428683?\n\"Answer: 2*h - 1428695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5\/((d\/(d*d\/(d*d**7))*d)\/d)*(d*(((d**(2\/9)*d)\/d)\/d)\/d*d)**(-5\/9))**(28\/3))**(-49) assuming d is positive.\nAnswer: d**(235984\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1128888 divided by 47037\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2\/2 - 474843*l\/2 - 1424583 = 0.\nAnswer: -6, 158287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:15 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 1:03 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 9. Let q be v(-7). Let a = q - 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 57648212.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16991, 0, -38, 3, 26 in increasing order.\nAnswer: -38, 0, 3, 5, 26, 16991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-21)*-3)\/((-5)\/(-6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 216 - 6. Suppose 0 = 5*j - k - v, 3*k + k = -j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2301, -977, -10?\nAnswer: -977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 11. Let t be f(-8). Suppose 4*n - t*n = 16. Is (-13)\/(n\/14 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 13*c - 14. Let q be u(14). Let a = 16 + q. Suppose -a - 40 = -7*n. Calculate the least common multiple of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5711, 47936, 162569, 385820, 753899, 1303016, 2069381?\n\"Answer: 6035*i**3 - 6*i**2 - 2*i - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3689 + 4058. Calculate the remainder when t is divided by 214.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, 296, 997, 2364, 4619, 7984?\n\"Answer: 37*r**3 - 2*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 350. What is v in 0 - 3 - k*v**2 + 80*v**4 + 20*v**3 + 10*v**5 - 55*v - 7 + 25*v**5 = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788 = -1097*p + 900*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190706 and 639.\nAnswer: 1716354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x = 65*x - 390*x - 15288 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26850 or -402728\/15?\nAnswer: -402728\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -134.738, 1\/29, 0.04 in ascending order.\nAnswer: -134.738, -3, 1\/29, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s + 85*s - 75*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 17 = 5, 0 = -2*n - 2*z - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/9 (b) -6 (c) -28\/3 (d) 1\/10 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/12080 and -83\/40.\nAnswer: 12080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/54 and 65\/22?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/330 and (-9 - (-603)\/81)\/(200\/114).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -5*v + 2*h, -57 = 4*v - 2*v - 3*h. Let x be 4 - ((-90)\/v - 0). What is the closest to -9 in 2\/13, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12360 divided by -120\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 160*s**3 - 460*s**2 - 13600*s - 24000.\nAnswer: -5*(s - 20)**2*(s + 2)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from looololllololo. Give prob of sequence ool.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19256 divided by 3058?\nAnswer: -9628\/1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 470 = 737. What is the remainder when 170 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 9:43 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q - 18 = -5*r, 0 = r + 2*q - 5. Suppose v - r = 0, 4*v - 32 = 2*g - 7*g. Which is the smallest value? (a) 2 (b) 5\/2 (c) 0.5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 5 + 89 - -2. Let n = -2 + 2. Suppose -60 = -5*j - n*j. Calculate the greatest common factor of d and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/38628 and -181\/60.\nAnswer: 193140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 8. Let i be 5*(36\/(-15) + c). Let z be (16\/6 + -2)*3. Sort i, z, 1 in descending order.\nAnswer: z, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**4 + r**3 - r**2 - 1. Let q(v) = -36*v**3 + 5*v**4 - 113 + 67 + 66 + 60*v**2 - v**5 - 48*v. Let u(o) = 3*q(o) + 12*x(o). Factor u(z).\nAnswer: -3*(z - 2)**4*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/17 (b) 6 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207.\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 924*w. Does 13 divide i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f. Let i(s) = 1219*s. Let k(m) = -20*m. Let w(h) = -3*i(h) - 184*k(h). Calculate w(b(u)).\nAnswer: 46*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 0.065\nAnswer: 1.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1737 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, -67, -291, -613, -1033, -1551?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2380 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 932*m**2 - 36*m + 8388.\nAnswer: 4*(m - 233)*(m - 3)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 1983, 4444, 7889, 12318?\nAnswer: 17731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39595 (base 11) in base 2?\nAnswer: -1101110100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/10 and 3\/430.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175597?\nAnswer: 89, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 1. Let x(a) = -3*a + 7. Suppose 0 = -m + 7*m - 12. Suppose -3*g + 1 = -m. Calculate g*x(l) - 6*j(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*r - 16 = -189*r, -3*r = 2*i + 10 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b\/(b*b**2))\/b)))**(-8\/13)\/(b\/(b*b**(-9))*b**(2\/27)) assuming b is positive.\nAnswer: b**(-2537\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 11514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1, 4, 1\/24, 2\/11?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200120 + 10?\nAnswer: 1200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4969942 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*6*(-2)\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j + 2 - 3 + 5 - 3. List the prime factors of m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -331, -745, -1317, -2041?\nAnswer: -2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -6*r - 21 - 2*r**3 + 3*r**4 - 15\/2*r**2 + 12\/5*r**5 + 1\/2*r**6. Factor i(a).\nAnswer: 3*(a - 1)*(a + 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63228.\nAnswer: 2, 3, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*i = -1 - 12, 0 = i + 3. Let d be -4 + (c - (1 - 3)) + 1. Let v be 0 - (d*-5 - (-33)\/11). Solve 0*l = v*t + 4*l - 18, -15 = -3*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 - 2*c**4 + 6*c**4)*(4*c - 6*c + 7*c)*(2 + 8 + 1).\nAnswer: 165*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9988.608 micrograms in milligrams?\nAnswer: 9.988608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3847 + -1794. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = m + 613, -2*r + 2*m = -2*m + 1202. Let j = -813 - -808. Let d be 1\/j + r\/(-145). Solve -t = -3*n - 5, -d*n - 24 = t + 2*t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171 is divided by 231.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13208 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4473487580.\nAnswer: 2, 5, 23, 701, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133) - (sqrt(133) + 2*sqrt(133)) - sqrt(133)) + sqrt(133))*-1 - sqrt(133)*-3*2)\/(1*sqrt(343) - (sqrt(847) - sqrt(847)*-1)).\nAnswer: -7*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043507 + -25862682?\nAnswer: -26906189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3029 times -0.3?\nAnswer: 908.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.42 + 3.02. Let n = v - 0.6. Let a = -4 + 7. What is the smallest value in n, a, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13647010 divided by -14690.\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*y - 8 + 2116*y + 0 + 563*y + (-1 + 2*y + 1)*(-2 - 3 + 7) - 2*y - 4 + 4 in the form m + k*y and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 - -73. Let z = o + -151.99999462. What is z rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 6*f + 4. Let i be u(-5). Let z(w) = 13*w**2 + 2*w + 1. What is the units digit of z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33956 - 67902 + 33948 + 46*z.\nAnswer: 46*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 215 = -218. Suppose 0 = -5*b - 2*d - 72, -s*d + 48 = -4*b - 7*d. Sort 3, 0, b in ascending order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1 (b) -6 (c) 4 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/163496 and 38\/429177.\nAnswer: 3433416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61944, 124168, 186392?\n\"Answer: 62224*i - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 7, -3, 1.\nAnswer: -5, -3, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 225, 286, 345, 402?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3\/9)\/(1\/645)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/36)\/(9\/6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215014219.\nAnswer: 3, 11, 137, 197, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 15*y**2 - 31*y + 4. Calculate a(-13).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 5:29 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -15, -36, -57, -78?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 19*l**2 - 52*l - 16. Give f(6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 8*v**2 - 7*v - 12. Let j be f(9). Suppose -1594 = -5*d + 3*o, -3*o = -4*d - j*o + 1259. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -12, 8, -237 in increasing order.\nAnswer: -237, -32, -12, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -44*(-3 + 4) + -4. Let y = 51 + k. Suppose -27 = -4*d + 5*w - 7, y*w + 12 = -5*d. Solve d = 3*r + 6 - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180803732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -1. Suppose 7*d = t*d + 165. Let p be d\/712*10 + (-3)\/(-4). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 5)*(2 - 2*u - 2) + 2 - 2 + u)*(2*u + 1 - 1).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12356388 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 a when four letters picked without replacement from aadttaa?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) -3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4268 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 1\/2, 5\/3, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6*40\/(-160)*22\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35251 rounded to 2 dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8584830 to the nearest one hundred thousand.\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367 + 62*p**2 - 367)*(p - 2 + 2).\nAnswer: 62*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.87965963 to 2 dps.\nAnswer: -16.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.7487nm to millimeters.\nAnswer: 0.0002247487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30969\/3053 or 0?\nAnswer: 30969\/3053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) 5 (c) -359 (d) 0 (e) -589 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -133. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*p - 6, 0 = 4*d + 6 - 2. Suppose -p*o + 63 = -47. What is the highest common divisor of o and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*c + 7*k - 120, -4*k = 12. What is the remainder when 248 is divided by c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + u**2)*(2*u**3 - 2 + 2*u - 2*u + (u**2 - u**2 - u**2)*(u + 4 - 4) + 1 - 1 + 2*u**3).\nAnswer: 3*u**5 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0034 + -54.6034. Let w = -55 - s. Let l = -1.06 - 1.94. Sort 3\/11, l, w in decreasing order.\nAnswer: 3\/11, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - x - 120. Suppose r - 12 = -2*r, -2*a - 2 = -3*r. Suppose -933 = -a*s - 33. Calculate the highest common factor of x and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:14 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50012456 divided by 8.\nAnswer: -6251557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 + 4.40047. Round x to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/5 + 2187*a**3\/5 + 24139*a**2\/5 + 85677*a\/5 + 19782 = 0. What is a?\nAnswer: -5, -3, 2198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -4 (b) -718 (c) 0.4 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 3, d: 1}. What is prob of sequence dn?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67329126 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8066130 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*c**3 - 456*c**3 + 185*c**3 + 4*c.\nAnswer: -3*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3286939 or -3286950?\nAnswer: -3286939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 283.9511574 to 1 decimal place.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.32 + 0.22. Are 4 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 3*r + 3*o - 765, 0 = -r + 5*o + 237. Let a = r - 247. Calculate the highest common divisor of 55 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3153*t - 73*t + 2607*t - 587*t.\nAnswer: 5100*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.4 - -22.4. Sort -0.4, 0.5, s, 3 in descending order.\nAnswer: 3, s, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -77, -122?\n\"Answer: -45*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 divided by 18?\nAnswer: 131\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -1 + (-5)\/5 + 4. Let j be (w - (-1)\/((-4)\/8))\/(-1). Suppose 6*y + 2 - 8 = j. Solve 3*f + 18 = 2*o + y, -3*f - 9 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/1*-12. Let f(l) = -9193*l**3 - 12*l**2 + 10. Let u be f(x). Let m = -2302659 - u. Round m to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3. Let t be h(1). Let o = t + 1. Let b = -4.06 + 0.06. Sort b, o, 1\/4 in descending order.\nAnswer: 1\/4, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 8 = 3*q, 26 = 17*q + 2*g - 63 + 29 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = 45*f - 1395. What is the second biggest value in 2\/3, -4, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m + 29. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 16\/20 + 684\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.036.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15880 by 3176.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7937000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, b: 6}. Give prob of sequence bbeb.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*y + 9 = 8*w, -4*y = -3*w + 39 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -21*x**2\/2 + 7*x - 829. Give w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 296034*m - 3. Let r be i(6). Let v = -3266201 + r. What is v rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32739, -130751, -294171, -522999, -817235?\n\"Answer: -32704*v**2 + 100*v - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 65.0523 and 546.56199.\nAnswer: 611.61429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drqu when four letters picked without replacement from {u: 1, q: 6, e: 4, r: 1, d: 2, a: 1}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5599515105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12254413?\nAnswer: 523, 23431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 k when four letters picked without replacement from nknnnktttttknkn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -463c2?\nAnswer: 463c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 29, -0.2, 1\/4, -2, 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 879978 to the nearest ten thousand.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -59 and -66 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + 11 + -40 + -20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104200?\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v*x**6 + 789071*v*x**4 - 29*v*x**2 - 191890*v wrt x.\nAnswer: 720*v*x**3 + 18937704*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108 + 185. Suppose 4*z = -3*f + 59, z - f - 7 + 1 = 0. What is the highest common factor of z and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 6675*w + 241597. Give g(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 1852*r + 1856*r - 14, 2*r - 8 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 134. What is the closest to a in -1\/4, -0.1, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37842 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 490*v**2 + 11180*v + 23. Determine k(24).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3402*b**2 + 181*b**2 - 331*b**2 + (0*b + 4*b - 2*b)*(-2*b + 2*b - 2*b).\nAnswer: -3556*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 312?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020188960 rounded to the nearest 1000000?\nAnswer: 1020000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*a**2 - 1715*a**2 - 383*a**2 + 2080 wrt a.\nAnswer: -4238*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuauuuauua. What is prob of sequence uu?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6254, -6, 38 in descending order.\nAnswer: 38, -6, -6254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4363)\/(-2) - 306\/204 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 52\/12525?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 421*a - 417*a - 12 in the form z + f*a and give f.\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjsssjssjss.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*(-45)\/6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:01 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*s**5 - 7*s**2 - 22*s + 27*s**5 - 107*s**5 + 20*s + 35 + 3*s**2 + 19*s**3 wrt s?\nAnswer: -3300*s**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*3 + 3 - (sqrt(216) - (sqrt(216) + -2*sqrt(216) + sqrt(216)))\/sqrt(12)) + 1)**2.\nAnswer: 48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {w: 2, i: 2, d: 3, v: 8}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0612 + -0.0612. What is the closest to 0.1 in 2, -10\/9, w, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-15) + 54\/(-10). Let d(h) = h**2 + 7*h - 4. Let r(j) = 4*j**2 + 29*j - 17. Let v(z) = -9*d(z) + 2*r(z). What is the units digit of v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14566823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -2.4. Let r = 680 + -693. Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1534\/(-766) + 2 + 0. Suppose -5*c = -4*t - 31, -19*c - 32 = -23*c + 4*t. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2142446503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112)*1)**2 - (4 + -1*(sqrt(1008))**2).\nAnswer: -8*sqrt(7) + 1117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.887 + 39.807. What is q rounded to one decimal place?\nAnswer: 38.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411720.\nAnswer: 2, 3, 5, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 8. Calculate the remainder when h is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(560)\/sqrt(5).\nAnswer: -5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 5*l + 5, 3*l - 4*o = 37 - 68 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 37. Put -2, -61, q in descending order.\nAnswer: q, -2, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.00017 - 6. What is s rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {c: 13, t: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbpababpzb. What is prob of sequence paz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062 is divided by 68?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100 * 1.1.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 1465*n**2 - 27585*n + 125955.\nAnswer: 5*(n - 9)**2*(n + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89\/12 + 49\/6. Which is the biggest value? (a) v (b) 2 (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8980901 a multiple of 893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i**(2\/13))\/((i\/(i**(-3\/7)\/i))\/i*(i*i**(-7)*i*i)\/i))\/(i\/i**(-4)*i*i\/i**(-1)*i)**16 assuming i is positive.\nAnswer: i**(-13220\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/292418 and 33\/29.\nAnswer: 8480122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1172 = -7*a. Let q = -124 + a. Calculate the greatest common divisor of q and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i*u**5 + 28*i*u**3 - 2*i*u - 1378*i + 5*u wrt u.\nAnswer: 80*i*u**3 + 168*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 - 2\/(-3). Let d = 1 - c. Suppose 3*n - 10 = b, -b = -2*n - d*b + 8. Solve -2*k = n*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476243177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsgpaaggcdpg. Give prob of sequence cdpd.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*y**2 - 4 - 76*y**2 + 156*y**2 in the form i*y**2 + l + s*y and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2570775184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1222?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 948 and 228429132?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*4\/24*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -15.201625?\nAnswer: -121.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 443, 818, 1115, 1328, 1451?\nAnswer: 1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, 30, 3\/16, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-7590)\/(-9))\/(((-280)\/15)\/(-28)) and 644.\nAnswer: 35420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9219018?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0*t**3 - 5*t**2 - 1\/20*t**5 + 1\/6*t**4 + 0 + 0*t. What is the second derivative of a(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 71. Let o = -1 + s. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i - 8*i - 3220 + 3219 + 2*i**3 + 2*i**2 as q*i**2 + z + k*i**3 + h*i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1996 + 2463 + n**2 + 45*n**3 - 2*n**6 + 1829 - 2*n**4 wrt n.\nAnswer: -240*n**3 - 48*n + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -834026*y - 1 - 17*y**2 + 833977*y + 1 to j + z*y + w*y**2 and give z.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2166 is divided by 2162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-7)\/(-2))\/((-2)\/4). Suppose 126336 = -c*j - 23*j. Round j to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22114014 and 0.5.\nAnswer: -11057007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*q**2*s**3 + 10*q**2*s + 2*q**2 + 2*q wrt s?\nAnswer: 1020*q**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1382)\/(-40) + 4\/20. Let b = 893\/28 - i. Calculate the common denominator of -18\/11 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 take away 0.397?\nAnswer: 976.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 39\/11, -15, 0.2, 0 in increasing order.\nAnswer: -15, 0, 0.2, 0.5, 39\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 12*x - 42. Give u(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11755 - -11750. Suppose 0 = -3*o + 2*n + 1, -2*o - 2*n + 19 - 5 = 0. Sort 0, p, o in increasing order.\nAnswer: p, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-2)\/((-4)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 c, and 1 x when four letters picked without replacement from {s: 4, p: 1, e: 3, x: 4, u: 4, c: 4}?\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c + 168*c**3 + 217*c - 34*c**3 - 406*c + 214*c.\nAnswer: 134*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 + 6*a - 7. Let k be w(6). Suppose -k = -4*q - 9. Suppose -q*i + 40 = -0*i. Calculate the least common multiple of i and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16b5 - -88?\nAnswer: -162a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 792.5 + -792. Let r = -0.03 + 0.43. Put r, -0.3, c, -2\/5 in descending order.\nAnswer: c, r, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g - 2. Suppose -m + g = -12. Let p be (-910)\/(-42)*18\/10. Calculate the highest common divisor of m and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let m be t - (4\/3)\/(-2). Let w(l) = l**3 + 8*l**2. Let v be w(-8). Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gygyggyyyyggygygygg. What is prob of picking 4 y?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:06 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let m(u) = 1 - 100*u + 50*u + 51*u + 2. Determine m(y(a)).\nAnswer: 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21375251 + -1?\nAnswer: -21375252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 81 and 112.294.\nAnswer: 193.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1\/1 + -1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*m - 53*m + 38 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkkk. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**15*n*n)**(-42)\/(n*n*n**10*n*n**(-19\/5)) assuming n is positive.\nAnswer: n**(-3826\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 times -30995?\nAnswer: 3316465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(1\/3))**(-25\/4)*(b\/b**(-17))\/b*b\/(b\/((b\/(((b*b**(-6\/5))\/b)\/b)*b)\/b))*b)**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8638, -17100, -25562, -34024?\nAnswer: -42486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2386847.\nAnswer: 181, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhehhhehee. Give prob of sequence eeh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 30*s**2. Let w(f) = 13693*f. What is w(v(k))?\nAnswer: 410790*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -832*i + 17 - 18 - 3*i**2 - 1205*i + 4*i**2 to j*i**2 + n + o*i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/447144 and 45\/7303352.\nAnswer: 21910056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 21*c**2 - 7*c. Let k(b) = 31*b**2 - 10*b. Suppose 0 = 5*a - 2*m + 23, -5*m - 38 = -8. What is a*y(l) + 5*k(l)?\nAnswer: 8*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -57, -2, -8.\nAnswer: -57, -8, -2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -967 - -964. Let i = 17\/9 - 137\/63. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3451 - 3695. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*j = -0*j + 14, -2*o = -j + 5. Let n(i) = i**3 - 6*i**2 - 8*i + 59. Let s be n(5). Is (o\/s)\/((-6)\/(-765)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**2\/2 + 200*o - 1. Let r be v(0). What is r rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112 + -6?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-16\/9)*g))\/(g*g\/(g\/g**20)*g) assuming g is positive.\nAnswer: g**(-182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - 15*x - 15. Let y be (-1)\/((9\/3)\/(-12)). Let n be -17 - y\/6*-3. Let q(a) = a**3 + 4*a + 4. What is n*q(h) - 4*i(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 + -320?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7*i - 2*i = 1, -4*i - 4 = 0. Let b be 1*(-3)\/78*u. Let n(x) = x**3 - x**2 + 2*x - 1. Let v be n(1). Which is bigger: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 113. Let h = -15 + m. Suppose 2*d - 5*s + 2*s = 46, 5*d - 129 = 4*s. Calculate the highest common divisor of d and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*b + 45*b + 105. Suppose -6*c + b = -9. Let w be (18 - c) + (-27)\/(-25). What is the biggest value in w, -1\/4, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*w + 4 + 25, 0 = -3*p + w + 14. What is the third derivative of c**3 + 2*c**3 - 3*c**p - 3*c**2 + 8*c**5 wrt c?\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 11) + 32 - (-10 - -8)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*(5 + sqrt(468)*-1)*-5 + -5)*3 + 4)**2.\nAnswer: -47160*sqrt(13) + 438361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j + 0*j - 2*j)*(-5*j + j + 2*j) + 5*j**2 - 4*j**2 - 10*j**2 + (-5*j - 3 + 4 + 3*j)*(69*j - 86*j + 67*j) to the form w + d*j + n*j**2 and give n.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2032, -1, 1 in increasing order.\nAnswer: -1, 1, 2032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + 3.9. What is the third biggest value in 1, -271, q?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2. Let l(d) = 54*d + 24. Let p(i) = -11*i - 5. Let c(o) = 5*l(o) + 24*p(o). Give r(c(t)).\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3840*j - 71252 = 649 + 27939 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiigiioeeong. What is prob of picking 2 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 32.5, -4, -0.3.\nAnswer: -4, -0.3, 2, 32.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 5*y + 7. Let z be r(6). Calculate the greatest common divisor of 8 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.39 in 40, 6, 1\/2, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9380)\/938)\/((55\/18)\/(-11))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x + 0*x - 5*x + 23. Let j be z(14). Solve 5*w = -2*a - j, 0 = -5*w + w - 4*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/104*(-7)\/(21\/(-4))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*s**4 - 2676*s**3 + 28436*s**2 + 18644*s - 952 = 0. Calculate s.\nAnswer: -17, -2\/3, 1\/21, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 28 = 3*k - 11, 0 = -2*k - 5*d + 47. Solve -19*y + k = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/143, -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 11425*g**2 - 6543635*g + 19528215.\nAnswer: -5*(g - 1141)**2*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2030 (base 13) to base 9\nAnswer: -6065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + (-13 + 24 - 18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29577, 29575, 29573?\nAnswer: 29571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 25 = 11*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 285442788*s**5 - 51206602*s?\nAnswer: 5708855760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1) - 16) + -2. Let r be b\/(-5) - 10\/25. Suppose 2*t + 22 = 6*u - 2*u, 5*u + r*t = 22. Solve x - u*p - 12 = 0, 2*x - 4*x + 2*p = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 569744614 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 4*f - 33. Let m be ((-12)\/(-21))\/((480\/105)\/16). Let h(v) = v**2 - v + 11. What is m*c(u) + 7*h(u)?\nAnswer: u**2 + u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237 - 168. Let b(g) = g**3 - 4*g + o*g**2 - 40*g**2 - 32*g**2. Give b(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60007?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1219578.51354661+0.1\nAnswer: 1219578.61354661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 35*j + 74. Let a = -242 + 279. Let g be q(a). Factor -16\/3*w + g - 4\/3*w**3 + 16\/3*w**2.\nAnswer: -4*w*(w - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -173455, -173375, -173245, -173065, -172835?\n\"Answer: 25*k**2 + 5*k - 173485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*m = -151646 + 144389 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-20) - 717*(-5)\/(-150). Let m = -49 - -25. Let x = m - i. Solve x*q = -q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - r**3)*(0*r**2 + r**2 + 0*r**2) + 3*r**5 - 2*r**5 + r**5.\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -738\nAnswer: -73.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -7*w + 51 - 15, -4*x = 4*w - 16 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*k + 85*k - 24*k - 30*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552\/(-6900) - (-16)\/75?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13574831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4658313.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 85. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*m = c - 43, -3*c + 45 = -3*m. Suppose -y + 6*y - c = -h, -3 = -y. List the prime factors of 4\/(-8) + (-138)\/h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 702803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*(1215\/812)\/15 and -1\/308.\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2504.\nAnswer: 3\/2504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u - 9. Let o = -357 + 353. Let h(k) = 3 - 13 + 7 + 0*k + 3*k. Determine o*b(t) + 11*h(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14*w**2 - w. Let u(d) = d**2 + 4*d - 5. Let x be u(-5). Suppose -4*a + x*a = 4. Let b be g(a). Is 14 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 158*p - 4479. Let d be l(121). Let v = -35 - -13. Let u be v\/5 - 4\/(-10). Put u, 5, d in decreasing order.\nAnswer: 5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l - l)*(41*l**4 + 40*l**4 - 80*l**4 - 5).\nAnswer: -2*l**5 + 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 4. Let k be z(6). Let m = k + -27\/2. Let g = -19 - -19. Are m and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 297311168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 257, 258, 257, 254, 249, 242, 233?\n\"Answer: -f**2 + 4*f + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/36)\/(91\/(-26))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 308\/(-88)*(-1418 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -81922, -82394, -82862, -83320, -83762, -84182, -84574, -84932?\n\"Answer: m**3 - 4*m**2 - 467*m - 81452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4396 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**2 + 99*t - 121. Let w be c(15). What is the highest common divisor of 259 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 + 150*q**4 + 432*q**3 + 426*q**2 + 141*q.\nAnswer: 3*q*(q + 1)**3*(q + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y + 10. Let k(q) = 7*q + 11. Determine -7*g(j) + 6*k(j).\nAnswer: -7*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:14 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 3*j = 15*o - 15, -14 = 3*o + 2*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, -7, 5, -649.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2*t + 52*q**2 - 5*q - 5957*t + 1 with respect to t.\nAnswer: q**2 - 5957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t + 9. Let y(s) = 2*s**2 - 38*s - 5. Let q be y(19). Let u(a) = 6*a + 9. Let g(d) = q*u(d) + 4*m(d). Calculate g(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 27. Let z be 261\/36 - (-2)\/(-8). Let f = -320 - -325. Solve f*p - z = -l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -426512 divided by -19\nAnswer: 22448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 49 + 6*v - 12*v.\nAnswer: -3*v - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/26 + 899\/2 + 2. What is the highest common divisor of 180 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**6\/10 - 33*k**5\/20 - 13*k**4\/4 + k**3\/3 - 2*k - 48. What is the third derivative of u(t) wrt t?\nAnswer: -72*t - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273891 divided by -6?\nAnswer: -91297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, i: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.122 + -0.322. Put -0.1, 3\/2, i, 0.5 in ascending order.\nAnswer: i, -0.1, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1884 = 10*q. Suppose 722 = 5*a - 4*m, -5*a + q = 4*m - 384. What are the prime factors of a?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 7\/26, 3, -4, -1\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 138. Let s = -49.9 - t. What is the fourth smallest value in -0.3, -4, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2672 + 6*i**2 + 2705 - 5404 to the form f + u*i**2 + g*i and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23 and -1213.\nAnswer: -278.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(2*(sqrt(128) + (sqrt(128) - (-4 + sqrt(128) + sqrt(128)*1))**2) + (-3 + sqrt(2) + -3 + ((sqrt(44)\/sqrt(2))\/sqrt(11) - sqrt(2)))**2).\nAnswer: -2608 + 992*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40, -0.1, 1 in decreasing order.\nAnswer: 40, 2, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 841487812 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 times 11923?\nAnswer: -6247652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*o**2 + 6*o - 47*o**2 + 3*o - 9*o.\nAnswer: 35*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288840 and 400?\nAnswer: 2888400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 59346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 850 - -183. Let q = f + -1033.503. What is q rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 897 and 1773.\nAnswer: 530127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 64*d**2 - 15696*d - 31104.\nAnswer: 4*(d - 72)*(d + 2)*(d + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s - 105. Let a = -575\/2 + 308. Which is smaller: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 - (2340\/70 - 20). What is the closest to 3 in -59, -2\/5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-29))\/f**29 assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 18426*q - 75 = -36837*q + 18416*q, -8*m = q - 111 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1273*q = 112*q + 61533 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263\/3 + 87. What is the nearest to 1\/4 in s, -11, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15\/2, -664, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 288 = 4*d, -2*a - d + 183 - 38 = 0. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 5*t + 6. Let j be l(3). Determine d so that 0*d + j + 1\/4*d**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1044*l - 1041*l - 4*a - 135, 3*l - 138 = 5*a. Solve l*k - 1 = 40*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 4. Determine p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpzfjrzijppjfppzfp. What is prob of sequence fpjf?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2494 and 94772.\nAnswer: 94772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 125?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 241218?\nAnswer: 241218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 602 = -5*v + 607, 5*v + 2*f = 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-14)*784\/(-147)*(-36918)\/1172.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 2*b + 1. Let r be h(3). Suppose 2*v - 39 + 7 = 0. Calculate the highest common factor of v and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from eebekkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84694 - 84662 = 6*r - 4*k, 23*k = -r + 6*k - 83 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -9 + 7 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3036 and 132?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 2. Let k(w) = -3*w - 2. Let j(x) = -x**2 - 9*x + 7. Let d be j(-9). What is d*k(b) + 6*o(b)?\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/4 - 6915*u\/4 + 37851\/2.\nAnswer: 3*(u - 2294)*(u - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 1:52 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 = -2. Suppose -4*y = -2*l + 3*l - 7, -4*y - 59 = -q*l. Suppose -3*m + l*m = 1512. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 x, and 1 l when three letters picked without replacement from {u: 2, l: 1, x: 4, r: 1, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -201.11721 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from cucc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 8*j**2 - j + 13. Let l(w) = -w**2 - w + 8. Let z be l(0). Let i be x(z). What is the second biggest value in i, 8, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.8 - -10. Sort 2, i, -4\/7 in increasing order.\nAnswer: -4\/7, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4080.4 + 481587307.\nAnswer: 481591387.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2692204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.2 (c) 0.2 (d) 0.5 (e) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 1, m: 2, k: 1, u: 1, e: 1}. What is prob of sequence em?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -883 or -873?\nAnswer: -873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z = -63*z + 48176. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (700\/1680)\/(-1*(-9)\/24)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 - 162 = -d. Sort d, 0, -4, 397 in descending order.\nAnswer: 397, d, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - -6 - (12 + 18 + -26) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.02434 - -2.\nAnswer: 3.02434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 4*x**2 - 8*x + 18. Let l be m(3). Suppose -3*v - 58 - 14 = 0. Is v at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 122, 312, 508, 710, 918, 1132?\n\"Answer: 3*a**2 + 181*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 121*k - 6743. Calculate r(-162).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119803522.\nAnswer: 2, 17, 283, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j - 7 - 4)*(3*j - 5*j + 3*j)*(0 - 1 + 0)*(-3 - 4 - 8) + (-9*j + 2*j + j)*(-2*j - 2*j + 3*j).\nAnswer: -24*j**2 - 165*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 2*h**3 + 2*h**2 - 9*h + 5*h + 2*h + 2 + 3*h**3. What is o(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1776785, -1776786, -1776787, -1776788, -1776789, -1776790?\nAnswer: -1776791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -66, 2\/13 in increasing order.\nAnswer: -66, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33654 by 71.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/70186 - 1859951\/1544092. Calculate the common denominator of (-190)\/64 + 2\/1 and z.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 198. Let p be l(-48). What is the third smallest value in 1\/4, p, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 5}. What is prob of sequence uhh?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 15) to base 16\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203864501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59490 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x - 5. Let l(z) = 15*z - 6. Let u(j) = -7*j + 3. Let o(b) = -3*l(b) - 7*u(b). Give -5*g(c) + 8*o(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 81 = z, z - 4581 = 4*k - 4530. Suppose 0 = -2*a + 5*a - 39. What is the remainder when z is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5\/9 - 7*k**4\/9 - 329*k**3\/9 + 467*k**2\/9 + 19228*k\/9 - 19360\/9 = 0.\nAnswer: -11, 1, 8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -181 + 10?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-5))\/(-1 - (-85)\/75). Let u(y) = -3*y + 8. What is the units digit of u(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2112 and 10560.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 3*u + 20 = 0, 4 = q + 2*u. Let s be (20\/12 + -2)\/(2\/(-24)). Find the second derivative of y + 12*y**4 - q*y**s - 8*y**4 - y**5 wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**2*s**(-2\/9))\/((s**(-1\/4)\/s)\/s)**(-34) assuming s is positive.\nAnswer: s**(-1327\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 3986118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -382 - -383. Let b = -4 - -6. Suppose -6*m = -4*m - b. Is k equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/5)\/((-6)\/(-810)). Let t = g + 5. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 20 + 36)*(-23 + 23 + 3*r).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q - 14. Suppose -q*f = 2*p + p - 17, 8 = 4*p - 2*f. Suppose -p - 3 = -c. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5212322 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**3\/6 - o**2 - 3*o. Let d be j(7). Solve -d*x + x = p - 13, x - 27 = -5*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (-30)\/(-9)*(2 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + (-3 - -2) + 6192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/15 - 189\/(-15). Solve 2*t = -t + v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 692 - 706. What is the nearest to -3 in -3, 2, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/8231568 and 13\/857455?\nAnswer: 41157840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = y - 2*j, 0*y + 2*y = 5*j + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-228)*(162\/(-42) + 3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 79671027 divided by -111\nAnswer: -717757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = w, 4*w = 9*r + 57 + 91 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98\/5, 0.2, 385, 0, 1 in descending order.\nAnswer: 385, 1, 0.2, 0, -98\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q - 4*q)*(0*q + 0*q + q**4) - 2*q**4 + 2*q**4 - 356*q**5 + 1817*q**5.\nAnswer: 1456*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 x when three letters picked without replacement from {y: 7, i: 1, o: 3, x: 1, j: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4\/3 (b) -1 (c) 14 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*a + 2232*a - 2*a**2 - 743*a - 745*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0049893629 to six dps.\nAnswer: 0.004989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1418 - -8305\/6. Let a = 100\/3 + q. Sort 0.9, a, -0.4 in descending order.\nAnswer: 0.9, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -628 + 1069. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 8. Suppose 8 = r*x - x. Find the second derivative of -6*g + 4*g + 0*g - g**x wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106471112 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941755 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 6*i + 5 + 0*i**2 - 1\/9*i**4 - 7\/30*i**5 + 0*i**3. Let h(f) be the first derivative of t(f). Factor h(l).\nAnswer: -2*l**2*(7*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -10. Let p be (-4)\/(-1) - 84\/k. Solve -2 - 8 = -5*u, -4*b - 4*u + p = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -5\/24*m**4 + 0*m**3 - 7*m**2 + 0 + 0*m. Let c(r) = -r. Calculate 6*c(v) - h(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500904 is divided by 90.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.37000566 + 26.37. Round m to seven dps.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 3*i**2 - 3*i - 2. Let x(h) = h**3 + 7*h**2 - 3*h - 18. Let q be x(-7). Let y(j) = -2*j**3 - 2*j**2 - 2*j - 2. Determine q*y(m) - 2*d(m).\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, 7, 29, 59, 97, 143?\n\"Answer: 4*g**2 + 2*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6639*f - 9846?\nAnswer: -6639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -8. Let a(i) = i - 5. Let n be a(u). Solve -3*q + n*q - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41174699, 41174700, 41174701, 41174702, 41174703, 41174704?\nAnswer: 41174705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(((-25)\/20)\/(-5)). Let o be 2*(-12)\/n + 18. Solve 0 = 3*g + o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88710 by 1.\nAnswer: -88710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*q + 19*q + 86*q + q - 3*q + q - q - q + 4*q - q - 2*q + q + (-q - 4*q + 3*q)*(-1 - 2 + 1))*(2 - 2 - 2).\nAnswer: -172*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q - 94. Let d(x) = -x**3 + 31*x**2 + 67*x - 9. Let z be d(33). Let y be v(z). Let -2*m + 0 + 3\/2*m**3 + 0*m**y - 1\/2*m**4 = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -2*4\/8. Suppose 0 = -5*i - 10, 4*z - v*i + 0*i = 12. Suppose 0 = o - z*o. Which is greater: o or -3\/20?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2494 and 9686.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187\/5, 3, -2\/11 in descending order.\nAnswer: 187\/5, 3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -139512 divided by 2?\nAnswer: -69756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 32*b**2 - 76*b - 48.\nAnswer: -4*(b + 1)*(b + 3)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186907 or 186909?\nAnswer: 186907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 2:43 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*z + m = -10, -5*z - 12 = m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 - (-2 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + -64 + 14 + -18 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 3, w: 5, s: 4, b: 1, v: 4}. What is prob of sequence vvw?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7568, -7574, -7580, -7586, -7592, -7598?\nAnswer: -7604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 6:00 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*g**4 - 54*g**2 + 3*g + 591 wrt g.\nAnswer: -1584*g**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-20))\/((513\/(-18))\/19).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5596223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v + c = 16, -8 = -2*v + c. Let o = 123\/2 - 54. Find the common denominator of (6\/v)\/(1\/25) and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19942 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2183 - -2163. Which is greater: 3\/8 or f?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147 + 75 + 4 - 31)*(2*q**5 + 14*q**4 - 12*q**4 - 32*q**4).\nAnswer: 390*q**5 - 5850*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2\/(-5)*(46\/12 + -3)). Let u = 0.2 - -0.2. What is the third smallest value in u, -0.4, -2, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -0.4. Let w = -3 + 2.8. What is the biggest value in v, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + 2*k - 2. Let t(f) = -f**2 + 1. Determine o(h) - t(h).\nAnswer: -5*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249*p**4*w**2 + 3*p*w**2 + p*w - 33*p wrt p?\nAnswer: 2988*p**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17658349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = q - 8. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -12. Let l = s + 11.8. Which is the nearest to 0.1? (a) l (b) 2\/13 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803.2257ng in tonnes?\nAnswer: 0.0000000000008032257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6783188.\nAnswer: 2, 1695797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/7*((-1044)\/72 - -8) and 86\/132 - (-1)\/(-3).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17512, -35016, -52514, -70006, -87492, -104972?\n\"Answer: 3*j**2 - 17513*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 20, -4*d + 775 = 5*u - 7*d. Let r = u - 168. Let s = 185\/672 + 1\/96. Sort 3\/7, r, s in ascending order.\nAnswer: r, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 48 = -4*o + 1, -5*i - o + 61 = 0. Suppose -4*c + 4*w - 48 = -0*w, 30 = -3*c - 3*w. Let f = c + i. Solve -f*r + 7 = n, 0*n - n = -3*r + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24402 - 127.20602. Round q to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244218 is divided by 81400.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2471462*j + 1118619.\nAnswer: -2471462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 - 0. Let x = o - -2. Let b = 0.5 + -0.4. Is b equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = h + 3*h. Suppose 0 = 4*f + 17 - h. Let b be 1*3*f\/(-3). Put -1, b, -5 in ascending order.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 15?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**3 + 19*m**2 + 14*m. Let s be 24\/2*5\/4. Let g(q) = -35*q**3 - 75*q**2 - 55*q. Let t = 5125 - 5121. Let y(i) = s*u(i) + t*g(i). Factor y(z).\nAnswer: -5*z*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 784 + -789. Let w(b) = b**3 + 4*b**2 - 7*b + 1. Calculate w(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258117 or 258292?\nAnswer: 258117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpa when three letters picked without replacement from {v: 2, m: 1, p: 2, y: 1, a: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 21*y - 21. Let j be 2*355\/30 - (-3)\/9. Calculate the remainder when 101 is divided by w(j).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.148.\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/3 (c) -2\/1841 (d) -0.01 (e) 18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1078, 3678, 6656, 8902, 9306?\nAnswer: 6758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.14456907411 + -1.\nAnswer: -19.14456907411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -211306 or -211611?\nAnswer: -211611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*-3 + sqrt(425))*-1 + sqrt(425) + (sqrt(425)*3)**2 + -4)*-1.\nAnswer: -3821 - 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2. Let x(z) be the second derivative of -2 - 41\/2*z**3 - z + 0*z**2. Determine f(x(y)).\nAnswer: 30258*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 - 21632*t**3\/3 - 115176622*t**2\/3 + 6522891648*t - 272777305563.\nAnswer: -(t - 83)**2*(t + 10899)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6178 is divided by 135.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/117 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7617 + -7348. Solve 2*v - 11 = 5*x, -16 = 273*x - j*x + 2*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**3 + 3*r**2 + r + 2. Let x be g(3). Let o = -118 - x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114072 is divided by 28515.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + 516\/7. Let a = -4.948 - 0.052. What is the second biggest value in c, a, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/3 (b) -0.0091 (c) -552\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*q + 2619 = -174 + 303 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*m**2 + 1097*m**2 - 556*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10021 is divided by 3970?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*c + 1220, -4*m + 2*c = -8*m - 1200. Let h = m + 568. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhzhzhhhhhhhhzhhh.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 55 - 5. Let r be g\/7 + 20\/(-35). Solve -r*q - 2*z = -7, -2*q - 2*z + 5 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 2680?\nAnswer: -1\/1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-14\/5)*f*f)**(1\/54) assuming f is positive.\nAnswer: f**(1\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48.6 in 0.1, -4, -37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(6*(sqrt(1100)*-2 - sqrt(1100)) + 0))**2 - (sqrt(1100) + sqrt(1100) + (1*sqrt(1100))**2 + 5 + (2 + sqrt(1100))**2 + -5)) + 4.\nAnswer: -60*sqrt(11) + 1423400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a - -15?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -77*f**3 - 4 + 78*f**3 - 5*f - 10 - 6*f**2. Let d be u(7). Suppose d*y + 60 = 3*y. What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 + 0.45. Which is the second biggest value? (a) -1\/2 (b) -1\/4 (c) o (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/7))**16 assuming y is positive.\nAnswer: y**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 133 = 31. Suppose -3*d + 0 = -l. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152605098 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -14. Suppose c*k - 2*k - 114 = 0. Let u = -35 + k. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473960*g = 474012*g - 2080 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/783 and 91\/696?\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -14.5. Let l = -0.6 - p. Which is the biggest value? (a) -0.5 (b) l (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13e (base 15) to base 13.\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - -0.1. Let g = -0.11 + c. Let s = g - 0.1015. What is s rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-20))\/((-2)\/60). Let z = 7 + g. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*-1)\/sqrt(12))\/(sqrt(176)*2) - (sqrt(24) - sqrt(864)*-2)\/sqrt(12)*5.\nAnswer: -521*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3922 - -0.4.\nAnswer: 3922.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + a + 4)*(-1 - 1 + 0) - 2*a + 5*a - 5*a)*(4 - 3 - 10).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.75724 grams to micrograms.\nAnswer: 84757240","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjjx when four letters picked without replacement from gjgxjjgjxjgggjjgjj.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4758 - 2321. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30260040 or 30260039?\nAnswer: 30260040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 2*v - 9*f + 52, -2*v - 44 = -f. Let z(n) = -n**3 - 20*n**2 - 2*n - 37. Let h be z(v). Solve -w - b = -5, -12 = -h*b + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 + -352\/3. Let c = l - -3. Solve 8\/3*z - 8\/3 - c*z**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*t = 5 - 4, 5*t = -12*y + 28*y - 9*y - 33 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - w**3 + 3*w**3 - w**3 + 4*w**2 - 3*w**2 to the form c*w + z*w**3 + m + f*w**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 65870 divided by -3\nAnswer: -65870\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -98.9. What is the third biggest value in 1, 2, 1\/5, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/7552 and -37\/21792?\nAnswer: 5142912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let d(m) = 5*m + 4. Let s = -70 + 75. Let n = s - 3. Let o(y) = -y - 1. Let a(z) = n*d(z) + 9*o(z). Calculate a(b(v)).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -705, -1581, -3023, -5313, -8733, -13565, -20091?\n\"Answer: -47*d**3 - d**2 - 544*d - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 378 + 112 = -4*g, 2*i = -g + 515. Suppose 4*q = -3*m - 351, 6*m = -3*q + m - i. Let f = 140 + q. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + 20443?\nAnswer: 20333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 50.2. Let v = m + -24.2000141. Round v to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)*(-3 + -13)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2849, -5745, -8655, -11585, -14541?\nAnswer: -17529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -3, -5, 1637 in increasing order.\nAnswer: -5, -4, -3, 1, 1637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifki when four letters picked without replacement from ffkfqqifivfkv.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 1737*n - 1705*n. Solve -3*x - 2*h = -x - n, 0 = -4*x + h + 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 12 = -0*x - 2*x, x + 3*h + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.3, -2\/9, -0.09.\nAnswer: -2\/9, -0.09, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, j: 5, w: 3, e: 2, m: 2, k: 2}. What is prob of picking 1 e and 2 m?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 4*c - 4, 2*m - 23 = -5*c. Suppose 2*f + 4*v + 5 - 47 = 0, f - 3*v - 16 = 0. What is the highest common divisor of m and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1315151\/6 at most -219191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 5*b**2 - 3*b + 3. Calculate the least common multiple of 20 and v(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-22)\/(w\/w**(-28)))**(-3\/47))**(-46) assuming w is positive.\nAnswer: w**(-7038\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 46.1. Let u = t - -30. Suppose -5*k = -4*k + k. Sort -5, k, -1, u.\nAnswer: -5, -1, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2771 divided by -40.\nAnswer: -2771\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5359 + -5364. Let o(m) = m + 1. Let i be (-2)\/4 + (-2)\/(-4). Suppose -5*x = -i - 10. Let d(q) = 3*q + 3. Give p*o(b) + x*d(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 10 - 6 - 6 + 4*t. What is j(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1958 and 187?\nAnswer: 33286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*o - 2*o, 5*k - 15 = 4*o. Let w = 7 + k. Suppose -5*z = -n - 74, 3*z + 4*n = w*z - 58. Calculate the remainder when 54 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3 - 6162*c**2 - 43335*c + 111294 = 0.\nAnswer: -9, 2, 2061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 122 = -2. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(7) - (sqrt(448) + -2 - sqrt(448))).\nAnswer: 12 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*g**3 - 7*g + 0 - 1\/2*g**5 - 7\/2*g**4 + 19\/2*g**2 = 0. Calculate g.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18814515 is divided by 581.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 12375*z + 61874\/5.\nAnswer: (z - 61874)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/4531, -3, -4, 4\/189?\nAnswer: 2\/4531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/95 in 0, -4, 0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3135 + -537. Suppose 4*o + 3024 + 1311 = 5*b, -3*b = -3*o - p. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 493969461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -1\/27*h**3 - 1\/18*h**2 + 1\/36*h**4 + 8 + 1\/9*h. Suppose x(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, e: 2}. Give prob of picking 2 e and 1 r.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5810 and 21.\nAnswer: 17430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 14 = 3*g. Suppose 0*w = 8*w - 16. Calculate the greatest common divisor of g and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*m**3 - 1195 + 11*m**2 + 3*m**3 - 33*m**3 - 34*m**3 + 2*m - 20*m**3 wrt m.\nAnswer: -126*m**2 + 22*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - 60. Let l(g) = -266*g - 77. Let s(z) be the third derivative of -7*z**4\/24 - z**3\/3 - 8349*z**2. Calculate b*s(i) + 2*l(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471150.\nAnswer: 2, 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g - 3*g + 7 + 0*g - g**3 - 5*g**2. Let a be r(-5). Suppose -4*f + 0*f = 4*w - 16, -a*w = -4*f + 16. Solve -2 = -w*z + 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 886 and 0.0766.\nAnswer: 886.0766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 8. Let s(p) be the first derivative of -p + 4. Give 6*s(n) + t(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8423030287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 432501*u**3 - 26*u**2 - 22*u + 23 wrt u.\nAnswer: 2595006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*r - 378, -s = -1710*r + 1711*r - 378. Calculate the lowest common multiple of s and 252.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 2*x - 8*x)*(-13*x**3 + 157*x**3 - 13*x**3) to the form y*x**3 + j*x**4 + g*x**2 + b + u*x and give j.\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j - 4*g, 0 = -4*j + 4*g - 3*g. Which is the closest to -2? (a) 3 (b) j (c) -38 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00241967 rounded to five dps?\nAnswer: -0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40360 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**0\/s*s)*s))\/(s\/(s*s\/s**(-6\/7))))\/(s**1)**(2\/17) assuming s is positive.\nAnswer: s**(88\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -16*b**5\/5 + b**4\/4 - 59*b**2 - 67. What is the second derivative of y(w) wrt w?\nAnswer: -192*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/97612 and 95\/4?\nAnswer: 97612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 7*f = 4*g + 252, 5*f + 2*g - 264 = 0. Suppose -35*v + f*v = -153. Let z(j) = j**2 + 8*j - 2. What is z(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4592947401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193452 is divided by 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -5\/4, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:14 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 5*d + 7. Let o(l) = -3*l**2 + 5*l - 8. Let x(g) = 3*o(g) + 4*w(g). What are the prime factors of x(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 271540269 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:49 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*k = 44, 5*k + 14 = u - 8. Suppose u*j - 709 = 35. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 29. Suppose -3*c = 26 + 1. Let k be l(c). Which is smaller: k or 11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:21 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 3*o - 251 - 2*o - 406.\nAnswer: 2*o - 657","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.62259?\nAnswer: 2.49036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112021 (base 3) to base 6.\nAnswer: -1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 2*p**2 - 4*p**2. Let u(y) = y**2 + 2*y - 1. Let i(f) = -2*f**2 - 6*f + 3. Let g(q) = -i(q) - 3*u(q). Give x(g(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let h be t(4). Let g(d) = -d**2 + 5*d - 2. Let j be g(h). Let y = j + -3. Is y less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/6 - h**2 - h. Suppose 2*u - 5*i = 19, 4*u - 4*i = 6 + 14. What is l(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 10*j**4 - 10705*j**3\/2 + 127935*j**2\/2 + 104665*j\/2 - 33995\/2 = 0.\nAnswer: -1, 1\/4, 13, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3446405 + 3?\nAnswer: 3446408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -4 - 18\/7*q + 6\/7*q**2 - 2\/21*q**3. Let r(v) = 0. Calculate v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8025, -51227, -168491, -396849, -773333, -1334975?\n\"Answer: -6172*q**3 + q**2 - q - 1853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 3:18 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2 = -2. Let j = -2 - -1. List the prime factors of j - 1 - (n + -13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from yylltulpltuynlplttpp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73182 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 36 = -2*v. Let f(c) = 5*c - 15. Let m(d) = -10*d + 31. Let h(u) = -7*f(u) - 3*m(u). Calculate the remainder when h(v) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 6*u**3 + 166079*u - 82680*u - 83399*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 127*i - 4*i**2 - 8*i**2 - 9 + 0*i**3 - 115*i + i**3. Let r be m(11). Let n(q) = 6*q**3 - 4*q**3 + q**3 - 6 - 6*q**r - 2*q**3. Determine n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23315 is divided by 5801.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1037, 1029, 1017, 1001?\n\"Answer: -2*a**2 - 2*a + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -4, 12 in increasing order.\nAnswer: -4, 3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.6 and -83?\nAnswer: -2622.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 451.1978 + -449.3978028. Let b = -217.2 - -219. Let r = b - g. Round r to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 29, -39, -155, -331, -579?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:20 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/10 and -173\/515280.\nAnswer: 515280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + 3*sqrt(1100))**2*4.\nAnswer: -158544 - 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/2 (b) 4 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 18 + 0*w**3 + 0*w**2 + 1\/10*w**4 + 0*w. Suppose b(k) = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, z: 7, c: 2, f: 3}. What is prob of picking 2 k and 2 z?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -62. Which is the third biggest value? (a) -4 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257664 by -48.\nAnswer: 5368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1*(-26)\/(-65)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxzcfoqxo. What is prob of picking 2 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 + -113. Let c(q) = 12*q - 12. Let l(u) = -2*u - 8. Let g(i) = i + 5. Let d(t) = 5*g(t) + 3*l(t). Give n*d(w) + c(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11512 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-46)\/6)\/((-232)\/(-2784))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 40*z**2 + 95*z - 46. What is b(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -71563 - 5343?\nAnswer: -77126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617, -2473, -5477, -9563, -14665, -20717, -27653, -35407?\nAnswer: -43913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*m + 36*m + 25 - 25 - 85*m)*(-4*m**4 - 2*m**4 - 7*m**4).\nAnswer: 1131*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5*p + 15, 0*l - 4 = -2*l + 3*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o + 2*o + (-2 + 0 + 4)*(1 - 1 - o) + 4*o + o - 4*o)*(-1 + 3 - 3).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31057 and 90.\nAnswer: -2795130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*d + 33417 = 33617. Let -5*l**3 - 25*l - 5\/4*l**d + 35\/4 + 45\/2*l**2 = 0. Calculate l.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from {n: 2, a: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**5 - 5416628*u**4 - 5416632*u**3 = 0.\nAnswer: -1, 0, 1354158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*a + 104*a + 72 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/17))**(-20)\/(x**(-14)\/(x**10*x)) assuming x is positive.\nAnswer: x**(465\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 3 + 14*p**2 + 0*p**2 - 4 + 0*p**2. Let l be 4\/5*(-10)\/(-4). Does 19 divide r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2502 + -2494. Solve 2*a + 5*y + z = 0, -5*y = -5*a - 0*y - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 30. What is the units digit of ((-9)\/(-27))\/(m\/129)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 4) + (-18 - (-20 - -12 - -2)) + -80?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (-62 + 67).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/329)\/(12\/(-147)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**6\/480 - d**5\/240 + d**4\/24 + d**3\/6 - 5*d**2. Factor n(g).\nAnswer: -(g - 2)*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 12*v - 14.\nAnswer: 2*(v - 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 18*i**2 + 19*i - 17. Calculate o(-19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*c + 17. Suppose 8*i - 3*i = -4*d - 2765, 1632 = -3*i + c*d. Let n = 803 + i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -98, -70, -26, 28, 86, 142, 190?\n\"Answer: -p**3 + 14*p**2 - 7*p - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 2. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -109, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 + -39. What is the derivative of 5 + 9 - w*q - 5 + 32 wrt q?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-490)*966\/(-1242)*1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10287719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332503?\nAnswer: 1332503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*w - 15*w - 5, 0 = 5*s - 5*w - 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4302*c + 74456 = -168574 - 58110 for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/5, -39, -0.63, 3, 1\/6, 46, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8683 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 15. Let h be l(-10). Suppose -h*w - 5743 + 21283 = 0. Suppose 4*m - 908 = -w. What is m rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 443171017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 + -5 + 1). Let v(d) = 7*d - 62. Let a be v(9). Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 37*c + 32. Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/((-161)\/(-14)) + (4 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 + 20*c + 20 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -1, -1\/46, -2721?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14483192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197.6 + -203.6. Sort 11, a, -0.12 in decreasing order.\nAnswer: 11, -0.12, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*d = -167*d - 672 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1105572, 1105627, 1105756, 1105989, 1106356, 1106887, 1107612?\n\"Answer: 5*p**3 + 7*p**2 - p + 1105561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 7. Let v be h(6). Let s be v*2*3\/(-6). Suppose y + 2*y - n - 26 = 0, -s*n = -5*y + 30. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 143 + 415. Let q be f\/22 - (7 - (-79)\/(-11)). Solve 6*o + 3 = q*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853485539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 447*c - 62. Let n be i(7). Suppose 5*s = d + 3063, -5*s + 11*d = 12*d - n. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by -5 + 5 + 5 - (4 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 439314, 439326, 439338?\n\"Answer: 12*l + 439302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Let w be (-4 + 1)*(-170)\/3. Suppose -o*x = -x - w. What is x rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33021, -28191, -15079, 10455, 52551, 115349?\nAnswer: 202989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176730033 and 1884?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/3)\/h*h*h*h**(1\/5)\/h)\/(h**(-6)\/h*h**0*h))**19 assuming h is positive.\nAnswer: h**(1387\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6, 4*q + o = -3*o + 276. Let m = -65 + q. Let l = -3 + -1. Put m, 4, l in decreasing order.\nAnswer: 4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/10 (b) -12 (c) -16 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 375?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 35783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Suppose 2*y - 35 = -r*y. What is the remainder when (-10)\/4*24\/(-5) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -59. Suppose 2*k + 4 - 8 = h. Suppose -3*l = -4*c - 22, 2*l - 8 = -2*c + 3*c. Calculate the remainder when l is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s - 31 - 65 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, -472399 in ascending order.\nAnswer: -472399, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8858993, 8858992, 8858985, 8858972, 8858953, 8858928?\n\"Answer: -3*h**2 + 8*h + 8858988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41 (b) -0.3 (c) 0.03 (d) 1\/4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48840 (base 9) in base 11?\nAnswer: 22682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + l**2 - l - 1. Let o = 1 + -2. Let p(y) = -9*y**2 + 12*y. Let g(b) = o*u(b) - p(b). Is g(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 10:31 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8150551 - -1?\nAnswer: 8150552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 5\/3*d**3 + 1\/15*d**6 + 0*d**4 + 0*d**5 - d - 24*d**2 + 31. Find the first derivative of i(y) wrt y.\nAnswer: 8*y**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11 - 77*m + 187 - 198. Let a(d) = d - d - d**2. Calculate b(a(k)).\nAnswer: 77*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 2. Let d be 57\/6 + x\/(-2). Is d <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Let l(m) = 21*m**2 - 11*m - 11. Let p(u) = -u + 2*u - 4*u**2 + u + 2. Suppose 3*s - 8*s = 55. Let q(c) = s*p(c) - 2*l(c). Give b(q(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o - 8\/9*o**2 + 8\/9*o**3 - 2\/9*o**4 + 0.\nAnswer: -2*o**2*(o - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4) + -1)\/((-319)\/116)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 7*l**2 + 4*l**2)*(-3 + 0 + 5) - 9 - 4*l**2 + 9 - 14 + 14 - 12*l**2 + (3*l - l - 3*l)*(2*l - l + 0*l).\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 4*k - 10. Let l = 23 + -2. Calculate the remainder when i(5) is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 12:16 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 1. Let l(g) = g**2 - 19*g + 3. Let q = 102 - 103. Let t(n) = q*l(n) + 3*b(n). Let z(j) = -2*j. Give z(t(u)).\nAnswer: -4*u**2 - 38*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*k**4 - 7*k**5 - 17*k**4 + (-2 + 0 + 6)*(4 + 0 - 2)*(k**5 + k**5 + k**5).\nAnswer: 17*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2448 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyq when three letters picked without replacement from {c: 1, q: 3, y: 5, v: 7}?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -58*b - 200. What is the hundreds digit of y(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2\/7, -0.1, -1\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m**2*t**3 + m**2*t + 3598*m*t**3 - 6*m*t + 84219*m - 95*t**2 - 1 wrt t.\nAnswer: -42*m**2*t + 21588*m*t - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-65) - 31999999\/(-5). Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/60 - o**4\/24 - o**3\/6 + o**2\/2 - 3*o. Let v(z) be the first derivative of x(z). Calculate v(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -815 in -5, 5, -3.28, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -5.4. Which is the second biggest value? (a) 0 (b) -8\/7 (c) -0.2 (d) r (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -482 - -486. Solve -4*a + 12 = b*o, -a - 12 = -o - o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1397774, 2795545, 4193316, 5591087, 6988858, 8386629?\nAnswer: 9784400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1336 and -1334 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3 + 6 + 1 + 0 - m. Let h be n(5). Suppose -2*w - h*j = 58225, -2*w = 4*j - 0*j + 58220. Round w to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + k**3 - 2*k**2 + k**2 + 0*k**2 - 5*k**4 + 3*k**4 to m*k**3 + b*k**4 + r + n*k**2 + w*k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64515?\nAnswer: 3, 5, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12190*-17438.\nAnswer: 212569220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 2:57 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 142 + 28. Let j = -73 + k. Solve -j*w = -7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020210001221 + -1000?\nAnswer: -10020210002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/(-6)*(-28)\/35. Let b(u) = u**3 + 4*u**2 + u - 1. Let m be b(-3). Let z(r) = -r + m + 2 - 3. Give z(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = -5*s. Let z = 0.5 - 0.1. What is the closest to 1 in z, s, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616 divided by 4.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5523.7 from 7972.\nAnswer: 13495.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*h - 95 = -4*k, 5*k + 193 = -13*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16211.3 and 0.0416?\nAnswer: -674.39008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -342 + 682. Suppose 2*o - 666 - z = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 1 + 5 - (-49 + (71 - 30)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220434391 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22 + 68)*26\/6. Calculate the highest common divisor of k and 2210.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.281 - 4.281. Let i = 1.99 - -0.01. What is the closest to p in i, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 - 9*i**4 + 12*i**2.\nAnswer: -3*i**2*(i - 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -3. What is the third derivative of 5*d**3 - h*d**3 + 3*d**2 - 4*d**3 - d**3 wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58893?\nAnswer: 3, 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -644 (base 11) to base 14.\nAnswer: -3d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 3. Let x(u) = 2*u + 4. Let y = 258 - 262. Let s(i) = -2*i - 14. Let t be s(6). Let m = t + 29. Determine m*x(l) + y*v(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7648*n - 7648*n + 4 - 30*n**2 - 6.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -4, 0.\nAnswer: -12, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*i**3 + 0 + 174\/11*i**2 + 356\/11*i.\nAnswer: -2*i*(i - 89)*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r - 2. Let y(i) = -i. Let x be (-15)\/(-35) - (-25)\/7. Determine x*y(u) - t(u).\nAnswer: -9*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -7, 21, 3, 15, 0 in decreasing order.\nAnswer: 81, 21, 15, 3, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4340 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4694986 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 15*l**2 - 2*l + 32. Give r(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 388604057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1096 - -1540. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + 38. Suppose -6*w + 140 = g. Sort -12, w, -1.\nAnswer: -12, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -12. Suppose t - c - 6 = 0. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*w**2 + 5*w + 10*w - 15*w in the form d*w**2 + l + f*w and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 105, 414, 929, 1650, 2577, 3710, 5049?\n\"Answer: 103*k**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + z**2 + 3*z - 6. Suppose -4*i = -22 + 2. Suppose 3*n + n + 20 = 0, 0 = -2*f - i*n - 19. List the prime factors of r(f).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 21276461.\nAnswer: 42\/21276461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100010001 + 1100100100?\nAnswer: 101000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153)*-1 - sqrt(153))*1 - sqrt(153)*1*3)\/(sqrt(18)\/(1*sqrt(2) + sqrt(2))*1))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -452, -3632, -12258, -29054, -56744, -98052, -155702, -232418?\n\"Answer: -454*s**3 + s**2 - 5*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3650541*i - 25711251 wrt i.\nAnswer: -3650541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0 - 1\/8*n**4 + 0*n**3 - 3*n**2 + 0*n + 0*n**5 + 0*n**6 + 1\/210*n**7. Find the second derivative of p(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (0\/(-2))\/(1 - -2). Suppose 5*o + 2*f = 6, -o - 5*f = -7*f + n. Solve o = -3*c - 3*j, 0 = c - 4*j + 7*j + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*m - 34*w + 37*w, 3*m = 4*w + 26. Find u, given that 0 + 4\/11*u**m + 0*u + 2\/11*u**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/9 and -10\/5783.\nAnswer: 52047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 122, 184?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - 110. Suppose -3*u + 5*u - 10 = -x*v, -5*v - 3*u = -11. Solve -n = v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, -0.1, 114020, 1\/20?\nAnswer: 114020","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -228 or 116\/33?\nAnswer: 116\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656, 999, 1914, 3677, 6564, 10851, 16814, 24729?\nAnswer: 34872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6458, -12921, -19380, -25835, -32286?\n\"Answer: 2*a**2 - 6469*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (50\/4)\/(75\/180). What is the tens digit of 4\/k + (-855383)\/(-615)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9510160 by -475508.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 8. Suppose 3*t + h - 6 = -h, -3*h = -3*t + 21. Suppose -t*k = -5*r - 19, 0 = -r - 2 + 3. Let b be n(k). Is -4\/5 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 33*l**4 + 3*l**2 - 10*l**3 - 4 + 12*l**3 + 32*l**4 + 1 in the form g*l**4 + f*l**2 + r + z*l**3 + p*l and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225908 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-1 + 0 + 2)*(-14*w + 10 - 10 + 2*w + w - 5*w + (-1 - 3 + 2)*(3*w + 0*w - 4*w) + 0*w - 3*w + 4*w - 4 + 4 - w + 3*w + 1 - 1).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 2*w + w**4 - 3*w**3 - w**4 + w + 15 - 2*w**4 as b*w**2 + n*w + a + d*w**4 + p*w**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6439364\/63, 5, 2?\nAnswer: 6439364\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(6 + 4 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 10) to base 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 52.3 (b) 5 (c) 0.5 (d) 4 (e) 0.3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-105 - -2)\/((-2)\/6). What is the common denominator of (-5)\/(-90)*a - -1 and 8\/(-20) - (-36)\/(-35)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 2 - (86 + -100 - (1 - 21))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - y + 13 = 0, -y + 7 + 2 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 10*w + 19. Let j(s) = 2*s + 18. Let x be j(-13). Let n be l(x). Suppose 7*v = 3*v + 36. What is the greatest common factor of n and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64508, -129250, -193992, -258734, -323476?\n\"Answer: -64742*z + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 4, k: 3, z: 2}. Give prob of picking 1 n, 1 j, and 1 z.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1315920 divided by 2\nAnswer: 657960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*u - 231 = 241 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 - (-2 + 6)) - (27 - 57).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 9*t + 9. Let d be v(8). Let m be 2 + -3 + d + 39. Let u = m + -13. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1152644 divided by -140.\nAnswer: 288161\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98892\/1343 - -540\/79. Let m = t + -17877\/238. What is the common denominator of m and -1\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3\/4 (b) 0 (c) 3 (d) -6553 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*s + 45 = 7*n, -17 = -2*n + 3*s. Calculate the lowest common multiple of n and 114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 48*l - 5. Is s(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(1\/20)*o)\/o))\/o)**(-9)\/(o**(-2)*o*o*o**(-18)*o) assuming o is positive.\nAnswer: o**(349\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(78) + sqrt(78))*-4)\/(sqrt(6) - (sqrt(6) + (sqrt(216)\/sqrt(4))\/sqrt(9) + sqrt(6))).\nAnswer: -2*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 7*g - 22. Let z be o(-7). Let h be (-1)\/2 + (-11)\/z. Let w(n) = n - 2. Determine w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 1. Let i be m(-2). Let h be (-2)\/(-6) - (-246)\/18. Suppose -3*v + 1 + h = 0. Solve -2*w - v*b = -i*w - 8, 0 = 5*w + 2*b + 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 528 by -6.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.39 + 0.01. Let w = 6 - 5.7. Let b = w - 0.3. What is the nearest to b in 0.1, -3\/7, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*8\/48)\/((-2)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-36))\/((-2)\/4*-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 0 = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -0.4 (b) -608241 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(6\/(-3)) - (477 + -508)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4264 (base 15) in base 12?\nAnswer: 8164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose -6*a = -3*a - 66. Suppose s = j + j - a. Solve -6*d + 2 = 3*n - 5*d, 4*n + 3*d - j = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 0*p = 1510. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/(-2)*4\/8. Let p be (-1)\/(-2) - (-22)\/4. Is (-2)\/p - b\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, z: 3}. Give prob of sequence ooo.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32690.\nAnswer: 2, 5, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 - 3*g**3 - g**2 - 8*g**4 + 5*g**4 - 78*g - g**3 + 80*g to the form o + p*g + z*g**3 + k*g**4 + w*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b + 9. Let f(a) = a + 2. Let d be 16\/(-64) + (-14)\/8. Calculate d*j(p) + 9*f(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - o + 1182 = 0, 0 = 3*q + 6*o + 6*o - 1710. Calculate the smallest common multiple of q and 180.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37650254 (base 8) in base 7?\nAnswer: -130630504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -20 + (2 - (4 + -13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 7 + 3)*(-3*j**3 + 3*j**3 + j**3) + 166*j**3 - 11*j**3 + 116*j**3)*(8*j + 6*j - 7*j).\nAnswer: 1883*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5141, -10281, -15423, -20567, -25713, -30861?\nAnswer: -36011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.857336 and -0.49?\nAnswer: 0.42009464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3\/6 + k**2 + k. Let a be m(-4). Let h(g) be the first derivative of g**4\/2 + g**3 + g**2\/2 + g - 24368. Determine h(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 5*p + 2*p + (2*p + 2*p + p)*(3 + 2 - 4))*(25 + 34 + 19) + (-5 + 4 + 0)*(-5*p + 3*p + p).\nAnswer: 235*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3*25\/90)\/(-1))\/((-185)\/74)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = 3*r - 517, 5*j = -4*r + 521. What is the remainder when 30 is divided by j\/9 + (-18)\/81?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/55 and -4\/105.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -3 (c) 0.4 (d) 13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 375 and 0.179.\nAnswer: 67.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -3. Suppose 0*x - 15 = -x - 4*b, -2*b + d = -2*x. Is 1\/((x\/(-341))\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/22 and 38\/(-96)*(3 - (-4)\/(-6)).\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 15*r + 21. Let v(x) = 2*x + 2. Let m be v(7). Let w be t(m). What is the nearest to 0 in w, -2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-17) - (-17 - (-10528)\/476)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -9*k + 124. Suppose -2*b = 3*u + k, -u - 5*b - 15 = 17. Let x be (-5)\/(-3) - u\/21. Solve -x*z - 5 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2. Suppose 5*b + 110 = 5*p, -b - b = -6. Let l(f) = -10*f - p*f + f. Calculate u(l(w)).\nAnswer: 3468*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 - 1497*f**4 - 187497*f**3 - 186003*f**2.\nAnswer: -3*f**2*(f + 1)*(f + 249)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 7. Let r(b) = 3*b - 9. Let a be r(u). Suppose -a = -5*d + 13. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 7) in base 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-3) - (14 + 64\/(-80)). Determine s so that -a + 42\/5*s**2 + 82\/5*s = 0.\nAnswer: -2, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 15 - 17. Let s(q) = -q**2 - 11*q. Let u be s(l). Calculate the highest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, v: 5}. What is prob of sequence ddv?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/m)\/m*m**9*m*m**11\/((m*m*m\/m**(-14)*m)\/m) assuming m is positive.\nAnswer: m**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/10 - (6\/10 + -1). Suppose 5*j + 1 = g*o - 0*j, -o = j - 7. Suppose k - 47 = -2*n, 10 = 2*k - o*k. What is the highest common divisor of n and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256.04 - 251. What is x rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 + 11*t - 99. Let s(c) = c**2 + 2*c - 18. Let n(p) = -2*j(p) + 11*s(p). Let q(u) = -12*u - 2. Calculate n(q(a)).\nAnswer: 144*a**2 + 48*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1596 and 1080.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 21*k - 36. Determine b(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3, -82, -4 in descending order.\nAnswer: 0, -3, -4, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14)\/4*(-10 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20485\/42 + -4393\/7. Is -140 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1546.3 - -1546.7. Which is the closest to 3? (a) k (b) -0.02 (c) -3 (d) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1344)\/(-136) + (-18)\/(-153). What is the second smallest value in 0.3, u, -25, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, -16, -1013?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 243*x**2. Let y(w) = 911429 - 2*w - 911429. Give o(y(z)).\nAnswer: 972*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*(sqrt(243) - (sqrt(243)*-2 + sqrt(243))) + -3)**2 + 2 + 3 + -1)*-1.\nAnswer: -24313 - 540*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 886 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 250\/16 + (-6)\/(-16). Let k(h) = h**3 - 18*h**2 - 23*h + 85. Let t be k(o). Solve 0 = -6*r + 21 + t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55041564 != -55041566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02059 times 0.1?\nAnswer: 0.002059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 6:55 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 2112*v**2 + 166140*v + 80575344.\nAnswer: 3*(v - 426)**2*(v + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747943281.\nAnswer: 3, 233, 118891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2535, -5022, -7457, -9834, -12147, -14390, -16557, -18642?\nAnswer: -20639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1677 - -4215. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 312.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49452397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117111022 is divided by 799?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 279761*p**3 + 471969*p**3 - 2*p.\nAnswer: 751730*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6708.923 nanometers?\nAnswer: 0.006708923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 31\/6230266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186286501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 2, k: 1, h: 1, v: 1, j: 1}. Give prob of picking 1 i, 1 k, 1 h, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0182 - -0.0518. What is the closest to -1\/4 in g, 4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 118 = 5*k, -2*q + 3*k + k + 56 = 0. Suppose -3*i + 1186 = -q. List the prime factors of i.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 36 = 4*c, 2*u + 3*c - 9 = 2*c. What is the remainder when 11 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 11*z**3\/3 + 6*z - 3. Let j(b) = -1. Let l(g) = 2*g**2 + 5. Let m(x) = -20*j(x) - 5*l(x). What is -5*c(p) - 6*m(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/20)\/((-207)\/1725) + 5. Suppose 5*d = -3 - 7. Which is the closest to d? (a) f (b) -32 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -25, 17, -1 in ascending order.\nAnswer: -25, -1, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, s: 4, a: 1, d: 4}. Give prob of picking 1 d, 2 s, and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 7*k**2 - 6*k + 9. Let n be z(6). Let o be (-2)\/n + (-2)\/(-6). Let r = 53 + -52. What is the third biggest value in o, r, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -17 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:48 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (19\/57)\/(1\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81202859\/109487 + 2\/328461. Let z = -735 - l. Factor -z - 5\/3*h**2 - 25\/3*h.\nAnswer: -5*(h + 1)*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:56 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 67*m**2 - 2*m - 59. List the prime factors of h(8).\nAnswer: 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnahttttynaas. Give prob of picking 2 t, 1 y, and 1 n.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, 1.\nAnswer: -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 11*r - 354 = 204 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**6\/720 - c**5\/120 - c**4\/72 - 153*c**2\/2 + 9. Let d(q) be the second derivative of g(q). Solve d(o) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 - n)*(-1 + 1 - n)*(5*n + 5 - 5).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -3\/152713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -1, 0.721, 25?\nAnswer: 0.721","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + 0)) + 21 + -19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 77348.06um?\nAnswer: 77.34806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from eqeeeeeezzewow.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**3\/3 + 5*k**2\/2 - 3*k + 1. Let f be q(-6). Suppose -67 + 10 = -f*p. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2599, 5008, 7417, 9826, 12235, 14644?\nAnswer: 17053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - w**3 - w**5 + (-3*w**4 + 5 - 5)*(-42*w - 105*w + 236*w).\nAnswer: -268*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 3 - 56739*m + 56734*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1238286086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51866 - -89953. Let g = m - 24787. Round g to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.075518 months in centuries?\nAnswer: 0.013396265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + 9*h**2 - 47 + 11*h + 4*h**2 + h**2 - 17*h to b + w*h**2 + r*h and give b.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 1 b when three letters picked without replacement from {l: 3, h: 1, j: 1, s: 3, r: 2, b: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.430001213 + 18.43. Round u to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -121. Let o = y + 68. Which is the closest to o? (a) 11 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4745840 divided by -5.\nAnswer: -949168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-855)\/1824)\/(-15))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1541*r**2 - 178*r - 845. Is 28 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 38 + 7. Determine b, given that 24*b**4 - s*b**2 + 3*b**3 - 7*b**3 - 23*b**5 - 13*b**5 + 3*b**2 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/39)\/(4\/6). Is 0 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/(-4))\/1 + (-1956)\/(-2608). What is the third biggest value in -18, c, -0.2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 11*b**2 + 6*b**2 in the form k + y*b + m*b**2 and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 489564908 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*t + 20. Which is the third smallest value? (a) t (b) 1\/2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-2904)\/10)\/(-12 + 177\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z = 152. Let j(h) = -91*h**2 + 821*h + 3. What is the remainder when z is divided by j(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 6*j - 490. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((4 - 1) + -4)*-5587. Let p = q - -24713. Round p to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/7 - 10630*u**3\/7 - 63612*u**2 - 889784*u - 4150496 = 0. What is u?\nAnswer: -10588, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1944 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 16 = -5*b - 4*l, -3*l + 14 = 4*b. Suppose 4*a + 344 = 4*n, -2*a + 416 = 3*n + b*n. Suppose 7*f - 1064 + n = 0. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2768*b + 13816*b - 2779*b - 2782*b - 2748*b - 2770*b + 2.\nAnswer: -31*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*r + 174, 0 = 2*r - 4*y - 59 - 67. Calculate the smallest common multiple of r and 7.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8 = -4*g, 4*g + b - 8 + 0 = 0. Suppose 4*s = -0*z + g*z + 4, 4*z + 2*s - 22 = 0. Factor -320\/3*h - 2024\/9*h**2 - 98\/9*h**z - 280\/3*h**3 - 128\/9.\nAnswer: -2*(h + 4)**2*(7*h + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -980 - -606. Let t = f + 742. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59220 less than -12003?\nAnswer: -71223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -87. 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: Let p(i) = 10*i - 10. Let a be p(7). Suppose b = 6*b - a. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/1*47702\/(-7259)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) - (2 + sqrt(2057)) - (sqrt(17) - (sqrt(17) + 1 + 1))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 14040.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520 and 1080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4209000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 30*o - 26. Calculate x(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-7 - -5 - 9) - -2) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -39*h. Let z(u) = 2623*u**2. What is d(z(b))?\nAnswer: -102297*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 8 - (4 - (5 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8)*(-10 + 0). Let m(o) = 2*o**2 + 3*o. Let l be m(-2). Let v(k) = -k - 3. Let i be v(-6). Solve b*j = i*d - 25, -3*d + l*j - 2 + 12 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*q**3 - 3*q**3 + 18*q**3)*(-27 - 10 - 2)*(0 + 0 - 2*q).\nAnswer: 2418*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -45521\nAnswer: -1\/45521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(340)\/sqrt(40))\/(sqrt(200)*2) - 1*((sqrt(17) - (sqrt(17) + -1)) + -5)*1*-1)*6)**2.\nAnswer: -36*sqrt(17)\/5 + 230553\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.847 + -13.847. What is the third smallest value in 2, -2, -1, -7\/5, d?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y + 1. Let u(g) = 44*g + 66. Let c(m) = 13*m + 19. Let t(v) = -14*c(v) + 4*u(v). What is 5*q(s) + 2*t(s)?\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 - 25*i - 23. What is p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, -38, -109, -180?\n\"Answer: -71*u + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 4:55 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 534392483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/115 - ((-20)\/(-50))\/(-2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 35 = -25*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q + 18 = 0. Let p be (-6)\/q*-15*(-6)\/10. Find the third derivative of -25*l**5 + 14*l**3 + p*l**2 - 14*l**3 wrt l.\nAnswer: -1500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n - 3. Suppose 618 = 37*g - 159. Calculate the lowest common multiple of p(-3) and g*5\/(-15)*-3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0089 + 0.4709. Let t = 0.088 + d. What is t rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 4 = -z. Let u be (23\/1)\/(0 + -1). Let g = u + z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**34)\/t*t\/(t\/t**(-7\/6)*t)*t*t)\/(((t**(-2\/13)\/t)\/t)\/t)**(-10\/3))**(-2\/7) assuming t is positive.\nAnswer: t**(3407\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 127, 491, 1099, 1951, 3047?\n\"Answer: 122*a**2 - 2*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4596 + -3143. Suppose 8*n - c = 6531. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(0 - 3 + 1)*(-3*y - 2*y**3 + 3*y) to the form g*y**2 + b*y**3 + x*y + n and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 8978096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 12*n**2 + 6*n - 5. Let a be m(0). What is the biggest value in 1, -0.5, 4, 29, a?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -345, -902, -1839, -3162, -4877, -6990?\n\"Answer: -w**3 - 184*w**2 + 2*w - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 1. Let p be ((-4)\/(-60) - 2\/(-6))*-10. Let i be 1 + (-4 - -1 - p). Let x be f(i). Solve 0 = -5*w - 4*l - 7, 2*w + x*l = -l - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v - v)*(4 - 1 - 2)*(4 - 2 - 3) - 5*v + 5*v + 4*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:17 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-7))\/((-2)\/(-7)). Let s = -5 - -9. Find the third derivative of -t*c + 0*c**4 + 2*c + 3*c**s + 4*c**2 wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 591.1 - 49.1. Let f = q - 541.599. What is f rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5139161.\nAnswer: 5139161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13825 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*d - 5 = 4, -d - 5 = 3*a. Let w be 15\/(-10)*2\/a. Solve -w*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/390 + q**4\/78 - q**3\/39 - 4*q**2. Factor n(x).\nAnswer: -2*(x - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/630*-40)\/((-60)\/21*4\/(-10)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-27))\/(4\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4*z - 15, -2*z + 5*w = 8*w + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2*5\/(-2). Let f(d) = -18. Let c(v) = v + 101. Let a(w) = c(w) + 6*f(w). Determine a(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*t + 5658 - 5695 = -15*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 19*n - 27. What is t(18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141384320 a multiple of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 1, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2\/6*-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z = -418627 + 419831 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 1692364961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11602 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m. Let f(u) = 2*u. Let d(x) = 13*f(x) - 6*t(x). Let i(n) be the third derivative of n**5\/30 - n**2. Give d(i(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = a + 4*l, 0 = -2*a - 2*a + 4*l + 420. Let c = -879901\/9 - -97870. Let w = c - a. Sort -0.5, w, 2\/11 in increasing order.\nAnswer: -0.5, 2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2456, 5, -0.02 in ascending order.\nAnswer: -2456, -0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5860*f**2*h*u**2 - 11*f**2*u**2 + f**2*u + 2*f*h*u - 18*f*u**2 + 104*h*u**2 - 2*h*u + 4*u**2 wrt f.\nAnswer: -11720*h*u**2 - 22*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5078309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 - (-3 - -3) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2*m + 2*c**2*t**3 - 4*c*m*t**2 - 34*c*t**3 - 4*m*t**3 - 27*m wrt t?\nAnswer: 12*c**2 - 204*c - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 - 2*c**4 + 0*c**5 + 5*c**5 + (1 + 0 + 1)*(-c**5 - 4*c**2 + 4*c**2).\nAnswer: c**5 - 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and (-41072)\/(-119) - 16\/14?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1474 + -590. What are the prime factors of q?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7088230 + -3?\nAnswer: -7088233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 8*w**2 - 3*w + 1. Does 4 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*m**5 - 2282*m**3*p**2 + 23*m*p**2 + 11*m*p - 29*m - 1 wrt m.\nAnswer: -500*m**3 - 13692*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 681, 0, -23, 2, 46.\nAnswer: -23, -2, 0, 2, 4, 46, 681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 370 + 388 = 0. Suppose -j = -10*z + 5*z + 759, 5*z = 2*j + v. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4879.89 + -4920. What is d rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 30 (c) -75514\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g + 2. Let k = -72 - -81. Let a(l) = -12*l + 9. Let d be (0 + -6)*17\/51. Determine d*a(j) + k*t(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, j: 2, m: 11}. What is prob of picking 2 j and 1 r?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023460*f**3 - 416940*f**3 + 984842*f**3.\nAnswer: 1591362*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41909.8 litres in millilitres?\nAnswer: 41909800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 699 = -972. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*(-5 - -1). Let m be (-11)\/(-1*(-2)\/w). Suppose -4*y - 32 = -2*d, 2*y - 5 = -m. Solve -5*q - d = 5*h, -q + 4*q - 15 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475595659 to the nearest integer?\nAnswer: 21808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 880*l + 96800.\nAnswer: 2*(l - 220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((sqrt(12) + sqrt(192) + sqrt(12))\/sqrt(4)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 + -97. Suppose 0 = -k*a + 126*a + 223. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4) + (-3)\/36.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/4, 2, 5\/13, 0.5, -5, -3\/5 in decreasing order.\nAnswer: 2, 0.5, 5\/13, -3\/5, -9\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6050)*-3 + sqrt(6050))*-3)\/((sqrt(1440) + sqrt(1440)*-4)*4 + sqrt(1440)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/29, -5, 0.0778?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + f**3 - 1 - 9 - 2*f + 11. Let t be (-2)\/(-3) + 20\/6. What is z(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -615\nAnswer: -37\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9967613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 7307946.\nAnswer: 7307949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {f: 2, r: 3, a: 4, o: 1, p: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from kwwukqhwqkhx.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -a011 (base 15) to base 10\nAnswer: -33766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 1. Let y be a(-1). Let i(j) = j**3 - 3*j**2 - 3. Let s be i(4). Let g = s + -10. Solve y = x - 4 + g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-546)\/24)\/(-13)*2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 65\/13 + 33\/(-7). Suppose -3*y = -y - 4. Let 0 + m*s**y + 2\/7*s**4 + 0*s + 4\/7*s**3 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 2*i + i)*(17 - 6 + 10) - 3 + 2*i + 3.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 518018911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3989111.7 hours in weeks?\nAnswer: 23744.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2 + 2*sqrt(76) + (sqrt(76) - (-2 + sqrt(76)*-1))*-5)*-4*-1)**2.\nAnswer: 2048*sqrt(19) + 78080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - v. Let n be (-3 - -5) + (0 - 1). Let c be a(n). What is the second derivative of 2*p + 2*p - p + p**4 + c*p wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*m + 1344 = -304*m. What is the highest common divisor of 1036 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 3*l - 8. Let s(w) be the first derivative of w**2\/2 + 3. Let n be (-2)\/(-6)*-5 + ((-10812)\/(-153) - 70). Determine n*x(r) + 3*s(r).\nAnswer: r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 110 = -12. Let y = u - -65. Solve -s - 15 = y*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 756 and 0.476021.\nAnswer: 359.871876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-9)\/4)*42800\/(-88275).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35605309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11131 - 2?\nAnswer: 11123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10076 divided by -5038\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 24208.57mg?\nAnswer: 0.02420857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 41*z + 1\/12*z**4 + 3\/2*z**2 + 0 + 5\/3*z**3. What is u(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-8 + 9 - -9 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 0.1277942201088.\nAnswer: 0.3277942201088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 0.7. Let f = -4.09 - -0.09. Sort 2\/9, w, f in descending order.\nAnswer: 2\/9, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -9.91. Which is the third biggest value? (a) 3 (b) -5 (c) 2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 r when three letters picked without replacement from shrsrhsssh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 18. Let m(r) = r**3 - 5*r**2 + r - 3. Let i be m(z). Suppose 0 = d + 4*q - 61, -d - 3*q - 40 = -i*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 4 + -7 - (-55 - -58). Let z(w) = -25*w - 224. Give z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.05, 10, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 7*d + 16. What is the least common multiple of t(4) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*a + 19*a - 700. What is the remainder when (3*(-20)\/(-3))\/1 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130.82 - 132. What is y rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 3:02 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c. Let v(a) = -4*a**3 - 5*a**2 - 2*a - 1. Let u be v(-2). Let p(b) = u - 15 - 22*b + 70*b. What is d(p(j))?\nAnswer: 144*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5 + 5*1*sqrt(98))*4)**2.\nAnswer: -33600*sqrt(2) + 237600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:59 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/12)\/(154\/21). What is the closest to -1 in -1\/3, n, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 4*x**2 + 8*x - 7. Let u be d(6). Let n = 300 - u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/2*8\/(-6). Let a = 7 + n. Suppose 2*d = -0 + 8. Solve 12 = d*i, -3*s - 5*i + 21 = -a*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 5:18 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(42)*-2)\/sqrt(6).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55.009197 + -55.034. What is s rounded to four dps?\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 n, and 1 k when three letters picked without replacement from {c: 5, k: 1, w: 1, n: 3, q: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17516508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 609?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 876173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4431003212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 14*x - 3. Let g be a(-7). Let d = -46 + g. Factor 8\/7*z + 4\/7*z**2 + d.\nAnswer: 4*z*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 1 (b) 1\/3 (c) 20.8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0301090382 to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 (base 9) in base 10?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let n(v) = -7*v - 11. What is -n(j) + 4*p(j)?\nAnswer: -j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0)*(-1)\/4. Let v = -77\/120 - -1\/24. Which is the second smallest value? (a) v (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 7:02 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9885 by -5.\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6)\/sqrt(2) - sqrt(3)) + -4.\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.924 - -0.076. Let q = 3.9 + 1.1. Let r = l - q. Which is the nearest to -0.1? (a) 0.2 (b) r (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 4\/3*t**3 + 0*t**2 - t + 6. Is 11 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 37) + (26 - 30 - -10).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 8. Let w be a(-2). Suppose -w*x = -5*x - 1180. What are the prime factors of x?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhgrmrrrr. What is prob of picking 1 r and 1 h?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 182387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 87a2 (base 11) in base 8?\nAnswer: 26527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 l when four letters picked without replacement from qlqqqqlqllqqqqqlqqqq.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 40*l = -9525. Let r = l + -369. Calculate the smallest common multiple of 33 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4190*t. Let g(m) = 7632*m**2. Calculate g(x(d)).\nAnswer: 133988155200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -20. Let b(a) = -4 - 2*a**2 + 0*a**2 + t. Let h(d) = 6*d. What is b(h(v))?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {g: 1, b: 14, f: 2}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2. Let j(v) = 26*v**2 - 54*v**2 + 29*v**2 + 3*v. Let x(o) = 3*o**2 + 8*o - 1. Let q(y) = -8*j(y) + 3*x(y). Calculate 6*p(u) + 4*q(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0158 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5362*z = -5368*z + 168. Solve -51 - 5 = -z*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -5, 1, 0.253?\nAnswer: 0.253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30, -0.48, -0.40324?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 14*c - 7. Let s be o(-13). Solve -2*j + 20 = 2*d - s*d, 0 = -3*j - 3*d - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 31. Let n = p + -13. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1922, 1882, 1816, 1724, 1606, 1462?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffeyydw. Give prob of picking 1 y, 1 e, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.374, -3\/2, 2, 16?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12427862 a multiple of 630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11702*o - 11703*o + 23404*o. Let y(n) = 817*n. Give w(y(t)).\nAnswer: -817*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*k = -7, 4*k + 0 - 4 = 0. Let l be 3\/114*y\/(-3). Is l not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(2 + 4) + 135\/81. What is the second derivative of -2*f**3 + f**3 - 55*f - 6*f**4 - j*f**3 + 2*f**3 wrt f?\nAnswer: -72*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 20*m**2 - 338*m + 7554. Calculate p(21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43713719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 12*r - 27 - 5*r - 16*r + 3*r - r - 2*r + r + 3*r - 2*r + 0*r + (-2*r + 0*r + 0*r)*(0 + 5 - 6) + 0*r + 0*r + 2*r)*(2*r**4 - 2*r**4 - 2*r**4).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 45 (b) -3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**3\/6 - 9*z**2\/2 - 6*z. Let p be y(11). Suppose 3*t = 2*t + p*l + 2281, -4*t + 9145 = -l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1579, -1468, -1355, -1240, -1123, -1004?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/120 - b**5\/12 + b**4\/4 - 2*b**3\/3 + b**2. Suppose 8 = 6*y - 2*y, 0 = -v - y + 6. List the prime factors of m(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65715\/85 - 2*(-4)\/(-68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 1 = 4*x. Suppose x = -4*a + 2*a. Let l = 14 + a. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16621246 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v**2 - 3*v + 2. Suppose 54*t - 5*m + 31 = 56*t, -3*t - 6 = -3*m. Let z be k(t). Calculate the highest common factor of 91 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 79. Let z(d) = -d**3 + d**2 - d + 1. Let x be z(2). Is x\/(y\/(-4))*-993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 1363, 3076, 5483, 8590, 12403?\nAnswer: 16928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17532 + 20?\nAnswer: 17552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142456103 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82819673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184716?\nAnswer: 2, 3, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/116 and (202\/(-14))\/(2\/(-1))?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -0*v. Suppose 5 = -2*k + 17. Let u = -20\/3 + k. Which is the closest to u? (a) 3\/4 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 8. Let g be s(6). Let y(u) = -2*u - 2. Let c be y(-2). Let m be 3\/2*(-32)\/(-12). Solve -m*b = -c*b - g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3*(-2)\/(-8). Let j be 0 + -9 + 18 + (-137)\/(-30)*-2. Which is the nearest to 0.5? (a) -1 (b) -0.3 (c) j (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -661259 - -661263. Let w be 1*(2 - 2)*1. Let v = -1 + w. Which is the third smallest value? (a) -2\/25 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 - 9*t - 10. Let c be q(-1). Suppose -c*s - 250 = -2290. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.2. Let r = 0.51 - 0.11. Let v be -4 + (0\/2)\/3. Which is the closest to m? (a) v (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -4*x - 4*x. Let b(h) be the third derivative of x + 1\/3*h**3 - 1\/6*h**4 + 2*h**2 + 0*h. What is the first derivative of b(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:41 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56986 is divided by 1841.\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10000111101 (base 2) to base 3\nAnswer: -1111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 23 = -p, 71*i - 66*i + 55 = -5*p for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 2:04 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19988989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**3 - 5*s**2 + 8*s + 4. Let f(g) = -g**3 + g. Let x(q) = 5*f(q) - n(q). Let d(z) = z**3 - 7*z**2 + 5*z + 1. Let o be d(6). Does 6 divide x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w + 46. Suppose 0 = -3*a + d - 10 - 1, -4*d + 8 = 0. Calculate the remainder when l(a) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*q - 3. Let n(t) = -t**3 + 11*t**2 - 7*t - 6. Let d be n(10). Let j = 44 - d. Calculate the highest common divisor of j and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 1. Let k(i) = -8 + 2 - i**2 + 2*i + 2*i**2 + 2*i. Let b be k(-5). Give q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 826490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 232490195.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/5 + 42*f\/5 - 9.\nAnswer: 3*(f - 1)*(f + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256, 242, 204, 136, 32, -114, -308, -556?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14573 and 10963?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33184393 and 3971.\nAnswer: 630503467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 4*j - 3. Calculate y(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cia when three letters picked without replacement from babrvcir?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 55522860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 211034?\nAnswer: 1266204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12094, 12061, 12028, 11995?\n\"Answer: -33*i + 12127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03947 - -0.03547. Which is smaller: i or -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 18. What is the third derivative of -57*x**2 - h*x**5 + 10*x**5 + 49*x**2 wrt x?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 563 = -60*l + 79 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 359361308 to the nearest 100000.\nAnswer: 359400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 13590*x - 12442311.\nAnswer: (x - 861)*(x + 14451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4188 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63137184 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 137*y**8\/168 + 38*y**5\/3 - 6*y**2 - 82. Find the third derivative of f(m) wrt m.\nAnswer: 16440*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -76, -155, -254, -367, -488?\n\"Answer: a**3 - 19*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2498 - 2525 = -9*m. Let o(l) be the first derivative of -l**3\/3 + l**2\/2 + 1. Give o(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1069 - -1074. Let a(s) be the third derivative of -1\/3*s**3 + 0*s + 0 - 1\/6*s**4 - 5*s**2 - 1\/30*s**t. What is c in a(c) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:05 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -489 - -489. Let z(f) be the third derivative of -5\/24*f**4 - 4*f**2 + v - 2\/3*f**3 + 0*f. Calculate z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1 - 2 - 11 + 3 - 8*n. Is 24 a factor of h(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64526 + -25?\nAnswer: 64501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 296992 - 296992.624002. Let k = -0.624 - n. Round k to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + (-3 + -7 - -3 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 3*z = -252. Let h = z - -42. Solve -2*t = -10, 2*t = 3*s + 5*t - h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + -2316?\nAnswer: -2277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 12625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 480.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 14)*(2*a + 4*a - 2*a**5 + 4*a**5).\nAnswer: -26*a**5 - 78*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67683 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y + 3. Let i be (19 - 15) + 2*-2. Let q be s(i). Find the second derivative of 13*h + 5*h**3 - 7*h**q + 9*h**3 wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53373, 106114, 158853, 211590, 264325, 317058, 369789?\nAnswer: 422518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13135593 + 13135591.3500246. Let f = 73.65 + -72. Let q = f + g. Round q to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 - 7 = 0. Let n = 20 + -22. Let y be 70\/(-15)*3\/n. Solve -o = q - y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 4*l + 44 = 528, 3*l - 25 = -2*i - 11 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukvzrzzzzzrrzrvzv. What is prob of picking 1 z, 1 v, and 1 k?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2333 + -4?\nAnswer: -2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0301 + -0.0401. Which is the nearest to v? (a) -2\/3 (b) 4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103406*d**3*u**3 + 190*d**3*u - 59*d**2*u - 8168*d*u**2 + 9*d - u**3 - 2*u**2 wrt d?\nAnswer: -620436*u**3 + 1140*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - -37ee4b?\nAnswer: 37ee3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18440 = -16*d + 21*d. Let f = 3331 + d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9709 (b) -3 (c) 2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -123. Let b = u - 60. Calculate the remainder when b is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*f**5 - f**2 + 4*f - 43?\nAnswer: -360*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 14*r - 2. Let v(l) = l. Let h(q) = -g(q) + 8*v(q). Let c(o) = 13*o - 5. Let z be (-561)\/111 - (-1326)\/24531. Determine z*h(k) - 2*c(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*f - b, -5*f - 5*b + 160 = -0*b. Let q = 43 - f. Calculate the greatest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/f**5)\/f*f\/(f*f*f**(-2\/7)))\/(((f**(-2)*f*f)\/f)\/(f*f*f*f*f**4)))\/((f**(-2)\/((f\/f**(-1\/5))\/f))\/(f**(-1)\/f)**(11\/6)) assuming f is positive.\nAnswer: f**(401\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9766771.65 to the nearest ten thousand.\nAnswer: -9770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 11*t. Let b be z(8). Is ((-66)\/8)\/(15\/b) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lleleoq. What is prob of sequence ll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 42*c + 484. Let d be n(-51). Solve 0 = -d*i + 24*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -500 - -919. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**2 - 12*z + 21. Let v = 77 - 64. Suppose 9 = -x + 4*j, -x - v = -0*x - 5*j. Is r(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54898*p - 38347*p + 108420*p.\nAnswer: 124971*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from iiaaaaia?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30299\/1064 - 1019\/38. Find the common denominator of 23\/136 and l.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 24*i + 37. Determine u(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 30934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79107.42 hours in seconds?\nAnswer: 284786712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from dxbxxxbxxtdxxdddbd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 3\/(3\/(-1)). Are 4 and g non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**4\/12 - a**2. Let f(i) = 2*i + 16. Let g(r) = 3. Let d(k) = -2*f(k) + 6*g(k). Give d(m(h)).\nAnswer: 8*h - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((0 - -1) + (1 - 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1. Let r(m) = -173*m - 25. Let h be ((-2)\/1)\/((2 + -1)*-2). Let i(y) = h*r(y) - 5*c(y). Is i(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 13*m - 10. Is v(7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*x - 77 - 327*x + 635*x + 75.\nAnswer: 942*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 411, 416, 147, -498, -1621, -3324?\nAnswer: -5709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 26*s**3 - 12*s**2 + 581*s + 3303. Let o(v) = -42*v**3 + 18*v**2 - 872*v - 4952. Let t(z) = 8*h(z) + 5*o(z). What is m in t(m) = 0?\nAnswer: -8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*f + 29, -3*w + 27 = -2*w - 4*f. Put 3, w, -4, 4 in decreasing order.\nAnswer: w, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002423143 (base 5) in base 13?\nAnswer: -54c896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.7 + 29. Let l = 1.065 + 7.6534. Let o = l + h. What is o rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11489 divided by 21?\nAnswer: 11489\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80305 is divided by 3565?\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwwwwwwnn. Give prob of sequence wnwn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -4\/3*z**2 - 4*z + 59 - 1\/9*z**3. Determine v, given that n(v) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**2 - 3345*r = 0 for r.\nAnswer: 0, 669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 4*h + 2. Let d be m(-2). Suppose -30 = -3*y + 5*j, y + 0 = -d*j - 1. Calculate the smallest common multiple of 7 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 <= 507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, y: 5, b: 7}. What is prob of picking 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1702 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.14 - 5.16. Round a to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6727603.76 take away -11?\nAnswer: -6727592.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27269663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/1600 + 18717\/1600. Let j be 5\/(-4)*3\/(6\/(-272)). Calculate the common denominator of w and j\/44 - (1 - (1 + -1)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 22*m**3 + 1. Let w be c(-1). Let y = w + 33. What is the greatest common factor of 18 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n = -29*n - 54*n + 896 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-230000\nAnswer: -69000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10c (base 16) to base 14\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032245 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 79 (b) 0.3 (c) 2\/11 (d) 36\/7 (e) -1\/4 (f) -2\/31 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*b**3 - 4*a**3*b**2*i**2 - 3*a**3*b*i**2 - 3*a**2*b**4*i + 4*a**2*b**2 + b**3*i**2 + i**2 wrt b?\nAnswer: 12*a**3 - 72*a**2*b*i + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + (80\/(-14) - -2)\/((-106)\/(-371))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*g**3 - 64734 + 64734 - 553*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 998, -99, -1912, -4441, -7686, -11647, -16324?\nAnswer: -21717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 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: Suppose -4*j - 3*l = -11 + 42, 4*j - 2*l + 6 = 0. What is the third smallest value in 0, j, -3\/19, 0.3, -5?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 18. What is the nearest to l in -3\/8, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (298 - 287 - (1 + -16)) + -90\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/13)*z*z)**(-2\/17)\/((z\/(z**(-5\/7)*z))\/z*z**(1\/6)))**44 assuming z is positive.\nAnswer: z**(-27434\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:57 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363 + 394. Suppose -d*a + 68 = 3*a. Solve -14 = a*h - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-1)*1*6. Let z be (115\/(-15))\/((-1)\/l). Let u be (-2)\/11 - z\/77. Solve -3*v + 7 = -2*m, -m - m = -u*v + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -486, 493, 3032, 7911, 15910, 27809, 44388, 66427?\n\"Answer: 130*m**3 + 69*m - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/251136 and 55\/51315456.\nAnswer: 153946368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 21. Let v be j(-11). Find the second derivative of 25*s**5 + 36*s**2 - v*s - 4*s**5 - 36*s**2 wrt s.\nAnswer: 420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 11824206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12095010 divided by 2\nAnswer: -6047505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1019 divided by -10645.\nAnswer: 1019\/10645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.2 (b) 12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 53 + 9*g)*(g - 3 + 5 - 9*g) + (g - 4*g + 2*g)*(-2*g - 4*g + 4*g) - 2*g**2 - 19 + 19.\nAnswer: -72*g**2 + 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14295.5 and -0.54?\nAnswer: 14294.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 272738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**4 + 0*d**4 - 25*d**2 + 48*d**2 wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 - 5. Let y(s) = -3*s. Calculate p(y(k)).\nAnswer: -27*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45 from 30.773611.\nAnswer: -14.226389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26528 is divided by 737.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+26938\nAnswer: 26937.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71068 and 2712972.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let f(d) be the third derivative of d**5\/12 + 12*d**2. Calculate -3*f(r) + 8*z(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11625*o = 8724*o - 316209 for o.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)*a)**(-14)*(a**(2\/7)*a)**2 assuming a is positive.\nAnswer: a**(-129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*b*b**41*b)**(-16\/3) assuming b is positive.\nAnswer: b**(-752\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*v - 2*q - 15, 4*q = 2*v - 10. Let u = v - 7. Is 21\/1 + 0 + u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133 + 10*c + 133)*(0 + 0 + 2*c) + 4*c - 6*c - 693*c**2 + 7*c - 5*c - 2 as j + m*c**2 + a*c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 139*d**6\/120 - 29*d**5\/4 + d**3\/6 - 2*d**2 + 289. What is the third derivative of y(m) wrt m?\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 13*i**2 - 40*i + 21. Calculate q(-9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2\/13 - 201616*w\/13 + 93048 = 0.\nAnswer: 6, 100802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 8, -3*t + 7*t - 2242 = -3*h - 2232 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 306 = -32*x + 3*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 39*x + 5*c = 4230, -c = 4*x - 8478. List the prime factors of x.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110.98 + -113. Let b = 0.4 + 0.4. Let j = f + b. Round j to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298917255.\nAnswer: 3, 5, 7, 13, 218987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q**5 + 0*q + 1\/8*q**4 + q**2 + 0*q**6 + 1\/210*q**7 + 0 + 0*q**3. Find the second derivative of s(z) wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4. Suppose 0*c + 6 = 3*c. Sort c, 1, z.\nAnswer: 1, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637283627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2394805 is divided by 143.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 3*u**2 + 3*u**2 + (3*u**2 - 3*u**2 + 4*u**2)*(-3 + 2 + 3)*(-5 + 3 + 0).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 81. What are the prime factors of 693\/12 - b\/12?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 943632?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -26*y + 119. Solve 2*c - 19 + 8 = -5*r, -3*r - 1 = y*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6972606252 - 6972605435.0002131. Let s = p - 817. Round s to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 5571*d + 61174. Calculate x(-11).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-6*c + 37 - 37 + (-3*c - 2*c + 0*c)*(3 - 2 - 2)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 11*i**2 - 16*i**2 + 8*i**2 - 5*i**2.\nAnswer: -24*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 11:44 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10 - (-36 + 23)) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*d + 6, -5*a + 4*a = -3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -638 - 29.\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 4*a**2 + 2*a**2 + ((0 + 2*a + 0)*(3 - 1 + 0) + 56*a - 15*a - 16*a)*(10*a - 36*a + 8*a).\nAnswer: -524*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 5, e: 1, g: 1, d: 1}. Give prob of sequence gcc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7323557047 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8 = 0, -4*s + 39341 = -5*y + 4369. Let b = y + 300880\/43. Calculate the common denominator of b and -115\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -13 - ((10 - (17 - -2) - -5) + -7)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -8. Let r(z) = -z**3 - 6*z**2 + 5*z - 10. Let c be r(b). Calculate the highest common factor of c and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*s + 79 + 413*s + 3*s**2 - 4*s**2 - 79.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**3 + 7*a**2 + 35*a - 4. Calculate x(-4).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfe. What is prob of sequence efz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3292862 and 10090.\nAnswer: -3282772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 17. Let d be 21\/7 - (1 + z). Suppose d*i - 3*i - 4 = 0. Is i greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k = 4*f + 12, -4*f - 2*k = 42. Is f less than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 106. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 64*v - 174. Let b be x(19). Calculate the greatest common divisor of b and 1215.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1266*m - 22808 + 19303 = -130105 for m.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62fe6 (base 16) to base 13.\nAnswer: -112738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 - 120.9999921. Round p to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4900171429 to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156723, -1, 8 in descending order.\nAnswer: 8, -1, -156723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-352)\/(-28) + 15\/35. Suppose -p*f + 20*f - 5280 = 0. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2667 - 5\nAnswer: 2662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w**2 - 11*w + 5. Calculate h(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2464 and -7\/603584?\nAnswer: 46475968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-42) + 1\/(112\/(-46)). Let d = 270 - 272. Put -0.4, i, -0.09, d in descending order.\nAnswer: -0.09, i, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43741 - 5?\nAnswer: -43746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47800952 by -2252.\nAnswer: -21226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -5\/2*w**2 + 0*w + 2. Let l(s) = -s**2 - 359*s + 359*s. What is f(l(q))?\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*q**2 + 704 - 193*q + 5*q**3 - 3*q**3 - 1103 - q**3 + 529.\nAnswer: (q - 2)*(q - 1)*(q + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64730 * 5\nAnswer: 323650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.235 - -0.035. What is the second smallest value in 0.3, 0.2, o, -4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/10 - d**3 + 4*d. Find the second derivative of l(w) wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328318049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(28) + sqrt(112)\/sqrt(4)) + 5 + (0 + sqrt(28))**2)*1.\nAnswer: -132 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11*j + 0 + 0.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1208 and 59\/2486.\nAnswer: 1501544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 42291545 to the nearest 10000.\nAnswer: 42290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1726055, 3.\nAnswer: 3, 5, 1726055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-3)\/1 - 0. Let w(u) = -4*u + 0*u**j + u**2 - 2*u**2. Suppose -140*t = -138*t - 2, 0 = i - t + 5. Calculate w(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1512\/(-49))\/4 - (-4)\/(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(121)\/(-2*sqrt(11)))**2 + (1 + 2*sqrt(704) - sqrt(704))*-2.\nAnswer: -16*sqrt(11) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41923.51 litres in millilitres?\nAnswer: 41923510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -684*m**2 + 3*m + 183.\nAnswer: -1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a + 5. Let v(m) = -12*m - 16. Let b(c) = -10*i(c) - 3*v(c). Let n = 91 - 93. Give b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50 + 2*l - 11 + 14 + l**2)*(-2 - 2 + 1) to q + k*l + y*l**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3437 = 5*w - 16966, -20 = 4*w. Round b to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 146*l + 45*l - 193*l + 16 = 0, 13 + 8 = -3*a - 3*l - 0*l for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203524 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4572 + -1795. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5150*v - 2322 = -5236*v for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 265*k**2 - 995*k - 735.\nAnswer: -5*(k + 1)*(k + 3)*(k + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3721 and 3599?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 59142736*v - 218616451347856.\nAnswer: -4*(v - 7392842)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15227950*c + 52439485 wrt c?\nAnswer: -15227950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 0)\/((-75)\/10). Let -d*z**4 + 0*z**2 + 2\/5*z**3 + 0*z + 0 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -6 + (-3 - (-6 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14875 by -5085.\nAnswer: 2975\/1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/(-280))\/(14\/5)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-4))\/(2\/(-93220)*-5).\nAnswer: 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5393675 to the power of 1\/2, to the nearest integer?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/1071 and 5\/476.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-28))\/(8*(-68)\/19312) + 20\/(-16)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*k + 57 = -l - 127*k, 6*l = 4*k + 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-20) + (-46)\/(-10). Let d(r) = r**3 + 5*r**2 - 5*r - 5. Let q be 4\/10 - 36\/(-10). Let j(v) = -v**3 - 4*v**2 + 4*v + 4. Determine g*j(k) + q*d(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625240395.\nAnswer: 3, 5, 13, 23, 31, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 89 and -269728076705.\nAnswer: -269728076616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - g + (4 - 4 + g)*(22 - 14 - 13) + 0*g + 2*g - g + (3*g - 3*g - 2*g)*(-3 + 0 + 1) - 2*g - 1 + 1.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 3*i**2 + 2*i + 2. Let j be c(2). Suppose -j*x - 2 + 12 = 0. What is the third derivative of 0*w**5 + 11*w**2 + w**x + w**5 - 9*w**2 wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 + 2*b**2 + 2*b - 4. Let j(v) = -33*v + 749. Calculate the remainder when t(-3) is divided by j(22).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**7\/14 + v**6\/30 + 69*v**5\/20 + 2*v**4\/3 + 9*v**3\/2 + 3*v**2\/2 - v + 988. What is the third derivative of r(u) wrt u?\nAnswer: 180*u**2 + 24*u + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(99) + -2 - 5*(sqrt(99) + -1)*3)*5)**2.\nAnswer: -27300*sqrt(11) + 489325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407984982 to the power of 1\/2, to the nearest integer?\nAnswer: 58378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 14*t**2 - 54*t - 35. Determine d(-10).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -67. Let f be (1 + 4)*n\/15. Suppose f*q = q + 8029. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4 - 14055*y**3 - 7976415*y**2 + 610858675*y - 10998834000 = 0.\nAnswer: -1969, -912, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -4253716 and -4253716 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11253 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -321 divided by -118\nAnswer: 321\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3093 is divided by 394.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((456\/10)\/(-3))\/(((-14418)\/405)\/(-89)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 6*h + 5. Let l(w) = -3*w**2 + 5*w - 35. Let k(q) = 2*q**2 - 3*q + 22. Let b(a) = 8*k(a) + 5*l(a). Calculate -5*b(u) + f(u).\nAnswer: -4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001110101110000111 - 11?\nAnswer: 11111001110101110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 494498874 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 + 10 - 3\/1. Let a(f) = -9*f - 3 + 16*f + y*f + 15*f. Let v be a(2). What is the greatest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 8. Let n be y(2). Suppose -7*r = -4*r + 48. What is the tens digit of r*(-3 + 2) + n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 9 = 126*o - 121*o, 5*o = -3*p + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*o - 6*o. What are the prime factors of (-6 - 16)\/(1\/o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*j + 167. Let a = 73 - j. What is the remainder when a is divided by 3 - 2 - 9*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16411658 or 16411659?\nAnswer: 16411658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3 = -9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -110000010101000000010111100?\nAnswer: 110000010101000000010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**2)\/u)\/(u**1*u))**(-19)\/(((u\/u**(2\/3))\/u)**(-1\/21)*(u*(u*u\/(u*u**(2\/7)))\/u)\/u**(3\/5)) assuming u is positive.\nAnswer: u**(23894\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 28*d**2 - 12. Let z(u) = 11*u**2 - 5. Let k(g) = 5*b(g) - 12*z(g). Let v(x) = x. Let y(p) = 2*p. Let a(c) = 11*v(c) - 4*y(c). Give a(k(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5891640 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -744833, -744801, -744737, -744641, -744513, -744353?\nAnswer: -744161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.183645 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13823a8 (base 11) to base 13.\nAnswer: 652022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 4. Let o be k(2). Suppose -25 = -o*w - 5*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196\/9, -2\/3, 1\/4, 0.1 in ascending order.\nAnswer: -196\/9, -2\/3, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let n(o) be the first derivative of o + 0*o**4 + 0*o**3 - 2 + 0*o**p + 1\/5*o**5. Differentiate n(d) wrt d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -1. What is the closest to 2 in 0, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 497.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 2154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 + -3 + 10 - (450 - 459)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 2 + 2*q**2 - 5*q**3 + q**4 - q**2 - q**2 in the form s + b*q**3 + t*q**4 + g*q + z*q**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 10*m**2 + 34*m + 279. Let x be g(-6). Solve 5*f - x*d - 19 = -2, 5*f + d - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4830 by 15.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 140725524 divided by 46908508\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 53*u**3\/6 + 3*u + 235. Let c(f) = -24*f. What is s(c(v))?\nAnswer: -1272*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 11:55 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wssswiws. Give prob of sequence ss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + 3*k + (-3*k + 2*k - k)*(5 - 8 - 17))*(3*k**2 - 4*k**2 - 4*k**2).\nAnswer: -205*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 670367100 to the nearest one million.\nAnswer: 670000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*h*u**3 + 9*g*h*u**2 + 25*g*h*u + 2*g*h + 15*g*u - 2*h*u + 5*h + 102*u**3 - 2*u wrt u.\nAnswer: 6*g*h*u + 18*g*h + 612*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 - 4*y**3\/3 - 13*y**2\/2 + 4*y - 2554. Calculate z(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlq when three letters picked without replacement from {q: 4, u: 1, d: 3, l: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800.7417mm to nanometers.\nAnswer: 800741700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -35 + 7. Let m(h) = h**2 - 15*h + 16. Let g be m(j). Suppose g*v - 178 = 4*p, 3*v - 2*p = p + 255. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-1 - -8))*-48. Suppose 13*f - u = 4*f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116755 = 5*u + 4*x - x, -116790 = 5*u - 4*x. Is (u\/(-12))\/((-21)\/(-126)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 69*m - 39. Let d be o(3). Suppose 57 = 15*n - d. Calculate the remainder when 51 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229*p**3 + 90647*p**2 - 57370480*p - 2.\nAnswer: -1374*p + 181294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -15\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -14*g**3 + 11*g**2 + 11*g + 11. Let n(h) = -3*h**3 + 2*h**2 + 2*h + 2. Give 11*n(r) - 2*y(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = o + 11. Suppose -8*g = -o + 8. Suppose n - 105 + 0 = g. Calculate the highest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75983824 to the nearest one million.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2 + 15*b**4 + 21*b**3 + 3*b**5 - 4*b**2 + 7*b**2.\nAnswer: 3*b**2*(b + 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 9*n**2 - 15*n - 7. Let i be b(-7). Suppose i = -7*k - 108 - 417. Let j = 172 + k. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 1\/6*g**3 + 3*g - 1\/2*g**2 - 1\/2*g**4 - 1\/20*g**5 - 18. Determine j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkqqqkqkkqkqqqkkqkq. Give prob of picking 2 k.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/23)\/x)\/(x\/x**(-3\/10)*x))\/((x\/(x\/(x\/x**34)))\/(x\/(x*x**(-4\/5)))) assuming x is positive.\nAnswer: x**(1411\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-561) - (-8)\/(-22).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*q = 5*q - 44, 0 = 4*c - 4*q - 72. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 20*x + 253. Let i be w(-12). Solve -11*g + 2 = -i*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162826 is divided by 1552?\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 109 in decreasing order.\nAnswer: 109, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3493 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 6:33 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 20*t = -2*n + 40, -12 = -t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -423, -908, -1545, -2310, -3179, -4128, -5133?\nAnswer: -6170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, 2\/3, 1, 15\/47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 2*f + 5. Let g(x) = 5*x**2 - 2*x - 4. Determine -5*g(u) - 4*p(u).\nAnswer: -13*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -375, -61 in descending order.\nAnswer: 3, -2, -61, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269*j**2 - 362*j**2 + 200*j**2)*(3 + j - 1 + 2*j).\nAnswer: 321*j**3 + 214*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -64*y**5\/5 - 736*y**4\/5 + 1916*y**3\/5 + 8156*y**2\/5 - 1760*y - 25168\/5 = 0.\nAnswer: -13, -2, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 163898218 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (17880\/(-80))\/((-54)\/(-2)) and ((-36)\/(-10))\/(44\/25).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c4817 (base 13) to base 2.\nAnswer: -1010110001001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by -2043251?\nAnswer: -157\/2043251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evvs when four letters picked without replacement from bsssvssseveebsessb?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 14656235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 7128 = 7260 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8925 and 350?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175, -140, -105?\n\"Answer: 35*r - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -572, -1137, -1708, -2291, -2892?\n\"Answer: -w**3 + 3*w**2 - 567*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 77 + 29. Let q be ((-3270)\/56)\/(b\/32). Let n = q + 156. Which is greater: -11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*y**4 + 70*y**2 + 2 - 5*y**4 + 2*y**4 + 8*y**6 + 5*y**4 - 3*y**6 wrt y?\nAnswer: 600*y**3 + 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let t(l) = l**3 + 4*l + 2. Suppose -4290*f = -4287*f + 12. What is f*h(s) + t(s)?\nAnswer: s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*a - 17575 = -181*a. What is the greatest common divisor of 325 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*x + 135*x + 1 + 127*x + 123*x.\nAnswer: 43*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 29*s + 25. Give l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/((-168)\/196*7)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4, -17\/3, 5, 29.6?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 237*g**2 - 6*g - 5 - 232*g**2 - 2. Let f(u) = 3*u**2 - 3*u - 4. Let q(z) = -4*a(z) + 7*f(z). Give q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 51 + 2*h - 32.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 11)*(-14*m + 2*m - 16*m)*(-4 + 3 + 2)*(-2*m**2 - m**4 + 2*m**2) - 2*m**5 + 1 - 1 + (4 - 4 + m**4)*(0 + 0 - 2*m).\nAnswer: 416*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1051120*k**2 + 6306715*k - 30.\nAnswer: 5*(k + 6)*(210224*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 + (15\/(-3) - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 969.497 and -3013.\nAnswer: -2043.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.9 - 28.9. Let b = 4 + g. Put -2\/15, 5, b, 1\/4 in increasing order.\nAnswer: b, -2\/15, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2809*a + 143856 - 34305 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22233 is divided by 3077?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 213214547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018672 to 6 dps.\nAnswer: -0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(28)*-2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**7\/840 + s**6\/30 - 13*s**5\/120 + s**4\/12 + 124*s**3\/3 + 70. Let a(w) be the third derivative of b(w). Determine a(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 14 = 2*w. Let j = 70 - 106. What is the remainder when w is divided by ((-12)\/(-7))\/(j\/(-126))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 240*z. Let k(n) = -28*n. What is k(j(v))?\nAnswer: -6720*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 9 - 6 + (5 + 40 + 23)*(-1 + 0 + 0))*(4*q + 0*q - 2*q - q + 3 - 3 + (-q - q + 3*q)*(0 + 1 - 3)).\nAnswer: 58*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 83?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**4\/4 - 3*n**3 + 7*n**2 + 4*n + 10. Calculate the remainder when i(-11) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Suppose -4*q + a = -2. Let d be (339*q)\/(12\/(-40)). What is d rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1696*d + 159949 = 1346*d - 2361*d for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d)**(-2\/13)\/(d**(2\/7))**(-2\/27)*((d**(-2\/11)*d)\/d*d**7)**(6\/25) assuming d is positive.\nAnswer: d**(79201\/54054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 27 + 12 = -5*z, 0 = -4*z - 3*y + 1. Suppose z*q + 118 = o, o - 4*o + 3*q = -381. Suppose 4*b - o = 10. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-34)\/(g**15*g) assuming g is positive.\nAnswer: g**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -52*x + 68*x. Let v(o) = -o**2 - 3*o + 3. Let t be v(-3). Solve -x = -a + t*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 2*f. Let z be l(-2). Suppose 0 = -4*b + 2*x - 20, z = 4*b - 5*x - 2 + 10. Let m be (b + 5)*(-5 + -2). Solve -m = 4*p - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32317 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 18*d + 34830*d**3 + 34826*d**3 - 69653*d**3 + 7*d**4 to the form h*d**4 + q*d**2 + v + p*d**3 + w*d and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-20))\/(0 + 6\/75). Sort j, 0, -5, 3.\nAnswer: j, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, n: 2, v: 1}. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (4 + 4 + -4 + 4 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 9:23 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**3 + 6*s**2 + 7. Let g(y) = 8*y**3 + 5*y**2 + 8. Let a(o) = 6*g(o) - 5*l(o). Find the first derivative of a(w) wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b + 3?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002683 rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 76*c**2 + 5*c - 371. Determine y(76).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 5*q - 9. Let r(p) = 31*p**2 + 2*p + 11. Let m(g) = -145*g**2 - 10*g - 53. Let j(s) = 3*m(s) + 14*r(s). Calculate 5*j(w) - 2*n(w).\nAnswer: -w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -1 + 0 + -171 + 282 + -184.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.85961761 to two decimal places.\nAnswer: 1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5 - 520*x**4 + x**3 - 9*x**2 + 434?\nAnswer: 60*x**2 - 12480*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 263 = 5002. List the prime factors of z.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 32470*i + 227296. Calculate p(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 807640051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13220465730 - -0.14\nAnswer: 13220465730.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 22?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 128154.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 250524 (base 7) to base 15\nAnswer: d8dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 909550 less than or equal to 909556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -39\/17, -1.85, -2, 2\/25 in descending order.\nAnswer: 2\/25, -1.85, -2, -39\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2762 = 5*h + 397. Sort -5, -4, 2, 1, h in decreasing order.\nAnswer: h, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*((-164)\/20)\/(60\/600)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2518 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145187850.\nAnswer: 2, 3, 5, 967919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(1\/10)*y\/(y*y\/(y*y*y*y*y*y*y*(y*y**(-1))\/y*y))*(y**10*y)\/y**(5\/2) assuming y is positive.\nAnswer: y**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -956983, -1912635, -2868299, -3823981, -4779687, -5735423, -6691195?\nAnswer: -7647009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14301.1091 * 5\nAnswer: -71505.5455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-20)\/6)*19 + (-308)\/(-231)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8339, -33395, -75165, -133649, -208847, -300759?\nAnswer: -409385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84060065009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a7 - -373?\nAnswer: 43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3554 + 3573. Solve -11*z + 36 + n = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3887863066100 and 4.\nAnswer: -3887863066096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 12. What is the second derivative of -5*b + u*b + b**3 + 3*b wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**(-8\/11)\/(f**1\/f)**23*(f\/(((f\/(f*f**2))\/f)\/f))**(-3\/31)\/(f**0\/(f\/f**0)) assuming f is positive.\nAnswer: f**(2080\/3069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 - -95. Suppose -90 = 5*m - 10*m + 2*y, r*m - 36 = y. Calculate the common denominator of 137\/6 and 115\/m*33\/22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 - 7*s**2 + 7. Let b(q) = q**3 - 2*q**2 + 2. Calculate -14*b(z) + 4*o(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -277.71451978 and 7.\nAnswer: -270.71451978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 21 - (6 - (-17 - (22 + -65)) - -31)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/(6\/(-21))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(17\/6)\/(h**(-1\/4))**(-2) assuming h is positive.\nAnswer: h**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(1 - 3 + 4)*(108*s + 11*s + 67*s).\nAnswer: 372*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 27 = -2*s + 2*d, s + 4*d = 6. Does 19 divide -4 - (17 + s)*29\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2646, -2653, -2660, -2667?\nAnswer: -2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 - -3. Let h be 3\/5 + -2 + 1. Let r be (-22)\/28 + 2\/7. What is the closest to h in r, 3, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6048.8 rounded to the nearest ten?\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16432531 (base 7) to base 4.\nAnswer: -12013303111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 8:24 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - -1ee?\nAnswer: 1cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20010 + -20007. Solve 11*b - 5*f - 40 = 8*b, h*f = 5*b - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*f**3*g*p**2 + 2*f**3*p**2 + 2*f*g*p**2 - 2*f*g + 8*f*p**2 - 12*p wrt f.\nAnswer: 204*f*g*p**2 + 12*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w. Let x(h) = -15*h**2 - 23*h + 7. Let j(z) = -3*l(z) + x(z). Let t(r) = 7*r**2 + r - 3. Give -3*j(f) - 7*t(f).\nAnswer: -4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 plus -1939?\nAnswer: -1766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.6 + -15. Let c = d - -1. Let x be 4 - (78\/21 - 0). What is the closest to 0 in -0.1, x, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 9*q**2 + 11*q. Suppose -3*v + 29 = 3*r + 2*v, -5*r - 2*v + 42 = 0. Calculate the lowest common multiple of c(r) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 4*c + 6*r - 18, -5*r - 6 = 3*c. Suppose 2*g + 4 = -5*f - g, 0 = -c*f + 3*g - 12. What is the nearest to -1 in -1\/6, f, 3, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 97329*o + 875921. Calculate n(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + 1*sqrt(104)*5 - sqrt(104)) + -2*sqrt(104)*2)\/((sqrt(968) - (sqrt(968) + sqrt(968) + sqrt(968)*-2)) + -6*1*sqrt(8)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y + 10. Give f(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.069*-0.1745418\nAnswer: 0.0120433842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 213666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i = -75*i - 48 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/47 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080524937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u + 5. Let x be k(-5). Solve q + 29*q + 27 - 27 + 5*q**3 - x*q**2 = 0 for q.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*l - 5*v, -4 = -4*l - 0*l + 4*v. Suppose 1 = -l*y + 9. What is the nearest to 1\/3 in 0, 2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**3\/2 - 55*v**2\/2 + 30*v = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 10*c**2 - 18*c + 14. Let h be 7\/(4\/(4 - 0)). Let j be s(h). Solve 5*g = 5*r - j, -3*r = -4*g + 9 - 32 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 2, 0 = 5*m - 3*u + 29. Let q(v) = 30*v - 16. Let a(f) = -7*f + 4. Let w(g) = 9*a(g) + 2*q(g). Does 8 divide w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 15204 by 1086.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -581015 - -3?\nAnswer: -581012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-42)\/(-1050))\/((-1)\/(-5))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6482123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2531052 is divided by 3006.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u = 25*u - 46*u - 260 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19874 and 23012.\nAnswer: 437228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q - 3. Let p(s) = -s. Let j(d) = 3*p(d) + t(d). Let w be j(5). Suppose 108 = w*f - 8*f. What is the remainder when f is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 9*s**2 + 8. Suppose -3 = -o + 10. Let u(w) = 2*w**3 + 19*w**2 + 17. Determine o*a(n) - 6*u(n).\nAnswer: n**3 + 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11520.76 + -11576. What is q rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one fifths of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191356 is divided by 181?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -11. Solve -2*f + 2*d - 4 = b, 2*f = -f + 5*d - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8097 is divided by 2696.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 913926.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/5 + 679572*f\/5 - 38484841932\/5.\nAnswer: -3*(f - 113262)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 7*q**2 + 2*q**2 - 19*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - h = -5*h - 148, 3*p - 5*h = -103. Let c = -12 - p. Suppose 4*d - c - 16 = 0. What is the lowest common multiple of d and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 22*w - 15. What is d(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -102160571807278?\nAnswer: 102160571807277.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*u + 154 = -377 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604242903 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -21095.\nAnswer: 3\/21095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 407*o**2 + 1204*o**2 + 1039*o**2. Let x be m(-2). Round x to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9653 and 2333.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -20?\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 960834 divided by 17?\nAnswer: 960834\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 16688967*r**2 + 16688967*r**2 - 18*r**3 + 2.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20164342 and 2398.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 90 + 36. Let c be (9 + 15)\/(b\/10). What is the highest common divisor of c and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 322*o**2 - 47*o - 1096. Is y(39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8512 + 8288. Let s = 284787\/1328 - -798\/83. Let g = k + s. Calculate the common denominator of -57\/10 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(540\/16) + 38\/45)*700. Is 276 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*b - 39*b + 66 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -543715764+-21\nAnswer: -543715785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -263 + 276. Let o = 2.02 - 0.02. Which is the third smallest value? (a) o (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-13) - 4833\/3222\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 326 (base 8) to base 14\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -2004012012?\nAnswer: 2004012003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 647, 3 in descending order.\nAnswer: 647, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -170163\nAnswer: -1020978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 - 2*m - 18. Does 6 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.252 to two decimal places.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 610.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7224457.396 to the nearest one hundred thousand.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78109, 156218, 234325, 312430?\nAnswer: 390533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 40 = 24. Suppose 0 = -z - 3*z + 96. Let n = z + o. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctikikbvv. What is prob of sequence ti?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-2) - 17 - 3*2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 535 + 121. What are the prime factors of w?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9de7b + 2?\nAnswer: 9de7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 - 7\/(-5). Let p be (-1)\/i*-14 - 2. Suppose 2*h + h - p = 0. Solve 2*j - 11 = j - h*g, 8 = 4*j - 2*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3501 = 5*w, 0*k + 5*k = -w + 717. What is the remainder when w is divided by 185?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10511562 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/9)\/(h\/(h*h*h**(-5)))*(h\/(h**(3\/5)\/h)*h)\/(h*h**(2\/21)))\/((h**(-1))**(-3\/11))**(-4\/19) assuming h is positive.\nAnswer: h**(-180976\/65835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21278 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 72\/(-32) - 6\/(-8). Let n be 148\/28 + ((-6)\/7)\/c. Solve n*j - 35 = 5*m, -3*m + 8 = -2*m + 4*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from tttltfttllllltlell.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.703909 to one decimal place.\nAnswer: 24.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - l + 3)*(-3 - 4 - 1) + 5*l - 4*l - 2*l + (6 - 3 - 2)*(-2 + 2 - 5*l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8610818 millimeters?\nAnswer: 861.0818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t + 14. Let h(a) = 1. Let y(l) = c(l) - 5*h(l). Let w be y(7). Let v = w + 78. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*n = 27, 12 = -9*s + 4*s + n. Let x be 3 + s\/(-9)*129. Let q = 66 - x. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13024778183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.22 + 0.22. Let h = g + 1.6. Let k = -1 - -1. Which is the biggest value? (a) k (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t*y**3 - t*y**2 - 3*t*y + 154372*t - 2*y**3 - 6528*y**2 wrt y?\nAnswer: -30*t*y - 2*t - 12*y - 13056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**4 - 3*l**3 + 3*l - 6. Let n(k) = -25*k**4 + 8*k**3 - 8*k + 19. Let y(w) = 3*n(w) + 8*u(w). Differentiate y(c) with respect to c.\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a - 7. Calculate i(-7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/180*(-2)\/(-4). What is the smallest value in d, 0, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84728798 and 16093.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 184238474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 114. Let t be w(0). Suppose 0 = -4*d + 31 + 113. What is the remainder when d is divided by (-1)\/((-3)\/t*2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**5 + 3*y**4 - 35*y**3 + 37*y**2 - 9*y. Let n(h) = 24*h**5 + 12*h**4 - 141*h**3 + 150*h**2 - 36*h. Let l(q) = -9*a(q) + 2*n(q). Solve l(g) = 0.\nAnswer: -3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3 - 3)*(-o - 4*o + 4*o)*(-2708 + 2955 + 3701).\nAnswer: -7896*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m**2 + 3*m + 4. Let g(p) = 17*p**2 + 5*p + 7. Calculate 3*g(f) - 5*x(f).\nAnswer: 11*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 69\/6)*2\/(-1). Let c = 6 + -1. Sort -1, -3, d, c.\nAnswer: -3, -1, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4422.675 days to hours.\nAnswer: 106144.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, e: 4, m: 4}. Give prob of sequence mel.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 135 = -5*x, 63*x - 62*x + 2*a = 27. Calculate the smallest common multiple of x and 552.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*24\/(-3520))\/(78\/(-325)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-124)\/(-155))\/(1\/(-5)). Let y(a) = -a**3 - 5*a**2 - 5*a - 3. Determine y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 273, 251, 207, 135, 29, -117, -309?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/12 in 3, -243.89, 0.03, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201955 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-20)\/(-24)) - -2. Let w = y - 4. Solve -3 = v - w*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476931840 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 16. Suppose -i + 127 = -n*i + 2*g, -2*i + 284 = -2*g. Let a = i - 61. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**2 - 7*s - 253 wrt s.\nAnswer: 2*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 935 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ad237 (base 15) to base 3.\nAnswer: -2110112222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25168)\/(-726) + (2\/3)\/2. Suppose -4*g + i*d = 40*d - 2971, -5*g + 3755 = -2*d. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7056083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -74*l**2 + 713*l + 710. Give z(-1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 79*s + 3944 = -63*s for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 169*i + 2467. What are the prime factors of l(9)?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**3*r)\/r)\/r)\/(r*r**(3\/5)*r*r)*(r**(1\/4))**25*((r*r\/r**(1\/4))\/r)**0*(r**0\/r)**21 assuming r is positive.\nAnswer: r**(-307\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-390)\/(-260))\/(3\/16). Which is bigger: q or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, -3 in descending order.\nAnswer: 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3088979 divided by 50639?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 887283799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 722 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*h**(-1\/6))\/(h*h**(-5)*h**2) assuming h is positive.\nAnswer: h**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1133*r - 65732. Determine m(-58).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)*k**(-5))\/(k**(-1\/12)\/k**(7\/3)) assuming k is positive.\nAnswer: k**(-317\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11 = 4. Solve -2*a + 1 = 4*d - l, -2*d - 2*a - 2 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-8)*840\/(-70). Let j(x) = 5*x - 11. Determine j(h).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 15*a**2 - 4*a - 3. What is v(-8)?\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 449 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10736149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 29) + 31 - (16 + 3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/(-30) - 1\/(-3). Let a = 47 - 28. Suppose 2*y - 2*l = -y - a, 3*l = -n*y. Put 3, y, -4 in increasing order.\nAnswer: -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -832*j**2 - 2*j - 2*j**4 + 1 + 0 + 1103*j**2 to o*j**4 + d*j**2 + b + t*j**3 + r*j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22580 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-45)\/(-70))*(-150)\/(-1350)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1237? (a) 0.05 (b) -0.04 (c) -1\/2 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 = 8, -5*s - 1257 = -3*d. Suppose -5*l - n + 521 = 0, 0*n = -4*l + 2*n + d. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.102 - 1.928. Let o = -344.97 - -345. Let z = f + o. Put -4, z, 1 in ascending order.\nAnswer: -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 7*g**2 - 20*g - 31. Suppose -17 = 11*s - 6. Let b be (1\/(-3))\/(s\/(-39)). Is k(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 230.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0452874447 to four decimal places.\nAnswer: 0.0453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -204 - 2235053?\nAnswer: -2235301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -61327.\nAnswer: -1\/61327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*l + 3*l + 0*l)*(3*l**2 + 0*l + 0*l) + 2*l**3 - 3*l**3 - l**3)*(2*l**2 - 7*l**2 - 18*l**2 - 43*l**2)*(8 + 11 - 12).\nAnswer: 3696*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53\/20 + -9\/4. Which is smaller: -0.12 or c?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8712 and 2420?\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n = -162*n - 1520 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -94?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.331 + 0.531. Sort 0.074, f, 1\/3, -0.5 in ascending order.\nAnswer: -0.5, 0.074, f, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + ((-2904)\/847)\/((-4)\/21)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 55 + 17. Solve 3*k - 7*k + b = -2*v, -5*v + 4*k = 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*z**4 + 4290*z**3 - 101655*z**2 + 592110*z + 208824 = 0. Calculate z.\nAnswer: -1\/3, 11, 14, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcp when three letters picked without replacement from ovrorrvocovprrovrvov.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6) + 0)*-9. Let d = 3 + k. Solve -2*m - 7 = 3*c, 5*m = -d*c + 2*c - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-252))\/((-100)\/360).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(5 - (-21)\/(-7)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prptllrttorrtrrl. Give prob of picking 2 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2 - 174*i + 7569 = 0.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z + 178 = 3*p, -2*p - 4*z = -118. Let f = p - 43. Suppose 3*b - 4*b + 22 = 0. Calculate the least common multiple of b and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 1. Let y(g) = 78*g**2 - 130. Calculate 130*o(w) + y(w).\nAnswer: -52*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 1\/2*b**4 + 3*b - 2*b**3 + 0 + 1\/2*b**2 = 0?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13688*r - 37063 - 165063 = -43420 + 73990 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 555871254652954 + -555871178517260.4000077. Let u = -76135686 + q. Let s = u - 7.6. What is s rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3448 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5539*g - 3895 wrt g?\nAnswer: 5539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/2 (b) 0.7 (c) 0.07 (d) 7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/7812 and -53\/59024.\nAnswer: 531216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 901 and -9496.\nAnswer: -8555896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w = -432. Suppose 0 = -8*m + 5*m + 30. Suppose 0*q + g + m = q, 3*g = 6. What is the greatest common divisor of q and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10598114621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19.11, -273, 1\/10?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2641525 is divided by 2311.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -404\/399 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2508 + 5.027109?\nAnswer: 2513.027109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(-13)*a)\/a)*a)**(-1\/16)*a**32\/(a*(a\/(a*a**(-4\/23)))\/a))**(-1\/21) assuming a is positive.\nAnswer: a**(-5695\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4860098 (base 11) in base 14?\nAnswer: 11a407b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10242 - -9914. Which is the closest to 3? (a) f (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44115 (base 6) to base 10\nAnswer: -6095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = -y, -5*k = -4*y - 5 - 15. Suppose -3*a = -5*f + 7 - 20, 4 = k*f. Solve 5 = -i + a*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 258.36226?\nAnswer: 2066.89808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -40*c**2. Let a be j(-1). Let n = -22 - a. Solve -12 = 2*m - 2*l, 2*m + 4*l - n = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14476 and -0.215.\nAnswer: -14476.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -7 (b) 9.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201927 is divided by 364?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 41, 0.3, -0.7 in decreasing order.\nAnswer: 41, 0.3, 0, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -279\/356 + 3\/89. Let b = 1.033296 + -0.033296. What is the nearest to 0.1 in 1\/6, -0.4, b, o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(1 - -15). Suppose m + 40 = 5*m - 2*h, m + 4*h = -l. What is the greatest common divisor of 24 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 - 14*c**2 - 14*c + 15. Let f(z) = -z**3 - z**2 - z + 1. Let s(x) = -6*f(x) + u(x). What is the remainder when s(9) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3116831 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.80419nm to kilometers.\nAnswer: 0.00000000004080419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 461460648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 5*u - 3. Let d be r(-4). Let v be (0\/(-3))\/(d + -2). Suppose -f - 4*f + 450 = v. Calculate the highest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(-3\/2))\/c)\/((c\/c**23)\/c))\/(c\/(c**(-26)\/c)*c**(3\/10)*c) assuming c is positive.\nAnswer: c**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1 - 6*p**2 + p**2 - 3*p**2 + 12*p**3 - 4*p - 11*p**3. Let i be d(9). Suppose i + 76 = 5*s. Calculate the greatest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261216 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 - 243*s + 1270. Calculate g(-86).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 10. Suppose -4*x + 73 = 3*w, 3*w - 2*x - 3*x = 118. Let n = -278 + 284. Solve 0 = -v*p - w + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*1 - sqrt(77) - sqrt(77))\/(sqrt(176) - sqrt(176)*-1).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*i - 12*i - 8*i)*(0 + 35*i - 6 + 8) in the form m + h*i + r*i**2 and give r.\nAnswer: -2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(sqrt(63)\/sqrt(7)))\/(sqrt(10)\/(sqrt(30)\/sqrt(6))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 2*h**6\/15 + h**5\/20 - 4*h**4\/3 - 2*h**3\/3 - 16*h. Factor v(q).\nAnswer: q*(q - 2)*(q + 2)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -579.3 - -552. Let m = r + 0.3. Let o = m + 26.999946. Round o to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1557.573 - -3.573. Let b = 1554.0001053 + q. Round b to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/80 and -7\/46035445.\nAnswer: 736567120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 410161.\nAnswer: -7\/410161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56832769 and -1194012.\nAnswer: -58026781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0*k)**(-14\/3)*(k\/((k*k*k\/(k\/(k*k**(-2\/5))))\/k))\/k**(-1)*(((k*k*k**(-2))\/k*k)\/(k\/(k**(-2\/15)\/k)))**(-33) assuming k is positive.\nAnswer: k**(922\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 5. Let f(u) = 2*u - 4. Let i(h) = -6*f(h) + 5*l(h). Let d(y) = y. Let p = -137 - -140. Give p*d(j) + i(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - n**2 - 4*n**2)*(0*n**3 + 0*n**3 - n**3) + 4*n**5 - n**5 + 2*n**5 + (0*n**3 - n**3 - n**3)*(-19*n**2 - 27*n**2 + 43*n**2).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 2*u - 4. Let a(i) = 4*i**2 + 2*i + 4. Determine 2*a(q) + 3*v(q).\nAnswer: -q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -3033?\nAnswer: 3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44, -25, -4, 19, 44?\n\"Answer: j**2 + 16*j - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6492 and -127\/12984?\nAnswer: 12984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 51. Suppose 0 = 2*u - 5*d - 29, q = 2*u - 0*u - d. Calculate the remainder when 34 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 104*q - 36. Let s(b) = 3*b - 1. Let d(a) = -72*s(a) + 2*v(a). Let c(m) = -6*m**2. What is c(d(x))?\nAnswer: -384*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 42772.0353 to the nearest 100.\nAnswer: 42800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/42)\/(2\/(-4)))\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 6*p - 13 = 7*p, 55*p + 616 = -d + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*g + 10*g - g)*(g - 2*g - g)*(4 + 5 - 1) to the form i + l*g + u*g**2 and give u.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -78*r**3 - 8*r**2 - 8*r + 8. Let z(a) = -52*a**3 - 5*a**2 - 5*a + 5. Suppose 9*s - 37 = 35. Give s*z(q) - 5*b(q).\nAnswer: -26*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 16. Suppose 14*o = -9*o. Solve o = -k*j - 22 - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28272 divided by -4663.\nAnswer: 28272\/4663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*n + 20*n - 26*n + 117 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 10. Suppose -5*t = 3*h - 6*h - 38, -d*h + 31 = 5*t. What is the units digit of (-3)\/((-3)\/t) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -136871136, -547484545, -1231840228, -2189938185, -3421778416, -4927360921, -6706685700?\n\"Answer: -136871137*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4647 is divided by 1548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 8904.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -2\/7, 7945, 2\/17, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183*k**4 - 183*k**3 + 17*k**2 - 925*k wrt k.\nAnswer: 4392*k - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*-8*12\/384. Let b(p) be the third derivative of 2\/3*p**3 + 0 + 6*p**2 + i*p - 1\/24*p**4. Calculate b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 102 = -2*z, 0 = -352*x + 357*x - z - 144. What is the greatest common factor of 726 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81695 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354365.\nAnswer: 5, 11, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -37999*s**2 - 3*s + 2. Let k be p(2). Round k to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114*v**4 + 97*v**4 - 48 - 292*v**4 with respect to v.\nAnswer: -324*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c988 (base 15) to base 10\nAnswer: -42653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 1)*(4*o**5 + 6*o**5 - 7*o**5 + (4*o**4 + 3*o**4 - 6*o**4)*(-4*o + 0*o + 5*o) + (-16*o + 16*o - 2*o**3)*(2*o**2 + o**2 - 4*o**2)).\nAnswer: -42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.067 - -0.033. What is the biggest value in -0.4, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1212165 + 1212154.64353. Let w = 10.35 + y. Round w to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1201066 millilitres in litres?\nAnswer: 0.0001201066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/9 + 166*x\/9 = 0.\nAnswer: -83, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1012 and 7728.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341 = 8*v + 15*v + 410 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - y - 0*y + 81, 3*m - y - 235 = 0. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136*29\/(-348)*6\/(-2)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 248\/186*(-18)\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**4\/26 + 82*a**3\/3 + 3225*a**2\/13 + 9702*a\/13 + 8388. Factor b(f).\nAnswer: -2*(f - 539)*(f + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-60) + (-1)\/(-4) + -1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 4)*(3 - (-1 + -1)). Let m = z + -47. Let d = 84 - m. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b94a39 (base 13) in base 7?\nAnswer: -51663313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -1\/4 (c) 5 (d) -4 (e) -2462\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 - ((2 - 10) + 86 + -86)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1160)\/(-192) - (-2 + (-4 - -4))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847*b = -849*b + 6. Put 0, -3, 62, b in increasing order.\nAnswer: -3, 0, b, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/34429, -1, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*k - 1030*k + 41 + 622*k - 41.\nAnswer: 248*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*i + l + 3, -2*i - 13 = -5*l. What is the second biggest value in -23, -0.4, i, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1952\/13 - 150. What is the nearest to 8 in -4, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 302 and 410666546.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1083926931\/43 + 25208743. Let i = 1140 - r. Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + -1 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**3\/3 - l**2\/2 + 14*l + 5. Let a = 2 + -2. What is the tens digit of r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*s + 24, z = -0*s - s. Is z\/21 - ((-23704)\/14 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*a - 26. Let h(i) = -i + 2. Let v be h(0). What is the derivative of b**2 + 4*b**2 + 0*b**v - 2 - a*b**2 wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 57 + 142 = 113*s. What is the fifth smallest value in 1\/3, -3, s, -0.2, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48067 (base 9) to base 12\nAnswer: -16721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203844*m**3*q**3 + m**3*q - 5*m**2*q**3 + 47465*q**3 + 2*q wrt m?\nAnswer: 1223064*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1280 < -1252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**3 + 10675*i**2 - 5660235*i - 40146435 = 0?\nAnswer: -7, 1071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87814 * -0.4.\nAnswer: 35125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let f(g) be the first derivative of 2*g**2 + 43*g - 7147. Give -f(k) - 6*s(k).\nAnswer: 2*k - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i + 28. Give u(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -105, -206, -367, -594, -893, -1270, -1731?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6084106 divided by 11002\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 12 - 5 - 7. Let f(n) = -2*n**2 + 2*n + 5. Let c(y) = 2*y**2 - 3*y - 6. What is b*c(z) - 3*f(z)?\nAnswer: 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(0 + 2 - 4) - 1 + 5 - 2)*(-4 + 2 + 1 + (2 + 1 - 1)*(1 + 2 - 1))*(4 - 4 - 4*w**4)*(178*w - 518*w - 125*w).\nAnswer: 22320*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -12630291?\nAnswer: 151563492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -347.8 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 312\/32 - (-6)\/(-8). Differentiate -20 - s**2 + o*s**2 - 8*s**2 - 14*s**3 with respect to s.\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/2 + 16*f**4 + f**3\/2 - 16*f**2 = 0.\nAnswer: -1, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.3911ml to litres.\nAnswer: 0.1423911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**3\/3 - 1. Suppose -5*b + 1 + 16 = -w, -2*w = 2*b - 14. Let h(y) = y - w*y + 3*y. Determine z(h(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zszyssm. What is prob of picking 1 m, 1 y, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -10. Let k(s) = 2*s**2 - 5*s + 10. Let a(g) = -3*g**2 + 8*g - 15. Let f(y) = -5*a(y) - 7*k(y). Is f(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*g**5 + g**4 - 5*g**3 - 184281*g wrt g.\nAnswer: 3820*g**3 + 12*g**2 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12669591 is divided by 2078?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1bb1 + -11?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5)*n**(-1))**(-31) assuming n is positive.\nAnswer: n**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -601152 (base 7) to base 3\nAnswer: -12010220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26370, 27767, 29164, 30561, 31958, 33355?\n\"Answer: 1397*o + 24973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 365081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 6517962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 31330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (41952\/(-1368))\/(-3*(-4)\/(-18))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 9*s - 96. Calculate the remainder when ((-22)\/(-4))\/((-2)\/(-12)) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2)*2)*-6 + -2*(0 + sqrt(2)*-2) + ((sqrt(22) - sqrt(1078)*2)\/sqrt(11) - (sqrt(4) + -4*sqrt(16))\/sqrt(2)))*5)**2.\nAnswer: 4200*sqrt(2) + 10700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c. Let v be l(4). Let t(d) = -d**3 + 6*d**2 + 3*d - 3. Let i be t(6). Suppose i = 3*q, -2*q = 2*y - q - 13. Solve y*b + 0*b + v = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 4*y + 3. Let j be q(-4). Let b = j - 28. What is the highest common factor of 35 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**4\/2 + 5755*h**3\/2 + 270445*h**2\/2 + 500705*h\/2 - 388455 = 0.\nAnswer: -1102, -47, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4755666, -19022621, -42800878, -76090437, -118891298, -171203461, -233026926?\nAnswer: -304361693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12309 and 330?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**5 - 591*m**4\/5 + 1656*m**3\/5 + 696*m**2\/5 - 2544*m\/5 - 1008\/5 = 0 for m.\nAnswer: -42, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045981 is divided by 116219.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011100101100011110001 (base 2) in base 16?\nAnswer: -2e58f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -231\/5?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -9, 2, -0.2, 2\/737 in descending order.\nAnswer: 2, 2\/737, -0.2, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iihl when four letters picked without replacement from {i: 6, h: 1, l: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 24 + 24. Suppose 4*z + 122 - 114 = n. Which is greater: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897510 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a week in minutes?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x*(x**(2\/65)*x)\/x)\/x)\/x*((x\/x**(-3\/16))\/x)\/x assuming x is positive.\nAnswer: x**(227\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 29 - 5 = -3*d, 5*r = -5*d + 50. Do d and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72506116\/43 or 1686189?\nAnswer: 72506116\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57556*d*i*o**3 - 93*d*i*o**2 + 3*d*i - d*o**3 - 2*d*o**2 - 8*o**2 + 2*o wrt o.\nAnswer: 345336*d*i - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 171\/15 + 0 - 12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4*n - 3, -2*n - w - 9 + 6 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**2*x**3*y - 24*c**2*x**2*y**2 - c**2*y + x**3*y**2 - 60*x**3 wrt y.\nAnswer: -48*c**2*x**2 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 666954877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {m: 1, w: 3, y: 4, s: 5}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 11:59 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 22*r - 12. Calculate n(16).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 + -7.812?\nAnswer: 381.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 126335, 505371, 1137099, 2021519?\n\"Answer: 126346*v**2 - 2*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfbrbbbfsbbbbrr. Give prob of sequence fs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159747 divided by -21.\nAnswer: 7607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*j**5 + 180*j**4 + 6090*j**3 + 21720*j**2 + 9897*j - 5940 = 0. What is j?\nAnswer: -9, -11\/3, -1, 1\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0 + 7\/60*m**5 + 0*m + 11\/6*m**3 + 80*m**2 + 1\/8*m**4 + 1\/120*m**6. Give z(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.067853577 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77804695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248 - -440. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.59 - -151.09. Let h = -143 + x. Which is the biggest value? (a) -11 (b) -4\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.14 + 8.14. Let d = -7.9 + c. What is the closest to 0 in d, 2\/7, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 18*r**2 + 21*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = 9*t. Let a be 1\/t - (-69)\/4. What is the greatest common factor of a and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - t + t)*(4 - 4*t**2 - 7*t**2 + 8*t**2)*(t + 10*t - t) as r + z*t + v*t**4 + j*t**2 + p*t**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-16) + 3 + 4\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = -4*d - 2*z - 133, 3*d - z = -10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 2. Let r be (-4 - 153) + -2 + 1. Let z = -156 - r. What is s(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2480*r + 32176 = 970*r + 572*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/12 - 4*i**3\/3 + i**2\/2 - 9*i. Give a(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 - 3\/(-6). Let q be (-1)\/(-2 + 324\/164). Let b be -1 - ((0 - q) + m). Calculate the greatest common divisor of 26 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 221773428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4735655.\nAnswer: 5, 19, 79, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i. Let x(q) be the third derivative of 5*q**4\/8 - 118*q**2. Give x(c(g)).\nAnswer: 75*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*i + i, -5*x + 37 = 3*i. Suppose -4*s - 2 = -m, 0*s + x*s = m - 3. Let r = -1 - -1. Which is the closest to r? (a) -3 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + w - 18 + 4 - 2*w as b*w + a and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = 2*m - 11*z + 17, 6482*z - 6483*z + 55 = -9*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5)*-4 - (sqrt(720) + 5 + sqrt(720)))**2.\nAnswer: 160*sqrt(5) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (((-1*(sqrt(288) - -4*sqrt(288)))\/sqrt(12))\/(-1*sqrt(12)*3*-4))**2).\nAnswer: -595\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 6) in base 3?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -7.406.\nAnswer: -2.9624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a factor of 64514505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -59)\/(252\/(-129)*-1). Let g = t + -145\/7. Calculate the common denominator of g and 105\/208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458800 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 466*o + 5889.\nAnswer: (o - 453)*(o - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 2*m + 41, -70*m = 3*h - 65*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 7*v)*(30 + 12*v + 14 - 13*v).\nAnswer: 7*v**2 - 308*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(112) + -4 - -2*(-2*sqrt(7) + sqrt(7)))**2*5.\nAnswer: -120*sqrt(7) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-2900)\/40)*(-1)\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4 and -113\/80737244.\nAnswer: 80737244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (230\/6)\/((-391)\/(-5865)). What is the greatest common factor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.055 - 2.045. Let c = 2.10141 + m. Round c to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 5*r + 5*r + (1 - 2*r - 1)*(3 - 2 + 1) + r - 4*r + 4*r + 4*r + 2*r - 4*r in the form x*r + w and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1697 - 1206. Calculate the remainder when q is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2500 and 1450.\nAnswer: 72500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99\/7 - -108\/7. Let v = 0.3 - 0.4. Let c = 1\/45 - 277\/315. What is the nearest to v in c, 3, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g - 10. Calculate p(9).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1459735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87615, 87611, 87607?\nAnswer: 87603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1090252.1 - 1025400.158. Let u = 64800 - p. Let w = u - -52. What is w rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c + 7740 = 54*c. Calculate the highest common divisor of 30 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004836225 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((6\/4)\/(-3)). Let w(m) = m**2. Let p(q) = -9*q**2 + 2*q - 3. Let b(l) = p(l) + 6*w(l). Let v be b(h). Round v to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 121, 126, 131, 136?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4\/7, -330 in descending order.\nAnswer: 20, 4\/7, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 880*c**3*l**3 - 7*c**3*l + 304*c**3 + 5 wrt l.\nAnswer: 2640*c**3*l**2 - 7*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2. Let b(i) = i + 8. Suppose 11 + 17 = -4*q + 2*f, 0 = -q + 5*f - 25. Let h be b(q). Let c(l) = 2*l**2 + 3 - h - l**2. Calculate s(c(w)).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/(-4))\/(6\/(-24)). Let y(j) = -j + 24. What is the least common multiple of 3 and y(k)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/67 in 0.2, -0.5, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0461 - 26.3461. Is l != -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 32 = -4*t, 5*t - 5*q = -10 + 65. Let w be 0*(-2 + t\/6). Suppose -b + 4 + 8 = w. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**5 - 4088*r**4 - 1719048*r**3 + 1727216*r**2 + 1719044*r - 1723128 = 0.\nAnswer: -321, -1, 1, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + n = 1 + 2, 0 = 4*n - 8. Let j be x - 4*(0 - 9). Let o = j + -20. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*g - 17, 3*h - 4*h - 3*g - 8 = 0. Which is smaller: 3.8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 1\/4, 1\/5, 5, 67, -13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 8. Suppose 20 + 3 = 2*j + 5*v, -4*v - 4 = 0. What is the least common multiple of j and y(6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3270\/49481?\nAnswer: -3270\/49481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -531 < -205108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 129 = 29*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from oooooooggg.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-3 + -13)) + -7 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o + 32*o + o)*(-2*o - 1 + 1).\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14759932 + -2?\nAnswer: 14759930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7600, 7589, 7578, 7567, 7556, 7545?\n\"Answer: -11*b + 7611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -624461500 to the nearest one million.\nAnswer: -624000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 15156 - 2344 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 372*r**3 - 56 - 374*r**3 + 24 + 19.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 515, -0.4, 0.1.\nAnswer: -0.4, 0.1, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a16 - -1?\nAnswer: -2a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 134201123.5 from 0.685.\nAnswer: -134201122.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, z: 1, f: 3, y: 7, m: 1, r: 3}. What is prob of picking 1 y, 1 o, and 1 m?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 plus 0.060622471893?\nAnswer: 1134.060622471893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3 + (-1 + 1 - 2)*(1 + 1 - 4))*(-5*a + 4*a - 5*a)*(19 + 11*a - 19).\nAnswer: -330*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**2 - 7*q + 167. Let r(l) = 19*l**2 + 12*l - 335. Give -7*j(m) - 4*r(m).\nAnswer: m**2 + m + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - -307. Suppose -18*x + 19*x - z = 2*m, -3*m = 3. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k*k**(-1\/2))**32\/((k\/(k\/(k*k**5\/k))*k)\/k**2))\/(k*k*(k**(-1\/5)\/k)\/k*k*k*k**(5\/3)*((k**(-2\/5)\/k)\/k*k)**(-13\/2)) assuming k is positive.\nAnswer: k**(2863\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -22171.93 to the nearest one hundred.\nAnswer: -22200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b. Let f(o) = -362*o + 1. Determine n(f(c)).\nAnswer: 724*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 36 = -31*r. Let p = 0.8 - 1. Which is the third smallest value? (a) r (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1295\/(-111)*3\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 2*n. Let b be t(-3). Let g = b + 63. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7061 + 7063. Let b be (-2)\/(-8) + 30\/8. Put w, b, -21, -4 in descending order.\nAnswer: b, w, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 46 = 2*r - 4*t, 0 = -2*r + 5*t + 47. Let u(w) = w**2 + 5*w. Let h(f) = 4*f**2 + 16*f + 1. Let d(b) = r*u(b) - 6*h(b). Factor d(c).\nAnswer: -3*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263 - 255 - 16*d + 518 - 6*d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose 0 = -v*c - 5*o + 345, 17 + 67 = c - o. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -9*g - 380. Let n be ((-6)\/5)\/((-19)\/g). Let h(a) = a - 16. What is h(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -36*n + 20*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6738 + 0.6738. What is the closest to w in 5, -11, 1\/11, 4\/5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*h**2 + 4 - 5 + 8*h**2 + 2 - 13*h**2.\nAnswer: 63*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172775 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*g - 7, 0*g = -2*h - 4*g + 10. Suppose 115 + 305 = h*l. Calculate the highest common factor of 56 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1644031*s - 1644077*s - 4*s**3 + 3*s**3 + 3288108*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**8\/31680 - a**7\/18480 + 2*a**5\/5 + 15*a**2. Let q(w) be the third derivative of g(w). Solve q(y) = 0 for y.\nAnswer: -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.15958354 and -2.\nAnswer: -3.15958354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4807\/147662 - 4\/1717. Let v = h - -371\/774. Put v, -0.2, 4 in decreasing order.\nAnswer: 4, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89913 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77704437 and 5.\nAnswer: 388522185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 5 - 5)*(-3*v**3 - 4*v + 10*v + 4*v**3) + (-2*v + 0 + 0)*(0*v**3 + 16*v**3 - 2*v**3).\nAnswer: -30*v**4 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9042\/505 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y**2)*(4 - 4 + y) + 11*y**3 - 79*y + 79*y - 5*y**3 - 7 + 6 + 3*y**2 - 1.\nAnswer: 5*y**3 + 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.2096 and 132170?\nAnswer: 132175.2096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:28 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 minus -2.9?\nAnswer: -288.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2684.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 111597090 divided by 2343\nAnswer: 47630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**(2\/9))*x*(x*x*x**(-1)*x)\/x)\/(((x\/x**(-11))\/x)\/x*x\/(x*x**(2\/5)*x)*x) assuming x is positive.\nAnswer: x**(-287\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-26)*(5 + -1). Suppose f*t - 117 = v, 0*t + 4*v + 41 = t. Is t a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -41. Suppose t = -2*d + 3, -s*t + 12 = -6*t. Put 0, d, 5 in increasing order.\nAnswer: 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Suppose 5*o = d*f - 40, -f - 4*f + 26 = -3*o. Let u(r) = r**2 + 4*r + 5. Is u(o) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 3*j**2 - 6*j + 25. Let c be l(4). Solve 20*a - 12 = c*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 523 + -68. Suppose 0 = -12*j + 7*j + v. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (2*4*sqrt(567) - (-5*(sqrt(567) + -2) - sqrt(567)))*-1)*4)**2.\nAnswer: -24192*sqrt(7) + 1778688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 482626 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 + 18*t - 89. Determine m(9).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 58*s - 165. Let d be q(-25). Let a(t) = t - 45. What is a(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d + 2. Let z be c(5). Let s(w) = -1 + 0 + z*w - 2*w. Is s(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 779?\nAnswer: -389.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1, 2\/5, -260, -3, 5, -44, -2\/3?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*h + 242*h = -204*h + 30793 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 13. Let r = u + 0.2. Which is the nearest to -0.1? (a) -1\/6 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1441 and 708186?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25456 - -6?\nAnswer: -25450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -78*x + 40. Let j(z) = -26*z + 14. What is -6*h(g) + 17*j(g)?\nAnswer: 26*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1 - 4) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 k when four letters picked without replacement from ddddkdddddkktkdddk.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 36125*t + 36046*t.\nAnswer: -79*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 23*a**2 - 35*a\/2 + 3 = 0. What is a?\nAnswer: 6\/23, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:45 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + 3 + 3 + 9\/(-3). Calculate the highest common divisor of 143 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19617841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191860055.\nAnswer: 5, 38372011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 51 (b) 9 (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7cb0 + e7?\nAnswer: -b7bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j + 10. Let k be (2 + 21\/(-9))*3. Let r = k - j. What is the remainder when 7 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781002 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(-3*f - 3*f + 4*f) + f + 3*f - 3*f - 4*f - 2*f + 3*f + 636 - 658 + 0*f - f.\nAnswer: f - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**6\/120 + j**4\/24 + 5*j**3\/6 - 8*j**2. Let f be s(0). Let o = -1 - -2. Solve f + o = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24500939 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 - 3*(-3)\/60. Factor -2\/5*u**3 + 0*u + 0 + s*u**5 - 2\/5*u**2 + 2\/5*u**4.\nAnswer: 2*u**2*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9245275 divided by -1?\nAnswer: -9245275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3218.476 and 41304151.\nAnswer: 41300932.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 49, 56, 65?\n\"Answer: b**2 + 2*b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61841 is divided by 15430?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 82 - 164 + 85 + 5*k - 4*k. Calculate r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -8*q. Let o(x) be the third derivative of 0*x + q + 7\/48*x**4 + 1\/24*x**5 - x**2 + 1\/6*x**3. Factor o(y).\nAnswer: (y + 1)*(5*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(405) + sqrt(405) + 1.\nAnswer: 4 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -76cc - 1?\nAnswer: -76cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + (5 + -4 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89612 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -59 (b) 0.4 (c) 502\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28855832 - -0.3.\nAnswer: -28855831.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1160.602 - -1156. Let d = -0.102 - -0.1. Let p = d - a. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 796, 2022, 4008, 6910?\nAnswer: 10884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-31140)\/2820 - ((-570)\/141 + 4)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1332.09 + -1332. Which is the closest to v? (a) 0.5 (b) 3 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 4*l**4\/3 - 5*l**3\/3 - 5*l**2 - 277*l. Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/62106 and 113\/372636?\nAnswer: 372636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:53 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-144)*(-270)\/(-4365)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118745 is divided by 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - 26\/(-28). Let r = -1 + 0.9. Which is greater: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.26 (b) -11 (c) -70 (d) 4 (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002212 - 1?\nAnswer: 1002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -415008983 and 4.\nAnswer: -415008979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 6 = -2*d, -4*j - 3 = 6*d - 3*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 109.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*a + 24, -4 - 20 = -3*a + 3*j. Solve -6 = -2*h + a*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1087.3*0.177.\nAnswer: -192.4521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16757333 take away 1.1?\nAnswer: -16757334.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iipipipi. Give prob of sequence iip.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 8*x**2 - 6*x + 3. Let w be (21\/(-9))\/(4\/(-12)). Give a(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7572*n + 9397*n + 71175 = 0 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - o - 2. Let w(q) = -20 + 11 + 4*q + 23. Let g be w(-6). Let b = g + 13. What is d(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 280 by -56.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18999685 divided by 3799937.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-450))\/((-1078)\/70 + -5).\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.7 and 23.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2))\/(6\/(-3)). Let f = m + 0. Let h(y) = y**2 - 2*y - 2. Let l be h(3). Solve f*z - l = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*y - 12 + 562*y + 12.\nAnswer: -245*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-15)*(-10)\/(-2). Let k(o) = -9*o + 31. Let v be k(b). Find c, given that 2\/5*c**3 - 2\/5*c - 1\/5*c**v + 0*c**2 + 1\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 28 = -8*n. Suppose 0 = x + 5*m - n - 1, m - 2 = 0. Let j = 17 - x. Solve 3*h = k - 0*h + 11, 2*k + 5*h = j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 48 = -8*l - v, -24 = l - 10*v for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 11*l + 15, 0 = a - 3*l + 29. What is the fourth smallest value in -2, -0.3, 4\/3, a?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 30 + 29 = 2*s, -5*s = -4*q + 301. Suppose 2*h = q + 193. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -112?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10239442991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.121? (a) 0.42 (b) -0.07 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235773685.\nAnswer: 5, 7, 569, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 164961, 164991, 165029, 165081, 165153, 165251?\n\"Answer: t**3 - 2*t**2 + 29*t + 164933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 103 = -807*q + 814*q, 4 = 2*g for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + 4326?\nAnswer: 4301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3*s**2 - 4 - s**2)*(s - s + 2*s).\nAnswer: 4*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 228*r**2. Let w(m) = 238 + 3*m**2 - 484 + 246. Calculate u(w(h)).\nAnswer: 2052*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.032 in -1\/2, -1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 1:50 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrqn when four letters picked without replacement from ynqrsqrrnnd?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148628.79916 - 148626. Let i = -3.13 + 0.33. Let o = w + i. Round o to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23*(-5)\/1050 + (-2)\/10 and 59\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)\/n)\/n*n**(2\/7))\/(n**(-1\/2)*n**(3\/4))*(n*n*n**(3\/8)*n*n)\/(((n**(-2)*n)\/n)\/n*n)*(n\/(n\/n**(-1)))**(17\/2) assuming n is positive.\nAnswer: n**(-509\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**3 - 90*m**2 - 3*m - 3. Let s(p) = 7*p**3 - 90*p**2 - 4*p - 4. Determine 4*h(x) - 3*s(x).\nAnswer: 3*x**3 - 90*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 3045, -4 in decreasing order.\nAnswer: 3045, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/28323 and -127\/6294?\nAnswer: 56646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 0 - 2*v - 2*v**2 + 3*v + 3*v - 3. Let z be n(3). Suppose y - 114 = -z. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8145 and 1269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 402*b**2 - 2*b - 1. Is z(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4\/7 - 1280*z**3\/7 + 29256*z**2 + 5120*z\/7 - 819200\/7 = 0?\nAnswer: -2, 2, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -1\/5, -0.5, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 14 = -8*k - 3*x, 3*k - 22 = 5*x. Suppose -5*i + i = 96. What is the least common multiple of i\/(-9)*18\/k and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 594711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 9) in base 4?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from xdpdddwx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {d: 14, l: 4}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o**2 + 10*o - 44. Let s(g) = 33*g**2 + 42*g - 177. What is 21*f(w) - 5*s(w)?\nAnswer: 3*w**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -233*m**3 - 2*m**2 - 10*m - 9. Calculate the smallest common multiple of 18 and a(-1).\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-60)\/100 - 29*(-17)\/(-70) and 93\/346?\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m - 1. What is the least common multiple of 7 and l(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbdddd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26 - -25)\/((2*-1)\/718). Let f = 366 - c. Put -3, f, -1 in ascending order.\nAnswer: -3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2026*a**4 + 1634*a**3 - 107*a**2 - 4860?\nAnswer: -48624*a + 9804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, v: 1, s: 2, h: 1, p: 5}. Give prob of sequence spp.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(140)*1 + sqrt(35) - (sqrt(1260)*3 + sqrt(1260)))\/((sqrt(360)\/(sqrt(60)\/sqrt(5)))\/(sqrt(96)*5)).\nAnswer: -400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 16*s**2 + 4852*s. Let c(y) = 5*y. What is c(a(x))?\nAnswer: 80*x**2 + 24260*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67688921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 - (-7 - (4 + -1 + -4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*(320\/(-192) - (8\/(-6))\/1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.87 and 2.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -101 and 1?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48640 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636 = -58*l + 147*l + 343 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:51 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*f*u**4 + 5*f*u**3 - 123*f*u - 15*u**4 - 7*u**3 - 672*u**2 - 2*u wrt u?\nAnswer: -288*f*u + 30*f - 360*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*f**3*o - 207*f**3 - f**2*o - 1604*f**2 + 3 wrt f?\nAnswer: 114*o - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**3 - 9. Let s = -11 + 15. Let b(i) = i**3 - s - 5*i**3 - 6*i**3 + 7*i**3. Let c = 7 - 16. What is c*b(t) + 4*p(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/9))*b**(-10)\/b*b)**(-1\/5)*b**(-2)*b**(2\/23)*b**(-1\/3)\/b*b*(b\/b**(3\/5))\/b*b assuming b is positive.\nAnswer: b**(136\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*y - 19, -3*y + 8*y = -a + 23. Sort a, -5, 40 in decreasing order.\nAnswer: 40, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 + -0.44. Let f = -0.4 - r. Is f bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7925?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 33. Let o(c) = c**3 - 3*c**2 + c - 7. Let t be o(4). What is the greatest common factor of t and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80501 is divided by 19155?\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-15)\/(-10)*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 12019*x**2 + 226644*x + 20604. Let s(v) = v**2 + 22*v + 2. Determine -5*q(z) + 51510*s(z).\nAnswer: -8585*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011314 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x - 21. Let w be o(6). What is the greatest common divisor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 24929 - 24929 + 2*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68.334 * -4.\nAnswer: -273.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6*x + 0*x - 81 + 74 = -3*x, -x - 4*x = 25 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/22)\/((-9)\/(-18)*((-420)\/795)\/(-7))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28108092 divided by 461?\nAnswer: 60972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 6*j + 44, -11 = -2*z - 43*j + 77*j - 29*j for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/8 and 63\/6879332.\nAnswer: 13758664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + q - 145, -4*q + 9 = -j + 41. What is the greatest common divisor of 300 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*c = -1261 + 1000 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-10 - (0 - 5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 3978 = 2*m - 13*p, 2*m - p = 3981. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1286 + 2*x - 1286.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 108929654 to the power of 1\/2, to the nearest integer?\nAnswer: 10437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 9*d**2 + 4*d. Let h be x(-5). Suppose 0 = 3*p - h*k - 10087, 0 = 5*p + 2*k + k - 16789. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0323464 minus 0.02?\nAnswer: 0.0123464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 448755 and 220697709.\nAnswer: 1103488545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 3*u + 9 = -13*x, 5*x = 4*u + 6. Let n = -0.07 - -11.07. Let b = n - 6. What is the nearest to 0 in 0.6, x, b?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -16*w**5 - 3*w**3 + 5*w + 3. Let u(j) = -15*j**5 - 2*j**3 + j**2 + 5*j + 2. Let v(c) = -3*u(c) + 2*x(c). What is the second derivative of v(i) wrt i?\nAnswer: 260*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4793, -18262, -40709, -72140, -112561, -161978?\nAnswer: -220397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*g + 72*g + 1499 + 373 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:36 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4216*n + 14535 + 19193 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11160 + 5346 + 5236)*(13*b - 7*b + 11*b)*(b**2 - 2*b**2 + 3*b**2).\nAnswer: -19652*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249 + w + 83 + 86 + 80.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n + 55*n + 6365 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.477202*26.5.\nAnswer: 12.645853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 3*t + 51*t**2 + 21 - 50*t**2 + 6*t. Does 16 divide g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-7\/3)\/(o**(-2\/11))**(2\/29) assuming o is positive.\nAnswer: o**(2245\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 45 - 81 + k.\nAnswer: k + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 66*k**2 - 153*k - 151. Is h(72) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22574458 less than or equal to 22574472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -107*a. Let k(v) = 14*v**2. Calculate k(u(t)).\nAnswer: 160286*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - s**3 - s**4 + 6 - 11 + 4 - 5*s**2 in the form b*s + z*s**4 + c*s**3 + u*s**2 + n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35652, -35697, -35768, -35877, -36036, -36257, -36552?\n\"Answer: -2*t**3 - t**2 - 28*t - 35621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = 4*s, -4*s = y - 335. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.5 + -44. What is the nearest to 2\/9 in 4, k, -3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 45*i**2 - 11. Let b(r) = 9*r**2 - 2. Calculate 11*b(w) - 2*k(w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 553, 1092, 1605, 2080, 2505, 2868, 3157?\n\"Answer: -2*x**3 - x**2 + 556*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 60216\/8602 + (15 - (43 + -22)). Is h not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-56 - -43) + -1 + -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.68 - 0.6. Let c = 69 - 128. Let m = c + 59. What is the nearest to k in m, 4, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*q - 131, j = q + 28 + 15. Let h = 60 - j. Solve n + 0*n = 5*i - 29, -n - h = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 - 2*w**2 + w. Let l be (6\/(-2))\/(-3) - 0. Let v be h(l). Let p(y) = -y**2 - 2*y - 1. Let n(r) = r**2. Let u(o) = 2*n(o) + p(o). Give u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.6 - -40. Let x = j - 5.4. Suppose 12*w - 8*w = 5*o + 8, -3 = -3*o + 5*w. What is the third biggest value in x, 0.15, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -1506567.\nAnswer: 1506567.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 0, -2*i + 0*i = 2*d - 8. Let n(w) be the second derivative of w**3\/6 + 11*w**2\/2 + 5*w. What is the smallest common multiple of i and n(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.32 + -0.1. Let l = -0.78 - q. Which is the second smallest value? (a) -0.1 (b) -0.11 (c) l (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 - 3*x**2 + 4*x**2 - 4*x**2. Let d(k) be the first derivative of -2*k**3\/3 - 3. Determine d(c(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/14 - (-8)\/16*-2. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 45\/112 (c) -4\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.291 and 57.\nAnswer: -16.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3 - 2275994*a**2 + 647512895982*a + 3237621380010 = 0.\nAnswer: -5, 569001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 942 + 935 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025 = -75*w + 1400 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 205247 - 3*i - 410498 + 205248 + 10*i. Let p(d) = -d**3 - 3*d**2 - d + 1. Let q be p(-3). Determine w(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1128 - -1040.1. Let t = -88 - o. Which is the fourth biggest value? (a) 0.1 (b) t (c) 4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/60*(-36740)\/2338?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*y - 47, 3*i + 5*y - 136 - 35 = 0. Calculate the remainder when i is divided by (1\/(-3))\/(3\/(-117)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 16*i**2 - i - 11. Let r be z(-16). Solve -1 - r = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**3\/6 - r**2\/2 + 8*r. Give n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -891, -807, -723, -639, -555?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -49*z**5 - 109284*z**4 - 61384112*z**3 - 501691942*z**2 - 309579039*z + 130838026 = 0.\nAnswer: -1111, -53\/7, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21602604 (base 7) to base 5\nAnswer: -434212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33783174*k*v**2 - 883*k*v + 614 wrt v?\nAnswer: -67566348*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1)\/((-12)\/24). Suppose -3*n = -4*n + 38. Suppose g*w = 6*w - n. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 10:32 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = 4*u - 32, 19 = u + 4*c. Suppose -u*v + 463 - 70 = 0. Round v to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, 15, 36, 59?\n\"Answer: g**2 + 16*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j + 0*j)*(56 + 19 - 20).\nAnswer: 110*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 267 - -4?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43462081.\nAnswer: 13, 17, 196661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/3 - 170392*a\/3 - 56798 = 0.\nAnswer: -1, 85197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 348976719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 38*z - 77. Is w(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4)\/a**(1\/9))**6)**(2\/17) assuming a is positive.\nAnswer: a**(5\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and -7844?\nAnswer: 1490.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-62)\/(-155) - 27\/5. Let u be 63\/(-12) + f\/(-20). List the prime factors of 292\/2*u\/(-10).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*-1*(-1)\/11*3*(-629)\/1887\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*p**2 - 16*p**2 + 4*p**3)*(4 - 4 - 4*p) + (-3*p**2 + 3*p**2 + 2*p**2)*(-3*p**2 - 3*p**2 + 2*p**2).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 28*s + 18*s - 8281278. Round s to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16796, -16792, -16786, -16778?\nAnswer: -16768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**7\/1050 - x**6\/120 + x**5\/300 + x**4\/24 + 31*x**2 + 5*x. Factor n(j).\nAnswer: -j*(j - 1)*(j + 1)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 9408*z - 121797.\nAnswer: -3*(z + 13)*(z + 3123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Suppose -5*z - i*n = -9, -2*n + n = -2*z. Solve -3*v = -3*m - 15, 0 = v + 2*m + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y + 1. Let t be b(1). Let c(g) = g**3 - 13*g**2 - g - 1. Let n(r) = -r**3 + 19*r**2 - 6*r + 11. Let p(q) = -2*c(q) - n(q). Determine p(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u - u - 5*u + 0*u + 2*u - 4*u + (2*u + 3*u - 4*u)*(1 + 1 - 4) + (2 + 0 - 1)*(-3*u + 3*u - 3*u))*(2*u - 2*u - u) as s*u + o*u**2 + j and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162.839 + 0.161. Let a = f + -163. Is 4.5 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1431706772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18164 or 18181?\nAnswer: 18181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 7 - -4 - -1. Suppose -3*b = -n - 43, -7 = f*b - 4*n - 29. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*2 - 2*sqrt(5)*-3 - 2*(-3 + 2*sqrt(5) + -3 + 1 + sqrt(5)))**2.\nAnswer: 440*sqrt(5) + 2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 19*r + 2. Let p be j(2). Suppose -1 = 3*n + 11. Let h be n*(-3)\/24*16. What is the highest common factor of p and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-1)\/15 - 8\/(-20)). Let q(i) = -3*i**3 - 5*i**2 - 4*i. Let k be q(o). Calculate the highest common factor of 32 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10695405 is divided by 822722?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/13)\/n*n**(-7))\/(n**(-2)\/n**(1\/7)))**(-28) assuming n is positive.\nAnswer: n**(2076\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 - 1. Let t(z) = 7*z**3 - 5*z**2 + 6*z - 5. Suppose -h = -0*h - 5. Let b(v) = h*f(v) - t(v). What is the second derivative of b(l) wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 42180*r**2 + 21980268*r - 543275091252.\nAnswer: 4*(r - 2973)*(r + 6759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 13 = -3*v, v + 0 + 1 = 0. Let m(h) = 16*h + 7 + 19*h - 3 + 22*h - 76*h + 20*h. Calculate m(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c = -12. Let z(h) be the second derivative of -h**4\/12 - 5*h**3\/6 + 11*h. Calculate z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*i + 38*i + 80*i)*(0 - 5 + 4 + (-3 + 5 - 4)*(-2 - 2 + 6) + 4 - 1 - 1 + 1 - 1 - 1 - 1 - 2 + 4)*(34*i - 91*i - 24*i + 1).\nAnswer: 41796*i**2 - 516*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2699 + 2699 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 4*t + 8. What is z(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14678 is divided by 7334?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/30 and 38\/159?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85.2 - 65.2. Is o at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + 0.84. Let s = -23.24 + q. Let c = 1.8 + s. Round c to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137567, -2, -0.03, -4 in decreasing order.\nAnswer: -0.03, -2, -4, -137567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + (sqrt(153)*-2 - sqrt(153))) - sqrt(153))*1)\/(sqrt(225)*1).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 26*t**2 - 40*t + 217. Let v be m(-24). Calculate the greatest common divisor of 15 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) -0.1 (c) 10\/9 (d) -147 (e) 2\/39 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*20*2\/120)\/((-2)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**2 - 295*i - 3822. Calculate s(-13).\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104402343 (base 5) in base 14?\nAnswer: c1b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (-2*2*sqrt(112) + -2 + (sqrt(112) + 1 - sqrt(112)) - (4 + 2*sqrt(112) + -6*(sqrt(112) + 0)))**2).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 4*a - 2. Let u(i) = i**3 - 3*i - 1. Let j = 5 + -7. Determine j*m(q) + 3*u(q).\nAnswer: -q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/((6\/3)\/2) - 3. Let o = h + -34. Which is bigger: 20 or o?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12799 + -4?\nAnswer: -12803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 6)*9\/(-4). Let d = -7 + m. Suppose 3*n - d*i = -n + 2, 5*n + 3*i = -3. Which is the closest to n? (a) -3\/4 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 55 - 1\/60*w**6 + 1\/6*w**3 + 1\/24*w**4 - 1\/20*w**5 + 0*w**2 + 2*w. Determine c so that p(c) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 - 7*l**2 + 5*l**2 + 3*l**2 to the form j*l**2 + x*l + m and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222 + 1773\/8. Suppose -81*z = -33*z. Which is the smallest value? (a) 1\/120 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 0)*4\/(-2). Suppose -2*c + 5*j + 29 = 0, 3*c - 13 - 19 = -m*j. What is the lowest common multiple of 8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**2\/2 + 13*y + 4. Let l be k(-10). Solve 0 = -t + 5*j - 5 - 7, l*t = 2*j - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3608730 and 3608730 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7174093781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-145)\/3)\/(485\/(-528165))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*z - 3*z**2 + 6 - 2847*z**4 + 2848*z**4 to the form c*z**3 + j*z + s + o*z**2 + k*z**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 202385 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*a + a + 250, -3*s = -2*a - 150. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-3\/4)*p\/p**(-1\/4) assuming p is positive.\nAnswer: p**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -68, -1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynyffnnnnfnu. Give prob of sequence nnu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 68*s**2. Let c(i) = 16626*i**2. Calculate c(p(l)).\nAnswer: 76878624*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p = h - 116, 3*p - 2*h - 87 = 0. Let l = p - 16. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000431890976 rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 29 + 1. Is (264\/(-15))\/((-12)\/f) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 30. Suppose -233 = -4*i - 5*j, 3*j = -4*i + 2*j + 229. Let d = i - 19. What is the highest common factor of h and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84180*h**4*u - h**3*u - 1031*h**3 + 3*h**2*u - h**2 + 5155*h*u + 5460*u wrt h?\nAnswer: 2020320*h*u - 6*u - 6186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 p when four letters picked without replacement from {e: 3, p: 1, a: 4, j: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -120641 (base 7) to base 9\nAnswer: -33068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 15*v + 24. What is the remainder when h(21) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/4968 and -61\/21060.\nAnswer: 968760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.67 - -10.666315. Round v to 4 dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 44. Does 7 divide r*4\/(-16) + 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -14. Let j be (-4)\/(-18)*u\/(-16). Put 3\/4, 4, j in decreasing order.\nAnswer: 4, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -380, -4, -2 in descending order.\nAnswer: -1, -2, -3, -4, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-27)*3\/(-11))\/(10\/(-2090)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 2\/7, -1, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 16) to base 10\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 = -p. Suppose -f = -p*f. Let h be f\/(-2) - (-5 + 8). Let b(l) = l**3 + 2*l**2 + 2*l + 2. What is b(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60462 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*s + 6. Solve -s*q - 6 = -3*b, -4*b + b = -4*q - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 782464480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + w**2 - w + 1. Let a be 4\/3*(-1740)\/464. Let l(j) = 2*j**3 - 3*j**2 + 7*j - 5. Let t = 129 + -130. Determine a*o(r) + t*l(r).\nAnswer: 3*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-39))\/(((-6)\/304)\/((-117)\/(-156))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 366, 824, 1466, 2292, 3302, 4496?\nAnswer: 5874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 14 = 5*h + 11, -4*r + 11 = 5*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (153\/(-36) - -6)*-4 - 84\/(-10).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139378 + 263454. Suppose -17*g - 45924 - m = 0. Round g to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2340074 is divided by 7645?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 1 - 2 + 0*r - 5*r**2 to j + f*r + u*r**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-54)\/(-63))\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1777177ns to seconds.\nAnswer: 0.0000000001777177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -230*f + 2545. Calculate the remainder when p(9) is divided by 82.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.4 and -687594042.\nAnswer: -687594043.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-45)*15735\/(-23078)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/15 + 9*c**4 + 486*c**3 + 123*c**2\/2 + 61*c. Let a(n) be the first derivative of y(n). Factor a(s).\nAnswer: 4*(s + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*-1*(sqrt(363) + 4) + -2)**2 + 4 + 0.\nAnswer: 7524*sqrt(3) + 30851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42970 = 2500*t + 113267 - 13737 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2015 and 1302155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-54498)\/9)\/(-1) + 2 + 20\/(-15)?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384*l + 40099 = -760*l - 178589 for l.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -0.72.\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2773448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -341.491179 to the nearest integer.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Suppose m + x - 15 = 0. Calculate the least common multiple of m and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (5 + 13)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwwww. What is prob of sequence wwyy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2685?\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 14*p = -88, 5*p + 29 - 5 = -3*n - 20 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 m when three letters picked without replacement from mmmmzzm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 576 divide 414720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**2 - 66*t**2 - 56*t**2 - 5*t**2 + 34*t**2.\nAnswer: -79*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9*(-9 - -70)*-1 is divided by (-1)\/(1 + 20\/(-19))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118163130.\nAnswer: 2, 3, 5, 3938771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-70)\/(-24))\/((-6)\/(-16)). Which is greater: z or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 + -517\/5. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 3*p + 32, 4*v - 13 = p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 6*h - 5. Let r be g(-7). Let q be (3\/6*4)\/1. Solve 4*l**q - 4*l**3 - 5*l**r + 1 + 3*l + l = 0 for l.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 71, 1, 3\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79099 rounded to the nearest 1000?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 4. Let j be p(-8). Let y(v) = -v**2 - 5*v - 2. Let h be y(j). Let q = -21 + 37. Solve h*b - q = 6*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -24*u**3 - 2*u**2 + 3*u - 1. Let b(y) = -2*y**3 + y**2 - 1. Determine b(q) - g(q).\nAnswer: 22*q**3 + 3*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e05 (base 16) to base 11.\nAnswer: -8940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-699 - 249*i**3 + 699)*(-6 + 2 + 3)*(-5 - 3 + 7).\nAnswer: -249*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 4. Let i be b(-4). Suppose -m - 2 = 0, -6 = -2*u - m - 0. Suppose -u*k - 3*g + 15 = i, 0 = 4*k - 3*g - 0*g - 9. Solve -5*a - 2 = k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 7*j + 6. Let u be z(-5). Let w = u + 1. Let t(l) = -10*l. Is t(w) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 25 = 0, -2*v + y - 8 = -3*v. Let x(b) = -b**3 + 0*b**2 + 5 - v*b**2 + 6*b**2 + 2*b - b. Let j be (-2 + 1 - -1) + 4. Calculate x(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**3 + 36*u**2 - 2*u - 39. Let k(d) = -6*d**3 - 30*d**2 + 2*d + 40. Calculate 5*c(z) + 6*k(z).\nAnswer: -z**3 + 2*z + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*a + 9*a - 928, -2*a + 1240 = 4*w. Find the third derivative of 312 - w - 56*z**3 + 145*z - z**2 wrt z.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-1))\/(-5))\/(4\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12052684.\nAnswer: 2, 7, 430453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.85 + -4.8393. Round b to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 462\/56) + (4 - 5)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 7*b**2 + b + 1. Let z(i) = -2*i**3 - 8*i**2 - i - 1. Let l(s) = 7*w(s) + 6*z(s). Let d = -16 - -26. Let p be (4\/(-6))\/(d\/15). Give l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2785 and -2785 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -a8cb8 (base 16) to base 6\nAnswer: -22452504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8)*4)\/(((-253)\/(-759))\/(1\/(-3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fjjjjjjjjgjfjfjdjffj.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 5, 11, 17?\n\"Answer: 6*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**6\/1260 + y**4\/84 + 5*y**3\/3 - 14*y**2. Let n(p) be the first derivative of o(p). Suppose n(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 - 2*j**2 + 1149*j + 60405 wrt j.\nAnswer: 6*j**2 - 4*j + 1149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**3 + 147*g**3 - 12*g**3 - 100*g**3 - 23*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1406\/67107?\nAnswer: 1406\/67107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 826885?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 - -100231?\nAnswer: 100401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1570655 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495626 is divided by 1203.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 31\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406 = 1202*r - 1173*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/225 + (-12)\/27. What is the nearest to -1\/24 in c, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 194, 3.\nAnswer: -2, 3, 4, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q. Let s(u) be the third derivative of u**6\/40 - 5*u**3 + 58*u**2. Let o(d) be the first derivative of s(d). Give o(t(p)).\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {z: 1, x: 2, n: 2, e: 1, k: 1, o: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*v + 22 = 0, v + 4*v - 10 = 0. Solve -5*b - 26 = -d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000100111101 - -1111011001?\nAnswer: 10010010100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 35*c**2 - 4*c - 3. Calculate j(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 2 - 6) + 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -12*u + 4. Which is smaller: 3.61 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 17 = 4*b - 9, 5*b - 2*m = -13. Let l be b\/8 + (-1598)\/(-752). Suppose 0*w + 3*w = 9. Solve -t + 6 = -2*p + p, -l*t + w*p = -13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2701*c + 2698*c - 42 = 0, -4*x - 47*c = -5 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3469 divide 412103324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(272)*-2 + sqrt(272) + (-5 + -1 + sqrt(17) + -2)**2 - (((sqrt(102) - sqrt(102)*-2)\/sqrt(3))\/(sqrt(98)*2))**2.\nAnswer: -20*sqrt(17) + 15919\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from veveeveeeeeeeeeeeee?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -1247952 times 0.1?\nAnswer: -124795.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 45381291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from suuuuuususs.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 195*z + 81. Let k(n) = 5*n. Let h(r) = -18*k(r) + m(r). Find the first derivative of h(c) wrt c.\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 13) in base 8?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/121 + -7237\/4356. Find the common denominator of -143\/6 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 8*u + 68 = 0. Suppose 6 = 4*s + 2*q - u, -5*q + 1 = 2*s. Solve s*i + 29 = 5*a + 7*i, 0 = 2*a - 5*i - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3627611\/141 - 25728. What is the common denominator of 32\/101 and j?\nAnswer: 14241","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3270, 6539, 9808?\n\"Answer: 3269*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + i - 4*i**2 + 2*i + 1 - 3*i**2. Let p(s) = 19*s - 16*s - 2*s. What is -c(v) + 4*p(v)?\nAnswer: 2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 60. Put -2\/11, n, -2\/7, -5\/7 in descending order.\nAnswer: n, -2\/11, -2\/7, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2575*r - 7731. Determine p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 522118013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -150. Let x = p - -97. Suppose -12 = 3*h, x*h = -4*y - h + 44. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2372760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.9 and 78.\nAnswer: -1396.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -5 (c) 277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 + 6*x + 1. Let f be a(-6). Let n(t) = -1 + 9*t**2 + f + 0*t**2. Let p(q) = q**2. Determine p(n(z)).\nAnswer: 81*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 14 = -3*j. Let r be ((3 - 0) + j)*2. Find the third derivative of -34*u**r + 0*u + u**6 + 0*u + 35*u**2 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 e when three letters picked without replacement from {r: 3, e: 1, u: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2301*i. What is the units digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*f - 181536, -12*f - 25521 - 10866 = -o. What are the prime factors of o?\nAnswer: 3, 12101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 2, -2, 5\/142 in descending order.\nAnswer: 2, 1, 5\/142, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12326*a - 6172*a - 6259*a.\nAnswer: -105*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((70\/(-48))\/((-20)\/16))\/((-13433)\/(-202)).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*a - 2*a**3 + 268*a + 283*a - 826*a + 8*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 483, 317, 151, -15, -181?\n\"Answer: -166*d + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4496.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -5, -21, -53, -107, -189, -305?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 432383461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10 = 28. Suppose 0 = 3*r - 0*r - f. Suppose -2*q + 4 = -r. Solve q*n + 5*h + 5 = 0, 1 = 3*n + 2*h + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 3. Let p be d\/(-1) - 20\/(-12). Suppose -p*j - 4\/3 - 2*j**2 = 0. Calculate j.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 173073, 346153, 519233, 692313, 865393?\n\"Answer: 173080*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from lllllplllllllllpllll.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/20 + n**4\/3 - n**3\/2 + 5*n**2\/2 - 4*n. Give g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5148872 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10818177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 303.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613634 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 - 6*j**2 + 3*j - 2. Let y(u) = 17*u**3 + 25*u**2 - 13*u + 9. What is -26*w(t) - 6*y(t)?\nAnswer: 2*t**3 + 6*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/6)\/(4\/120). Let u(n) = n**2 - n - 1. Let y be u(-2). Suppose -d + 2*d + 4*o - 3 = 0, -o = y*d - 15. Solve 0 = 2*h - b, d*h - 6*h = 2*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8321005909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -203725152636483.\nAnswer: -203725152636480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12069 - -12094. Suppose -m = -4, -2*d + m + 13 + 39 = 0. What is the third derivative of 18*j**2 - d*j**2 - 21*j**3 - g*j**3 wrt j?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 5:29 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrwwrwwrrwrr. Give prob of picking 2 r.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -1.3 (c) 2 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -223\/4 (b) 3\/40 (c) 0.3 (d) 1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24609510?\nAnswer: 2, 3, 5, 271, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(720)*1 + -4 + sqrt(720) + 0 + sqrt(720) - ((sqrt(5) - ((sqrt(45)*-1)\/sqrt(9) + sqrt(5))) + (sqrt(5) - sqrt(125)*-1)))**2.\nAnswer: -616*sqrt(5) + 29661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.436967 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**4 + 2033*z**3 - 2*z**2 - 58672 wrt z?\nAnswer: 8*z**3 + 6099*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + q - 17 = 2*q, -2*l + 4*q + 14 = 0. Suppose 2*n - 2*j = 3*j + 4, j + 6 = l*n. Suppose 4*o - n*o - 6 = 0. Solve 1 - 7 = -o*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 2)*(-1)\/1. Suppose y = w - j - 12, 4*w - 6 - 18 = -2*j. Calculate the smallest common multiple of 4 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (8 - (-7 + 19))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -799.674 rounded to the nearest ten?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 702 - 698 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -632, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + 8. Let x = s - 56. What is the third biggest value in 5, x, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + (-10)\/(-15). Let i be 7 - (-1 + (s - 0)). Let u be -1 + 46\/39 - 24\/(-156). Which is the second biggest value? (a) u (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8211217909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 232?\nAnswer: -22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11892768*f - 6966. Let o(u) = 6831*u - 4. What is 2*g(s) - 3483*o(s)?\nAnswer: -6837*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3004638905 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 675001765 to the power of 1\/3, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*z + l, 2*z + 0*l - 9 = -l. Is -27*(z\/2)\/(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqx when four letters picked without replacement from qqqqxqxqxq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 41*r + 2254. Determine d(-55).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 109134643.\nAnswer: 1\/109134643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i - 3*i**2 + 5*i + i**2 - 7 + i**2. Let c be f(11). Let q be (4\/(-5))\/((-2)\/5). Solve 5*j - 28 = -h, 3*h + j - q = c*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -6 (c) 0.3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 12*i + 2. Let w be d(-12). Let c(a) be the second derivative of a**4\/12 + a**2\/2 - a. Determine c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 2. Let l be v(-5). Suppose 396 = 3*m - 5*j, -2*m - 7*j + l*j + 242 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 - -670. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 13*c**2 - 13*c - 12. Suppose -2*v + 84 = -9*v. Let s be n(v). Suppose s = 19*d - 23*d + 160. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 153 - 163. Which is the closest to 0.2? (a) -4 (b) -11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-9 + 3) - 0 - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.1 - 1.2. What is the third biggest value in -0.1, s, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1209 + -1206)\/(102\/4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13755298 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -565*o**4 + 16*o**3 + 170341*o**2?\nAnswer: -13560*o + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Suppose 178 = -3*k + 2*m + 800, 4*k = -4*m + 856. Suppose -2*s = w*u - 95, 0 = 4*s + u + 29 - k. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 2, t: 6, q: 2, o: 1}. Give prob of sequence bbo.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113834766?\nAnswer: 2, 3, 199, 95339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-80)*-5)\/56?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/12*-2 - 250500\/648. Let w = y + 386. Let t(p) = p**2 - 3*p + 1. Let v be t(3). Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 219 - 3 = 0. Calculate the smallest common multiple of 63 and d.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (12 + -15 + -18)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 12, -1400*s + d + 6 = -1399*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -369 - -0.9\nAnswer: -368.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**(-1\/12)*(u\/(u**(3\/2)\/u))\/(u*u**(-3)*u*u) assuming u is positive.\nAnswer: u**(25\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67\/3 + -139\/6. Let r be ((-6)\/(-2))\/(-3) + 3. Suppose 3*v + 1 = -5*w - 5, r*v = w - 4. Are w and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -4606.201\nAnswer: -13818.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (12\/(-14))\/((-57)\/(-532)). What is the third smallest value in i, -4\/5, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {t: 1, o: 3, i: 1, v: 10, d: 3, h: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -64, -80, -82, -64, -20, 56, 170?\n\"Answer: n**3 + n**2 - 26*n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -45, 1\/9, 13, -5, -0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4\/7, 281 in increasing order.\nAnswer: 0, 4\/7, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 4. Let h = 86 - 50. Suppose -4*n + h = -0*n. What is the remainder when n is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -119. What is the tens digit of 2564*(3 + 10\/f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3092729*s**2 + 170461*s wrt s.\nAnswer: -6185458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.466902 to three dps.\nAnswer: -3.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a + 5 - 5)*(-3 + 3 + 16*a) - 276*a + 276*a + 39*a**2.\nAnswer: -121*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -873 + 894. Let i(m) = m**3 - 22*m**2 + 5*m + 132. Let u be i(c). What is the second biggest value in u, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, -4, -71, -107, 36\/7, 1\/4, 1\/9?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*l - 2*l**2 + 0*l**2 + 225*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 21.3. Let c = -20 - n. Let o = -0.3 + 2.3. Put 0.2, o, c in increasing order.\nAnswer: 0.2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -717\/5. Let y = -1.9 + 2. Let n = 0.5 + -0.1. What is the biggest value in a, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvga when four letters picked without replacement from avgkm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -10\/14009 (c) -3\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/8*28\/(-2). Let t(l) = -l + 5. List the prime factors of t(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -959 - a?\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(2 + 0). Let j(t) = -4*t**3 + t**2 - t + 2. Let l(a) = 8*a**3 - a**2 + a - 3. Let b(c) = -5*j(c) - 3*l(c). Determine b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -2866565?\nAnswer: -2866568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-31)\/(-3) - (-12)\/18. Let o be (-2)\/11 - 10908\/(-99). Let x be (126\/(-84))\/((-1)\/o). What is the greatest common divisor of x and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 566, 850, 1134, 1418, 1702?\nAnswer: 1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*o - 501 = 0, -3*o + 46 - 49 = 0. What is the remainder when z is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmccjcnnanamajjn. What is prob of sequence nj?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 4*n**2 + 4*n + 6. Let r be k(5). Let f be r*2\/(-4)*-12. Calculate the greatest common factor of 66 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3.32, 0.8, -38\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 10:53 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. Suppose 9*t + 8 = -v + 5*t, -v + t + 17 = 0. What is the smallest common multiple of (-9)\/(p\/60*-6) and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/192 and 37\/68368.\nAnswer: 820416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 21*f + 60074 = -20*f, 12 = 3*f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.318967 rounded to 2 decimal places?\nAnswer: 5.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 2. Suppose 2 = -3*n - 7. What are the prime factors of j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1150 and 690.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8\/5)\/j)\/j*j**(-24)*(j\/((j\/(j*j\/j**(-2\/23)))\/j))**(2\/141) assuming j is positive.\nAnswer: j**(-446824\/16215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1905 + -1909. Let o = -12 - 2. Sort o, w, -0.5 in descending order.\nAnswer: -0.5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/8 - 11421*p**2\/8 + 6164253*p\/8 - 902811171\/8.\nAnswer: 3*(p - 3193)*(p - 307)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -3\/2, -0.1, -2\/33, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(43\/86).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.2541 take away 4?\nAnswer: -123.2541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(90)\/(sqrt(24)\/sqrt(4)))\/(sqrt(33)\/sqrt(44) + sqrt(3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/8 - 70*j**3\/3 + 867*j**2\/4 - 657*j + 233. Determine f so that w(f) = 0.\nAnswer: -146, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16, -1, 0 in decreasing order.\nAnswer: 2, 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 185061 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((5 + -3)\/1)\/1. Let t(c) = 7 + 5*c**2 + 3*c**y - 6*c**2 + c**2 - 9*c. Is t(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 1. Let y be s(11). Let j(r) = 17*r**2 + 4*r + 5. Let f be j(-2). Let x be (-42)\/y + (-13)\/f. Let d(i) = 2*i**2 - 6*i + 2. What is d(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*n. Let x = 0 - -2. List the prime factors of 12 - n\/(x + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011111 (base 2) to base 11.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/30*5)\/(4\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 22, 21, 20, 19, 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let s(m) = -383*m + 83. Let k be s(5). Let d = -5504\/3 - k. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5*z**2 - 4*z + 1. Let v be j(-4). Suppose -l - v = -2*l. Is l + (-29)\/(-2)*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 - 26 = 0. Is -5 not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 + 87.9. Let m(j) = -6*j**2 - 2*j - 1. Let h be m(-1). What is the nearest to l in h, 3\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 8. Let k be (-2)\/(-3) + (-4)\/s. Suppose q + 3*q - 8 = 0, k = -3*z - q + 20. Solve u + 2*u = z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 1:33 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 44.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(3) + 3)**2 + 2 - ((3*sqrt(54)\/sqrt(2))**2 - sqrt(27)).\nAnswer: -227 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 19\/60*p**5 + 0 - 7\/24*p**4 + 0*p - 1\/24*p**6 - 2\/3*p**3 - 31*p**2. What is the second derivative of m(x) wrt x?\nAnswer: -30*x + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9910554 is divided by 487.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3404 + 5*n**3 - 3404.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000691938738 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 578.7 - 588. Let n = -8.3 - g. Which is smaller: 0.519 or n?\nAnswer: 0.519","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 330.4843 to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, r: 4, i: 3, c: 6, b: 3, t: 2}. What is prob of picking 3 r and 1 c?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/83 - 254\/415. Which is the smallest value? (a) 4 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 945 and 405.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 5) in base 9?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 810930053256\/90859783 + 1\/25959938. Let k = -8930 + n. Calculate the common denominator of 57\/4 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -75*m**3\/2 + 8*m**2 + m - 6. Is n(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 54621432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 629597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 73692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 10*x = -9*x + 20, 3*w + 3*x = 84 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -28 + 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4427 + 67571 = 54*d - 78*d. Which is smaller: d or -2628?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, o: 3, d: 1, c: 2, t: 4, h: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-4\/5)*w*w**(-22) assuming w is positive.\nAnswer: w**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.41177m to nanometers.\nAnswer: 13411770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6*(-36)\/27)\/(-115 + (-94560)\/(-810))?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*p - 9*b - 30, -p = -4*b - 9. What is the closest to -2 in -0.2, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7 = 2*q - 2, 5*z = -2*q - 23. Let h = -7 + 14. Let r = h + q. Solve 0 = -t - r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-9 - 1 - (228 + -228))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5862799 and 1.\nAnswer: -5862798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1035\/46499?\nAnswer: 1035\/46499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7631958 + -66986.\nAnswer: -7698944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Solve 3*f + c = -11, 3 = w*c - 0*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11573949 to three decimal places.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 109 + -4245322557\nAnswer: -4245322448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1587*d - 10725 = 9906 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 330?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 3. Let l = 65.1 - 63.1. Sort c, 1\/7, l, -2\/7.\nAnswer: c, -2\/7, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7738 + -7738. Let y(u) = 4*u**2 + 1. Let b be y(1). Solve 4*h = -3*g + 2*g + 4, k = b*g + 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1312 and 61\/1947872.\nAnswer: 79862752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 10:07 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -1\/2, 4, 170, 3, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1949 - -1949.3. Let f = 2\/385 + -788\/3465. Which is the second smallest value? (a) 2 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3018 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = -98911160. Let d = o - -12582232. Round d to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -156, -155, -156, -159?\n\"Answer: -b**2 + 4*b - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99773580 and 480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1040\/9, 3\/2, -1\/850?\nAnswer: -1040\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 781782*x**5 - x**3 + 30*x**2 - 4413 wrt x.\nAnswer: 46906920*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(32\/(-6)))\/(15\/(-5))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104326 - 69118. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50801062057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*((-96)\/(-432))\/(2\/12). Suppose z - 27 = 29. What is the highest common divisor of z and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 48151305?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65363?\nAnswer: 163, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -47*z**4 - 11*z + 3. Let c(v) = 93*v**4 - v**2 + 22*v - 7. Let a(l) = 3*c(l) + 7*o(l). What is the third derivative of a(x) wrt x?\nAnswer: -1200*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 (base 13) in base 3?\nAnswer: 112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15661451 - -410?\nAnswer: 15662061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**3\/3 + 50*q**2 - 500*q + 5000\/3 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4\/4 - 1813*s**3\/2 + 18055*s**2 - 90150*s = 0.\nAnswer: 0, 10, 3606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 43*q - 66. Does 27 divide w(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20 - (9\/(-3) + 4). Suppose -3*f + 135 = -3*t, 241 = 5*f - 4*t + i. Suppose -5*m + 43 + 5 = u, f = u + 3*m. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17658 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23222330 - -11?\nAnswer: -23222313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -134 + -3459081423.3\nAnswer: -3459081557.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 4*w**3 + 0*w**3 + (-w + 0*w + 2*w)*((0 + 3 - 5)*(8 + 6 - 5) + 4 - 6 + 4)*(6*w**2 + 0*w**2 + 39*w**2).\nAnswer: -723*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2396*r + 48. Let f(g) = -3340025*g + 66920. What is 6*f(d) - 8365*x(d)?\nAnswer: 2390*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 461563 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l + 77*l - 4*n - 1003 = 0, 2*l + 4*n - 682 = 0. What is the remainder when l is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 l when four letters picked without replacement from eeelllleee?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (-925)\/(-115) - -2. Let u = 39\/161 - f. Let 0 + 4\/7*q**2 - 4\/7*q**4 + 0*q**3 + 2\/7*q - u*q**5 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -540797*m**3 - 14*m - 23153281 with respect to m.\nAnswer: -1622391*m**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4*13272\/99. Let b = -66033749\/369424 - 60148\/2099. Let v = b - j. Find the common denominator of 5\/4 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410, 334, 224, 62, -170, -490?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18381920*d**2*p**2 + d**2*p + 6*d**2 - d*p + 2*d + 2*p - 31381 wrt p?\nAnswer: 36763840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 46 = 53. Let f(l) = -2*l - 6. Let g be f(-4). Let z be 2 + 1 - (-2 + g). What is the greatest common divisor of z and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjfjfjfjfff. Give prob of sequence fjf.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23029\/5604572 - -5\/1289. Let h = v - 51085\/17392. Calculate the common denominator of h and -21\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360309701 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 48*l**2 + 45*l + 197. Let c be r(49). Let h(t) = 11*t - 1. Give h(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.036 + -26.036. Let u = -26.00000031 - o. What is u rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjfbpbfjbfuuffpj. Give prob of sequence pup.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**0\/h*h**(4\/5)*h*h*h\/(h\/h**3)*h**(-2)*h*h assuming h is positive.\nAnswer: h**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -126*g - 1. Let p be r(-3). Let o = p - -113. What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 330?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1723 + -1076. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**2\/2 - 12*i - 238. Let j = 22 + -7. Let c be n(j). Solve 5*k = c*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1725*y**2 - 1642*y**2 - 4504*y**2 - 694*y**2 to u*y + i*y**2 + r and give i.\nAnswer: -8565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*r + 5*r. Let h = r - -7. Calculate the remainder when 5\/((-1 - 2)\/h) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5972, -5549, -4844, -3857, -2588, -1037, 796?\nAnswer: 2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/4, 6, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28613 < -28612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h - 27812 = -4*m - 33*h, 0 = -5*h + 15. What is the remainder when m is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 5. Let l be s(8). Suppose -3*i - 2*i = -l*n + 61, 0 = 4*n + i - 66. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 1:45 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 27 (b) 5\/2 (c) -7.1 (d) -0.2 (e) 4 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953*g + 185*g = -18505 + 5449 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 50*m**3 - 2*m**2. Let u(p) = -20*p**3 + p**2. Let y(j) = -5*i(j) - 12*u(j). Find the third derivative of y(o) wrt o.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**6 - 5*h**5 + 113*h**3 - 3*h**2 - 2*h + 1190 wrt h?\nAnswer: 720*h**3 - 300*h**2 + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77.2 + -77. Let s be 28\/7 - 9000\/(-26). Let y = s + -350. Which is the second smallest value? (a) 0.4 (b) y (c) n (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 43, 111, 233, 427?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/7 + 702*m\/7.\nAnswer: 3*m*(m + 234)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99939*n**2 + 99970*n**2 + 99939*n**2 - 299877*n**2.\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7 + 2 = 0. Let l(z) = 5*z**2 + 0*z**2 - q*z**2. Let r(m) = 2*m + 4. Let g(o) = 3*o + 7. Let f(n) = 4*g(n) - 7*r(n). Calculate l(f(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64, -660, -2286, -5458, -10692, -18504, -29410, -43926?\n\"Answer: -86*m**3 + m**2 + 3*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9 = 2*b. Suppose 0 = 4*v - b*v + 10. Let k be (-3)\/((-36)\/26) - v. Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2352 and -4199.\nAnswer: -1847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 18*b**4\/5 + 62*b**3\/5 - 32*b**2\/5 - 168*b\/5 = 0.\nAnswer: -3, -2, 0, 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -57, -0.5, -0.2, 1\/9.\nAnswer: -57, -0.5, -0.2, 1\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772212 is divided by 1604.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - m = 4, -3*p + 6*m - 3*m = -12. Suppose p = 25*j - 37*j + 72. Let o = -1 + 7. What is the greatest common divisor of o and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1713541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 1, 1\/11, 1\/1533, -0.4, -86\/3?\nAnswer: 1\/1533","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 31*j**2 + 261*j + 188. Determine c(38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -373*q + 401*q. Let a(o) = 3*o - 5. Let r(s) = -1. Give q*a(x) + 3*r(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27 + 1 - (-4 - -2). Suppose o + 16 = 3*y - 9, 0 = -3*o - 2*y - 31. Let d = o + 19. Calculate the highest common factor of p and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 92*d**2 + 156*d + 1. What is the units digit of i(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 6*i + 3. Calculate u(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 48. Solve -b - l = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/7 + (-53)\/(-7). Let w(j) = 4*j + 29. Let s be w(i). Calculate the highest common factor of 6 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5445 a factor of 704212740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/72)\/(2\/(-8)). Let x be (0 - 5)*(-11)\/11. Solve -g*n = -3*j, -4*n - 2 = -x*j + 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 3. Let g(r) = -2*r - 5. Let p(i) = -3*g(i) - 5*h(i). Let f be p(2). Solve -a = a + f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -84.04 (c) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.4 + 7. Let g = 316.15 - 316. Put l, 0.1, -5, g in descending order.\nAnswer: g, 0.1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (-2*(1 + sqrt(243)*-1 + sqrt(243)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 130\/25 + (-4)\/20. What is the nearest to o in 2, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14500238 + 0.145. Round y to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 283*x**2 - 284*x + 6. Determine q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 1400884?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*n + 8 = 0, -2*u - n + 18 = -u. Solve -4*p = -4*m + 24, 2*m + 3*p + u = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 1. Let b(x) = x**3 - 10*x**2 - 6. Calculate -b(k) + 6*j(k).\nAnswer: -k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 20 = 2*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 - (-4 + 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*v. Suppose v = q + 16 - 46. Factor -5*c + 91 - q*c**2 - 91.\nAnswer: -5*c*(6*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 12:38 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 5*j = -552. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.54 - 0.33. Let z = f - 0.21. Let q = -1 - 0. Which is the second smallest value? (a) -4 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -46.8. Let b = 31\/90 + 1\/18. Let v = 1.1 + -0.1. What is the nearest to v in c, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 (base 16) in base 14?\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203920 and 3466640?\nAnswer: 3466640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/45 - 49*u**4\/27 + 2*u**3\/27 + 98*u**2\/9 - 2676*u. Factor t(o).\nAnswer: -4*(o - 1)*(o + 1)*(o + 49)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 27*s**2 + 5*s - 993. Determine n(0).\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 15*y. Let t(s) be the second derivative of -s**6\/180 + s**3\/2 - 9*s. Let q(j) be the second derivative of t(j). What is q(g(a))?\nAnswer: -450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*g**2 + 4*g**2 + 8*g**2)*((2*g**2 - 2*g**2 - g**2)*(-4*g + 0*g + 10*g) + (g - 4*g + 0*g)*(3*g**2 - g**2 + 0*g**2) + g**3 - 5*g**3 + 3*g**3).\nAnswer: 182*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*h + 382*h = 0. Solve -2*b + 0 + 4 = h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 77.29877 nanometers?\nAnswer: 0.00007729877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) - (sqrt(684)*-3*-2)**2.\nAnswer: -24624 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 6*h. Let i(q) = q**2 + 9*q + 14. Let k be i(-4). Let y be s(k). Let l = 331\/3247 + 3\/191. Is l <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:15 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 76*t - 4*t**2 + 3*t**2 - 82*t - 6. Let n be j(-4). What is the second derivative of 32*l - 10*l - 12*l**n - 3 + 3 wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 * -2\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*y - 774805, -2*y = -37*o + 37*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1222 - 1224.7. What is the nearest to 8 in x, 1\/2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:16 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.34355 less than -0.36?\nAnswer: 49.98355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 222177424 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/13 - 5254*b**2\/13 + 5260*b\/13 + 10512\/13 = 0. What is b?\nAnswer: -2628, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1))**(2\/31)\/(z**1\/z*z**4))\/(z**(6\/5)*z**(-3\/2)\/z)**(-2\/67) assuming z is positive.\nAnswer: z**(-1353\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 296, 289, 258, 191, 76?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*i**2 - 918*i**2 + 781*i**2 - 577*i**2.\nAnswer: -1283*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -201 - -203. Solve -h + i*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2676*a + 170139 = 2133*a + 64341 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**3 + f**3 + 11*f - 11*f.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gal when three letters picked without replacement from ugameal?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*b**5 - 537*b**2 wrt b.\nAnswer: 7140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + -1.5. What is the second biggest value in f, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 - 2.28. Let t = -0.2199987 + o. Round t to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 89 = 6*v + 54 + 19, -a - 10 - 4 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*b + 23*b + 3 - 3.\nAnswer: -256*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -207916*a**3 + 296861?\nAnswer: -623748*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4 - 10*i**3 + 28*i**2 + 72*i - 144 = 0. Calculate i.\nAnswer: -6, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/20 and -2 + 1518\/(-180) - (-4)\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 1, z: 1, q: 2}. Give prob of sequence bz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.504386091 and -20.\nAnswer: -7.495613909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*(1 - 15). Let z be (-8)\/((-2)\/((-3)\/(4 - x))). Let y be (16\/2 - z - -18499995) + 1. Round y to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (2 - 16) - (-209 + 180 - -36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(4\/24*-38)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -86*w**3 + 3*w - 3. Calculate l(1).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**2\/2 - 2. Let i be -3 + 135\/(-18)*(-4)\/6. Let o(c) = 36*c**2 - 96*c**2 + 30*c**2 + 40*c**i. Calculate x(o(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hesh when four letters picked without replacement from ecwhllcchheehcscchl?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10400080 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72038.12um in centimeters?\nAnswer: 7.203812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -16.3. Let n = 0.05 - 4.05. Let j = g + n. What is the third biggest value in j, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 4*d**2 + 3*d - 6. Let a be n(-5). Let m(i) = a + 7*i - 2*i + 2*i + i**2 - 9*i. Is m(4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 1. Let p(r) = -1. Suppose 4*v = -3*q + 1, -5*q = -7*v + 10*v + 13. Determine v*p(d) - 6*b(d).\nAnswer: -6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) 2 (c) 0.14 (d) -1\/4 (e) 5 (f) 0.3 (g) -1510\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*38\/(-494)*((-13)\/2)\/(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/18, 222, 0.3, -1\/7?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 2.6. Let l = j - 1.98. Let n = l - 5.02. Sort n, 1\/3, -1\/11.\nAnswer: n, -1\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 241.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 + 1839\/16. Calculate the common denominator of -101\/448 and g.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7664 divided by -958\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b7b2 (base 14) to base 16\nAnswer: 7be0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (-1*sqrt(90))\/sqrt(6))\/(sqrt(45)\/(sqrt(36)\/sqrt(4))) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - 0. Let f be 6\/8*192\/(-72). Sort 5, -3, i, f in descending order.\nAnswer: 5, i, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 7*p + 344. Calculate s(-16).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*f + 2*j, 11 + 18 = 5*f + j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 382731244 + -40188301316\/105. Let j = x + 14483. Let n = 2\/105 + j. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/9 + 0 - 50\/(-6). Let i(a) be the first derivative of 3\/2*a**2 + w + 0*a. Let p(j) = -4*j**2. Give p(i(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7029244 is divided by 113?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144350251?\nAnswer: 11, 3469, 29989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 101*v - 98*v + 3, 8 = 2*j + v. Suppose -2*z + 9 = -39. What is the greatest common divisor of z and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and 0.04074.\nAnswer: 0.74074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10501937291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*m - 31, -5*x + 3*m + 56 - 27 = 0. Let s(y) = -2*y. Let l be s(1). Sort l, 0, x, -3 in decreasing order.\nAnswer: x, 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c + 3. Let w(m) be the third derivative of -m**4\/24 + 3*m**3\/2 + 11*m**2. Let u be w(7). Calculate k(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0*r)**(-2\/33)*(r**(-2\/3))**(-4\/3))\/(r**(1\/2)\/((r*r\/(r\/r**(1\/7)))\/r*r)*(r*r\/r**(1\/2)*r*r)\/r**6) assuming r is positive.\nAnswer: r**(2710\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -5*s**4\/6 + s**3\/6 + 1830*s**2. Let f(d) = -15*d. Give n(f(v)).\nAnswer: 300*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/15266, 3, 2\/13, -2\/259, 0?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3. Let a(u) = -2*u**3 - u**2. Let y(j) = -4*a(j) - 7*x(j). Let k be y(-3). What is the second derivative of -9 + v + k + 4*v**4 wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77811 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41114214 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 2, t: 7}. What is prob of picking 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/5762 or 0?\nAnswer: 3\/5762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 30*m**2 + 65*m - 2417. Determine b(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 95017258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/11 in 0.1, -0.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 427 by -7.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -674 - -5917. Which is greater: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -355 + 358. List the prime factors of ((-22)\/4)\/(h\/(-174)).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*1 - sqrt(1100))*3 + 0 + 0 + sqrt(1100))**2*-3.\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 1\/2*m**3 - 8*m - 5*m**2 + 0. Let g(y) = 16002 - 16002 - y**2. Give u(g(z)).\nAnswer: -3*z**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243 + 243.394. Let p = o + -0.394988. Round p to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-38))\/(14\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i + 20. Let j(q) = 2*q - 10. Let z(a) = -5*j(a) - 3*l(a). Let u(h) = -h**2 - 52*h - 220. Let k be u(-47). Does 16 divide z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2. Let o(c) = 570181066*c. What is i(o(p))?\nAnswer: -650212896049792712*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1869 or 1877?\nAnswer: 1877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - k**4 - 3*k**2 - 1526*k - 2 + 1526*k to v*k + t*k**2 + u*k**3 + h + l*k**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 - 2*i - 6. Let x be n(-4). Suppose 49 = 2*p - x*q - 5, 2*q = -4*p + 114. 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 h = 21631 - 21631.3. Let q = -2 - -1.96. Let w be 9\/42 - 2\/(-7). What is the fourth smallest value in q, w, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + (-44 - -39) + -39?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104)*-6 + sqrt(104))\/(sqrt(8)*-1*-3).\nAnswer: 7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -20*h - 3. Let d(a) = 19*a + 4. What is 3*d(y) + 4*l(y)?\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53898871517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**4 + 16*o**3 + 24*o**2 - 16*o - 20 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34743634 is divided by 76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 360398720 divided by -4095440?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + m + 260 = 0, 2*i + 0*m + 5*m - 492 = 0. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 divided by -19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94\/11 - 577\/110. What is the common denominator of 55\/846 and p?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 2*h**2 - 4*h - 1. Let c be x(-3). Let v = -37 + 38. Calculate the greatest common divisor of c and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/172 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143222 + -143146.657. Let m = z + -75.2639953. Let s = m - 0.079. What is s rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 1, m: 1, j: 1, k: 1}. Give prob of sequence mmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 - 3*f - 1. Let w(m) = -13*m - 100. Let s be w(-8). What is the units digit of h(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 277616170 and 44720.\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 - r**2 + 3*r**2 + (-2*r + 6*r - r)*(-157473 + 157473 + 475*r) as k*r + g + m*r**2 and give m.\nAnswer: 1427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 14, 16, 20, 26, 34, 44?\n\"Answer: v**2 - 3*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*t - 862030 = -883804 for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -3327\/6247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n**(2\/3)*n)\/n)))**(2\/9)*n**11\/n**(-1\/8) assuming n is positive.\nAnswer: n**(2435\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1448980*b*l*o - 54*b*o - 14*o + 12 wrt l?\nAnswer: 1448980*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*f + 4 + 8 - 538*f - 11.\nAnswer: -470*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*(-8 - 0\/(-3)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 14*o + 16. Let y(f) = 4*f**2 + 15*f - 16. Let d(c) = -5*l(c) - 4*y(c). Let r be d(8). Let t = 4069\/6 + -680. Which is bigger: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - -112) + (-175)\/(-25) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -23, -6, 4, 0.1, -8 in increasing order.\nAnswer: -23, -8, -6, -0.5, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 12 + 13 + 0 = -2*d - 3*f, 32*f = 3*d - 259 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/4 - 165*h + 9075.\nAnswer: 3*(h - 110)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 607 - 613. Let b be (-20)\/15 - (-4)\/l - -4. Solve 2*s + r = 3*r, 5*r - 21 = -b*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25340 and 7?\nAnswer: 25340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 181*y**2 + 1. Let a(h) = 2*h**2. What is b(a(s))?\nAnswer: 724*s**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + -4 - (sqrt(11) + (1 + sqrt(11) - sqrt(11) - sqrt(11))*-6 + sqrt(11))) + 0)**2.\nAnswer: -24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1906 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(605)*-1 + sqrt(30)\/sqrt(54) + -4 + 2)**2.\nAnswer: -25645\/9 + 320*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 14. Let y be (-9)\/w*(-176)\/(-12). Suppose z - 139 = -4*r + 6*z, y = r + 3*z. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/24*0 + (-3 - -1). Let l(g) = -534*g - 38. Does 21 divide l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118908 divided by -36.\nAnswer: -3303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*t + 5*h, -4*t - 2*h - h + 29 = 0. Let k(z) be the third derivative of z**4\/24 - 2*z**3\/3 - z**2. Is k(t) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -105*f**3 + 91*f**2 + 91*f + 91. Let a(o) = 7*o**3 - 6*o**2 - 6*o - 6. Let k be (-2 - -3) + -5 - 2. Give k*v(y) - 91*a(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 6. Let v be 1 + f + 4 + 2. Suppose 4*l - 132 = -v*g, 9*g = 4*g - 4*l + 166. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**6\/360 + 29*h**4\/24 - 23*h**2. Let d(r) be the second derivative of u(r). Let f(s) = -s + s + 5*s**2. Determine d(f(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, 7\/4, -1\/3 in decreasing order.\nAnswer: 7\/4, 0, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.302, -2\/3, 4, 48?\nAnswer: 0.302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38980 - 38978. What is the closest to y in -1\/5, -2, -2\/9, 891?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28644936.\nAnswer: 2, 3, 23, 51893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11*c**2 + 3*c + 2. Suppose -6*l + 2*l - 4 = 0. Let q be d(l). Let w = -23 + q. Round w to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1292*b**2*o + 8128*b**2 - 32433447*b*o + o wrt b?\nAnswer: 2584*o + 16256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.2 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 16) to base 3\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - m - 4. Let t = 2 - -1. Let x be y(t). Suppose u - 6*j - 18 = -j, -x*u - 4*j = -8. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -0*t. Let d(n) = 1 - 3 - n + n + n**2. What is d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in -3.4, 2\/11, -3\/8, -0.3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82440 and 43680?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-2 - -4) + 7 + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37601520 rounded to the nearest 100000?\nAnswer: 37600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -33*z**2 + 13*z + 21. Let w(q) = 8*q**2 - 3*q - 5. What is -2*p(c) - 9*w(c)?\nAnswer: -6*c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -951304 divided by 46?\nAnswer: -475652\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 1215, 2467, 4149, 6261, 8803, 11775?\nAnswer: 15177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134650 is divided by 1213.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(12\/7)\/(y*y\/(y*y*y**3*y)*y*y\/((((y\/y**(-1))\/y)\/y)\/y)))**(-41) assuming y is positive.\nAnswer: y**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*b + 16*b + 31*b)*(3 - 3 - 2*b) to the form a + x*b**2 + m*b and give x.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21941986673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1466 times -0.54?\nAnswer: 791.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1270 + 1237 - ((5 - 2) + -135).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 4*u**2 + 4*u + 5. Let n be v(5). Let w = n + 6. Suppose 5*q + 3*k - 78 = 4*k, -k + 57 = 4*q. What is the highest common factor of q and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) + 62 + 7018\/(-174).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12769 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - q + 37. Let m be f(5). Solve 430 = -m*c + 444 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12503, -25031, -37563, -50099, -62639, -75183, -87731?\n\"Answer: -2*j**2 - 12522*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r + 1. Let a(t) = -2*t. Let m(n) = -5*a(n) + o(n). Let x(f) = 2*f**3 - 7*f - 6. Suppose 4*j + 4*h = 44, -j + h - 53 = -5*j. Give j*m(b) + 2*x(b).\nAnswer: 4*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let m = 17.07 - 17. Let r = 4.93 + m. What is the third biggest value in y, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 2*v**2 - 2*v + 3. Let h be l(2). Calculate the remainder when (-52)\/2*h\/2 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, d: 6}. What is prob of picking 1 z and 2 d?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111000 (base 2) to base 8.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, p: 2, u: 3, s: 2}. Give prob of picking 3 n and 1 u.\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 9:57 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.22, 2\/7, -3, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42792903203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3844559 to the nearest integer?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -v + 75, -6*o = -2*o - 5*v + 302. Let b = o - -83. What is the units digit of ((-4)\/b)\/((0 + -3)\/1530)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let b(m) = -44823*m**2 - 2*m. Calculate b(x(i)).\nAnswer: -44823*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45139?\nAnswer: 45139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 13*h - 12. Let d be j(9). Suppose 0 = -6*l + d + 18. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 246738748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l + 35*l + 79405 - 8845 = 0. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = -2. What is the first derivative of -m - 2*k - 1 + 5 wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -911 and -911 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 32*u**2 + 0 - 9 to the form j*u + n + p*u**2 and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1)*9*(-10)\/(-90). What is the second derivative of i*y + 185*y**4 + 2*y - 185*y**4 - 2 + 26*y**5 wrt y?\nAnswer: 520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.317 - 11.35879. What is k rounded to four dps?\nAnswer: -0.0418","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83848727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at least as big as 208675413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5188893 is divided by 324305?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*i**2 + 17*i**2 + 25*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -1078?\nAnswer: -1078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**4 - 5*k**3 - 3*k**2 + 3*k - 3. Let i(t) = -t**3 - t**2 + t - 1. Let z = -40 + 13. Let s = -21 - z. Let q(b) = s*i(b) - 2*v(b). Factor q(r).\nAnswer: 4*r**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - (-1 - 79\/9)) + 11\/9. Solve 2*i = -4*n + 10, -i - 4*n + a = -8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = a + 4, -a - 4*v - 12 = 0. Suppose -3*t - 4*q = -16, -a*t + 0*t + 5*q + 11 = 0. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7609, 13821, 20045, 26287, 32553?\nAnswer: 38849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 313 - 110. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 293164362\nAnswer: 58632872.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71861, -146174, -220487, -294800, -369113, -443426?\n\"Answer: -74313*w + 2452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/4 - c**3\/6 - c**2\/2 + 11*c. Let s = -16 - -14. Calculate n(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/75, -0.1, 0.5, 567, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.31 + -0.71. Suppose 3*o - 9 = 3*t, 0 = -2*o + 4*t + t + 6. What is the third smallest value in -3, o, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttbtbt. Give prob of sequence bb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6109830 divided by 75430.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101100100000110 + -10?\nAnswer: -100101100100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 0*y**2 - y**2)*(y**2 - 96 + 8*y + 96) in the form i*y + a*y**3 + z*y**2 + g + v*y**4 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -391 at least 18671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978901449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:19 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*v)*(5*v - 4*v - 2*v) - 5*v**2 + 0*v**2 + 2*v**2 + 1 - 3*v**2 - 11 + 3)*(3 - 3 - 2*v).\nAnswer: 8*v**3 + 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, k: 7}. What is prob of sequence kvk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + i**2 - 12*i - 2 + 4*i. Let y be d(4). Let v(w) = -w**2 - 12*w - 7. What are the prime factors of v(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -11, 21, 63?\n\"Answer: 5*m**2 + 7*m - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 139978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13279, 26560, 39841, 53122?\nAnswer: 66403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r - 8. Let s be v(1). Let x(l) = l**2 + 2*l - 4. Let d(h) = -3*h**2 - 3*h + 8. Let z(n) = s*d(n) + 5*x(n). What is z(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 3, -42594, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**7\/42 + b**6\/24 + b**5\/12 - 5*b**4\/24 + 485*b**2. Factor l(p).\nAnswer: -5*p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4*u + 6, -3*k + u + 7 = -0*k. Suppose -2410 = -4*y + 5*v, k*v + 3006 = 5*y - v. Let i = y + -283. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*o - 16, 2*n = -4*o - 6 - 2. Let a be (-1 + 1)\/(1 - o). Suppose a = -3*l + 18 + 9. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 17. Calculate the highest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 13) in base 14?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.41 - -106577.18193.\nAnswer: 106578.59193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170453*i**5 + 35437*i?\nAnswer: 3409060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -12. Let k(u) = u**3 + 12*u**2 + 12*u + 11. Let l be k(i). Let w(h) = h**3 + h**2 - h + 12. What is the units digit of w(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2410489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 58*z + 6979 = -57*z, 2*d - 5*z = 3517. What are the prime factors of d?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 23*r**5\/30 + r**4\/24 - r**3\/6 + 2*r**2. Let l(f) = -f**3 + 18*f**2 - f + 17. Let i be l(18). Is 11 a factor of s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-54)*-2)\/(115\/2484).\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 765226102 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, -2, -3, 1248 in increasing order.\nAnswer: -3, -2, 97, 1248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9076781 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/(-1)*(16 - 18). Let b be ((15\/10)\/t)\/((-1)\/2). Suppose n - 3*j - 6 = -19, 12 = 4*j. Sort n, b, 0 in ascending order.\nAnswer: n, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {j: 5, k: 1, z: 1, y: 1, u: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 495 + -162. What are the prime factors of b?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-50)\/4 - -2)*(-280)\/420. Let p(r) be the first derivative of 8*r - 4*r**3 + 4\/5*r**5 - 2*r**2 + r**4 - d. Factor p(q).\nAnswer: 4*(q - 1)**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -55.3, 1\/2, 3, -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 83 (base 15) to base 7\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 930 and 2?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 735732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9. Let n(i) be the second derivative of i**5\/20 - i**2\/2 - 77*i. Calculate b(j) + 9*n(j).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25029025 divided by 8035.\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*(b\/(b\/(b\/b**(-6))*b)*b)\/b)**31 assuming b is positive.\nAnswer: b**217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 1 = -o, 2*o - w = o - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1 + sqrt(704) + 4*3*sqrt(704))**2 + -1 + ((sqrt(704) - -2*sqrt(704)) + 4)*3)*-2.\nAnswer: -238006 - 1808*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) - (sqrt(8) + 2*sqrt(32))).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**5 + 17536*l**4 - 19236984*l**3 + 38421376*l**2 - 19201924*l = 0. What is l?\nAnswer: 0, 1, 2191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - b - b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)\/(sqrt(35)\/sqrt(5)*5))**2 + (2 + sqrt(325))*-2 + 2)*-1.\nAnswer: 37\/25 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 6, -4, -0.7, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 211 = -83. Let c be 3 - 2 - (1290\/(-6) + 6). Calculate the highest common divisor of c and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357235956 a multiple of 4178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = -10*h. Which is smaller: 7\/148 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138492 minus 676.4?\nAnswer: -676.538492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270*g**3 + 5159*g**2 + 1085629*g?\nAnswer: 1620*g + 10318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = 0, 7*i - 12*i - p = -842. Is 169 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/4 + 19007*r\/2 + 361266049\/4 = 0.\nAnswer: -19007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24022 - -3?\nAnswer: -24015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 759 divide 646668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -11. Suppose 2*h - 5*t + 5 = 7*h, -5*h = -n*t - 5. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, q: 12}. What is prob of picking 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21889 + -7797. Suppose -2*o = 2*s - 5640, 0*s - q = -5*s + 3*o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 2*l + l**2 + 47 + 34 + 2*l.\nAnswer: l**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 62*z**3 + 21*z**2 + 7*z - 238. Let s(a) = -a**3 + 3*a**2 + a + 1. Let y(u) = -d(u) + 7*s(u). Differentiate y(p) with respect to p.\nAnswer: -207*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*p**5 - 788*p**4\/3 + 1049*p**3\/3 + 1038*p**2 + 1804*p\/3 + 152\/3 = 0. What is p?\nAnswer: -2, -1, -38\/375, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5965, -5865, -5523, -4819, -3633, -1845, 665, 4017?\n\"Answer: 20*d**3 + d**2 - 43*d - 5943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12*s - 4*s + 0*s.\nAnswer: -16*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727.733839 rounded to 2 decimal places?\nAnswer: -1727.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 + -4*(-51)\/48. Calculate the greatest common factor of a and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.28 and -1.\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -805, -2884, -6365, -11260, -17581?\n\"Answer: -2*m**3 - 689*m**2 + 2*m - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: a228 (base 14) to base 2\nAnswer: 110110011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 124, 318, 598?\n\"Answer: 43*j**2 - 21*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 410770.5 milliseconds?\nAnswer: 6.846175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 6*v - 12. Let u(h) = -2*h**2 - 10*h + 20. Let w(p) = -5*j(p) - 3*u(p). Let n(x) = 49*x. Determine n(w(z)).\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9666.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1\/w)**(-12\/11)*(w*w**(-2\/17))\/(w*w**6\/w))\/((w**(-1\/5)*w**4\/w)\/(w*(w**0\/w)\/w*w)**(-24\/7)) assuming w is positive.\nAnswer: w**(-673\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*m - 9, -3 = -10*m + 13*m. Suppose -5*f = -3*a - 66, 0*a + c*f = -5*a - 73. Put -5, a, 5, -4 in decreasing order.\nAnswer: 5, -4, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18696*r - 5281400 = -18736*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -17091?\nAnswer: 5\/17091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from {r: 2, p: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 74 = -9*l. Let c = 59\/102 + 3\/34. What is the third biggest value in 0, l, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4 + 2*z - 5 - 3 + 3 + 4. Let f be 174\/10 - 4\/10. Let m(h) = 6*h - 14. What is f*k(y) - 6*m(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76543 times 0.0339?\nAnswer: 2594.8077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1760335 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452 and 74539433?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 v, and 1 j when three letters picked without replacement from {d: 2, j: 1, s: 3, x: 2, v: 12}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22629*f**3 - 22617*f**3 + 1 + 45212*f**3 + 6.\nAnswer: -34*f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6\/109511 (b) -1\/3 (c) -0.4 (d) 0 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15 + 3)*(-2)\/4. Suppose 3*a - 4*i + 22 = 76, 0 = 4*a + 4*i - 100. What is the remainder when a is divided by 9\/((-4)\/(24\/x))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 60.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6204 - -0.04?\nAnswer: 6204.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 339, 1400, 3185, 5694, 8927?\n\"Answer: 362*y**2 - 25*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -115401, -230473, -345545?\n\"Answer: -115072*u - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 542641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4334509 + -4334508.986662348. Let y = t - 110.013424652. Let c = y - -110. Round c to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.1. Let p = -1308 + 2547. Let k = p + -1239.5. Which is the closest to m? (a) 5 (b) -3\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25362 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53969894.\nAnswer: 2, 11, 2453177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 46*b. Let n(v) = -1. Suppose 0 = d - 86 + 80. Let a(q) = q - 6. Let x(l) = d*n(l) - a(l). Determine x(k(c)).\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33958 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 38, 10, -1 in descending order.\nAnswer: 38, 10, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 + 4. Let o = f + -0.1. Is o less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 844 and 17935.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -19 (b) 2\/19 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 - -592. What is the highest common divisor of 56 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g**2 - g. Let k(v) = -5*v**3 + 9*v**2 - 12*v + 6. Let m(z) = -k(z) + 4*p(z). What is the remainder when m(13) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r - 255 = 7*r. Sort 3, r, 1, 0 in descending order.\nAnswer: 3, 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11890111663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 14. Let m be z(-14). Let q(l) = l**3 - l**2 - 2*l + 80. Let k be q(m). What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185 and 145040?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let x = 0.47 + -0.07. Which is the nearest to 1? (a) x (b) d (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28979313 to the nearest integer?\nAnswer: 5383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - -166) + -76 + -26?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1498*k**2 - 2971*k**2 - 2220*k**2 + 1291*k**2 - 2649*k**2 to d*k**2 + j + p*k and give d.\nAnswer: -8047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 149 = 11*t. Calculate the remainder when 20 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/20 - o**4\/4 + o**2 - 28*o. Give y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 25*r**2 - 12*r + 54. Does 13 divide s(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwdig. What is prob of picking 1 d and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**15)**(-9\/5) assuming w is positive.\nAnswer: w**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6\/5)*b)\/b**(-3))**(-28) assuming b is positive.\nAnswer: b**(-392\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 3:28 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thet when four letters picked without replacement from wqehqutweqwtqwu.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**6\/60 + p**5\/60 - p**4\/8 + p**3\/6 - 6*p**2. Let r be k(2). Differentiate -r - 10*c + 4 - 2 wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-295)\/(-2478)*((-13 + 19)\/(-300))\/((-1)\/(-8)).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*u + 37. Let t be (-31 - -31)*u\/3. Solve -4 = -v - t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 4*y**2 - 5*y + 3. Let v = -1 + 6. Let a be w(v). What is the greatest common factor of 33 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*c + 54025, 1765 - 12571 = -p + c. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10850 divided by 2170.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2818 is divided by 74?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let j be r(3). Suppose j = 2*u - 3. Solve l - 1 = -l + h, -2*l + 7 = -u*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9770322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:14 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 32*f**2 - 149*f + 50. Determine q(36).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9682 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -326?\nAnswer: -9\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 2\/7, 0.13, -50\/11, -3?\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19261 and 2575?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let a(c) = 6*c**2. Let m(b) = -a(b) + 5*h(b). Let u(l) = -l + l + 0*l + 4*l. What is m(u(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0 + 0*o**3 + 0*o - 1\/30*o**5 + 0*o**4 + 5*o**2. Let n(j) = 4*j**2. Determine x(n(u)).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1, -4, 0.5, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1862) + sqrt(1862))*4)\/(sqrt(256)\/sqrt(8) + sqrt(4)\/sqrt(2)*6).\nAnswer: 28*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 4908325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from nnaanoaoaoaoo.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 16*x - 2. What is the lowest common multiple of 2 and u(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**3\/3 + 13*o**2\/2 - 27*o. What is t(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.837*0.4.\nAnswer: -10.3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260746*c**3*w**3 - 6*c**3*w**2 - 88*c**3*w + 10*c**2*w**2 wrt w.\nAnswer: 1564476*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56614 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 860\/(-11696)*(-16)\/10. Let f + 2\/17*x**4 + 0*x + 0*x**3 - 4\/17*x**2 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/(-105))\/(4\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -5 (c) -249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 22, 10, -4, -20, -38?\n\"Answer: -n**2 - 7*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 0, r - 17 = 4*l + 4*r. Let w(a) = 1083988*a - 60. Let g be w(l). Round g to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 73230.\nAnswer: 1\/14646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/405 and -18\/199.\nAnswer: 80595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1499651527 - -0.08.\nAnswer: 1499651527.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/20 and 11\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -52883 - 62848. What is the remainder when x is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*j + 125, -j = -4*h + 233 + 202. Let i be (4\/(-6))\/(1\/(-33)). Calculate the greatest common divisor of i and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 - 17597.99?\nAnswer: -16551.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -13*q - 576. Let s(f) = 2*f + 8. Calculate m(d) + 6*s(d).\nAnswer: -d - 528","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4246 - -4242. Let h = 0.2 - 0.3. Put h, l, 10, -2 in increasing order.\nAnswer: l, -2, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 36*w**2 + 2*w + 0*w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 59. Calculate the smallest common multiple of b\/9 + 1\/(-3) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133221030 (base 5) to base 14\nAnswer: -1398cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/16)\/((-3681)\/(-1636))*34*3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 1. Let i be u(-4). Let s = i + 30. Solve -s = t + 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-5) - (-54)\/135)*1. Solve k = n - y - 5, -5*n + 7*n - 4*y = 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.26946l to millilitres.\nAnswer: 62269.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1504\/21 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 + -1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/69 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 211542*f**3*i**2 + 4*f**2*i**2 - 383*f*i**2 + 4*i**2 + 3 wrt f?\nAnswer: 1269252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-161308960\nAnswer: -16130896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2042742860 to the nearest integer?\nAnswer: 45197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17593099 to the power of 1\/2, to the nearest integer?\nAnswer: 4194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*207172276\nAnswer: 207172276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-252)*6*-342*(-6)\/(-96)?\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 81. Let q(f) = -f**2 - 12*f - 10. Let d be q(-13). Let s = a + d. Solve -4*o - 4 = s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-88)\/(-24))\/(1\/3). Let f = 3 + 2. Suppose 2*s + f*q = 10 + 16, -5*s = -q - o. Solve -s*h = -2 - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 269*j - 1630. Let n be m(-6). Solve -5*d - 16 = -n*t + 17*t, -d - 8 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*-3*4\/(-60)*-6\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 85*j**2 + 150*j.\nAnswer: 5*j*(j - 15)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.2, 0.0311, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9855 plus -8.2?\nAnswer: 9846.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1027, 1941, 2879, 3841, 4827?\n\"Answer: 12*z**2 + 878*z + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/744?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 24*w**2 - 28*w - 43. Is u(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 + 66*d**4 + 300*d**3 - 124*d**2 - 906*d + 666 = 0. Calculate d.\nAnswer: -3, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.066 * 17.\nAnswer: -1.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - ((4 - 9) + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -5. Let k be 4 - 1 - (-187)\/(-77). What is the smallest value in k, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-seven fifths of a meter?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 112 = -112 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-3 - 32 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -4500.8\nAnswer: -1350.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 209 and -50.\nAnswer: -10450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -1\/3, -30, 1, 4, 4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -13*s**4\/12 + s - 6. Let i(q) be the first derivative of v(q). Let y(z) = -z**2. Calculate y(i(b)).\nAnswer: -169*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -373 * 65.1.\nAnswer: -24282.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-7\/3)*k)*k**0)\/(k**(4\/5)\/k**(-14)) assuming k is positive.\nAnswer: k**(-172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -30 + ((-9 - -1) + (-2 - 6) - -7).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2\/7 + 182039*x\/7 - 546072\/7 = 0. What is x?\nAnswer: 3, 182024\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1, 6, 248 in descending order.\nAnswer: 248, 6, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18c (base 13) to base 15\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 0 (c) 18 (d) -0.5 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/11, 0.41, 2633, 4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 10. Do 1\/2 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1184 and 1114144.\nAnswer: 1114144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1256, 10016, 33790, 80084, 156404, 270256?\nAnswer: 429146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 878 + -884.29. Let z = s + 6. Let a = 0.268 + z. Round a to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/(-4) + 9\/36. Let q(i) = -4 - 4*i**2 + i**3 + 6*i**2 - i - 4*i**2. Let a be q(3). Solve -7*v + l = -a*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6070035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50402 (base 6) to base 11.\nAnswer: 4a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Calculate u(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1974, -3898, -5820, -7734, -9634?\nAnswer: -11514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -102881 divided by -116\nAnswer: 102881\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -78, 6, -5, 8, -37 in descending order.\nAnswer: 8, 6, 0, -5, -37, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.565 and -3979?\nAnswer: 2248.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269818*i**3 - 134913*i**3 - 134909*i**3 + 2*i - 2*i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5993, -24213, -54631, -97247, -152061, -219073, -298283?\nAnswer: -389691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/6 + 520*j**3 - 411700*j**2 - 7946168000*j\/3 - 2150752125000 = 0. What is j?\nAnswer: -1790, 2250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 30 + -22 - -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (sqrt(110) - (sqrt(110) - sqrt(110)*-1)*-2))*-5)\/((1*sqrt(100)*2)\/sqrt(10)).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:57 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/5)\/(2\/(-24)). Let j = 15 - g. Is 14 a factor of (28 - 1) + (6 - j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1984.666 to the nearest 10.\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {z: 1, r: 5, y: 1, u: 2, j: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12228 - 9480. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 274\/6*(-26 - -23). Let d = 180 + l. What is the remainder when 170 is divided by d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) + (-50)\/30. What is the tens digit of g\/9*-3 + (-1870)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**3\/3 - 3*r**2 - 5*r + 2. Suppose 77*o - 80*o - 18 = 0. Let a be j(o). Let x(t) = -t**2 - 2*t + 6. What is x(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11964 * 5.\nAnswer: 59820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) 0.05 (c) -164906.6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1224300 (base 5) to base 6\nAnswer: -301420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 235756501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.18705 times -486\nAnswer: 90.9063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h - 2 + 0*h + 5*h)*(6804 - 532*h - 120*h - 3401 - 3400) to the form j*h + g*h**2 + x and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4)*880\/495. Sort 1, 0.0315, -1, 2, k in increasing order.\nAnswer: -1, k, 0.0315, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3999, -3956, -3909, -3858, -3803, -3744, -3681?\nAnswer: -3614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/33, 64, -368?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 5*f + 6. Let k be t(-5). Let z(r) = 5*r + 1. Let u be z(1). Suppose -k*d = -u - 54. Calculate the remainder when 38 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 30. Give v(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3885 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 200\/3. Which is the nearest to 2\/3? (a) n (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.60497982 * 1\nAnswer: 0.60497982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -26927\/2 greater than or equal to -13464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*f - 96, 3*p + 2*f = 5*p - 44. Suppose -6 = 7*n - p. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1693771*a - 959011*a - 3.\nAnswer: -2652782*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*t + 1. Suppose -4*i - m + 20 = t*m, 0 = 5*m - 10. Suppose -8 = -4*g - 4*r, -i - 2 = -5*r. What is the highest common factor of 3 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/76 and -71\/62300.\nAnswer: 1183700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2\/17, -1\/3, -1761\/29, -0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*r)*(-r**2 - 1 + 1) - r**3 + 6*r**3 - 2*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -9. Suppose 4*h = x*h + 6. Let y be (5 + -2)*h\/(-18). What is the closest to y in -0.2, -2\/7, 2\/17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*g - 11 = 0, -6*g = -3*s - 2*g + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 7094931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149640 is divided by 113.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -72)*(464\/168 - 2). Let p = -3428\/63 + h. Let 8\/9*y**2 - p*y - 2\/3 + 4\/9*y**3 - 2\/9*y**4 = 0. What is y?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/4627620 and -41\/137844.\nAnswer: 32393340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f - 53. Let h be u(8). Let y be -2 - 5\/((-10)\/4). Put y, -4, h in decreasing order.\nAnswer: h, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -42*z - 2. Let g(a) = 9*a. Determine q(g(m)).\nAnswer: -378*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*4\/6 - 3. Suppose -3*h = -0*h + 2*t - 2908, l*h = -t + 4856. What is the remainder when 78 is divided by 2\/(-3)*h\/(-24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + sqrt(143)*-2 - sqrt(143))*-5)\/(-1*sqrt(176)) + 4)**2.\nAnswer: -20*sqrt(13) + 389\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**8\/2240 - w**6\/60 + 49*w**4\/12 - 2*w + 34. Let d(r) be the third derivative of z(r). Suppose d(h) = 0. Calculate h.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10937, 2\/15, -5, -0.3 in descending order.\nAnswer: 2\/15, -0.3, -5, -10937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5208\/(-93)) + -20.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y**2 - 3*y + 1. Let p(x) = -7*x**2 - 3*x + 1. Determine -6*p(d) + 5*u(d).\nAnswer: 2*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20442817 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (2 + -4) - -104. Let r = u - 95. Calculate the lowest common multiple of r and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1079438)\/(-148) + 6\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314026 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -31*t**2 - 338*t - 202. Determine y(-13).\nAnswer: -1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 - 2*a**4 + a**2 - 2*a**2)*(7*a + 2*a + 0*a) + 3*a**5 - a**5 + 0*a**5.\nAnswer: -16*a**5 - 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.176 + 0.977039\nAnswer: 1.153039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3443 = -3*p, 2*p - 3*k - 1133 - 1162 = 0. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/85, 0.4, 4 in increasing order.\nAnswer: -4\/85, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -63, 0, 65, 132, 201, 272?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221 and 10829?\nAnswer: 10829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 592a - -71?\nAnswer: 599b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 6*p**3 + 7*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m - 25. Let z be v(-34). Let u = z + -145. Find o such that u - 2\/5*o**2 + 2\/5*o**3 + 0*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2679 and 282.\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.62 + 22.6203277. What is f rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1380 + 0*m**2 + 13*m + m**2 - 1383 to a + o*m + n*m**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*k + 6087 = 18652 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4 = -i. Suppose 2*m = m + i. Let f = m + -4. Solve -5*l + 2*h - 12 = f, 0 = -0*l - 5*l - 2*h - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - 3)*(-8)\/(-2). Suppose 0 = -l + 5*l + b. Let r(n) = -n. List the prime factors of r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758.5011kg in micrograms?\nAnswer: 758501100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from hkhkkhukkkshpkupu.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.95 * 5.\nAnswer: 184.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -80767, -5 in decreasing order.\nAnswer: 10, 5, -5, -80767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -0.06 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 8*y + 10. Let a(q) = 2*q**2 - 4*q + 5. Let s(t) = -5*a(t) + 3*k(t). Let z be s(-7). Let d be -1*(-2 - 30\/z). Are -1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.889875 to 3 dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2\/7, 81 in decreasing order.\nAnswer: 81, -2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1102111 (base 3) to base 2\nAnswer: 10000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 105300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c = -2*v - 17*c - 134, 100*v + c + 191 = 95*v for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(-10)\/5*(-76)\/(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a2 (base 14) to base 6.\nAnswer: -1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-8 - -2 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bc (base 15) to base 3.\nAnswer: -1011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o**3 + 11*o**3 + 32*o**3 - 113*o**3.\nAnswer: -131*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 + 1 + -10 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 5, w: 3, r: 7, h: 3}. What is prob of sequence mr?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmoohgghggggoo. What is prob of sequence ggmh?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) 2 (c) -70\/9 (d) 2\/7 (e) 0.02 (f) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 44 = 14. Suppose m*g - 2*g - 44 = 0. Let i(h) = -13*h - 23. Let v be i(-6). Calculate the highest common factor of g and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38399.14 decades to months.\nAnswer: 4607896.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20274 and 2076513765?\nAnswer: 10137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/9, 0.2, 3\/7, 2\/3227?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217 - 217.1. Let n = -0.2 - 9.8. Which is the second smallest value? (a) -2 (b) 1 (c) f (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 - -106. Which is the nearest to -0.3? (a) 0 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -4*u + 24, 64 = -5*u + 4*r + 49 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/(-2400))\/(((-1449)\/162)\/(-23)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -5, 5, 0.2.\nAnswer: -34, -5, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1, -3, -2, -0.3, -15 in descending order.\nAnswer: 2\/5, -0.3, -1, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.007 - -1.613. Let m = 1.63 - u. What is m rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -n + 14, 5*n = -4*i - 33. Let r(s) = 5 + 3 + s + 0. Give r(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5984 (base 14) in base 3?\nAnswer: -210101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/4 - 2)*-60. Let w = d + 22. Find the common denominator of w and 97\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1148)\/(-820))\/((-84)\/18)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v**3 - v)*(-20 + 795*v - 795*v - 7*v**2) + (v - 5*v + 2*v)*(-142*v - 3*v**4 + 142*v - v**3 - v**2).\nAnswer: -v**5 + 2*v**4 - 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -86\/1513961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 35*v**2 - 39*v + 125. Calculate w(36).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*j + j**2 + 2*j + j**2 + (6*j**2 - j**2 - 2*j**2)*(-2 - 5 + 6).\nAnswer: -j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 1. Let r(t) = 15*t**2 + 9*t + 1. Let f(j) = r(j) - v(j). What is the second derivative of f(p) wrt p?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18780)\/2817*9\/16.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*t, 10 = -3*p + 5*p - t. Suppose -3*w + 3 = -2*w, 534 = 5*f + p*w. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -508*o + 19888. What is r(40)?\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 - 0) - (-33 - -31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16044\/17 or 945?\nAnswer: 16044\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 13*c + 68. Let q be p(-5). Find the third derivative of -58*m**4 + 108*m**2 + 2*m**3 - 69*m**2 + q*m - 80*m**2 wrt m.\nAnswer: -1392*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*b**2 - b**3 + b + 1 + 25*b**2 + 22*b**2 to the form v*b**2 + z + w*b + q*b**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1596 and 0.06.\nAnswer: -0.009576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 21 - 7. Suppose -3*b + a*b = 30. What is the greatest common factor of b and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.47 + 808581.\nAnswer: 808580.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-3))\/(0 + -2). Suppose 0 = -v*c - 5*c + 320. Suppose 5*d - 46 - c = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Let x = -0.5 - o. Put -0.1, -1\/4, x in increasing order.\nAnswer: x, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + w + 84 = 0, -3*v + 104*w - 105*w = -56 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -250472348*u**4 + 15528024*u wrt u.\nAnswer: -3005668176*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59167245421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 127 + 31 + g - 363.\nAnswer: g - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/5)\/w)\/(w**(-7\/5)*w))**(-12\/11)*w*w*(w\/w**(1\/5))\/w*w*w**(-3\/2)*(w\/(w*w**(-2\/3)\/w*w*w))**9 assuming w is positive.\nAnswer: w**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -897 (base 13) in base 3?\nAnswer: -2000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let l = -2.3 + 2.2. Let d = 31\/116 - 1\/58. Which is the nearest to l? (a) v (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = u - 2*u. Let l be (1 + u)*51\/6. Calculate the greatest common divisor of l and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(190)*6 + (sqrt(190) - ((sqrt(190)*3 - sqrt(190)) + sqrt(190))*4))\/(sqrt(10) + (4*sqrt(10)*3 - sqrt(10)) - (-5*sqrt(60))\/sqrt(6)).\nAnswer: 7*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p - 15. Let q(k) = 2*k - 17. Calculate 3*a(z) - 4*q(z).\nAnswer: z + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 268272.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 8. Let o(x) = 16*x + 39. Let v(z) = 2*o(z) - 11*p(z). Let l be v(-10). Suppose l = -2*y - 2*y + 88. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59325 by 4.\nAnswer: 59325\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 7*m**2 + 6*m + 4. Let u be b(6). Let q = 5 - u. Let y be q\/(-4) + 30\/56. Put y, -4, 2 in increasing order.\nAnswer: -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021126 (base 8) in base 11?\nAnswer: -334567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 + 5*v - 4. Let l be q(4). Let g(x) = -x**3 + x**2 + x - 32. Let k be g(l). Let n = -4 - k. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 505539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -843*f + 1743*f - 889*f. Let c(w) = -4*w**2 + 4*w**2 + 2*w**2. Give z(c(n)).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 13. Let s = -190 + 190. Let x be (9 - s)*30\/27. What is the greatest common divisor of x and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 8*q + 2. Let k be u(8). Suppose -k*l + 30 + 4 = 0. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 88209\/5 + 1\/5*n**2 + 594\/5*n = 0.\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, -0.03, 0.15, 7\/12, 97?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(4576\/325 - 14) + -20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113300145*-0.3.\nAnswer: -33990043.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/90 + z**5\/9 + z**4\/18 - 10*z**3\/9 - 1760*z**2. Factor u(x).\nAnswer: -4*(x - 5)*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 7:08 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/3 - 14*h**4\/3 + 994*h**3\/3 + 2062*h**2\/3 - 7040*h\/3 + 4000\/3 = 0 for h.\nAnswer: -25, -4, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (0 - (1 + -5)). Let x = h + 2. Is (26\/4)\/(x\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2 = p, 2*p - 7*p + 37 = 4*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**4 + 477289*w - 400752.\nAnswer: -4*w**3 + 477289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 79771*x - 1036854.\nAnswer: -(x + 13)*(x + 79758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3787760 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {p: 1, k: 1, z: 4, l: 1, g: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1213*h - 1217*h - 22 = 2*f, 19 = -4*h - f. Let c(r) = -11*r + 4. Let b = -21 + 14. Let a(x) = 5*x - 2. Calculate b*a(k) + h*c(k).\nAnswer: 9*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pypppyppypppppppyp. Give prob of sequence yppy.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 17*n**2 + 16*n - 218. Let g be y(-15). Put 5, -2, -76, 4, g in decreasing order.\nAnswer: 5, 4, -2, g, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at most as big as 4183.209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 8*p**2 + 9*p. Let r be l(-9). Suppose r = z - 23 + 63. What is the tens digit of 24\/z - (-128)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {u: 1, e: 9, z: 2, w: 2, l: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 71*c**6\/30 - c**5\/60 + c**3\/6 + 4*c**2 - 11*c. List the prime factors of d(1).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*x + 3*n + 6 = 0, 2 = -2*x - n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d = 24*d - 56. Let n(o) = 10*o - 2. Let w be n(-5). Let v = w - d. Solve -4*c + 0*c - 14 = -3*g, -v = -2*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 5*j + 14. Calculate the remainder when 109 is divided by m(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5560242.663039 + -13.336961. Let y = 5560255.6330193 + q. Let r = 0.367 + y. Round r to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 154*f**4 + 29*f**3 + 2212*f - 274676721 wrt f?\nAnswer: 616*f**3 + 87*f**2 + 2212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26115227413636*h**2\/9 + 40882448*h\/9 - 16\/9 = 0. What is h?\nAnswer: 2\/2555153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79627927907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -304*v - 550. Give y(-2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -66, 0.04.\nAnswer: -66, -4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/228 - 1931353\/(-23513754)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q*r**2 - 32*q*r - 8*q + 6 wrt r.\nAnswer: 2*q*r - 32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 + 3) - (0 - -9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14697, 58789, 132275, 235155?\n\"Answer: 14697*a**2 + a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 0*c**2 - 6*c**2 + (-1 + 5 - 2)*(-10*c**2 + c**2 + 3*c**2).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 3\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1a (base 11) to base 4.\nAnswer: 103033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59184031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15184 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*x**3\/13 + 2406*x**2\/13 - 428*x.\nAnswer: -2*x*(x - 107)*(11*x - 26)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/49, -5624, -0.3, -1\/24?\nAnswer: -8\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3)*2 - (sqrt(208) + sqrt(13))*5) + -3 + -1 - ((4 + (-2*sqrt(13) - sqrt(13)) - (-4 + sqrt(52)\/sqrt(4) + sqrt(13) + sqrt(13))) + -4))**2.\nAnswer: 272*sqrt(13) + 3821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/15 - 306*v**4\/5 - 63676*v**3\/15 - 1144084*v**2\/15 + 827626*v\/5 - 1274198\/15 = 0. What is v?\nAnswer: -379, -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 396316\/9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*t - 14. What is the highest common divisor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4 + 698*g**3 + 121097*g**2 - 247100*g - 367500 = 0.\nAnswer: -350, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**5 - 14008*j**4 + 16342656*j**3 - 6340913152*j**2 - 12747309056*j = 0.\nAnswer: -2, 0, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 2:57 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**13*o**(2\/11)*(o\/o**24*o)\/((o*o**(11\/6)\/o)\/o) assuming o is positive.\nAnswer: o**(-637\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/(-30)*(180\/(-150))\/((-3)\/25)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**3 + 0 + 7\/6*u**5 - 24*u**2 - 23\/24*u**4 + 0*u. What is the second derivative of l(x) wrt x?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = -11. Find o such that 6 - 4*o**4 + 8*o**2 - 4*o**3 - 2*o**4 - 8 + g*o + 0 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1135 + -10?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 11:24 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1278*l = 1328*l + 400 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 36525 = -0*q. Let z = 13907 - q. Suppose z + 11998 = 3*p. Round p to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -19. Let x be (3 + d)*(-30)\/(-35). Solve -2*w = w + x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 bigger than 392\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39536 (base 10) in base 12?\nAnswer: 1aa68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -66. Put f, 1, -3, 3 in ascending order.\nAnswer: -3, f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532645.2 minutes to microseconds.\nAnswer: 31958712000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 28\/9 + 174\/378. Let d(f) = 6*f - 24. Let b be d(3). What is the third smallest value in b, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 59. Suppose q = 4*k - 9 - 7. Suppose -w = k*j + j - 13, -3*j = -2*w. What is the closest to 10\/11 in -0.1, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -4*q**2 + 12*q - 14. Let k(u) = 3*u - 5. What is -5*g(c) - 12*k(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1371*v + 18659 + 7390 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 - 5*p**4 + 3*p**4)*(p + 0*p + 0*p) - 152*p**3 + 20*p**5 + 152*p**3.\nAnswer: 18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -47*v**4\/6 - 65*v**2\/2 - 2*v - 35. Differentiate a(t) wrt t.\nAnswer: -188*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2668 + -2668. Which is the third biggest value? (a) 38 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(-8 - -4 - -2). Let t = b - -24. Suppose 5*c = -3*n + 180, -t*c + 348 - 48 = 5*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 6*b + 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 8*q - 6. Let t be 94\/10 + (-2)\/5. Let v be l(t). Suppose -v*a + 2*g + 95 = -2*g, -3*g = 15. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -20872 (b) -2 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -16*w**2 - 229*w + 397. Give j(-20).\nAnswer: -1423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 9 = -l, -4*l + 34687 - 34693 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 40 + 37 = 0. Solve 4*c = w - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 24*p.\nAnswer: -p*(p + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 2*f**2 + 2*f + 2073. Is o(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -152*w**2 - w. Let t be i(1). Let s be (-1)\/(3\/t) + -1. What is the common denominator of (5\/50)\/((-12)\/s) and -45\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*a + 140 = 0, 2*a - 73 = 2*p + 175. Which is bigger: p or -1142\/9?\nAnswer: -1142\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - 5042?\nAnswer: -5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.1 + -4.1. Let o = -1.8 + f. What is the third biggest value in o, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-6) + 6\/(-4). Let q(w) = 2*w**2 + w + 1. Let o be q(-1). What is the third derivative of 5*p**3 - 6*p**3 + 2*p**z - p**o wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - b)*(108370*b**3 + 27157*b**3 - 2*b + 2*b - 17101*b**3) in the form i*b**3 + o*b + a + r*b**4 + m*b**2 and give r.\nAnswer: -118426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/30 + 0 + 16\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/8 - (-11 - -1). Let q(w) = -5*w - 4. Let f be q(-5). Let g = f - u. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 18. Let t(j) = -3*j + 16. Let o(g) = 4*p(g) + 5*t(g). Let c(l) = -l**3 + 8*l**2 - 8*l + 1. Let r be c(7). What is o(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = -5*a + 13, 0 = z. Suppose 4*r = a*r + 3. Solve -4*i - 2*k = -22, 0 = r*i - 0*i + 2*k - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66101599 a multiple of 3122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 1315*t + 18610. Give a(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o - 2*o**2 + 4*o)*(2 - o**2 - 2) - 7*o + 22*o**4 + 7*o - 33*o**4 - 22*o**4 + 4*o**4 in the form f*o**2 + c*o + u*o**3 + n + w*o**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 48*o**2 - 1923*o - 150. Determine h(-74).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2020 and 519\/210 + 34\/(-85).\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/11 - 80*t**3\/11 + 874*t**2\/11 - 116*t - 6720\/11 = 0.\nAnswer: -2, 5, 16, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/17 (b) -4 (c) 1.9 (d) -0.3 (e) 2 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*q = 255*q + 257*q - 182 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 51. Let b = 13 + i. Let c = 317 + -321. Sort b, -6, c in increasing order.\nAnswer: -6, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7075120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -20, 175, -3, 0.432 in ascending order.\nAnswer: -20, -3, 0.432, 1, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1099 - -4.1099. Put 11, 1\/5, w, -0.04 in descending order.\nAnswer: 11, w, 1\/5, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 2*q - 3. Let l(r) = r**2 - r. Give -4*l(w) + u(w).\nAnswer: 2*w**2 + 6*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 + -219. What is the nearest to 2\/37 in 0, s, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 6*q + 21. Suppose 2*k + 4*s = 3*s + q, -3*s = 3*k - 3. Is k*(-3)\/18*-591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c + 18. Let p be t(5). Suppose -3*j = 2*j - 80. Calculate the highest common divisor of p and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*m**4 - 8*m**2 - 13*m - 59380?\nAnswer: 176*m**3 - 16*m - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let t(h) = 4*h. Let v be (5 - (-5 + 8))*2. Let p(d) = 407*d. Let c(j) = v*p(j) - 396*t(j). Determine c(z(s)).\nAnswer: 88*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 58 = 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621007 is divided by 9128.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.215427kg to micrograms.\nAnswer: 5215427000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*8\/(-80)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/4*(-14)\/140.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 240, 478, 716?\n\"Answer: 238*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -5 - -7) + -9 + (-12 - 6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c + 780 = 18*c. Solve -m = 4*k - 10, -5*m = k - 0 - c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 6*p**7\/35 - p**5\/30 - 3*p**4\/8 + 3*p**3\/2 - 156*p**2. What is the second derivative of d(t) wrt t?\nAnswer: 432*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13664 + 22?\nAnswer: 13706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4494)\/(-749)*(4\/(-54))\/((-8)\/52)\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 0*p - p. Let z(l) = 340*l - 408. Let k(o) = o - 1. Let t(a) = 408*k(a) - z(a). Let s(x) = 13*x. Let m(v) = 16*s(v) - 3*t(v). What is m(c(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -16. Sort 1, m, -3 in increasing order.\nAnswer: -3, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783.403 nanoseconds in microseconds?\nAnswer: 1.783403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 49 + 1 = 0. Suppose -b + 2 = -f. What is the smallest common multiple of 12 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9)*m)\/m*m**(-3)\/m)\/(((m\/(m\/(m*m**4)))\/m)\/m**1) assuming m is positive.\nAnswer: m**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i - 21. Suppose 5*d = -t - 268, -t - 99 = -3*d + 177. Let x = -260 - t. Let c(p) = 4*p - 10. Determine x*c(o) - 6*m(o).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.391 to 1 dp.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15453 + 29180. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3569 + -0.0569. Let q be (88\/12 + -8)*2\/4. What is the third smallest value in z, 19, q?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 232*o + 690. Determine s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 36827152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/(18\/108) + 114. Let z(u) = 101 - 2*u - q + 3*u. What is z(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4823355.82 to the nearest 100.\nAnswer: -4823400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6)*(3 - (-9)\/(-2)))\/(6\/69)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 9. Determine g(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1653 = -37*b + 29810. List the prime factors of b.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -311, -712, -1265, -1964, -2803, -3776, -4877?\nAnswer: -6100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/((f\/(f\/(f\/(f**1\/f))))\/f))\/(f\/(f*f*f**(-1)))**(-21) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 1. Let z(g) = g**3 + 7*g**2 + 7*g + 9. Let l be z(-6). What is o(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from oqsqqyygoqoz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*b - 54. Let u(y) be the second derivative of y**5\/20 - 2*y**4\/3 - 3*y**3\/2 + 7*y**2\/2 + 13*y. What is u(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2. Let v(d) = -97*d + 7. Determine i(v(r)).\nAnswer: 9409*r**2 - 1358*r + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26752 and 4389.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1971, 2351, 2731, 3111?\n\"Answer: 380*q + 1591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 3*h**2 + 2*h + 1. Let t be c(4). Let j(x) = -x**3 - 7*x**2 + x + 2. Let g be j(t). Let z(a) = a**3 + 5*a**2 - a + 4. Give z(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5054 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -35, -60, -101, -164, -255, -380?\n\"Answer: -v**3 + v**2 - 11*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 3*z**2 - 4*z + 2. Suppose 6 = -m - 2*w, -2*m - w - w = 4. Let x be l(m). Let n = x - 10. Solve 2*u + n = 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 275. Suppose -2*c - 2*s = -74, -26 + q = 5*c - 2*s. 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: What is the value of ((-763)\/872)\/(17\/170)?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 157 and 47.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n + 2. Let w(d) = 2*d**3 - 21*d**2 + 8*d + 11. Let o be w(10). Let u(q) = -12*q - q - 5 + 2*q. Determine o*p(y) - 4*u(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2100 and 8.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -16831?\nAnswer: -3366.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*d - 6*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127342545 divided by 165.\nAnswer: -771773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 3131*z\/4 + 1565\/2.\nAnswer: (z - 3130)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 551332322?\nAnswer: -551332320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 1, l: 1}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**3 - 2*a**2 - 9*a + 5. Let f(c) = 3*c**3 - c**2 - 4*c + 2. What is -5*f(m) + 2*y(m)?\nAnswer: -m**3 + m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 20. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-130)\/(-12)*(-20)\/175. Let l = c + 4\/7. Let a = 3244\/9 - 360. What is the biggest value in a, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319255 - -319259. Let o = 2.9 - 3. Suppose 5*z - 25 = 4*g, z + 4 = g + 11. Which is the nearest to o? (a) 2\/15 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2 + (-220)\/112). Let p be (77\/n)\/((-5)\/(-4)). Let u = -155 + 156. Is p < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 4*x - 10, -4*m - 4*x = -252 + 292 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7545910 is divided by 1212?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a2 - -7?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9893060)\/4611)\/(-74) - 29)*-6?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 17. Let k = 58 - h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-88)*((-48)\/(-18) - 4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 4*x + 4. Let b be u(4). Suppose 12*y + 1 = 11*y. What is the closest to -0.1 in b, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(882)*2 + (sqrt(882) - (sqrt(882) + sqrt(882)*1*-5 + sqrt(882))))\/((sqrt(6) - 2*sqrt(6)*1) + sqrt(324)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 1. Let f = 1 - 2. Let u(q) = -2*q - 3. Let n(a) = f*h(a) - u(a). Give n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**4 + 3*x**4 + 2*x**4 + (328*x**2 + 2*x - 333*x**2 + 10*x)*(-x**2 + 0*x**2 + 3*x**2).\nAnswer: -11*x**4 + 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 208031007 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2102, -12 in ascending order.\nAnswer: -2102, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 53111.\nAnswer: -6\/53111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - 4*p)*(-p**3 + 2*p**3 + 5*p**3) - 2 + 2 + p**4 + 3*p**4 - 3*p**3 + 126 - 124 + 0*p**3.\nAnswer: -20*p**4 - 3*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2.9. Let n = -0.23 + 0.33. Which is the closest to 1? (a) n (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -183010000 to the nearest 1000000.\nAnswer: -183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54838 is divided by 260.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39)\/(-15) - (-10)\/25. Suppose -v - 4 = -3*v. Let q be (v - 12)*114\/o. Round q to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {p: 4, k: 1, s: 6, e: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, y: 2}. What is prob of sequence ypp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -72, -0.705, 202 in ascending order.\nAnswer: -72, -2, -0.705, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087.4 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7047 and 65\/54.\nAnswer: 14094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 430 = -5*d + d, -q + 2 = 0. Let j = -17 - d. What is the remainder when j is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/17 - 77528*c**2\/17 + 77534*c\/17 + 155060\/17 = 0?\nAnswer: -38765, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*v = 2*m - 16, 2*v + 80 = -5*m. Let o be (4\/8)\/((-2)\/m). Suppose 2*i - 6 = 4. Solve w - o*t + 4 - 7 = 0, i*w = t + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.44368 millilitres in litres?\nAnswer: 0.03744368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 - 3*l**4 + 3*l**4)*(4*l - 1 + 1) - 317*l**5 - 58*l**5 + 104*l**5.\nAnswer: -279*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 - 12 = -8*n - 4*m, -250 = n - 3*m - 236 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-12)*t**4*t**(2\/7)\/((t\/(t**(2\/7)*t))\/t) assuming t is positive.\nAnswer: t**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 1359990.3255.\nAnswer: 1359995.3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 3, 21, 45, 75, 111, 153?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*p + 54649 + 4207 = 3647*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 301*g**3 - 511*g**2 + 5*g + 1851301.\nAnswer: 903*g**2 - 1022*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 44 = 0. Calculate the greatest common divisor of 121 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6100*d + 908890. Calculate b(-149).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5598889 nanoseconds to seconds.\nAnswer: 0.0000000005598889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*z = 2, 37*q + 5*z = -35*q + 77*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4361 + -4350. Solve -111*x = -100*x + d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-10) - 398\/5373*3252\/170. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 21*r**2 + 8*r - 16. What is the units digit of w(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902737 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 1582*v + 11*v**2 + 9 + 8 - 1593*v - 6. Determine c(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**2\/2 + 4*i - 21. Let u be (-135)\/(-20) + (-1)\/(-4). Let h(d) = -1. Calculate u*h(j) + 2*f(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 243.9 and -13197928.\nAnswer: -13197684.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + t = -16*v - 35, 4*v + 2*t + 34 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*5*-5)\/sqrt(10))\/((sqrt(500) + sqrt(500)*5)*6).\nAnswer: -5*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - 7475?\nAnswer: -7451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30865 - 5*l + 15556 + 15309.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 - 1559*i + 3114*i - 1554*i + 3.\nAnswer: i - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 12870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (9 + -1)) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1064387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*n - 10, 5*i + 2*n + 9 = -n. What is the tens digit of i*(114 + 1)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**25*(t*t**(-23))\/t)**(-15) assuming t is positive.\nAnswer: t**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832802 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)\/j)\/(j**(2\/19)*j))\/(j**(-6\/11)\/j**(-2\/13)) assuming j is positive.\nAnswer: j**(-40743\/19019)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)\/(r*(r*r**(-4\/3)*r)\/r))\/(r**(-2\/3)*((r*(r\/(r*r\/r**4))\/r)\/r)\/r)*((r**(2\/7))**34)**(9\/5) assuming r is positive.\nAnswer: r**(612\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*o + 8992 = 0, 189*q - 186*q - 13462 = -2*o. List the prime factors of q.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 10. Let a = r + -5. What is the smallest value in 2\/9, a, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-42) + 88\/(-14). Let k(i) be the first derivative of -i**4\/4 - 2*i**3 + 3*i**2\/2 - 4*i + 787. What is k(z)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:09 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7988 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 7. Suppose -4*y + 2*w = 0, -y = -w - 2*w - s. Is (-2)\/1 - y - -67 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 - 0.01. Suppose -2*o + 11 + 12 = -3*j, -3*o = -3*j - 27. Which is the closest to 0.1? (a) -1 (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -75. What is the remainder when o is divided by (12\/(-15))\/((-4)\/90)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + 12) - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 934128143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 2 - 2 + (2*i + 0*i + 0*i)*(1 + 1 + 0) - 3*i + 0*i + 0*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/9 - (-1022)\/21.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {r: 2, y: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + 2*t**4 - 6*t**4 + 55*t**2 - 55*t**2 + 190*t**4 + (-t**3 - t**3 + 4*t**3)*(2 + 2*t - 2) - 2*t**4 + 0*t**4 + 0*t**4 + 14*t**4 + 24*t**4 + 0*t**4.\nAnswer: 228*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -12. Let f be 2 - 0\/(t + 2). Suppose 0 = -f*s + 4. Solve -3*d + 8 - s = 3*c, 17 = -2*c + 5*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -2\/13 (b) 5 (c) -2\/1473\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + -56923?\nAnswer: -56911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3 - 7. Let h = m - -9. Solve 0 = h*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12 - (-10)\/30)*(-38 - -27).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 + h**2 + 2*h + 1. Let b = 6 + -7. Let r be m(b). Solve -r*y + 9 = -3*c - 0, 0 = 5*y + 5*c - 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11526 + 11526. Solve 0 = -u*k - 3*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42058, 42065, 42076, 42091, 42110, 42133?\n\"Answer: 2*a**2 + a + 42055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fuftxfxxfu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247711063.\nAnswer: 17, 1823, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a - 10. Let l = -17 - -19. Let n be i(l). Find the second derivative of u**3 - 11*u + 10*u**3 - 11*u**3 - n*u**5 wrt u.\nAnswer: -160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -938\nAnswer: 375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 + 179*d + 997. Give g(49).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**4\/16 + 7*p. Find y, given that o(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97239 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -1)\/(((-5)\/(-1))\/5). Suppose -3*f + w*n - 4*n + 121 = 0, -2*n - 154 = -4*f. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -249, -373, -497?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3620, -3608, -3596?\nAnswer: -3584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*a + 14. Is (-53662)\/a*(3 + (-2)\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.03 - -0.03. Let l = 8 + v. Let d = 596 - 2381\/4. What is the second biggest value in d, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 12*j**2 - 3. What is the remainder when 223 is divided by l(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**3\/6 - 7*t**2\/2 - 2*t. Let b be o(-4). Sort -2, b, 1.\nAnswer: b, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -657 + 69. Let n be 15\/3*a\/35. Calculate the highest common factor of 742 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2684097 (base 10) to base 7.\nAnswer: -31546233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a**2 + 5*a - 12. Let f(i) = -3*i**2 + 2*i - 4. Let o(t) = 7*f(t) - 2*l(t). Suppose 2*g = 2*b + 8, g - 4 = -0*b - 2*b. Determine o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 2 - (8 + 105\/(-7)). Let u(z) = 2*z. Let h = -3 - -4. Let q be u(h). Put q, n, -4 in decreasing order.\nAnswer: n, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21740 + 43557 + 4*h**2 - 21722.\nAnswer: 4*h**2 + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(288) + -2)) + (sqrt(2) - 2*((sqrt(10)\/sqrt(5) - sqrt(2)) + sqrt(2)) - sqrt(2)) - sqrt(4)\/(sqrt(2) + sqrt(128)))**2 + 1.\nAnswer: -472*sqrt(2)\/9 + 28253\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 - 29304*h**3 + 1166052*h**2 - 2127056*h - 3322416 = 0. What is h?\nAnswer: -1, 3, 38, 7286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7 = -3*b + 6*b, -4*b = 4*q - 12. Let w(r) be the first derivative of -1\/2*r - b - 1\/8*r**4 + 1\/6*r**3 + 1\/4*r**2. Factor w(o).\nAnswer: -(o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41\/451*(-7 + 62)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109288 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2430092 (base 10) to base 11.\nAnswer: 140a845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (6\/27 + (-76)\/18). Suppose -3*o + 16 = -m + 2*m, 0 = -3*m - q*o + 32. What is the tens digit of ((-4)\/6)\/((-3 - m)\/399)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/8248489 or 0?\nAnswer: 6\/8248489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.97 - -0.03. Let y be 2\/(-12) + 6\/12. What is the second biggest value in r, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45684 and 430191.\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 2210 + 4416 - 2206.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - -1.94. Let q = -21 - -19. Let j be 20\/(-72) - 1\/q. What is the nearest to h in j, -0.4, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 + -1940\/17. Put g, -1\/3, 0.41 in ascending order.\nAnswer: -1\/3, g, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 3*s = -h - 6, 3*h = -2*s - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 2*x + 4. Let p = 4 - -16. Let a = 24 - p. Calculate n(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -28*v**3 + 5*v**2 - 5*v. Let f(p) = 29*p**3 - 6*p**2 + 6*p. Determine 5*f(j) + 6*m(j).\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 614*a + 5530. Let i be k(-9). Solve n + 4*b = i - 10, -4*b = 4*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4 + 8 + a**2 - 2 + 8*a. Let l be y(-7). Let r = -1 - l. Solve 4*s + 4*t - 4 = 0, 2*s + 2*s - r*t = -4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -16*y**3 + 4*y. Let i be x(2). Let z = i - -107. Let j(l) = -2*l - 17. Let b be j(z). What is the highest common divisor of b and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(0*j**2 - 2*j**2 + 3*j**2)*((-2*j + 4*j - j)*(4*j - 3*j + j) - 6*j + 6*j - 3*j**2).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 - 4539*t**2\/4 - 4542*t - 4543.\nAnswer: (t - 4543)*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(25\/(-26) + 1) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((-16 + -8 - -18) + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*p**2 - 17*p**2 - 4*p**2)*(11*p**2 + 2*p + 7*p**2 - 2*p**2) to l*p**2 + n*p + f*p**3 + h*p**4 + r and give h.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddfrfr. Give prob of sequence ddff.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2624*j + 2560*j - 832 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 5, 3, -216 in descending order.\nAnswer: 5, 3, -3, -5, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 18. Let p = -2 + o. Suppose p = h - 1 - 7. Solve h + 0 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-21)*18909\/(-1528)?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23719, 23749, 23761, 23749, 23707, 23629, 23509, 23341?\n\"Answer: -g**3 - 3*g**2 + 46*g + 23677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-20))\/((-4)\/104))\/((-4371)\/(-7285)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111100011010011 + -1000111011110?\nAnswer: 101110011011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 9*f - 4. Let b be q(8). Is 3 a factor of (b - 6)\/((-2)\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 8*f + 5. Let v be z(-5). Let k = v - 8. Let a(b) = b**3 - 6*b**2 - 3*b + 2. Does 10 divide a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = w - 3*g - 136, w - 5*g - 148 = 0. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13686763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272 = -2*h - 5*g, -4*h + 3*g - 127 + 2645 = 0. Let z = 1424 - h. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*z**4 + 195680*z**3 + 390584*z**2 - 594272*z + 8292 = 0 for z.\nAnswer: -3, 1\/71, 1, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -6, 20, 4161 in ascending order.\nAnswer: -42, -6, 20, 4161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1265515?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 168\/30)\/((-8)\/(-20)). Solve -4*t + 0*t = -s - 20, 0 = -5*t + q*s + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u + 114 + 106 = -44. Sort -4, 1\/4, 2\/11, -0.1, u in decreasing order.\nAnswer: 1\/4, 2\/11, -0.1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 16*h**2 + 14*h + 17. Suppose q + 75 = 5*p, -p + 2*q + 15 = q. Let m be v(p). Factor -560*t - 4*t**3 + 16 - 3*t**2 - t**m + 576*t.\nAnswer: -4*(t - 2)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -135. Suppose -2*i + 35 = m, -3*m + 3*i = 2*i - v. Suppose -m = -5*x + 26. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104432 (base 5) in base 10?\nAnswer: -3742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -4*f + 224. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -756660334 to the nearest one hundred thousand.\nAnswer: -756700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(75) - sqrt(75)*5))**2*-5.\nAnswer: -150000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*s + 453*s = 3*y - 9, -s = 3*y - 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-5)*(-187)\/61710*6450?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 129783138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 = 3*v - 2*p, -5*v - 5 = -4*p. Let m be ((-13)\/(-7))\/(45\/69). Let l = m + -19\/7. Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 11*z + 41. Give k(14).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77875015?\nAnswer: 5, 19, 819737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**3 + 3*v**3 - 10*v**3 + 5*v as t*v**2 + a*v + n + i*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g + 1 - g**2)*(-5 - 3 - 1).\nAnswer: 9*g**2 + 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 5*a**2 + 5*a - 22. Let b be w(5). Factor -2*z**2 - 1\/2 - 3\/4*z**b - 7\/4*z.\nAnswer: -(z + 1)**2*(3*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 7 - 36*a**3 - 5*a**3 + 3*a**2 - 5.\nAnswer: -33*a**3 + 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 24, -2*u + 36 - 10 = -4*j. Let w(h) = h**3 + 8*h**2 + 8*h + 5. Let r be w(-7). Sort -19, r, u, 0 in descending order.\nAnswer: u, 0, r, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -6 - (32 - 14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 6 - 2)*(-209*f - 246*f + 1082*f) + 6 - 6 + 5*f + f + 0 + 0 + (0 + 0 + 1)*(-5 + 5 + f) - 1 + f + 1 to v*f + d and give v.\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 22 = -5*f. Let n(d) = d - 6. Let z be n(5). Put -2, z, f in ascending order.\nAnswer: -2, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.642 + 95.442. What is o rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**4 + 1358*x**3 - 2777*x**2 + 1.\nAnswer: -48*x + 8148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 7 + -1 + -7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*g - 20075 = 485*g - 174*g + 23320 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 - -130. What is the third smallest value in 10, p, -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -225, -297, -333, -333?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11014 (base 9) in base 15?\nAnswer: -226d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 0.261, 0.5, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 32 - 7 - 25 - 314*l**2 to v*l + q*l**3 + r*l**2 + k and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134532 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x + 9. Let q be (-3)\/(x\/12)*1. Let n = -2.96 + -0.04. Which is the third biggest value? (a) n (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7702.\nAnswer: 2, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000100010 (base 2) in base 9?\nAnswer: -1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174756, -174634, -174430, -174144, -173776, -173326, -172794?\nAnswer: -172180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 4}. Give prob of picking 1 p and 3 m.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/351 + 3038\/189. What is the second biggest value in -3\/7, 2\/13, m, -4\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v + 23. Let y(u) = -15*u - 23. Let h(q) = -5*a(q) - 6*y(q). Differentiate h(r) with respect to r.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34995987 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -221, -300, -395, -506, -633?\n\"Answer: -8*c**2 - 55*c - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*p - 6 = -546*p + 4*y, -4*p + 171 = 65*y for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26838\/61 - 440. Let x = s + 73\/366. What is the nearest to -3 in -3, x, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) - (-2 + 3). What is the closest to -0.04 in l, 0, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*u + 2309*u = 161139 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*j - 19, 4*j - 2*j = 5*i - 16. Suppose -i*o + o + 28 = 0. Calculate the remainder when o is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hha when three letters picked without replacement from {a: 3, h: 2, s: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2587 + -4?\nAnswer: -258b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.269 + 0.821. What is t rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -331 + 335. Suppose 8*m - l*m = 3*p + 14, 2*m = -3*p + 16. Let y = -10 + 14. Which is the biggest value? (a) y (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308*r**3 - r - 54*r**2 - 42*r**2 + 96*r**2 + (-3*r**2 + 6*r**2 - 5*r**2)*(r + 3*r - 5*r) to y + g*r**3 + t*r**2 + j*r and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -1. What is the lowest common multiple of 66\/a + (-2)\/6 and (-40)\/(-6) + 60\/45?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + 6384\/(-216))\/((-28)\/(-18))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*r - 12. Let m be 4\/(55\/(-15) + 5). Factor -m*i - 14*i**2 - r*i**2 + 26*i**2.\nAnswer: 3*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+9796.7721\nAnswer: 9795.7721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67443519.\nAnswer: 3, 11, 13, 157211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, l: 6, z: 1, s: 4, t: 2, r: 3}. What is prob of picking 1 z and 1 t?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -3. Let m be 25\/5 - 12\/(-1). Solve v*z + 16 + 7 = 3*j, 5*j - m = 3*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = -10. Suppose 3*m = 8*m + 3*g - 117, -m + 37 = 4*g. Let v be 0 + (-3)\/(0 - m). Which is the nearest to -4? (a) v (b) r (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 26. Calculate l(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*15\/(-25)*3*6\/144?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 plus 16?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 31*c**2 + 54*c + 91. Determine y(29).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118041 and 315.\nAnswer: 1770615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -93*s**3 - 14*s**2 + 6*s - 18. Let o(c) = 91*c**3 + 12*c**2 - 5*c + 15. Determine 5*g(w) + 6*o(w).\nAnswer: 81*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/7 - 170*r**4 - 81176*r**3\/7 + 647320*r**2\/7 + 8772928*r\/7 + 2834560 = 0. Calculate r.\nAnswer: -515, -86, -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, c: 4, w: 4, e: 1, v: 1}. What is prob of sequence wce?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30)*(-222 + 267))\/(3\/19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 13*r - 3. Let c(a) = -9*a**2 - 6*a**2 + 15 + 11*a - 3 + 14*a**2. Let h be c(11). What is o(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o = 0. Suppose -6*h + 5*h = o. Solve h = 6*u - 3*u, -5*d = 5*u - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5. Let q(d) = d**2 - 3*d. Let h be q(0). Let g be (y - h)\/((-2)\/4). Calculate the greatest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/5 - (-4)\/5) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 34 + 6. Suppose 0*u = -2*u - x + 37, 4*x = 4. Calculate the remainder when (u\/12)\/((-1)\/(-10)) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -15.555 to 1 dp.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5. Suppose -26*g + 22*g + 68 = x. Solve 3*k + g = d + 4, 2*k + 3 = -5*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 819\/(-24) - ((-1806)\/(-112))\/129?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141739 - 0.4.\nAnswer: 141738.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28.673 or -0.0347?\nAnswer: -0.0347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22904, -45864, -68824?\n\"Answer: -22960*n + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18252 = 76*t + 41*t. Calculate the greatest common factor of t and 3484.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = 52*t + 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32370791.\nAnswer: 32370791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*i + 44*i - 886 = -258*i + 141*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 s when four letters picked without replacement from xxwxwwwwswswsxwssxss?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -48, -67, -86, -105, -124?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.150101994.\nAnswer: -0.0150101994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + 13 + -32 + (3 - -8) + -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1457.00001532 + 1457. What is o rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a95a (base 16) to base 8\nAnswer: -124532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -13058?\nAnswer: 13053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 <= 399861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 2*h - 3*h - h - h - 2*h + (-6 + 0 + 3)*(4*h - 3*h - 2*h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13264 - 3?\nAnswer: 13261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y, -85*k + 18 = -88*k - 3*y for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -351*a**3*p**2*r**2 + a**3*p*r**2 - 6*a**3*r + 148*a**2*p**2*r - 1192*a**2*r**2 - 20*p*r wrt p?\nAnswer: -702*a**3*r**2 + 296*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1205426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7671427609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -352 - -383. Is 0 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/950 and 29\/80?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1 - (-46 - -25)) + (-1 - 6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 1 q when three letters picked without replacement from fgqwgqugqrgqq.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pdcpyyp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 13*m**2 - 208*m + 382. What is q(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 14. Let u be f(-12). Suppose 2*n + 5*n = 91. Put u, -2, n in ascending order.\nAnswer: -2, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -515*h. Let p(b) = 2*b + 472. Give i(p(o)).\nAnswer: -1030*o - 243080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 245 = -14*d. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 73168306 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861024 is divided by 97943?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5983975*b**2 + 21942*b?\nAnswer: -11967950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3525*p**2 - 59922*p - 42. Calculate j(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 259887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 82*x + 166. Let a be m(-80). Let i(v) = 2 - 5 + 3 - 1. Let z(c) = -12 + 2 - 3*c + 2. Give a*i(p) - z(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 35. Let w = x + 60. Let n(r) = 4*r**3 - 3*r**2 - r - 2. Let l be n(3). What is the highest common factor of w and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 88 (b) 0.1444 (c) -1\/5 (d) 2\/87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3366)\/(-176)*2\/3)\/((-42)\/(-56)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6210*j - 5069*j = -6260*j + 710496 for j.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 747 (base 10) to base 2\nAnswer: 1011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {u: 2, r: 3, a: 4, t: 1, l: 6}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4877 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63 - a?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8d340 + 2?\nAnswer: 8d342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1529, 1323, 1117, 911?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h + 6. Give c(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49bb7 (base 14) in base 5?\nAnswer: -21240202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -0.26 (c) 50 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60261\/11752 + 4\/1469. Let u = -1421 + 17065\/12. What is the common denominator of y and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 13. Calculate o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 232.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -9 - (21 + -10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 5*j**2 - 5*j + 4. Let h be g(2). Solve -h*r - 10 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*f**4 - 11340*f**3 - 132830*f**2 - 37260*f - 2645 = 0. What is f?\nAnswer: -23, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-84) - (-2)\/(-7). Let n = -607\/7 + 87. Let u = -251 + 751\/3. Which is the closest to n? (a) 0 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y)**42\/(y**(-2))**(-45) assuming y is positive.\nAnswer: y**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1310, -1324, -1336, -1346, -1354, -1360, -1364?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5992 + 4262. Let o = a + 1763. Let v be 1*2\/((-2)\/(-55)). What is the highest common divisor of o and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 1. Let b(j) = -7*j**2 - 2*j - 6. Let q(o) = -b(o) + 6*f(o). Let p be q(-3). Find the second derivative of 2*s - s**3 + s**p + 2*s**3 wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**4\/4 - 35*x**3\/3 + 101*x**2. Let y be u(11). Let o = 5 - 26\/5. Which is the third smallest value? (a) o (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513424703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1 - ((-405)\/30 + 13)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 6*w**2 + 14*w - 41. Let u be k(3). Solve 2*t - 2*v + 0*v - 2 = 0, -2*t - v - u = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 15*a - m + 17, 0 = a - 3*m + 6. Let p(o) = -7*o + 3. Let w(x) = 6*x - 4. Let n(u) = 3*p(u) + 4*w(u). What is n(a)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -296, -440, -584?\nAnswer: -728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/504 and 121\/560.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 3)*(-2*p + 2*p - 8*p)*(27*p - 6*p + 16*p)*(9 - 9 + 17)*(2 + 4 - 7) to the form n*p**2 + i*p + y and give n.\nAnswer: -15096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -6)*2\/4*3. Let s be d\/((-30)\/4) + (-320)\/(-425). Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198.6 - 198.8. What is the fourth biggest value in z, -1\/3, 8, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -14, 250, 514, 778, 1042?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 28*p - 127 - 3*p - 2*p - p. Let z be j(6). Solve z*k = 32 - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(-1 + 2*w**2 + 1) + 92*w**2 + 28*w**2 - 6*w**2 + (4*w - 4*w + w)*(-2 + 2 + w) as g + t*w**2 + h*w and give t.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnq when three letters picked without replacement from {n: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 502419 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/14854 and -86\/9135?\nAnswer: 19384470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.28 (b) 1208\/13 (c) -0.269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4024953422.\nAnswer: 2, 7, 17, 157, 107717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*b = -0*b + 10, 5*i - 16 = b. Suppose 0 = -u + 2*g + 15, u + i*g = -0*u - 10. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1035489 + -1035194.0054. Let v = c + -295. Round v to 4 dps.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59087, 58648, 58209, 57770, 57331, 56892?\n\"Answer: -439*y + 59526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 30. Suppose 0 = -a*h + 14 + 11. Suppose -2*i + h = -13. What is the remainder when 44 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2776?\nAnswer: 2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, o: 1}. Give prob of picking 2 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:31 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.038 - 117.962. Sort 2, u, -1\/4 in descending order.\nAnswer: 2, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 11*m**2 + 13*m + 13. Let w be c(-12). Let l(h) = 6*h**3 - h. Let p be l(-1). Let z be (10\/(-15))\/(p\/(-3)). Which is bigger: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*k + 2*k = 5, -3*z - 10 = 5*k. Let v be z\/75 + 6\/10. Which is the second smallest value? (a) -2 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3921 to two dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -62515\nAnswer: 12\/62515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 370 divided by 4\nAnswer: 185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 7579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 19 = -2*c, m = 4*c - 0*m - 11. Let z(x) = -6 - x**c + 1 - 2*x - 6*x. What is the tens digit of z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233412317 to the nearest integer?\nAnswer: 15278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 2. Let d be y(-4). Suppose 0 = -5*f + 2*x + 9, 3*f + d = f - 4*x. What is the remainder when 1\/((-2)\/(-5 + 3)) - -2 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/24)\/(9\/12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10204067243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*a - 4. What is the second derivative of -4*y + y**3 + a*y - 2*y wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g + b - 4 = 0, -5*b = -5*g + 30. Let q = -2 + 6. Solve -3*a = j + 4, -j + g*j - 2*a = -q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 7*a**2 + 8*a + 4. Let i be d(8). Solve 2*f + i + 0 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129218760 take away -0.02?\nAnswer: 1129218760.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3, -528?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 1, -9 in decreasing order.\nAnswer: 1, -9, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 19*x - 15. Let o be b(-7). What is the highest common factor of o and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2145\/50 - (-3)\/30. Suppose 5*d = 4*y - 493, y - d - 165 = -c. Solve -4*o - 113 = -y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.185665ml?\nAnswer: 0.007185665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/52 and (4\/(-6))\/(66568\/471).\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/2, 0.3, 4, 547?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = 2*w, -20 = 4*t - 0*w - 5*w. Is 12\/49 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -40. Let l = o + -16.75. Let n = 2 - l. Round n to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180222 by -14.\nAnswer: 12873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 4*x - 1003 + 621 + 374. Suppose 19 = -2*c + r + 5, 4*c - 3*r + 30 = 0. Determine j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 425 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -161265, -644634, -1450247, -2578104, -4028205, -5800550?\n\"Answer: -161122*o**2 - 3*o - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 18*c**2 + 91*c + 62. Let j be k(-22). Sort -14, -2, 7, j, 4.\nAnswer: -14, j, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9888 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*1 - (-584)\/6. Suppose 3*b = 2*b + x. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**3 + 110370*t**2 - 441420*t + 441400 = 0.\nAnswer: 2, 22070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-8)\/(-5)) - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119))\/sqrt(7) - (sqrt(153) + 3).\nAnswer: -2*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1834 divided by 1164?\nAnswer: -917\/582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdzzpzsgdzpd. Give prob of picking 1 z and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 divided by 41?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216436651?\nAnswer: 827, 261713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen halves of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.3 + 0.7. Let p = 5 - t. What is the smallest value in 0.5, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1563, 4, 2, -3, -1461.\nAnswer: -1461, -3, 2, 4, 1563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*o + 80*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgg when three letters picked without replacement from {g: 5, f: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b - -428?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 22. Suppose -m*q + 7*q = 75. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424332161.\nAnswer: 11, 38575651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -6)*5\/5. Suppose -k*r + 0 = 4. Is r >= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 41*n**2 + 3736*n + 428. Determine i(-91).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 = -q + 3*f, -q + 23 = -5*f. Find the third derivative of b**2 - 5*b**2 + q*b**6 - 6*b**2 wrt b.\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*g - 25 = 0, -c + 2*g - 2 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-21))\/((-16)\/224).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-14)\/27 + (-6)\/54. Calculate the greatest common factor of u and 110.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + g + 2*g)*(1 + 1 - 1) - 254*g + 9287*g + 1758*g.\nAnswer: 10789*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2783 and 4\/55479105?\nAnswer: 55479105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 58. Suppose 3 = 5*j + 3*x - o, 2 = x. Suppose 14 = u + 6*u. Solve -4*w = -u*w + 3*s - 20, -2*w = j*s - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33171 - -33171. Which is the nearest to 0? (a) u (b) -0.1 (c) -0.0547 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38022 is divided by 319?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + y**2 - y. Let r = -9 + 11. Let c(s) be the third derivative of -s**6\/40 + s**5\/20 - s**4\/8 - 11*s**2. What is r*a(w) - c(w)?\nAnswer: w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - u + 4*u)*(-814 - 825 - 232) to the form w + y*u and give y.\nAnswer: -3742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y + 16. Does 14 divide y\/12 + 246\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-20)*2010\/804.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, 26, 20, -6, -58, -142, -264?\n\"Answer: -m**3 - m**2 + 18*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5015 = 4*y - 9*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121839262 rounded to the nearest one hundred thousand?\nAnswer: -121800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1668*o**2. Let u(p) = 86997*p**2 + 2. Give u(w(r)).\nAnswer: 242045141328*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652114 (base 8) to base 6.\nAnswer: 4402044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2127*g**3 - 1428*g**2 wrt g?\nAnswer: 12762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 2*d - 13. Calculate a(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 49*m**3 - 4*m**2 + 36*m. Let g(k) = -11*k**2 + k**2 + 9*k**2. Let b(r) = -4*g(r) + v(r). Find the second derivative of b(c) wrt c.\nAnswer: 294*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122276 is divided by 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 52?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m + 4. Give h(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -877980*u**4 - 2*u**3 - 45*u**2 + 68933.\nAnswer: -21071520*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/425 and -22\/663925.\nAnswer: 11286725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v = -l + 79, 741*l - v = 739*l + 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 1 - 1 + 55*g - 122*g + 35*g + (-2 + 2 + 2*g)*(-3 + 0 + 5) + 4*g + 0*g - 11*g)*(-2*g + 6*g + 0*g).\nAnswer: -148*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1728 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/22*(1 + (-11)\/5)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/269? (a) 4 (b) -1\/2 (c) 0.4274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9437 and 1253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9 + -5. Let y = -7 + 4. Sort m, y, 0 in descending order.\nAnswer: 0, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121023 + 10?\nAnswer: 121033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(-33)\/((k*k*k*k**(-4)*k)\/(k\/((k*k\/((k**(-9)*k*k*k)\/k*k))\/k))) assuming k is positive.\nAnswer: k**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/21 and 44\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697 is divided by 36 - (-4 + -5 + (-8 - -7)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -1, 12, 45, 104, 195, 324, 497?\n\"Answer: j**3 + j**2 - 11*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 267, 332, 451, 642?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -74*o + 302, -45*o - w = -40*o - 42 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 11. Let p = 337 - 187. Suppose 0 = 5*r - 5*i - 140, i + 4*i - p = -d*r. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1\/2 (c) 0.4 (d) -7897\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11965 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 82*o - 1106. Let f be k(65). Sort 2\/11, 1\/299, f in increasing order.\nAnswer: f, 1\/299, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 15*s**2 + 139*s - 1945. Give n(11).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, -0.16, 5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 15 = -3*j. Let z = 7 + j. What is the second derivative of -37*m**2 + 3*m + 0*m + 35*m**z wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1421*v**2 + 2*v + 9674. Let j(o) = 11367*o**2 - 16*o - 77357. Let y(m) = 3*j(m) + 23*s(m). Find the first derivative of y(p) wrt p.\nAnswer: 2836*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53\/152 - 1555\/608. Find the common denominator of 101\/192 and d.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-20))\/o)\/((o**(-3\/14)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-263\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + ((sqrt(78)*-2)\/sqrt(6))**2 - (sqrt(208) + 1)**2 - (sqrt(91)*-1*-4)\/sqrt(7).\nAnswer: -157 - 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3360 - 1698 - 1663 - 2965*h**2 in the form j + r*h + x*h**2 and give x.\nAnswer: -2965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4\/3, 8, -12.1, -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6360085, -6360103, -6360121, -6360139, -6360157?\nAnswer: -6360175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-5))\/((-15)\/50). Suppose n*h + 17 + 11 = 0. Let p = 5 + h. Let u(m) = m - 1. Calculate u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 54. Let s be (-14)\/(-63) - ((-2500)\/45)\/2. Let i be l(s). Solve -14*a + 12*a = -i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/10 and 151\/23051922.\nAnswer: 115259610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 7*m**2 + 6*m + 2. Let w be g(8). Let o = w + 23. Suppose -3*q - 5*a + 45 = -0*a, q + 2 = 4*a. Calculate the least common multiple of o and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -587.0045 take away -2?\nAnswer: -585.0045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 = 2*d - 15, -41 = -3*d - 4*r. Suppose 2*y - 2*w = 6*y - 600, -2*y + w + 308 = 0. What is the greatest common factor of y and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 7 - -5) + 1 + -9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:07 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 637.\nAnswer: 636.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1100) + sqrt(44))\/(-4*sqrt(12)\/sqrt(3)).\nAnswer: -21*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 553 + 449?\nAnswer: 9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.17856 (b) 0.4 (c) -1\/4 (d) -1.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3497\/(-538)*(720\/39)\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/48 and 73\/28.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 47 = -5*a, 10*x - 4*a - 48 = 8*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and 609.7.\nAnswer: 600.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -112032320210 (base 4) in base 13?\nAnswer: -12909cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*x - 4, -840*m - 4*x = -837*m + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.14 - 41. Let v = x + 1.67. Let u = 1.80869 - v. Round u to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 7) to base 13.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6190 and 1431747.\nAnswer: 14317470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 + 65. Suppose 3*r + u = 3*g + 7*r, -2*g + 4*r = -114. Suppose -3*j - g = -144. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*x**2 + 1234*x**2 + 1552*x**2 - 5904*x**2 + 1563*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-14))\/((-85399)\/8533 + 10). Calculate the highest common factor of 4 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 4:47 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*c = 4*c - 1043, 2*w - 2*c = 422. Calculate the least common multiple of w and 27.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:20 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 8*n**2 + 6*n + 10. Let i be h(7). Let v(l) = -i*l**2 + 2*l**2 + 4*l**2. Let y(t) = t**2 - 8*t**2 + 5*t**2. What is v(y(j))?\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.1 (b) -5 (c) 0.3 (d) 0.034\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2\/2 + 3375*v - 3796875\/2 = 0.\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 = 14. Put 3, -9, b, -4 in increasing order.\nAnswer: -9, -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 10*s**5\/13 - 42742*s**4\/13 + 775702*s**3\/13 - 4726666*s**2\/13 + 10667104*s\/13 - 6673408\/13 = 0.\nAnswer: 1, 16\/5, 7, 4256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t + 4. Let o be c(-6). Let m = o + 0. What is the common denominator of 7\/11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5\/11 + 28884*j**4\/11 - 57774*j**3\/11 + 28888*j**2\/11 = 0.\nAnswer: -14444, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4194 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d - 403. Calculate n(-38).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 + 45 + -73 - (2 + 10)) + 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -18, 1.2, 289\/13, 0.5, -3, -0.3, -26?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 22*s**2 + 14*s**2 - 2*s + 2 - 1. Let x be n(3). Suppose 99 - x = -2*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2. Let a(l) = -56*l**2 + 49. Let r(s) = s**2 - 1. Suppose -3*n - 3*n = -30. Let f(g) = n*a(g) + 245*r(g). Calculate f(o(u)).\nAnswer: -35*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 910524*p - 1821040.\nAnswer: -2*(p + 2)*(p + 455260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -771064*d**2 + d - 5996?\nAnswer: -1542128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/761420 and 86\/51915.\nAnswer: 2284260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0 + 41\/156*b**4 - 19\/390*b**6 + 4\/65*b**5 + 15*b**2 + 10\/39*b**3 - 1\/728*b**8 - 34\/1365*b**7 - 4*b. Solve v(n) = 0 for n.\nAnswer: -10, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 57649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, -0.5, -24\/53?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -148*w - 1914. Determine p(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -3\/4 (c) -5 (d) 1969\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10428135.\nAnswer: 3, 5, 673, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 48*l**2 + 107*l + 31. What is the thousands digit of d(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74139.81 millennia in months?\nAnswer: 889677720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-765)\/(-30)*(-37)\/6. Let z = -157 - o. What is the nearest to -0.1 in 2\/11, 3\/5, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, -3\/25, 3\/4, -1\/3?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-246)\/(-21) + 8\/28. Solve -3*c = s - y, -c + 8 = c + s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*i - 4, i - 4*h + 537 = 548. Let x = -1 - -1. Calculate the remainder when 29 + (-2 - x\/i) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -44. Solve -o - t = 3*k, 21 = 2*o - 0*o - 3*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3412, -9678, -18790, -30742, -45528?\nAnswer: -63142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (21\/10)\/(224\/(-2240))*24\/(-14)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -25869*x - 132928*x + 1302752*x + 386045*x. Let p be c(-2). What is p rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16189 - -388?\nAnswer: -15801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*t = 309*t - 394912. What is the remainder when t is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9225775.\nAnswer: 5, 13, 28387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934*i = 27080 + 8412 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**5\/75 + d**4\/5 - 6*d**3\/5 - 3*d**2. Factor q(x).\nAnswer: -4*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.34 + -1.09. Let t = 0.25 - j. Let l = 14.99999994 + t. Round l to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(255)*-2)\/sqrt(5))\/(sqrt(3) - sqrt(18)\/sqrt(726)).\nAnswer: -11*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 4*r**2 - 3*r - 2. Give y(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/7))\/d)**(-1\/3)*(d**5*d)\/(d*d**2) assuming d is positive.\nAnswer: d**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 64 = 74. Let u = 202 + b. Let m = -109 + u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -441 + 445.18. What is t rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*b + 30, 12 = -2*b + 6*b + t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 1 + 5*f - 2*f + 4*f. Let g be s(1). Let b = g + -3. Solve -2*o - 11 = j, -5*j + b - 5 = -3*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -41 (b) 4.8 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143468768.\nAnswer: 2, 4483399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 + 106*f**4 + 416*f**3 + 406*f**2 + 93*f = 0. What is f?\nAnswer: -31, -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 599 - 832. Let r = d - -1131. List the prime factors of r.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 34*w + 20. Let h be s(-11). Let v(r) = -9*r + 26 + h*r**3 - 26 + 8*r. Calculate v(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3117474 (base 8) to base 13\nAnswer: -22c686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -3*j**2 + 11*j - 1. Let p be v(8). Let q = -109\/3 - p. Sort -1, q, 0.1 in descending order.\nAnswer: q, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 436*l**4 + 318829*l**3 - 318829*l**3 + (0*l**2 + 3*l**2 - 2*l**2)*(-2*l**2 + 4*l**2 + 3*l**2) as k*l**2 + t*l**3 + c*l + o*l**4 + p and give o.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 - 262320*x - 44389202 = 0.\nAnswer: -169, 131329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 1. Let y(o) = 3*o**2 - 4. Let h(r) = 4*d(r) + y(r). Let j(q) be the second derivative of -25*q**3\/6 - 30*q. Determine j(h(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08816 or 31?\nAnswer: -0.08816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 0.3 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**11\/(r*r**4)*(r*(r\/r**6)\/r)\/r*r*r**5*r assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147586?\nAnswer: 2, 109, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -24781\/24390?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**9\/3780 + c**5\/60 + c**4\/8 + c**2. Let a(w) be the second derivative of h(w). What is the first derivative of a(u) wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06307857 rounded to 5 decimal places?\nAnswer: 0.06308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1261*a**5 - 41*a**4 + 3*a**2 - 73 - 503*a**5 + 41*a**4 wrt a.\nAnswer: -105840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -f. Let c = f + 1. Suppose c*x + 2*x = 0. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*j - 17 = 0, -3*l + 0*j + 1 = -4*j. Solve 0*x + x + 2*z = -6, -l*x = -5*z - 37 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11238579?\nAnswer: 3, 11, 61, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 0.178, -7, 5\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(w + 2*w - w) + (-5 + 2*w + 3 - 7*w)*(5 + 5 - 6).\nAnswer: -26*w - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 8:06 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1725, -4502, -8341, -13248, -19229?\nAnswer: -26290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 65. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10417171 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 5*t**4\/3 + t**3\/6 - t**2 + 2*t + 1. What is the second derivative of x(k) wrt k?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.7 + 20.700000382. What is v rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 - -95. Suppose 2*z - 4*j = 18, 10 = -5*z - 5*j + 4*j. Sort s, z, 4 in descending order.\nAnswer: 4, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48118 or 57163?\nAnswer: 57163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15429943 and 43036.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214447666.\nAnswer: 2, 107223833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f + 3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2651970 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -607*r + 602*r + j, -r - 15 = -4*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -8117729.\nAnswer: 6\/8117729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -84262?\nAnswer: -84261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*b**3*f**6 - 141*b**3*f**4 - 3104*b**3*f**2 + 4*b*f**2 wrt f?\nAnswer: -12120*b**3*f**3 - 3384*b**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 705.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4072 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -136. Let p = -2 + 8. Calculate the least common multiple of p and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from yyysyyyfy?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h*v**2*x + 440*h*v*x + h*x - 11*v**4*x wrt v?\nAnswer: -34*h*x - 132*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 38.218097.\nAnswer: 37.818097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 12:10 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/31 + -1261\/155. Let b = 82036548188\/5120595 + -4246481\/265. Let j = 1\/2147 - b. What is the common denominator of j and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and (-52)\/(-8) - (-2)\/(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11070760543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.3 + 4.5. Let c = -232.13 - -232. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (5 - -4) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - (-35 - 6) - (-3 - -22)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 192057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29668 or -59333\/2?\nAnswer: -59333\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -4 - -7 - 75\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 960*b**3 - 591*b**3 + 522*b**3.\nAnswer: 891*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(33028\/359)\/(2*1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 6*f - 22. Let r(j) = -j**3 - 20*j**2 - 20*j - 28. Let m be r(-19). Let k be d(m). Solve -z + 5*t = k, -t + 1 = -0*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 - 127. Let h be (-7)\/t*3 + 3. Factor 3\/4*s - 3\/4*s**3 - 3\/4*s**h + 3\/4.\nAnswer: -3*(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in -0.02, 1841, 179?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 4 (c) 1.7 (d) -2 (e) -65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10533 - 10528. Solve 2*w = -2*f - 14, j*w + 24 = 2*f + 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 + 6 - 3 + 4 + 1 - 1 - 1 + 3 + (0 - 4 + 2)*(-2 - 1 + 2) - 1 - 1 + 5)*(0*t - 2*t + 0*t).\nAnswer: -52*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -18*c**2 - c - 6. Let l be u(-3). Let w = 198 - l. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z. Let f(q) = 40*q**2 + 12*q. Give -f(j) - 12*g(j).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79690750 * -5.\nAnswer: 398453750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 - 0) + -37 + 30 - 3) + 12 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*k + 106*k**5 - 63*k**5 - 75*k**5 wrt k.\nAnswer: -640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19325149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 4*u - 16, -20 = -19*f + 17*u - 12*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 238829713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198157 is divided by 49530.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-9066.134.\nAnswer: 27198.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21307)\/(-65858))\/((-25)\/(-170))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 4*a**2 - 5*a - 1. Let m be k(-5). Let d = m - -4. Suppose d = 5*y - 12. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 8. Suppose -n*b + 10 = -0*b. Suppose z + 3*d - b = 0, -3*z + 8*z = 4*d + 44. What is the remainder when 13 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -17*r**3 - 10*r**2 - 3*r - 4. Calculate the lowest common multiple of 2950 and m(-1).\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -1025.8?\nAnswer: -1029.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3 - 3)*(3 - 3 + 6) - b + 0*b - 2*b + (6 - 2 - 2)*(3*b + 2*b - 4*b) - 3*b + 2*b + 0*b - b + 8*b - 3*b + 0*b - 8*b + 0*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 69.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3721894 + 3721893.4899946. Let f = 5.69 - 6.2. Let c = f - b. Round c to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 - 4*p + 7. Let u be 4 + 0 - (46 - 41). Let o(l) = 20*l + 225. Let c be o(-11). Let f(d) = d**2 - d + 1. Give c*f(a) + u*q(a).\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -16.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 - -113. Which is the closest to -1? (a) -0.14 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251533 (base 9) to base 15.\nAnswer: 300cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71 - 0?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djvjjvvjqdavvjvjjqvv. Give prob of picking 1 a, 1 q, 1 d, and 1 j.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -77 + 86 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2195 divided by -2\nAnswer: -2195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 + 8*h. Determine j(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25095908 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13600 and 416800.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 27 = -2*v. List the prime factors of v\/((-16)\/(-50)) + (-1 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(sqrt(60) - sqrt(600)\/sqrt(10)) - sqrt(60))\/(sqrt(108)*3).\nAnswer: -5 - sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:07 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 2*l**2)*(2 + 4 - 4) + 4*l**2 - 4*l**2 + 2*l**2 - 5*l**2 + l**2 + 2*l**2 + 2*l**2 + 2*l**2 - 6*l**2 + (400*l - 31 + 31)*(0 + 0 + l).\nAnswer: 394*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 9*w**2 - 9*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3 - 13*t**2 + 4*t**3 - 4*t**3 - 5 + t**3 + 21*t. Let h be i(14). Suppose h = 4*d + u - 5*u, -4*u = d - 107. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3*p*p)\/(p**(-5)*p))**(4\/11) assuming p is positive.\nAnswer: p**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(7\/2)\/r*r*r*r*r)\/r)\/(r*r**(-1\/12))*r**(-3\/14)*r**(1\/35)*r assuming r is positive.\nAnswer: r**(3107\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*c - 3*c**3 + 24*c**2 - 32*c**2 + 98*c + 4*c**2 - 2 to t*c**2 + p*c**3 + l + o*c and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -1, 3\/8, -5, 0.4, 5, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-13\/7)\/(h*h**(1\/13)) assuming h is positive.\nAnswer: h**(-267\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2 - 14*k - 5. Let b(s) = -7*s**2 - 26*s - 9. Let z(v) = 3*b(v) - 5*h(v). Give z(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43\/2 - 23. Let n be (-3)\/(-1)*8\/108. Let t = 0.02 + 0.08. What is the nearest to n in j, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119706959*d - 239392310 with respect to d.\nAnswer: -119706959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/234*(-1 - 2))\/(6\/(-153)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -64203 (base 7) to base 4\nAnswer: -3320013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*n. Let i(k) be the third derivative of n*k**4 + 0*k + 0 + 0*k**3 + 1\/60*k**6 + 1\/30*k**5 + 3*k**2. Find the third derivative of i(v) wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 7*v + 7. Let d be o(6). Let t be (3 - 4 - d) + 31. Let q = 31 - t. Solve -q*k = 7*j - 3*j + 4, -4*j - 3*k - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(18)*2 - sqrt(18)))\/(sqrt(729) - (sqrt(729) - sqrt(729)*-1)) + 3 + (sqrt(288) - (-1 + sqrt(288))) + (3*sqrt(2)*4)**2 + -5.\nAnswer: -2*sqrt(2)\/3 + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:01 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2 - (-23)\/(-11)). Let k = 98 - 114. Let f = k - i. Solve 3*t + f = -5*v, -2*t - 2*t - 8 = -5*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312649020787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520*-3525.21.\nAnswer: -1833109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 3*p**4\/4 + 9*p + 6. Let q(x) = -2*x**3 - 5. Let a(l) = 4*d(l) + 9*q(l). What is the first derivative of a(h) wrt h?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 625 + -626. Let i = 27 + -19. Sort i, 2, y in ascending order.\nAnswer: y, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6549 - 3920. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -0.1, 3, 2\/11, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + 39*q**2 - 52*q - 39. What is b(18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 + 32)*2\/(-6). Let x = 8 - a. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12982563 - 0.1297. Round t to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -13. Let q(v) = v**3 - 7*v**2 + v + 9. What is the lowest common multiple of q(h) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.451233mm?\nAnswer: 9451.233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8545*y**2 - 16 + 4279*y**2 + 4271*y**2 + 16.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4 - 4. Suppose a = x + 3, 3*x = 4*j + 4*x - 129. Suppose -14*h = -10*h - 88. What is the highest common factor of j and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-1 - (-1236)\/20. Let r = p - 60. Let l = 0.087 - -11.913. Which is the second smallest value? (a) r (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 5:20 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12078)\/(-1496))\/(-61))\/((-9)\/(-30)*5\/(-8))?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4040\/46 - 3) + (-1292)\/(-7429)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x. Suppose w + 7 = n + n, 32 = -4*w + 4*n. Let y = -8 - w. What is the remainder when 43 is divided by l(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -194635714 and -0.4.\nAnswer: 77854285.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + -11 + 11 + -13. Let x be (6\/(-3))\/(2 - 3). Solve -2*u + m + x = -9, 5*u - 2*m - 25 = g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33 (b) 2\/19 (c) 256\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 119. What is the units digit of 15 + p - (4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*t**2 + 974*t + 170803 wrt t.\nAnswer: 78*t + 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3 - -10)) + (-34 - -15) + 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-16)*2*-4. Let w be 3\/1 - (-18)\/p. Suppose -78 = -w*t + 3*t. What is the greatest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*t**2 + 467*t**2 + 6*t**3 - 8*t**3 - 935*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 721608 and 38216?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323732 is divided by 1049?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/4 and -26 + 30 + 318\/(-80)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 377, 841, 1491, 2327, 3349?\nAnswer: 4557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:16 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22308 and 16827668.\nAnswer: 50483004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6161.745ml in litres?\nAnswer: 6.161745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/(n\/n**7*n))))\/n*n)\/n)**(-30) assuming n is positive.\nAnswer: n**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*i + 209, 16 = -4*t - 4*i + 260. Calculate the remainder when 111 is divided by t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*y + 105 = -3*y, 0 = -4*t + 5*y + 465. What is the greatest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(405)*1 - (1*sqrt(405) + -5 + -5 + 0 + sqrt(405)))*-6*-5)**2.\nAnswer: -178200*sqrt(5) + 473400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -212, -482, -860, -1346?\n\"Answer: -54*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1045.8 (b) -39 (c) -14 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.294 and 0.54.\nAnswer: -0.15876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:43 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**7\/42 + 493*p**5\/10 - p**4\/6 - 1290*p**3 + 2134*p. Find the second derivative of c(f) wrt f.\nAnswer: -20*f**3 + 5916*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379822 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: Let c be 1\/(-4) + (-2492)\/(-240) + -10. What is the nearest to -2 in 7, c, -3\/7, 1\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1179065, 2358140, 3537275, 4716500, 5895845, 7075340, 8255015, 9434900?\n\"Answer: 5*t**3 + 1179040*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -126 - 114. Let f be ((-4)\/(-10))\/((-2)\/(-50)). What is the greatest common factor of f and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*sqrt(95)*2)\/sqrt(1620))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2030 - -3?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x + 606 = 1194 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 306111816 - 306111774.0000023. Let q = -42 + g. What is q rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3 - g**3 - 2*g + 3*g**3 + (-5*g - 1 + 1)*(6190 - 6190 - 415*g**2) as q*g**2 + j + z*g**3 + b*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 6. Let b be y(4). Suppose -b*z + 4*r + 24 = 2*r, 5*r = -2*z + 52. Let j = 27 - z. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v + 51. Let y be c(7). Suppose y*b = 7*b - 0*b. Is 3\/7 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*k - 40 = 0, 2*t + 2*t - 3*k - 30 = 0. Suppose -2992 = n - t*n - 3*c, -n + 597 = 2*c. List the prime factors of n.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 64858*l + 4 + 15 + 5.\nAnswer: 64858*l + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 2, a: 4, y: 2, q: 3, u: 2}. Give prob of sequence qeu.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 364\/42)*30\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3)*l*l)**(-7))**(-4\/3)*l**(1\/5)\/l**8*(l*l**(-1\/3)*l*l)\/(l\/(l**(-4)*l)) assuming l is positive.\nAnswer: l**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/589 + (-7)\/(-133)*-188.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-4)\/12*-1*3\/(-2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 484472 divided by -5266?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r*r\/r**2*r)\/r))**(-17))**(1\/4) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v + 5*v - 616 = v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 0*l + l)*((1 - 1 + 1)*(1 - l - 1) + 3*l - 5*l + l - 3 - 2*l + 3 + 5 - 5 - 2*l + 4*l - l - 2*l).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.078 + 0.748. Let f = q - 0.64. Is -2\/13 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*q + 13, -k + 4*k = 3*q - 15. Let g(t) = t. Determine g(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6) + -30 + 36 - (4 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wem when three letters picked without replacement from {n: 4, m: 1, z: 2, e: 1, w: 2, s: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9218.315cm?\nAnswer: 92183.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -24. Which is the second biggest value? (a) -2\/3 (b) q (c) 0.1 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w**2. Let a(y) = -129 + 3*y + 129. Give a(f(k)).\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 567736.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -421 - -712. Suppose w = 25*p - 22*p. What is the remainder when p is divided by 42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -145, -270, -397, -520, -633?\n\"Answer: z**3 - 7*z**2 - 111*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3927 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y*y\/(y*y\/((y*y**13)\/y*y))))\/y*y*y*y*y)\/(y**1\/y))\/((y**(13\/5)*y)\/y*y*y*y*y*y*y**(-3\/10)) assuming y is positive.\nAnswer: y**(-163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, 134, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/2 - 5*v**2 - 20*v. Let z be r(5). Solve -5 = -5*u + 3*l, 3*l + z = 4*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 1, j: 1}. What is prob of sequence rrj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41491, 41501, 41533, 41599, 41711?\n\"Answer: 2*l**3 - l**2 - l + 41491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -100\/353 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 3 (c) 0.2 (d) -117\/1529 (e) 52\/7 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 12*a - 8. Let j(i) = -i**2 + 4*i - 3. Let b(w) = -3*h(w) + 8*j(w). Solve b(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {o: 1, u: 1, j: 1, z: 5, r: 1, s: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 5.8 and -5\/51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 450*n**3 - 840*n**2 - 118*n - 4.\nAnswer: 2*(n - 2)*(15*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 0) + -2 - 34*-4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28540 - 28538.7127. Round a to two decimal places.\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 6. Suppose 4 = 5*v + h + h, 7 = 2*v - h. Suppose -t - 2*r = 7, t = -v*t + r. Let d be (-7)\/t*-1 - -2. What is m(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42185629 take away -165.3?\nAnswer: -42185463.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 5*b**7\/42 + b**6\/3 - 3*b**5\/4 - 5*b**4\/3 + 10*b**3\/3 + 59*b - 1. Factor r(u).\nAnswer: 5*u*(u - 1)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7598225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(sqrt(500)*1 - sqrt(500))*1 - (sqrt(55)\/(3*sqrt(33)\/sqrt(3)) - (sqrt(5) + -1 + -2*sqrt(5) + -1*(sqrt(5) + 1)**2)).\nAnswer: -10*sqrt(5)\/3 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 18 = 0. Let l be 9\/q*2\/1. Suppose -2*x + 5*f = -72, 0*f + 5*f - 158 = -l*x. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2 + (-2 + 6 - 2)*(-4 + 1 + 1) - 10 + 13 - 47)*(-12*k**3 - 1777*k**2 + 1777*k**2) to the form t*k**2 + c*k + y*k**3 + m and give y.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*t + 505*t + 27*t**2 - 159*t - 159*t - 30*t.\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 6*r**2 + r + 4. What is the tens digit of p(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12))\/((-28)\/23940*19)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Let k be (2 + -3)*(1 - 4). Suppose -x*f = -9 + k. Solve -5*w = -f*q - 31, 30 = 4*w - q + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 7:41 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 9*k**2 + 7*k - 6. Determine p(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**3\/3 + 4*z**2 - 7*z + 1. Let t be (3\/2)\/((-3)\/(-12)). What is the units digit of q(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24420122 + -131?\nAnswer: 24414441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 + 1056*q**3 + 69454*q**2 = 0. What is q?\nAnswer: -451, -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6570?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 4*n + 2*l + 24, 2*l = -n - 3. Let w be 3 + -1 + 311 + n. What is the greatest common factor of 44 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 892632195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11233331 (base 6) in base 8?\nAnswer: -1245267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 25 = 5*s, -2*s + j + 20 = 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let y(t) = 2*t**2 - 41. Calculate q(y(l)).\nAnswer: -2*l**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**2 - 2*g + 2989 - 2989 - 2*g**3 to the form z*g**3 + r*g**2 + w*g + k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 0.05, -1, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d. Let r be 0*(5\/(-15))\/1. Let m(s) be the second derivative of -1\/12*s**4 + 0*s**3 - 2*s + r*s**2 + 0. Determine m(k(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, l: 4, x: 8, p: 4, f: 1, a: 2}. Give prob of picking 1 o, 1 l, and 2 a.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + 34*k = 105. Let z be 6 + ((-2)\/3 - k\/(-15)). Let y be z*6*(20\/(-24))\/(-5). Solve -12 = 3*u + 5*j, 4*j - 12 = -y*u + 6*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11220 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 26bc?\nAnswer: -26c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33302 (base 6) in base 7?\nAnswer: 16355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25926?\nAnswer: 2, 3, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2873\/390 - (1 + (-12)\/15).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 21*h + 5*h - 94*h.\nAnswer: -105*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4529*v - 18089. Give i(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 24 + -52 - -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + (4 - 1\/((-1)\/47))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1211, 4764, 8319, 11876?\nAnswer: 15435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -1)\/(6\/(-23)). Suppose 0*r = 16*r - 80. Suppose -r*b = 4*s - 45, 8*b = 13*b + 5*s - 45. Is b > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2 - (2 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-14) + 0 - 2\/(-7). Suppose -b*q = 3*y - 48, 4*y + 96 = 4*q + y. Let g = 44 - q. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 9 = -10*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 8*w + 5. Let m be 5 + -7 - (-9 - 1). Let y be n(m). Suppose y*s - 48 = -8. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*a = 71*a + 5*m - 41, -2*a + 3*m = 19. Let p(v) = 0 - 2 + 11*v**3 - 1. Let w(f) = -12*f**3 + 4. Give a*p(c) + 3*w(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 31.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3675413051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) - 13260\/(-42). Let d = q + -146. List the prime factors of d.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o - 32. Let y be m(2). Let i = 482 + y. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24263 - -2908\nAnswer: 27171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*v**5 - v**4 + 5942*v**3 + 1492145*v**2 wrt v?\nAnswer: -960*v**2 - 24*v + 35652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111010000 (base 2) to base 13.\nAnswer: -bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*b - 205*k + 640 = -46*b - 51*b, -b - 3*k = -14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5632*w - 16794*w + 5634*w + 5528*w - 7*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185 and 2553?\nAnswer: 12765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3048520255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-21 - -8)) + -26 + 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 + -12 + 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4 (b) -1\/4 (c) -5 (d) 0 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*z**3 - 2*c**3 + 319*c**2*n - 33*c*n*z**3 + 2*c*n*z + 6*z**3 wrt z.\nAnswer: -12*c**3*z - 198*c*n*z + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -455 - -455.2. Which is the closest to -1? (a) 0.3 (b) r (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*r - 487, 2*w - 7*r = -8*r + 995. Calculate the remainder when w is divided by 211.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 4*r**2 - 163226*r - 979431. Determine l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-21)\/(-66))*(60\/(-24))\/5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = -22*s - 8, -6 = -4*h + 5*s. Suppose 668 = h*n - y, -5*y + 167 = n - 2*y. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -2945792?\nAnswer: 2945797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3, 9 in descending order.\nAnswer: 9, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 5*n + 3. Let d(o) = o**3 - 6*o**2 - 10*o + 14. Let g be d(7). Let v(s) = s**2 + 2*s - 1. Determine g*v(t) - 3*p(t).\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59.9796 - -60. Round d to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -428, -418, -400, -374, -340?\n\"Answer: 4*t**2 - 2*t - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven eighths of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7767.2569 * -5\nAnswer: 38836.2845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10518.7 + -1639?\nAnswer: -12157.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 828 + -885.9. Let x = -58 - p. Let z = 0.1 + -0.04. Which is smaller: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32.1, 5, -0.3 in descending order.\nAnswer: 32.1, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + n - 27, -13 + 2 = -s + 4*n. What is the smallest common multiple of 91 and s?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6*14 + 52\/(-78). Suppose d = i - 0*i. Solve i = -5*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 + -0.3. Let w = -1.76 + -0.04. Let n = w + f. What is the closest to -1 in n, 1\/2, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117\/2 - -59. Let z = 5\/24 + 1\/72. What is the third smallest value in z, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -237.3 - 610.2. Round d to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 17 + 2*w**2 - 18.\nAnswer: 2*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4\/2 + 1161*s**3\/2 - 68238*s**2 + 2297670*s = 0. What is s?\nAnswer: 0, 58, 139, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236028 and 312?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - -334. Let h(j) = j - 5. Let o be h(9). Suppose 5*n = 4*n, 5*s = -o*n + g. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35586.44 to the nearest 10.\nAnswer: 35590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let u(p) = 5*p**2 - 3*p + 2. Let m be u(w). Factor 31*i**2 + 1 + 21*i**4 - 3*i**2 - 5*i**m - 9*i - 36*i**3.\nAnswer: (i - 1)*(2*i - 1)**2*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-112)\/(-144) + 2\/9. Let w be (-1 - (-3 + 4))\/(-1). Put m, w, 6 in decreasing order.\nAnswer: 6, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-21800002)\/(-1 - 1). What is v rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 43 + 49 - 138 + 46.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 3*y - y)*(-y**2 - 5*y + 5*y)*(0*y**2 + 5*y**2 - 2*y**2).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6067576 is divided by 75.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 14795386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1312 - 1310. Solve p*m + 2*r + 3 = r, -r = -3*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 152245.899 microseconds to days.\nAnswer: 0.0000017621053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -46, -129, -266, -469, -750, -1121, -1594?\nAnswer: -2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293475 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15 + 7 - (1 + -9). Suppose x = -3*t - c + 32285, 4*c - 6887 = 3*t - 39177. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 22*y - 62. Let x(h) = 1. Let n(p) = -k(p) - x(p). Is 2 a factor of n(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17c + -12d445?\nAnswer: -12d5c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 25*m + 186. What is w(-11)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 670982283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 953 + -1717. Let w = -600 - v. List the prime factors of w.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179134 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6666 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172614 divided by -13.\nAnswer: 13278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-8)\/60*160\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 262, 547, 832, 1117, 1402?\n\"Answer: 285*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2 + 5. Let b(i) = -3*i**2 + 3. Let z(o) = -5*b(o) + 3*u(o). Let s(w) = -6*w + 3*w - w. Give z(s(x)).\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 + (-19)\/12. Let t = l - -7\/4. Let g = -0.15 - -2.15. Sort g, t, 0.3 in decreasing order.\nAnswer: g, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24a3 + 1d75?\nAnswer: -62d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**3\/3 + o**2\/2 + 4*o - 790. What is k(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/14 and 87\/3457058.\nAnswer: 24199406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7218 divided by -18.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**19)\/v)**(6\/17) assuming v is positive.\nAnswer: v**(120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -92*m + 275. What is the tens digit of q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.537 - 7.\nAnswer: -12.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 45, 0.048, -0.6, -4, 0.3, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/132)\/((-2)\/60).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/9 (b) -1 (c) 5 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 2, n: 1, x: 1}. What is prob of sequence znzd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + sqrt(243) + sqrt(243))*4.\nAnswer: 11 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -14*o**2 + 6*o + 2. Calculate r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 12 (b) 0.5 (c) -0.01 (d) 1\/5 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6314175 decades to months.\nAnswer: 75.7701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -11535947\nAnswer: 23071894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.63, 0.1646 in increasing order.\nAnswer: -7, -0.63, 0.1646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.3, -0.17, 5, 272 in ascending order.\nAnswer: -9, -0.17, 0.3, 5, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let o(m) = 24027211*m**2. Give g(o(j)).\nAnswer: 577306868438521*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73986)\/(-59))\/(-38) - -48.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-44)\/(2992\/(-1071))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1737, -1736, -1735, -1734?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/3 - 110*z**3\/3 - 522*z**2 - 486*z = 0.\nAnswer: -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i + 0*i - 7*i - 10*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2080 by -52.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1268 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33579 and 65?\nAnswer: 167895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.43606931 rounded to 1 decimal place?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 338\/(-40) - (-24)\/6 and (201\/(-108))\/((-1)\/2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/(-539) - (-1890)\/4950\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(121)*4*-1)\/((sqrt(11) + -4*sqrt(275))*-3).\nAnswer: -16*sqrt(11)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 142. Calculate the greatest common factor of q and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*j**2*t**3 + 3*j**2 - 3*t**3 - 2*t**2 + 5 wrt t?\nAnswer: -156*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.6, 23\/3, -9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -2d2?\nAnswer: 2d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*k + 37, -5*l - 4*k + 225 = k. Let y = -47 + l. Suppose -5*u = -r + 3*r - 27, r + 4*u - 15 = y. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.547 + 1.547. Which is smaller: 0.0223 or j?\nAnswer: 0.0223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 7*y - 3. Let l be ((-24)\/10)\/((-2)\/5). Let f be n(l). List the prime factors of 7\/(3\/f) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.4. Let w be (-6)\/(-7)*6\/9. Let u(z) = -z**2 - z + 4. Let j be u(0). Which is the closest to j? (a) 1 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -393 + 392.8. What is the nearest to i in -5, 37, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 13*v**2 + 24*v - 18. Determine q(14).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o + 60. Calculate r(22).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 - 7*l + 39. Determine z(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)*v*v)\/v**0)\/(v**8\/((v\/(v**(2\/9)\/v))\/v)) assuming v is positive.\nAnswer: v**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*g**5 - 44235*g**4 - g**3 - g**2 - 1246571*g wrt g?\nAnswer: 600*g**2 - 1061640*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50565 and -2?\nAnswer: -101130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 22*p - 4. Let a be q(-2). Let t = -46 - a. What is the second derivative of 230*m**2 + 14*m - 230*m**t + 17*m**4 wrt m?\nAnswer: 204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*54*((-328)\/(-7626)*496 - (1 + 20))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3122990*n**3 - 14559637*n?\nAnswer: 18737940*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) 21080\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -140*r - 84. What is the hundreds digit of z(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -11872510*w + 11872507*w - 4*g, 5*g - 13 = 2*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.021 + -34.021. Let q = -30 - t. Which is the nearest to 1? (a) 1.2 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1216) - sqrt(1216)) + 3)**2*3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48077 and 655.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (25\/11)\/((-46816)\/132) and 27\/4?\nAnswer: 11704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-22))\/(105\/1540) + 13 + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -22. Suppose 0 = -5*i - 4 - d. Is i bigger than -0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -4696 (c) -649\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-8) - (2 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -407 and -0.3.\nAnswer: -407.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {v: 1, c: 3, w: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006157 to four decimal places.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 643632 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + (-408)\/(-42). Suppose -i = -5*v + 2, -v + 5*i = -6*v - w. Suppose 4\/9*j + 2\/9*j**2 + v = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**3 + z**2 + z + 1. Suppose -1 = r, -2*r + 4 = -5*t - r. Let m be b(t). Solve -o = 4*o - m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757298?\nAnswer: 2, 23, 101, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oomm when four letters picked without replacement from mmmmmmmommmmommmomom?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 1:20 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 39. Suppose -79 - x = -10*n. Factor 31 - 4*h - 24*h + n + 4*h**2.\nAnswer: 4*(h - 5)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-4)\/3)*3. Let x be (r - (-3)\/3)\/1. Suppose 0 = 3*v - x*v - 84. Solve h + 4 = -3*h + 3*l, 3*l = -4*h - v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 + (-5 - (-2046)\/210) + -5. Which is the biggest value? (a) x (b) 2 (c) -0.1 (d) -0.29 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -2903.\nAnswer: -8\/2903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 + 5*k**2 - 5. Suppose 0*y + 3*y - 25 = 2*t, -4*t + 31 = 3*y. Let x = y + -14. Let l(z) = z**3 - 2*z**2 + 2. Calculate x*l(m) - 2*r(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 559 = -2*a + 5*b, -4*b - 595 = -3*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-9))\/((-2)\/(-6)). Let i(j) = -j - 16 + 29 - 13. Determine i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2900598 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*j + 5 = -4*s, -s - 10 = 3*j. Suppose s*t - 58 - 2 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102.21 + -8.49. Let n = 111 + f. What is the nearest to 3 in -1, 4\/7, n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1399170 + 660404037\/472. Let k = 13\/59 - h. What is the common denominator of -1 + -1 - (-178)\/20 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 6)*(-2 - m + 2) - 8*m + m - 8*m.\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - i + 5*i. Let d(v) = 6*v. Let w(q) = -q**2 + 5*q - 2. Let l be w(3). Determine l*d(p) - 5*m(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, z: 2, v: 3, l: 2, c: 3}. Give prob of picking 1 v, 2 l, and 1 c.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 15*v + 6. Let n be o(-7). Let t be 10\/55 + -7*(-12)\/n. Let j = 0.1 + -0.2. What is the smallest value in 4, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 3:53 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*k**5 + 5657*k**4 + 526*k**3 + 180956297*k**2.\nAnswer: 720*k**2 + 135768*k + 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043875 to three dps.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/4 - 7*f**3\/3 - f**2\/2 - 2*f + 705. Give h(8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m**2)*(3 + 2*m - 3) - 3*m**3 - 21*m**3 - 22*m**3.\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from jjljjjjjjljj.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293772, -587558, -881344, -1175130, -1468916, -1762702?\nAnswer: -2056488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27267, -109022, -245287, -436068, -681371, -981202, -1335567, -1744472?\n\"Answer: -f**3 - 27249*f**2 - f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340681, -2725366, -9198079, -21802834, -42583645, -73584526?\nAnswer: -116849491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 4*l + 0*l)*(0*l + 0*l + 2*l) - 15*l**2 - 2 - 1 + 17*l**2 to the form w*l + f*l**2 + c and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4856 + -4476. What is the greatest common divisor of 700 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112670 rounded to the nearest ten thousand?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + 1*sqrt(637)*-1 + sqrt(637) + (sqrt(637) + 5*sqrt(637))*-1) + 0)**2.\nAnswer: -336*sqrt(13) + 22948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 3665*t - 25512. Give v(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.046 - 10.546. What is the smallest value in t, 769, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6059042049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.104 from 1830466103682.\nAnswer: 1830466103681.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141*l**5 - 25*l**2 + 2*l wrt l?\nAnswer: -8460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 586058 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, 89, 3\/5, 5, -37\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25802, 25801, 25800, 25799, 25798, 25797?\n\"Answer: -j + 25803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + b + 4. Determine k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2315990, 2315991, 2315992, 2315993, 2315994, 2315995?\n\"Answer: b + 2315989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 10*s + 11. Let x be q(-11). Determine l so that 0 + 8\/5*l**3 + 2\/5*l**2 + 6\/5*l**4 + x*l = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 116, 1337, 4646, 11087, 21704, 37541, 59642, 89051?\n\"Answer: 174*d**3 + 3*d - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1688 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 158387 is divided by 14309?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(-2 + sqrt(1088) + -1 + -4)*-1.\nAnswer: -14 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 19*z - 4 - 2*z + 2*z**3)*(6 - 2 - 2).\nAnswer: 4*z**3 + 34*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -163*g - 173 wrt g?\nAnswer: -163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 747 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -999419 divided by 1.\nAnswer: -999419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c - 3. Let u(n) = 5*n - 3. Let i(r) = 6*f(r) - 7*u(r). Let v be i(3). Differentiate 5 - v*t**3 + 8*t**3 + 1 with respect to t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -1219*c**4\/2 - 1366*c**3\/3 + 255. What is the third derivative of r(t) wrt t?\nAnswer: -14628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -552024 by -82.\nAnswer: 6732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 bigger than 0.0134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((11\/(-110))\/(33\/(-2970)) - -14*5).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -38236.3 - 0.041786\nAnswer: -38236.341786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22679323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-24)*-4*1\/(-57)*3.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvc when three letters picked without replacement from ecvvocvooccccoocvo.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*q + 4*q - 33659972 = 0, -4*d = -2*q + 26927980. Let a be (-6)\/27 + d\/18. What is a rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 182859888*i*l - 522465680*i + 3*l wrt l.\nAnswer: 182859888*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. Let b = s + 5. Suppose -b*z = 2*z. What is the nearest to z in -0.2, 2\/7, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*((-4*(1 + sqrt(4212)))**2 + 3).\nAnswer: 13824*sqrt(13) + 1617864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5114 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1889109514 to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -270*n + 45. Let d(o) be the second derivative of 137*o**3\/6 - 11*o**2 - 60*o - 1. Let m(q) = 4*b(q) + 7*d(q). Differentiate m(s) with respect to s.\nAnswer: -121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*h - 27 = -4*g, 2*h = 4*g - 26. Let t be (12\/9)\/(8\/12) + g. Let a(l) be the third derivative of -l**4\/24 + 13*l**3\/6 + 3*l**2. Calculate a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 118.6, -5 in decreasing order.\nAnswer: 118.6, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-20))\/(-3))\/((-2)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 303 = -5*l + 334, 0 = 4*p - 2*l - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4015004.\nAnswer: 2, 7, 19, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 96 - 9. Let g be -1 + f\/18 + (-23181)\/(-90). Let l = g + -2563\/10. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**4\/24 + 2*l**3 + 7*l**2. Calculate k(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 3\/2, 12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**4\/6 - 8*n**3\/3 - 104*n + 23. Let p(k) be the first derivative of i(k). Let h(x) = 2*x. Give h(p(o)).\nAnswer: -4*o**2 - 32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14656000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 129500.6714 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.2 + 11. Sort k, 1, 0 in decreasing order.\nAnswer: 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*c + 4 = 0, 2*c + 18 = -1930*f + 1932*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 10. What is the derivative of -2*x - 9 + z - 2*x - 5*x wrt x?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-95)\/10)\/((-1)\/2). Let m(n) = 2*n - 35. Let q be m(c). Solve q*j - 4*j + 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f**3 + f**2 + 4*f**3 + 0*f**3 - f**3 in the form q*f**3 + j + z*f**2 + h*f and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1*6)\/((-9)\/(-17784)*8)?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(10*10\/(-125)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*1*1 - (3 + -1*sqrt(468)).\nAnswer: -3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -14. Let n be (-10)\/(-6)*(t + -7). Suppose 2*y - n*y = -387. What are the prime factors of y?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 62*d**2 - 375*d - 5383. Let t be h(-15). Calculate the greatest common divisor of 48 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/3 - -580) + 4. Suppose -4*c = 4, -4*c - o = -4*x + 181. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.50965 hours?\nAnswer: 16234740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1575938 divided by -182\nAnswer: -8659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 14 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/4 - 7*k**2 + 2*k. Let u(x) = 11*x. Determine u(g(i)).\nAnswer: -66*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v - 1)*(-3*v**3 - 2*v**3 + 3*v**3).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-1 + -8)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33.61 or 13.6?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3.2, -5, 2, 87, -0.4 in increasing order.\nAnswer: -5, -3.2, -0.4, 0, 2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 6*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/w**(-2\/3)*w)*w)**(-3))**(-2\/89)\/(w**0\/((w**(1\/5)*w)\/w))**(-12\/11) assuming w is positive.\nAnswer: w**(-958\/4895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 37 (b) 0.2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrryrryyryrryrrrr. Give prob of picking 1 r and 2 y.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 270. Is 28 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 4*a - 3*s, 4*s - s = 2*a + 21 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*s = 459*s + 321*s + 564*s - 60420 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/4*94 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12879 - 12874. Solve 15 = -q - 4*q - m*c, -5 = c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -943*p - 781 + 1896*p - 951*p in the form r + b*p and give r.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 - 3 = -5*u, 2*u - 2 = 2*l. Solve 3*c + c = 8, k + c = l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/11653660 and -3\/2225.\nAnswer: 58268300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 + 3*q**3 - 3*q**2 - 6*q. What is the remainder when y(13) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -103204121103?\nAnswer: 103204121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 118129091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3732 + 3887. What is the highest common factor of f and 3565?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = -c + 11*b + 238, 3*c - 3*b = 690. What is the remainder when c is divided by 64?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(304)*4 - sqrt(304)).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m**(2\/21)*m)\/m*m)\/m*m*m\/(m**(4\/17)*m*m)*m)\/((m**(-30)*m)\/(m**(-2\/15)*m)) assuming m is positive.\nAnswer: m**(58417\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*b + 789*b = 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 - 323 = 0. Suppose -t = g - 85. Let q = g - -372. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 - 14 = 0. Let u = l - -29. What is the remainder when u is divided by 4\/26 - 230\/(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -52. What is the remainder when l is divided by 1*2 - (-18)\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.7784003 to two dps.\nAnswer: -77.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 - 5*x**2 + 16*x**2 - 9*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5288504 or -5288506?\nAnswer: -5288504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2755, -21963, -74071, -175525, -342771, -592255, -940423, -1403721?\n\"Answer: -2741*t**3 - 4*t**2 - 9*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-5))\/(57\/1520). Let o = s - -112. Suppose y - o = 28. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319302663 to the power of 1\/2, to the nearest integer?\nAnswer: 36322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 18 = 4*h - 2*v, 4*h + 3*v = 22. Let w(a) = -h*a + 4*a + 4*a. Let n(m) = 3*m**2. Determine w(n(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 507639317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dssa when four letters picked without replacement from {d: 11, s: 3, a: 2, i: 3}?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2. Let s(g) = -5*g**2 + 193*g - 9. What is s(q(p))?\nAnswer: -20*p**4 - 386*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.95 + -0.05. Let f = -8.4 - v. What is the third smallest value in 0.3, -5, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmqujjvmjvvm. Give prob of picking 1 j, 1 v, and 1 q.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -422*f + 3315 + 4928 + 1041 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/21, -82, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - -1*sqrt(90)) + sqrt(10)*-1*4)\/((sqrt(2) - (sqrt(2) + (sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2)))*-3)) + -2*sqrt(32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n)\/n)\/(n\/(n\/n**(2\/19)))*(n**(-2\/9)*n)**(-2\/5)*n**(1\/9)\/n**4*n**(-1)*n*n**(-2\/17) assuming n is positive.\nAnswer: n**(-11988\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23076 and -2.6?\nAnswer: 0.599976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 122.86. Let a = 1.14 + m. What is the fourth smallest value in -3, 6\/5, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - a1?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370184 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = 3. Let c = 0.3 - 0.1. Let p = c + -0.3. What is the nearest to 0.1 in p, 0.4, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxmm when four letters picked without replacement from {m: 2, x: 2, c: 4, g: 1}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 - 21*t + 21*t)*(4 - 4 - t) in the form f + r*t + s*t**3 + i*t**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 12*t**2 - 10*t + 8. Calculate c(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*(0 + 2). Is 470\/1*q\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 15. Solve -5*k - q = -4*h, 1 = -h - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 g, and 1 h when four letters picked without replacement from hxxhipphgggk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9588*i**4 - 34*i**3 - 2*i - 2267195?\nAnswer: -115056*i**2 - 204*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20696 - -1210041. Suppose 4*h = i - 346737. Round h to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**4\/7 - 597470*m**3\/7 - 14873866278*m**2\/7 - 4957490730*m\/7 + 9915778084\/7 = 0 for m.\nAnswer: -49789, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from fweewwwoeffewfwwwww.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8125468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from rqqqqrqqqrrqrq?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 14 = -a. Let i(n) = 18 - 7*n**2 + 6 - 18 + n**3 + 3*n. Is 11 a factor of i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + u**2 + u + 1. Let k(v) = -3*v**2 - 4*v - 3. Let s(b) = -j(b) + k(b). Let x be s(-3). Solve -x*p + 20 = -6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 - 10 = -4*f, 13 = 3*f - 5*n. Suppose 9*g = 4345 - 907. Suppose -158 = 28*s - g. Calculate the remainder when s is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 4*v. Let o be d(4). Suppose 5*s + 0*s - 15 = o. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/467 in -0.18, -365, -0.2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21*2)\/((-26)\/(-7)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313858.\nAnswer: 2, 23, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3098?\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 4*k + 3. Suppose o + 2*c = 0, -3*c = 2*o + 2*o - 10. Let h be x(o). Suppose 1 = 2*b - h. Solve -b*w + 2 = -0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00779 to 4 decimal places.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**4*t*t*t**4)**(-32) assuming t is positive.\nAnswer: t**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5344 + -4.\nAnswer: 5340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*n - 5*n - 4, -7 = -2*c + 5*n. Let y be 2*c - 84\/35. What is the nearest to y in -3\/2, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -6\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 4)*(2*j - 1 - 14*j - 26*j)*(0*j + j - 3*j)*(-12 + 2 - 1).\nAnswer: -5852*j**2 - 154*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = 4*h - 7, 4*h - 4*a - 8 = 0. Solve 0 = 7*s - 2*s - u + 5, 0 = -h*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a4ea + -5?\nAnswer: -a500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**5 + 4*o**4 + 94*o**3 + 2*o**2 - 7*o - 42 wrt o.\nAnswer: -180*o**2 + 96*o + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821978.5l to millilitres.\nAnswer: 821978500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 2879673.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {v: 4, k: 1, b: 2, a: 1, o: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o + 2*o. Suppose -4*p + 1 = 2*j - 3, 2 = -2*p. Suppose -j*n + 3*a = -7*n - 3, 3*a + 5 = -4*n. Which is greater: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1011000000100?\nAnswer: -1011000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1628 and 6512.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -112, -226, -340, -454, -568?\n\"Answer: -114*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8*(-1)\/50)\/((-2)\/(-5)). Suppose -6\/5 + 14\/5*k - 2*k**2 + g*k**3 = 0. Calculate k.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52591, 210232, 472977, 840832, 1313803?\nAnswer: 1891896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2936.6 - 2150. Round t to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -83280, -83281, -83282?\n\"Answer: -a - 83279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = -l. Solve -l = -a - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - y + 2. Let f be u(1). Is 3 + (-4 - 14\/f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -48, -0.1, 48, 12, 3\/23, -3?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*i**2 - 10*i**2 - 2*i - 4*i**2 + 2*i**3 as j + x*i**2 + d*i**3 + n*i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 >= 1345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3591113 to the nearest one thousand.\nAnswer: 3591000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5462519 smaller than -5462518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6374 is divided by 356.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 - -186. Suppose q + 5*z = 3*z + t, 2*z = -4*q + 16. Solve 2 = q*f - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2 - 2 - (0 + 3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 219, 4, -3 in descending order.\nAnswer: 219, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*n**3 + 0 + 0 + 34*n**3 - 9*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6404 = -149*f - 61*f - 1102 - 1314 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Let b = 8 + -9. Let c = -8 - -5. Put b, l, c in descending order.\nAnswer: l, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose 0 = 5*y - 13*n + 17*n - 26, 0 = -y - 3*n + 3. Find the third derivative of -m**2 + a*m**2 + m**6 - 4*m**2 - 2*m**y wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/36*3)\/(24\/(-36))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2186.\nAnswer: 5\/2186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -218 (b) -2\/9 (c) 2\/11 (d) -5 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7090 less than -775?\nAnswer: -7865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 48 = -w. Suppose -2*q + 6 = 0, -32 = 4*b + b - w*q. Let c be (-336)\/(-80) + b\/(-5). Is 15\/4 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3, -0.084, 2, 112?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from ollslossllllosllllll.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/306 and 24\/(-30) + 19513*2\/46920.\nAnswer: 14076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/906 and -9\/1208.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-96)\/30)\/8)\/((-1)\/225).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 times -6.14?\nAnswer: 478.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -8, 3 in descending order.\nAnswer: 3, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 7*p - 8 + 16*p + 0*p + 0*p + 3*p - p + p - p + (-3*p + p + 4*p)*(-2 + 5 - 5).\nAnswer: 7*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4466 and 1078.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-78)\/(-247)*19 - (-550426)\/(-91738)).\nAnswer: 45869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 154*f**2 + 118*f - 3249. Let k be h(-153). Solve -2124*p - 144 = -k*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -1863*d + 1865*d + 3*o, -18*d + 14 = -5*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001227 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -875332*t**3 - 14*t**2 + 2*t - 7.\nAnswer: -5251992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -27. Suppose 32 = 2*x - s. Solve h - 6*h = -x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*x - 30, -3*x + 0*m + 5*m = -2. Suppose 307 + 96 = 5*k - l, l = -x*k + 317. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/9 (b) 6 (c) 0.2 (d) -36.12 (e) -1\/2 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-18 + (-567)\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)\/((s\/s**5)\/s)*(s\/s**(-1\/5))\/s**(2\/9) assuming s is positive.\nAnswer: s**(251\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 5. Find the common denominator of -61\/16 and m\/30*(-175)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -19*k + 5. Let w(f) = 10*f - 2. Determine 2*d(g) + 5*w(g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -q - 3*p + 2*p, 4*p + 44 = 2*q. 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: Let p(w) = -w**2 + 2582*w - 15457. Let h be p(6). Let x(b) be the first derivative of 11*b**2\/2 - 2*b + 1. What is x(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2999 or 0?\nAnswer: 2\/2999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76372.1mg in kilograms?\nAnswer: 0.0763721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 593, 1067, 1541, 2015, 2489, 2963?\nAnswer: 3437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**4\/2 + m**3\/2 - m**2. Let x be h(3). Let g = 58 + -32. Calculate the highest common divisor of g and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15148\/21 + 3 + 4\/6. Suppose -252*h = -257*h + y. What are the prime factors of h?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -4*c + 5*h, -19*c + 4*h = -22*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 - 44*p**2 + 4*p - 16. Let s be a(11). Suppose -18*i = -s - 26. Solve -i*h - 4*k = 32, -h + 3*k - 1 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 54*i**2. Let v(t) be the third derivative of t**4\/6 + 199*t**2. Calculate v(b(k)).\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/498032 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94511895 divided by -5?\nAnswer: -18902379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 9*a - 245. Let z be q(-21). Let g(o) be the second derivative of o**4\/12 - 3*o**3\/2 + 6*o**2 - 38*o. Give g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 72*h**2 - 785*h. Let r(l) = -2*l**3. Let g(a) = -6*r(a) + w(a). What is the second derivative of g(y) wrt y?\nAnswer: 54*y + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31379648983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*v - 31*v - 77*v.\nAnswer: -62*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7467, -7446, -7411, -7362, -7299?\n\"Answer: 7*i**2 - 7474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 198096337.5 rounded to the nearest one million?\nAnswer: 198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 1\/8, 4, 0.5, -19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**2 - 4*b + 3*b**2 + 4*b to j + k*b + y*b**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 59.69. Let y = -0.21 + k. Let s be (-2 + 2 - 1)\/7. What is the closest to y in -3, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21\/131? (a) 11 (b) -1\/3 (c) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.49 + -0.01. Let u = 0.03 - 2.03. Let f(t) = -t**2 - 17*t - 12. Let j be f(-16). Which is the second smallest value? (a) g (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17, 4, -5, 5, -43, 8 in decreasing order.\nAnswer: 17, 8, 5, 4, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(3 - 2 - 2). Let b(g) be the third derivative of 19*g**5\/15 + g**4\/24 + g**2. Let v be b(1). What is the highest common factor of m and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-390*c**4 + c**3 + 390*c**4 + 3*c**5)*(-4 + 4 - 3)*(3 - 3 - 2 - 6 + 3 + 1 + (3 + 1 - 6)*(0 + 1 + 1)).\nAnswer: 72*c**5 + 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -1687, -5622, -13283, -25912?\nAnswer: -44751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**7\/1995 + 13*a**6\/1140 - 7*a**5\/285 - 2*a**2 + 37*a. Factor i(z).\nAnswer: 2*z**2*(z - 1)*(z + 14)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - ((15 - 38 - -31) + -2).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -67\/20*v**5 + 0*v + 2 - 19*v**2 + 0*v**4 + 0*v**3. Let r(d) = d. What is r(f(z))?\nAnswer: -201*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -33*d + 31. Is s(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54864 from 5.5.\nAnswer: -54858.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 62, -3 in decreasing order.\nAnswer: 62, 7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hwwuwhuuhwhww.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -8135?\nAnswer: -40675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*d - 4390, 2*u + 0*d = -2*d + 1752. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0457 or 12?\nAnswer: -0.0457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -53181.96197 - 17\nAnswer: -53198.96197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67*c**2 - 77488*c + 41616.\nAnswer: (c - 1156)*(67*c - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccp when three letters picked without replacement from peppcecppeecp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:11 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhihiihihihhhhhib. Give prob of sequence hhi.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.04 + 1.36. Let f = a + -9. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 7*y - 2*y**3 - 7*y to b*y**2 + p*y + u*y**3 + a and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1206)\/45*(-5)\/2 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-3) - 362\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 124*g + 202*g + 8150 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(3\/17)\/a*a*a**(2\/3)*(a\/(a*a**(-6)))**(-49) assuming a is positive.\nAnswer: a**(-14900\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**3*q + 27*m**3 + 130*m**2*q - 8*m**2 + 868*m*q + 575*m wrt m.\nAnswer: -18*m*q + 162*m + 260*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*2 + 6\/3. Let q(x) = -2*x + 5*x - b*x. Is q(-4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -75.2. Suppose -4*z + 4*r - 9 = 7, 0 = -z + 2*r - 3. What is the closest to u in 4, z, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-1)*4\/(2700\/5925).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1160 by 57033.\nAnswer: -1160\/57033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -36 (b) 0.1 (c) 412246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 2\/3*v**3 - 5\/12*v**4 - 1\/2*v**2 + 1\/20*v**5 + 0 + 15*v. Determine f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*i**2 - 703*i**2 + 158*i**2 - 11*i + 140*i**2 + 1 + 193*i**2.\nAnswer: -56*i**2 - 11*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121890 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 6 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 17604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -7*v**2\/2 + 2*v + 20. Let x(y) be the third derivative of -y**4\/12 + 1098*y**2. Calculate s(x(j)).\nAnswer: 14*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 10 = -5*l, -3 - 7 = -5*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmmjaajjmmmmmmmj. Give prob of picking 2 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by ((-48)\/30)\/((-2)\/25).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-110)*1\/(8\/5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3184127, -6368271, -9552415, -12736559, -15920703, -19104847?\n\"Answer: -3184144*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 106, 98, 76, 34, -34, -134, -272?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o = -601316 - 742706. What are the prime factors of o?\nAnswer: 113, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**15*j)\/(j**(-11)*j))\/((j**(-7)\/j*j)\/(j*j**(1\/2)*j)) assuming j is positive.\nAnswer: j**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239739 by -5.\nAnswer: 239739\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b - 14250 = 19*b. Let q = b + -1282. Does 47 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -37900*x**2\/13 - 151598*x\/13 + 8\/13 = 0.\nAnswer: -4, 1\/18950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 272 - 51 - 44 - 135 - 13*l.\nAnswer: -13*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + 4*sqrt(2))*4.\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 36*f**3 - 245*f**2 + 6. Let t(m) = -109*m**3 + 731*m**2 - 19. Let o(x) = -6*t(x) - 19*z(x). Find the third derivative of o(l) wrt l.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 80 = 4*k, 52*k - 53*b = -28*b - 24*b - 50 - 126 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 3 - (-21 - 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -e?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 18*t - 25*t. Suppose -36 = -8*w - t. Solve -3*j - 11 = -3*q + j, 0 = w*q - 3*j - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*c - 6*c. Let h(k) = k**2 - 4*k + 4. Let y(m) = 2*m**2 - 9*m + 7. Let p(z) = 7*h(z) - 4*y(z). Let j be p(c). Solve j*w - 3*w = -12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 715 + -473. Suppose 4*t = -2*v + 548, -5*t + k = -5*v - 413. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 4465?\nAnswer: 4457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2939908.\nAnswer: 2, 19, 101, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4520144 (base 6) in base 5?\nAnswer: 24300120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1211 is divided by 97.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2 = y, 6*y + 14 = -4*k + 4*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 14. Let h be t(-8). Let n(d) = -d**2 + 8*d - 7. Let a be n(h). Let q be ((-4)\/(-10))\/(12\/600). Solve q = -a*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -38. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 1 f when three letters picked without replacement from ffssffy?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66.994947167 - -13.879718263. Let y = m - -0.115317904. Let v = y - -53. What is v rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2356305 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from pqqqpqqppxxqx.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -7*f + 9*f. Suppose -n - f - 12 = -3*g, -5*n - 4*g - 345 = 0. Let s = 73 + n. Solve 0 = -5*c - 3*j - 7, 0 = -c + 3*j + 3 - s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 7 + 3. Let a(w) = -67*w**2 + 68*w**2 + t*w + 2*w + 4 - 1 - 37*w**3. What are the prime factors of a(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.971\nAnswer: -0.2913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.056, -318, 0?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -3. Let f(d) = -3*d**2 + 32*d - 18. Let k(y) = -2*y**2 + 21*y - 12. Let h(m) = n*k(m) + 5*f(m). Give h(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 35. Let w be h(17). Let d(s) = -2*s + 4. Let g be d(4). Let u = w - g. Solve 0*o - 2 = 3*t + u*o, t + o + 2 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 5*n - 4. Let o be k(6). Suppose -44 = -4*p - d, -o*d = -5*p - 6 + 48. What is the least common multiple of p and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13585?\nAnswer: 5, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 43101424?\nAnswer: -43101410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1. Let m(f) = 3*f**2 + 31*f - 21. Let p be m(-11). Let y(o) = 2*o - 9. Give p*y(l) - 5*v(l).\nAnswer: 2*l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*k**2 - 2559*j*k - 3*j + 45630*k**2 + k wrt k.\nAnswer: -2*j + 91260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-63) - (-6)\/(-35)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1348256 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -7*d - 15, -5*d - 5 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*a = -1060, -2*a = 3*r - 169 - 472. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395723.1133 rounded to the nearest 10?\nAnswer: 395720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -70b0?\nAnswer: -70a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 7*d**4\/10 + 16*d**3\/5 - 2*d**2 - 72*d\/5 = 0.\nAnswer: -4, -18\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (525\/(-100))\/(45\/10)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -2\/3 (c) -5 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8920, -17859, -26820, -35803, -44808, -53835?\n\"Answer: -11*k**2 - 8906*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -3706.\nAnswer: -3705.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821302 is divided by 67?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11001001011100011010100 (base 2) to base 9\nAnswer: 13370671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 27, -13, -131, -363, -745, -1313, -2103?\n\"Answer: -6*b**3 + 15*b**2 - b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 1534*x**3\/5 + 13802*x**2\/5 - 15376*x\/5 + 8 = 0.\nAnswer: -10, 2\/767, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323847.\nAnswer: 3, 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2) + (-140)\/(-80)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31890)\/(-4252))\/(57\/(-4))?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 10*r + 6. Let w be u(-9). Let a = w - -2. Put a, -5, 2 in ascending order.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 - 44 = 20*f. Suppose -4*g = -8*g - 20. Which is the nearest to 0? (a) g (b) -1\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-2646))\/(36\/189).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6263 + -6243. Let a(w) = w. Let n be a(4). What is the highest common divisor of u and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 618470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkni. What is prob of sequence kng?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 + 8*k**2 - 3*k - 3 - 5*k**2 - 5*k**2. Let s be u(5). Solve w = 3*t + 1, s = -5*t + 5*w - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*u + 131. Suppose 0 = 2*r + 2*r - u. What is the remainder when 22 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.3008 to one decimal place.\nAnswer: -49.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 122745609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4717240 to the nearest 10000.\nAnswer: 4720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -122 - 51?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 77 + -28 + -28?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 4*i**3\/9 - 4*i**2\/3 - 19. Factor x(m).\nAnswer: 4*m*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 443*z + 48675. What is q(-241)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7958206291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5564.2 + -5564. What is the third biggest value in -0.1, -21\/2, o, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 19 - 124*v - 7 + 6. Let g be t(7). Round g to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22799 (base 10) in base 13?\nAnswer: a4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60393*u - 65151 wrt u?\nAnswer: 60393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:11 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 5. Suppose 26 = 3*d + 4*c + 6, 3*c = -d + 5. Let h be f(d). Let w(m) = -m - 2. What is w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -64. Let h(m) = -m**4 - m**3 - m**2 - m. Let l(p) = 13*p**4 + 13*p**3 + p**2 + 17*p. Let c(z) = s*l(z) + 22*h(z). Factor c(b).\nAnswer: 4*b*(b - 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339372.2 millennia in decades?\nAnswer: 33937220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 7*w + 0)*(-47 - 33 - 50) to y*w + a and give a.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z + 8, -5*m - 4*z - 26 = 0. Let h be 0\/(m - (-2 + 2)). Suppose -2*w + h = -2. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:47 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 35*s - 10. Determine k so that -1\/4 - 1\/8*k + 1\/4*k**2 + 1\/8*k**s = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 15) in base 13?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 53. Suppose -5*b = -p*o + 82 - 306, -o = 5*b - 218. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/7 + 61256*w**2\/7 + 469037192*w\/7 = 0.\nAnswer: -15314, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-14)\/(-4)*(-30)\/630?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -1219?\nAnswer: -1219.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0 + 0)\/(-3 - -1))\/(14\/(-7)). Let i(j) be the second derivative of 5\/6*j**3 + v*j**2 - 11*j - 1\/4*j**5 + 0*j**4 + 0. Factor i(d).\nAnswer: -5*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b - 17. Let c(z) = -z - 1. What is -3*a(n) - c(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*x - 302 = 0, 2*s = -2*s - 4*x - 404. Let z be s\/(-8) - 2\/4. Let j be z\/(-112) - 6\/42. What is the nearest to j in 2, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -700\nAnswer: -13\/700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896044164 a multiple of 2999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.998794 - -17. What is h rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 + 2*j**3 - 15*j**2 + 858*j - 4576342.\nAnswer: -8*j**3 + 6*j**2 - 30*j + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 435, 894, 1365, 1848?\n\"Answer: 6*r**2 + 441*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 - 0.6. Suppose 5*m - 5*s - 30 = 0, 0 = 2*m - 3*m - 3*s + 6. Which is the nearest to -2? (a) m (b) u (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*q - 1 + 1 - 16*q to f*q + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -6, -3, 4 in decreasing order.\nAnswer: 32, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49929 + -713135905\/14283. Let p = f + 1385411\/285660. Let a = -2\/713 + -77681\/12834. Calculate the common denominator of a and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(5) - -2*sqrt(5) - sqrt(5)))\/((sqrt(2) - -1*sqrt(6)\/sqrt(3)) + sqrt(2)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-two fifths of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 10:03 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -400, -389, -378, -367?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -6705136?\nAnswer: 6705136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 5 - 22 + 290*s + 9 as z + m*s and give m.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 51 - 75. Let g be 1 - (-3)\/(f\/(-17100003)). Round g to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 6*f**2 + 24*f - 2. Determine k(-10).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-17)*f**(-2\/3) assuming f is positive.\nAnswer: f**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -38.\nAnswer: 17\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-4)*k)\/(k\/k**0*k))\/(k*k**(-5)*k*k**(-1\/4))*(k**(1\/3)\/k*((k*k**(-1\/4))\/k)\/k*k)\/((k\/(k**2*k))\/k**(-4)) assuming k is positive.\nAnswer: k**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 m when four letters picked without replacement from nmmnnmnn?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16181685 is divided by 497?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-29)*((-40)\/(-24) - (1 + 0))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + -4*(sqrt(98) + 2)))**2.\nAnswer: 3024*sqrt(2) + 14436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12498, 2294, -25406, -79350, -168286?\n\"Answer: -1458*m**3 + 2*m + 13954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {z: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11312, -11311, -11310, -11309, -11308, -11307?\nAnswer: -11306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9908882 is divided by 491.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*x = -21 + 1, 5*b + x = 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3811271 + 3811269.438867. Let t = r - -1.562. What is t rounded to 5 decimal places?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8279 (base 12) to base 14.\nAnswer: 5269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 - (22 + -19)) + (-1 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*l - 1982*l + 2 = 3024*l + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8132 + -1.8332. What is the biggest value in a, 0.4, 1, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853381997 to the power of 1\/3, to the nearest integer?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 566\/5 - 114. Let k = 5252.4 + -5252. Which is the closest to -0.1? (a) 5 (b) s (c) 2\/13 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t + 10. Let l be a(7). Let q = -98.82 - -98. Let n = -0.73 - q. Sort -4\/7, l, n in decreasing order.\nAnswer: n, -4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118781149 rounded to the nearest one million?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 100022 (base 3) to base 5\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -90*a**3 + a**2 - 2*a - 3. What is the tens digit of j(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110561578?\nAnswer: 2, 47, 1176187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*m + 129 + 319 + 47 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = 6943*f - 7045*f + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) -2 (c) -4 (d) -2\/11 (e) -2\/79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*l - l**4 - 94*l - 83*l + 79*l + 112 + l**3 to z*l**4 + c + t*l**2 + j*l**3 + n*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -4. Let l = s + 5. Which is smaller: 1\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 668.\nAnswer: 3\/668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - ((-18)\/(-27) + -1). Which is the nearest to -0.1? (a) -0.2 (b) n (c) 1\/6 (d) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760179278?\nAnswer: 2, 3, 11, 13, 61, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/154 and -99\/166.\nAnswer: 12782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336754*f - 178936*f**3 - 336754*f.\nAnswer: -178936*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + n + 3*n. Let k(c) = -21*c - 22*c - 16*c - 1 + 62*c. Let u(y) = 6*i(y) - k(y). What is u(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -639.86+-2848.3348\nAnswer: -3488.1948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69766.\nAnswer: 2, 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 10. Let c be (-10)\/15 + ((-48870258)\/x - 1). Suppose -z + 5269973 + c = 0. Round z to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2476869 divided by 79899?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98 + 290 - 148 - 7*y)*(-4 + 1 + 2).\nAnswer: 7*y - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2113 - -31?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/((-4)\/(-10)). Let d = -205 + 215. Suppose 4*z = 6*z + d. Put z, 39, v in descending order.\nAnswer: 39, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, v: 3, c: 4, b: 3}. What is prob of sequence bcvc?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:00 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 + 179221*k**2 - 10391395*k - 10570617 = 0. Calculate k.\nAnswer: -1, 59, 179163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 4*z + 76 = 23*q, 684 = 36*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3 - 30. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*u**2 + 0*u**2 + 0*u**2 + 2*u**2 + (-2 - 2 + 3)*(2*u + u**2 - 2*u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 80 = -4*k, 2*k = 2*a - 3*a + 40. Suppose -2*t - 5*j - 28 + 5 = 0, -3*j - k = -5*t. Let c(l) = 1 - l - l**2 - l**2 + 2*l**2 + 2*l**2. Give c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i**3 + 540*i**2 - 2580*i - 1120 = 0. Calculate i.\nAnswer: -2\/5, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5517835 divided by 865.\nAnswer: -6379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -b + 21, 5*z + 2025 = 2045. Solve -25*i + b*i + 32 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 19*o**2 - 2. Calculate q(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236\/469 - -10349\/83013. Calculate the common denominator of -13\/306 and z.\nAnswer: 18054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*k + 22, -3*m = m + 4. Let h be 1\/k - 48\/10. Let r(z) = 2*z + 20. Let u be r(-10). Sort 3, h, u in descending order.\nAnswer: 3, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*r + 2*b, 4*r - 4*b - 100 = b. Let l = r - 45. Let w(m) = -19*m + 10. Is w(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-34))\/((5\/(-30))\/(7826\/1365)).\nAnswer: -86\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1. Let l(y) = y + 1. Let c(p) = -l(p) - 6*o(p). Let h be c(10). What is the closest to -0.1 in -5\/2, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 0 + 0)*(48 + 225 + 34)*(-8*r - 138 + 138) as s + b*r**2 + d*r and give b.\nAnswer: 7368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 14970301.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 977 and 9836.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 54119 times -4\nAnswer: -216476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 1612 + 2*w + 1612 to the form k + m*w and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 49274498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 + 128*a - 2960 = 0 for a.\nAnswer: -148, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 21 + 27 - 5574*g - 77)*(-g - g + 4*g).\nAnswer: -11148*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2827408 to three decimal places.\nAnswer: 0.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/12 - (-1)\/(2\/(-3)). Which is the closest to -1? (a) -10 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - k - 16, -13 = 3*n - 5*k - 42 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**9)**(1\/25)*q**21\/(((q*q\/q**7)\/q)\/q))**(-1\/5) assuming q is positive.\nAnswer: q**(-709\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 45591810\nAnswer: 1\/9118362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k**3 + 2*k**2 + 2*k + 1. Let y be (-3)\/(-9) + 220\/(-3) + 0. Let h = -74 - y. Let s be x(h). Which is bigger: s or -12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.13281 millilitres to litres.\nAnswer: 0.09213281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-75)*(-2)\/((-1 - -9)*1 + -4)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {q: 8, h: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 9:40 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 213281 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11819 divided by 4\nAnswer: -11819\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.763 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 2*x**2 - x. Suppose -5*s + 8*s - 75 = 0. Suppose 2*o = n + 11 + 1, -5*o + s = 0. Calculate w(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p**(-2\/7)*p*p)\/((p*p\/(p*p\/p**(-2\/5))*p)\/(p*p**2))*(((p**0*p)\/p)**(1\/80))**(-1\/37) assuming p is positive.\nAnswer: p**(74\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 436 (b) -1\/4 (c) -2.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 3*b + 9, -128*z + 47 = -132*z + 7*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 548, 1211, 2150, 3371, 4880, 6683, 8786?\nAnswer: 11195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3\/(-9)*6. Let z(u) be the first derivative of u**4\/4 - 2*u**3\/3 - 3*u**2\/2 - u + 1. Determine z(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 17 - 18 + 34 - f. Let z(o) = o**2 + 4*o. Let i be z(-3). What is x(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471135*k**3 + 6763*k**2 - 1471131*k**3 - 6763*k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59.1982611 - 59.2. Round m to 5 decimal places.\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-158)\/54 - (-5 + -8 + 10). Which is smaller: 0.255 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79*p**2*y + p**2 + 8*p*y + 56*p - 2*y - 17 wrt y?\nAnswer: -79*p**2 + 8*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7419917?\nAnswer: 79, 93923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from ddftfdffdffdt?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 582288 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.7642172 - -286202.\nAnswer: 286210.7642172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4617\/160 + 949\/32. Factor o - 2*v**2 + 18\/5*v.\nAnswer: -2*(v - 2)*(5*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -788400 to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 15) to base 4\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 2*b**2 + 2*b - 2. Let i be (-1)\/(-1) - (-2)\/2. Let k be l(i). Let g = 5 - k. Solve a + g = -5*t - 12, -5*t - 15 = -2*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -106080426, -212160850, -318241274, -424321698?\n\"Answer: -106080424*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 45*t**3 + 2*t**2 - 2*t + 15. Let s = -378 + 381. What is the thousands digit of k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**2 + 5 - c + 0*c**2 - c**3 + 0*c + 4*c. Let z be t(-6). Let v = z + -17. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 104\/(3 - 1). Let s = -48 + d. Let h be -1*(-1)\/(s + -3)*-5. Let n(a) = a**2 - a - 6. What is n(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 10:30 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/63 + 36\/168*2. What is the closest to d in 2, 4, -5, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 12*n**2 - 14*n - 18. Determine l(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/20)\/(-5 + 72\/14 + 40\/(-525)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56.1 - -70. Let j = 13.986 - i. Let o = -0.114 - j. Sort 1, o, 4, -1 in decreasing order.\nAnswer: 4, 1, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*d + 1854*d + 58907 = 36*d - 59425 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14226107?\nAnswer: 7, 2032301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*m - 14*g**3 + 4*g**2*m - 13*g**2 - 25*g*m - g - 138*m wrt g?\nAnswer: 12*g*m - 84*g + 8*m - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0126758076 to five decimal places.\nAnswer: 0.01268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 96549530845.567.\nAnswer: 96549530846.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = -3*l + 14, -2*l + 10 = f. Let r(b) = -2 - b + 17 - 3*b**2 + 5*b + 2*b**2. Let p be r(l). Solve p*t + 25 = 3*a + a, -4*a = -2*t - 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2503636 divided by 3.\nAnswer: 2503636\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4361 = -20*p + 56501. Calculate the remainder when p is divided by 97.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6 = -4. Let w(r) = 7*r + 13. Let b be w(-3). What is the units digit of 0\/2 + b\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13449 + 874*q**2 + 2*q - 220*q**2 - 261*q**5 - 6725 - 6724 wrt q.\nAnswer: -15660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3498199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 428974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141595*g + 2283156*g - 1141584*g.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 488171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8086.827m to micrometers.\nAnswer: 8086827000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 + 2*j - 2. Let x(b) = 2*b**2 + 21*b**2 - 5*b - 26 + 37 - 3*b**2 - 6*b. Let m(f) = -11*u(f) - 2*x(f). Let o(q) = 30*q**2. Determine o(m(c)).\nAnswer: 480*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 34. Let o = n + 10. Let w = -1\/148 + 303\/1036. Which is the second smallest value? (a) o (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*g - 106*g - 96 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 37 + 109 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24426 (base 7) to base 13.\nAnswer: 2ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2355392091?\nAnswer: 3, 13, 137, 587, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 3*q + 2. Give d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 + 1 - (-5)\/3)\/(-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 less than 33\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a factor of 1963810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/3*1 - (-124430 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/9 + 4*b**3 + 32*b**2\/3 + 92*b\/9 + 10\/3.\nAnswer: 2*(b + 1)**3*(b + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 845213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 8 (b) 191 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + 3 - 3) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.4 (b) -5 (c) -0.05208266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 4*i**2)*(-4 + 2 + 0)*(30*i - 5*i + 67*i) to g + f*i + d*i**2 + m*i**3 and give m.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and -7467025 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123787586.\nAnswer: 2, 13, 4761061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = 2*u - 9, 0 = 2*u - 5*z - 29. Suppose -8 = -2*h + u*i, -3*i + 4 = -h + 8. Find the first derivative of -h - 3 - 11*d**4 + 21 wrt d.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 2832520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 3)\/((-1 + 2)\/((-385)\/(-70)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2423325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 7:06 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2 and -37\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.2 + 7. Put o, 1, -2\/5 in decreasing order.\nAnswer: 1, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/5 - 1128*k**3\/5 - 6808*k**2 + 4512*k\/5 + 136192\/5 = 0.\nAnswer: -532, -32, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 0*p + p + 0*p + 4 - 3*p. Let a(q) = -8*q + 2. Let m(h) = -h - 1. Let x(z) = -a(z) + 5*m(z). Give -5*b(c) - 3*x(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 606957373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 9. Suppose 0 = -4*j + x*v + 54, 0 = -3*j + 4*v + 13 + 31. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 - -136. Let m(u) = -10*u + 3. Let h(w) be the third derivative of 7*w**4\/24 - w**3\/3 + w**2. Let l(s) = -7*h(s) - 5*m(s). Calculate l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -252143?\nAnswer: 252147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3 - 147. Let z = k - 19. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/15)\/(2\/24). Suppose 0 = 2*k - v*u - 200, 4*k - u + 2*u - 409 = 0. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 u when three letters picked without replacement from gzzkgkzwgguskkz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 3 - v + 3*v**2 + 2*v. Suppose -2*d + 4 = i, 2*d + 2*d = -i + 10. Is 10 a factor of b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567 divided by -21\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g. Let d(l) = 545*l**2 + 170*l + 115. Let x(y) = 182*y**2 + 60*y + 41. Let z(j) = 6*d(j) - 17*x(j). Determine z(t(q)).\nAnswer: 1584*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 183247301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2464.6615 + 2465. What is w rounded to three decimal places?\nAnswer: 0.339","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187736.\nAnswer: 2, 19, 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpph when four letters picked without replacement from hhdhhhhpphd.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6.9. Let n = -0.09999982 + b. Round n to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 39. Suppose 0 = -2*t - m - 41, -3*t = -4*m + 5 + 29. Let q = c - t. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 2680 - 2690, 0 = -5*p + 4*s + 30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -v - 0*v - 2, -4*v = 8. Suppose 5*d + 7 + 8 = o. Let f(b) = -b**3 - 2*b**2 + 3*b + 2. Determine f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -89568673834.\nAnswer: 89568673833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 69.84468 and 215?\nAnswer: 145.15532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -170032178 take away -0.207?\nAnswer: -170032177.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(3\/18). What is the second derivative of -6*b**4 + f*b**4 - 2*b + b**4 wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590646, -1183827, -1777010, -2370195, -2963382, -3556571, -4149762?\nAnswer: -4742955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4730.9 rounded to the nearest 10?\nAnswer: -4730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/2*8\/(-3). Let r(u) = -7*u + 5. Let m be r(-5). What is the units digit of m\/22 - n\/(-44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-11)*b**(2\/9)*(b**(-12)\/b)**(3\/23))**(2\/43) assuming b is positive.\nAnswer: b**(4358\/8901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -153, -231, -309, -387?\n\"Answer: -78*r - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*d**3 + 0*d**2 - 3\/4*d**5 + 0 - 3\/4*d**4 + 0*d = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 84 = 264. Suppose -5*p - 575 = -2*o, 6*p + 1452 = 5*o + 8*p. Suppose 0 = 67*r - 77*r + o. Calculate the highest common factor of r and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -29. Let z be 24 + 2\/2*(a + -1). Let t be 150\/24 + (z\/12 - 2). Let v(n) = n**3 - 6*n**2 - 2*n + 6. Give v(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.556 + -1.2. Let k = -163.644 - c. Let r = k - -163.933. What is r rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 7. Let h(x) = 4*x - 2. Let r be h(2). Let u(p) = -89*p - 2575. Calculate the remainder when a(r) is divided by u(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)*((f\/f**6)\/f)\/f*f**(-3)\/f*f**(-2\/3))\/((f\/(f\/f**(1\/10)))\/((f\/((f**2\/f)\/f))\/f)*(f\/(f*f**(-2\/3)))\/(f*f\/(f*f*f**4))) assuming f is positive.\nAnswer: f**(-511\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10547173*d**2*m**3 - 80*d*m**3 - 5*d*m**2 + 2*d + 162 wrt d?\nAnswer: 21094346*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/40950 and 111\/70920850?\nAnswer: 638287650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:20 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 - 114952*b**2\/5 + 34914370*b - 13436221500.\nAnswer: 2*(b - 55926)*(b - 775)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7499*g**4 - 12273*g**3 + 385084865*g**2?\nAnswer: 179976*g - 73638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from rrhrhrrhrrrhrhrhrrr?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327811162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 6*r**2 - 8*r - 3. Let d be 3*(-2 + (-6)\/9). What is the units digit of a(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30320201.\nAnswer: 31, 978071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2079 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - (-1)\/2. Let k be -2 - y - (-96 - -4). Calculate the highest common factor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 7) in base 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118704467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 505 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {f: 2, p: 1, o: 1, r: 1, b: 1, a: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*-2)\/(sqrt(81)\/(sqrt(9) - sqrt(144))) - 6*1*(sqrt(95)\/sqrt(5) + 0).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143943479 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 5\/4, -4, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**2 + 395*c + 887. Calculate z(46).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/20)\/7)\/(21\/12).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i - 5 + 10*i - 1. Let j be z(5). What is the nearest to j in 1, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 775658 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 5*v. Let c be n(-4). Let s = c + -2. Let q be (-138)\/(-9) + s\/(-9). Solve -5*h = -9 - q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -2099786037586.\nAnswer: -2099786037590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*r + 1 - 1)*((0 + 1 + 1 + (-5 + 1 + 3)*(1 + 1 + 0) - 3 + 0 + 2)*(-2 - 1 + 9) - 6 + 4 + 0 + (-3 + 4 + 1)*(-3 + 1 + 1)) to k + s*r and give s.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(17))*-3 - 3*sqrt(119)\/sqrt(7))**2.\nAnswer: -180*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51841?\nAnswer: 47, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 360274.\nAnswer: -25\/360274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (-4 - 1 - (90 + -78)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 428 + 1\/2*n**2 - 857\/2*n = 0?\nAnswer: 1, 856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 9. Let i(s) = -2*s + 9. Let c be i(0). Let d be v(c). Solve -3*q - 5*o + 17 = d, -3*q = -q - 2*o + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/3 of a year in months?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.1 + -9.1. What is the smallest value in m, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 235\/3. Let n = -0.01 + 6.01. Let s = -5.5 + n. What is the nearest to j in -0.1, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1236*s - 228677. What is c(-185)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*-79681.\nAnswer: -3904369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a factor of 789953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1359 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -793 + 808. Let g = 0.0595 + -10.0595. What is the fourth smallest value in -0.5, r, g, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*c**2 + 254*c**2 + 255*c**2 - 21*c - 785*c**2 - 32*c in the form x*c + h*c**2 + p and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -46 (c) -7.81 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + p**2 + 2*p - 3. Let l be r(2). Find the common denominator of 43\/6 and (l\/(-4))\/(9\/165).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 128 - 18 - 67*f**3 - 91 - 9*f**2 - 21 in the form h*f + b + t*f**2 + v*f**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-216)\/(-12))*1\/(4\/22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 - 3*t**3 + 2*t**3 + (2*t**3 + 3*t - 3*t)*(3 + 0 - 4) + t**3 - 2*t**3 + 0*t**3 - 2*t**3 - t**3 + 5*t**3 + (105*t - 105*t - 134*t**2)*(-1 + 1 - t).\nAnswer: 132*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/6)\/16*-1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 1375.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 5:42 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12235\/6 - -1274\/3. Let i = -1665 - z. Calculate the common denominator of i and 778\/(-70) - (-4)\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 83471 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g - 3*z + 672 = 0, -1762*z + 1764*z = 3*g + 96 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (13 - (2 + (20 - (-16 - -12))))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 1*sqrt(65)*3 + -6*2*sqrt(65))\/((sqrt(45) + sqrt(1125)*-3)\/sqrt(9)).\nAnswer: 4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let g be k(-3). Suppose 67 = -h + o, 3*o = 3*h + 2*o + 203. Let l be h\/12 - (-4)\/6. Sort g, l, 2 in decreasing order.\nAnswer: 2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = i + 528. Which is smaller: i or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-16)*(-18)\/(-27)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - -118.7. Let r = v + 84.3. Let f = r + -76.9999922. Round f to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 99, 143, 179, 201, 203?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.1. Suppose -3*p - 2 = 4. What is the second biggest value in p, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 950 times 1800\nAnswer: 1710000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 11*n - 8 = 0. Find the third derivative of -134*g**4 - 2 - 134*g**4 - 8*g**2 + 278*g**n wrt g.\nAnswer: 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2278 and -5\/51322.\nAnswer: 872474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = 5*k - 26, 0 = 4*k. What is the smallest common multiple of 8 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 0.2, 3, -4 in increasing order.\nAnswer: -4, 0.2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 886.9277 litres?\nAnswer: 886927.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:55 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153.6 + 152.79. Sort -5, u, -0.3 in ascending order.\nAnswer: -5, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.27 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**4\/8 - 4*i**2. Let o be g(3). Let l = o - 14. Sort 3, -2, l.\nAnswer: l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.417 times 0.5?\nAnswer: 1.2085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1010 + 2174*f - 2179*f - 1001.\nAnswer: -5*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmttttttttmt. What is prob of sequence tttm?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-7)*(-161)\/(-46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 - g**3 - 3*g**3)*(3578 - 2222 + 4501) as c*g**2 + n*g + y*g**3 + a and give y.\nAnswer: -5857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -7*p - 3. Let r(q) = 7*q - 1. Give r(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656 and 3247144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + u)*(-14 + 4 + 45)*((-4 + 2 + 4)*(-4 - 1 + 4) + 2 + 1 - 2 + 2 - 3 + 3).\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4726.26 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 divided by 69?\nAnswer: 78\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, l: 3, w: 3, m: 6}. What is prob of sequence pw?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*f**2 - 65*f**2 - 159*f**3 + 90*f**3.\nAnswer: -69*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*g = g - 2, -3*g = -4*r + 11. Suppose -r - 1 = -3*x. What is the tens digit of x - 1 - 42\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7008849 to the nearest integer?\nAnswer: 2647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2186\/1344 - 339\/791 and 97\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642*w = -646*w + 224. What is the highest common divisor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -2 - (2 + -3). Let r(a) = -a**3 + 10*a**2 - 7*a - 22. Let b be r(9). Put 5, i, b in decreasing order.\nAnswer: 5, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pipk when four letters picked without replacement from ikiwikkikwpkpiwwkkk?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 a when three letters picked without replacement from {a: 2, p: 3, n: 8, v: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4 + 6. Let x be f - (-2 + 1) - -2. Suppose 0 = -5*h + h + 20. Do h and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9461*-3.9\nAnswer: 36897.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 - -0.14. Let f = -419.11 + 415. Let p = f - m. Which is the third smallest value? (a) p (b) 1\/6 (c) -2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 not equal to -886\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 6*a - 4. Suppose -4*x - 5*g + 10 = -x, 0 = 5*x + 4*g - 21. Is p(x) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 7. Let d be k(-12). Suppose -d*v + 392 = -2*x, -5*v + 230 = 2*x - 158. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + 15\/(-3) - 2618\/737. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {f: 2, d: 4, q: 7}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4 + 4)*(-5*d + 2*d + 2*d) - 29*d + 29*d - 1 - 2*d**2 + (-5*d + d + 53*d)*(3*d - 4*d + 2*d).\nAnswer: 45*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 823475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(1*-3)*0. Let l be (1 - -2)\/(-6)*o. Solve -u = -l*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, y: 1, p: 2, g: 2}. What is prob of picking 1 v and 2 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 26*a - 31. Calculate z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1167702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705, -3020, -6827, -12084, -18749, -26780, -36135, -46772?\nAnswer: -58649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*12\/216*-30\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -7*u**3\/6 + 220*u. Let f(g) = -12*g**2. Calculate f(j(z)).\nAnswer: -588*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-37) + (-92064)\/15207)*(-150)\/18\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3\/4 + 3075*s**2\/2 + 12309*s\/4 + 1539 = 0. Calculate s.\nAnswer: -1, 2052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2496 and -61\/160668864.\nAnswer: 2088695232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f + 81*f + 5167 = 21649. What is the highest common divisor of f and 9782?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 6}. Give prob of sequence ffs.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l = 0. Let n(g) = 1 - 5 + 3 + l. Let u(p) = p - 5. Give -9*n(z) + 2*u(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -112422 - -27406\nAnswer: -85016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2336*m. Let v(g) = 4*g**2. Determine v(x(s)).\nAnswer: 21827584*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.4 (b) 34\/7 (c) -4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*n + 22 - 22)*(15*n + 2*n**3 - 4*n**3 - 14*n).\nAnswer: -56*n**4 + 28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -2671b?\nAnswer: -26723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 - 1540\/(-98))*(0 - 7). Solve 3*s = y*p - 5, -39*p = -37*p + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276 and 4508.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*v + 143 = 0, 3*v + 29 = -5*n - 198. Let h = 59 + n. Suppose -29 + h = 4*u. Which is the closest to 0? (a) -0.15 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let h be ((0 + 2)*-1)\/(-2). Let d(w) = w**2 + 181*w + 6790. Let y be d(-128). Let v(u) = -4*u + 1. What is h*v(n) + y*z(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h - 10 = 0. What are the prime factors of (h - -1)*-334 - (-14)\/14?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62250752 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 16*g**2 - 13. What is w(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 165743203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 0, -2, 34, 4, 7 in ascending order.\nAnswer: -72, -2, 0, 4, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112*k + 18*k - 8*k + 55 wrt k?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 180 = 34*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let a(r) = 12*r**2 + 16*r. Determine a(s(f)).\nAnswer: 12*f**2 + 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*30\/(-54) + 305\/3. Suppose r = -13*y + 23*y. Solve -y = 5*x - 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37404, 37401, 37434, 37521, 37680, 37929, 38286?\nAnswer: 38769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 + 7*m**2 - 17*m + 2 - 7 wrt m.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2420) - (sqrt(2420) + (sqrt(2420) + (1*sqrt(2420) - sqrt(2420)))*5))\/(sqrt(40) + sqrt(400)\/(1*sqrt(10)) - sqrt(40)))**2 + 1)*-6.\nAnswer: -9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3400)\/50)\/1224*102.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*w - 6 = -254*w. Let b(u) = u**3 + 6*u**2 - u + 7. What is b(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2193*w + 2180*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/14159 + -1430299\/679632. Find the common denominator of -83\/120 and h.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1476482*n**3*r**6 + 4*n**3*r**2 - n**3*r + 3*n**3 + n*r**2 + 25*r wrt r?\nAnswer: 177177840*n**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.926 + -0.074. Let l = 32.1 + i. Suppose 3*z = 7*z. What is the nearest to l in z, 1, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (21 + -22 + -6 - (3 + -63 + 2)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/2)*k)\/k**(-6\/11) assuming k is positive.\nAnswer: k**(89\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2201233 + 1110133?\nAnswer: 3312032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1000120?\nAnswer: 1000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -488 - -995. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s = 5*r + 31*s, -2*r + 22 = 4*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010100100000011 - 1000?\nAnswer: -1100010100100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 9*x**2 - 4*x - 9. What are the prime factors of i(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -329, 4\/5, -2\/5, -0.14, -341?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxogxxoxxjjhxh. What is prob of picking 1 g and 1 h?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 15 = 0, -5*a - 27 = 3*d - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from daawnaf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - n**3 - 3*n**3 + (-2*n + 1 - 1)*(3*n**2 - 3*n**2 - 2*n**2) + n**3 + 6*n**3 + 0*n**3 + (-49 + 17 + 13)*(3*n**3 + 3*n**3 - 4*n**3).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)*l**(3\/4))\/(l*l**0\/l)**(31\/4))**33 assuming l is positive.\nAnswer: l**(-297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -184 + 190*v + 68\/3*v**3 + 0*v**2. Find the first derivative of s(x) wrt x.\nAnswer: 136*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6466 and 5854963.\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*y - 57793 = 102587. What is the highest common factor of 4500 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 2*i - 2. Let u(l) = -3*l - 3. Let z(n) = -3*f(n) + 2*u(n). Let v(r) = -8*r**2. Determine z(v(h)).\nAnswer: 192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 2. Let g = -3 - m. Let a = 46\/3 - 17. Sort -1\/6, g, a in decreasing order.\nAnswer: -1\/6, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5869812 to the power of 1\/2, to the nearest integer?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 4163 + 4283 + 18*g - 133*g.\nAnswer: -5*(g - 1)*(g + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 1 = -7*o - 398 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*i + 104 + 271 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-944)\/(-80))\/(126\/15 - -2) and -103\/72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82215 or -10?\nAnswer: -82215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.58. Let c = -10 + 9.93. Let r = m + c. What is r rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 1. Let x be o(2). Let s be -1 - x - 1 - -2. Solve -2*p + s*p + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.061225 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 16. What is the greatest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 3. Let o be ((6\/(-18))\/1)\/(1\/(-1665)). Let q = o + -544. Give p(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 2*p + 3. Let s be u(2). Let o = -18713\/27 - -693. Is s less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a - 2*a + 0*a)*(4 - 1 - 1) + 6*a - 4*a - 3*a + (5 + 1 - 5)*(a + 0*a - 3*a))*(2*a - 4*a - a).\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15392 and 3695042.\nAnswer: 59120672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1944\/117187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 78*c + 35. Let w(t) = -154*t - 84. Determine 5*b(n) + 3*w(n).\nAnswer: -72*n - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*f - 2. Suppose 5*j - 1 = -2*d + 7, 2*d - 8 = 4*j. Which is the nearest to j? (a) -0.4 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 642 + -637. Suppose -5*k = -7*s + 3*s - 150, 90 = 3*k - y*s. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8350255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 3*v**2 + 2*v**2 - 5*v + 8*v - 7*v**3. Is c(-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(209)\/(sqrt(22)\/sqrt(2)).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**6\/120 - y**5\/12 - y**4\/8 - y**3\/6 + 44*y**2. What is j(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a millennium?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*f + 109, -4*p = -f + 5*f - 104. What is the highest common factor of 161 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from jllaqaqlqeallljql?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18175794 and 1092?\nAnswer: 36351588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - a9b?\nAnswer: -aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1122 - 6*h**2 + 1122)*(17*h - 25*h + 18*h - h**2).\nAnswer: 6*h**4 - 60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12562713873.00000039 - -12562713954. Let v = 47.2 - 128.2. Let z = k + v. What is z rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450190 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*q + 593*q - 459*q + 296*q.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-16 - -27) + -18 + (-8 - -7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90 - -88) + -3 + -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 5958.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**7\/21 - 13*x**5\/60 - 27*x**2. Find the third derivative of f(w) wrt w.\nAnswer: 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37\/3 + 12. Let o = -122.51 - -128.6. Let k = 1.09 - o. What is the nearest to q in -0.1, k, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -3160.\nAnswer: -7\/3160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-1 - -3 - 2). Suppose x - 8 = -k. Suppose 2*u - 4*i - 29 = i, k = -2*u - 2*i. Sort -3, 0, u in increasing order.\nAnswer: -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**4 - 6*h**4 + 4*h**4)*((-4 - 4 + 4)*(1 - 3 + 0) + 4 - 4 + 26 - 5 - 4 - 1).\nAnswer: 96*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 23. What is the second biggest value in -2\/7, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*w = 1073 + 21967. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 3. Let v be g(4). Let i = 14 + v. Let m(t) = -t - 4. Let x(s) = -2*s + 2 - 2 - 5. Calculate i*x(f) - 4*m(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 173792 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39700, 39744, 39788, 39832, 39876, 39920?\nAnswer: 39964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 6.2. Let r be 15*4\/24*(-32)\/(-280). Let v = -1 - -4. Sort r, y, v in ascending order.\nAnswer: r, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28842)\/1672*(-75)\/(-27) + 2 + 50\/(-24)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 4 = 0. Let h be t*5\/(9 + -4). Suppose -f = -0*f - h. Solve 6*z = f*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(28\/(-24))*(-6)\/12.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0136734 to five dps.\nAnswer: 0.01367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -u. Let z = 56942\/73 - 780. Let c = z + 128\/657. Which is greater: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Let m = 263718 + -263713.99958. Let j = n - m. Round j to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -608689 + 66954073\/110. Let i = -87\/11 - l. What is the common denominator of -127\/6 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*x**3 + x - 1442*x**2 + 2*x - 6 + 1441*x**2 - 6*x + x to the form i*x + m*x**2 + h + y*x**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -354 + 176 - d + 202 + 19*d**2 + 2*d - 3*d to the form l*d + p + f*d**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -1364*y**6\/15 + y**5\/10 + 486*y**2 - 4369*y. Find the first derivative of q(t) wrt t.\nAnswer: -10912*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0528 - -0.9472. Put 62, 0.3, r in descending order.\nAnswer: 62, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41088 is divided by 2932.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t + 7*t - 6*t)*((0*t + 2*t - 4*t)*(2 - 3 + 2) - 3*t + 4*t - 2*t).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84589710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2171, 4, -0.1 in increasing order.\nAnswer: -0.1, 4, 2171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8, -2*m - m - 339 = 3*s. Let g = -115 - s. Factor g - 8\/11*c + 24\/11*c**2 + 8\/11*c**4 + 30\/11*c**3.\nAnswer: 2*c*(c + 2)**2*(4*c - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 16. Suppose 0 = 4*f + p - 52. Let u(g) = -g**2 + 5*g + 2. Give u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 43*l**2 + 34*l - 41. Is s(-29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.69884022 - 18.72584. Let c = p + 0.027. What is c rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 + 3*o\/2.\nAnswer: -o*(o - 3)*(o + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 71935160.\nAnswer: 71935160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-50)*(0 + -2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzye?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i**5 - 32*i**4 - 164*i**3 + 504*i**2 - 448*i + 128 = 0.\nAnswer: -4, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 6:59 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*b = -4 + 19, 12 = 4*s + 4*b. Suppose -8*t + s*t = -20. Solve -5*x = -6 - t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = n - 3*f, -5*n - 4*f + 7 = 0. Suppose n*a - 776 = 16. Suppose -8*z + 10*z = a. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 18. Put -5, 1, x in increasing order.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o**4 - 11*o**3 + 24*o + 4. Let l(v) = -100*v**4 - 120*v**3 + 265*v + 45. Let m(z) = -45*f(z) + 4*l(z). Factor m(n).\nAnswer: 5*n*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1074388 or 1074389?\nAnswer: 1074389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.98 + 16.98. Let z = -44 + 39.9. Let r = -0.1 - z. What is the closest to -2 in c, r, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + p - 1)*(14*p - 9*p + p) + 3*p**2 + 2*p**2 - 6*p**2 to the form j*p**2 + l + f*p and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(128) + 0)*-4 - ((sqrt(162) + 1)*-2*-1)**2.\nAnswer: -648 - 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 493*a**7\/105 - a**4\/8 - 115*a**3\/6 + 708*a**2. Find the second derivative of k(v) wrt v.\nAnswer: 11832*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1257736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*h - 7371 - 3877 = -175*h for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -421015\/102 at least -4127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2. Let n(v) be the first derivative of 1\/2*v**2 + v - 43. Let u(w) = 8*w + 19. Let h(x) = -14*n(x) + 2*u(x). Determine g(h(z)).\nAnswer: -8*z**2 - 192*z - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/39)*p\/((p**(11\/6)\/p)\/p) assuming p is positive.\nAnswer: p**(31\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. Suppose 2*r - g = 14. Calculate the greatest common divisor of 108 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27*(4 - 5)*3 - -1. Let z = k - -84. Solve 12 = -4*y - z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 0*t - 15*t + t. Let y(r) = 2*r. Let w(j) = 10*j. Let l(u) = -2*w(u) + 9*y(u). Calculate n(l(s)).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12745398, -25490840, -38236282?\nAnswer: -50981724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g**(-2))*g)\/g)\/(g**2\/g))**(-4\/33)*(g**1\/g*g)**6*g**4\/(g*g**1) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567.853t in kilograms?\nAnswer: 1567853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/10)\/r*(r*r**(-1\/15)*r)\/r assuming r is positive.\nAnswer: r**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:32 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -193*v**3\/6 - v**2 - v. Let q be (-1)\/3 + 2 + 16\/(-6). Is d(q) 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 163547?\nAnswer: 67, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-320)\/480*1\/(-2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5952554004 to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 8*p + 13. Let c be j(9). Let f(b) = 4*b - 16. Let o be f(c). Solve o = 6*k - 4*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20500560 to the power of 1\/2, to the nearest integer?\nAnswer: 4528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + p - 5*s = 2, -s - 4 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3 + 15. Suppose 2*f = 7*f - 5. Let b = f - -1. Solve 0*m = -b*m - 4*y + 18, t*m - 4*y = -24 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96919941*n**3 + 438*n**2 + 7776*n + 2?\nAnswer: 581519646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 11*l = 0. Suppose -10*f + 3076 + 474 = l. Calculate the greatest common factor of f and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*(a*a*((a\/a**(-2))\/a)\/a)\/a*a)*a)**0)**(-34) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12702 and 348.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1.32 (b) -0.2 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from wbfbfwwbbwffyfbyffy.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 2. Determine l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -270 (base 8) to base 5.\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(80)*-1) - (-2 + -2*sqrt(80))*-6) + 1.\nAnswer: -56*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44837 is divided by 895?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1\/56*s**8 + 0 + 0*s**7 + 0*s**3 + 0*s**5 + 7\/24*s**4 + s**2 + 0*s + 0*s**6. What is the second derivative of j(w) wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/5 - 20519*x**3\/10 - 272397*x**2\/5 - 748787*x\/2 - 869167\/5 = 0.\nAnswer: -13, -1\/2, 10286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 47d (base 16) to base 8\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 301 - 298. Is 512 - ((b - -1) + (9 - 13)) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -285.86 + 286. What is the fourth smallest value in 0.01, 1\/5, 1\/2, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24729.3 times 262\nAnswer: 6479076.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 33 = -3*i, 4*i - 2*m - 71 + 39 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.06 - -0.06. Let h = 0.029 + -1.249. Let x = 0.92 + h. What is the closest to -2 in x, 2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by 18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + 8*c + 8. Let g(k) be the third derivative of -k**6\/120 + k**4\/24 + k**3\/6 + 12*k**2 + 64. Determine -24*g(b) + 3*j(b).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2627?\nAnswer: 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5237837 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693063*o - 8 + 1843408*o + 8.\nAnswer: 1150345*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(320)*-1)\/(-3*(sqrt(10) + (sqrt(300)\/sqrt(5) - sqrt(60))\/sqrt(6))).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(2 + 1 - 2)*(-16*f - 4*f - 8*f) + (-2*f + f + 2*f)*(0 + 2 + 0) + 0*f + 6*f - 4*f + 1 - 1 - f.\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 764018, 5, -26 in ascending order.\nAnswer: -26, -4, 5, 764018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/2 of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:45 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2292 divide 171838116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -37\/43, -1\/6, 49.8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 360*y**2 - 6825*y - 12250.\nAnswer: -5*(y + 2)*(y + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3434544, -3434552, -3434560, -3434568, -3434576, -3434584?\n\"Answer: -8*b - 3434536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102252 or -104369?\nAnswer: -102252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let p(k) = 432*k**2 + 2. Calculate p(u(z)).\nAnswer: 1728*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - -1) + 3 - (-26 - -29)) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 1\/3*q**3 - 2 + 1900*q**4 + 5\/2*q**2 + 0*q. Let h be y(-5). Round h to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-6)*-2)\/(8911\/402 - 22). Solve 76 = -n*t - 36*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, -1, -31157.9 in increasing order.\nAnswer: -31157.9, -1, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 180*i**2 + 1728*i - 6912.\nAnswer: 4*(i - 3)*(i + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + b - 1)*(b - 3*b + 4*b)*((3 + 1 - 3)*(-4*b + 3*b + 2*b) + 1 - 1 + b - 3*b - 5*b + 2*b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14166474 (base 8) to base 13.\nAnswer: 88361a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4\/4 - 2*k**3\/3 - k**2 + 7*k - 52. Let h be y(0). Solve 2*z + h = 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-1 + (-6)\/(-15)). Suppose -3*c = -15, 0 = -o*s - s - 2*c + 14. Let l = s - -4. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 14*o**2 + 41*o + 56.\nAnswer: (o - 8)*(o - 7)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1174*t**3*x**2 + 22*t**2 - 4*x**2 wrt t.\nAnswer: 7044*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 22*a. Let g(d) = -5878*d + 232. Determine g(x(f)).\nAnswer: -129316*f + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + ((-790)\/1010 - 9). Are 1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 197, 241, 293, 359, 445, 557, 701?\n\"Answer: x**3 - 2*x**2 + 43*x + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 6 + 2, -4*v - 4*p = -12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o**2 + 2*o + 4. Calculate the remainder when k(-4) is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -5*p - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -654?\nAnswer: 1\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17498.740257 plus -2.5?\nAnswer: -17501.240257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/14309, 0.06, 4\/113.\nAnswer: 3\/14309, 4\/113, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 8*x - 7. Let n be p(-7). Let v be n - (0 + -3)*1. Let g = v - -1. Solve -k + 0*t + t = g, 0 = -4*k + 5*t - 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.3.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 16*c**2 + 33*c - 49. Calculate m(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:52 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -7*z + 2020. Round z to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2549\/12, 1.17, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173 + 139. Do -35 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.8 + 8703.883?\nAnswer: 9004.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 700.999998624 + -701. What is f rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 6*c**2 + c + 14. Let l be o(-6). Suppose -9*s + 3 = -l*s. Find the second derivative of -4*h + 0*h**3 - h**s + 0*h wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599842923.\nAnswer: 3, 53, 571, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.2 - 8.2. Let q = -5.4 - -5. Let h = 51\/104 + 1\/104. Which is the nearest to h? (a) t (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**7\/210 + n**6\/75 - 3*n**5\/100 - n**4\/15 + 2*n**3\/15 + 18*n + 1. Find x, given that w(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*j**3 + 8626*j**2\/3 - 15400*j\/3 - 3848\/3 = 0. Calculate j.\nAnswer: -481, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7532571.\nAnswer: 3, 37, 79, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 207233*h**2 - 207241*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/3092 + -156151\/15460. Calculate the common denominator of c and -43\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/(-135))\/(9\/(-75)) and -40\/63.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -12, -5, 2\/11 in decreasing order.\nAnswer: 2\/9, 2\/11, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 7 - 85*r**3 + 84*r**3 - 4*r**2. Let a be s(-5). Suppose -a = f - 4*n + 12, 0 = f - 2*n + 15. Which is bigger: f or -12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1 - w + 0*w + 6. What is j(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.782878 rounded to 3 decimal places?\nAnswer: 0.783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15678944 by 7.\nAnswer: 15678944\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 8. Let l(k) = -2*k. Determine l(w(v)).\nAnswer: -4*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -60 (b) -3\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.6 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(2)*-4*2) + 1 + -3*sqrt(1573).\nAnswer: -265*sqrt(13)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -10. Let n(g) = 2*g - 15*g + f*g - 19*g. Let r(h) = 33*h - 69*h + 34*h. What is n(r(a))?\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: 14 - -41 - (4 + (-2 + 1 + -10 - -22))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - x + 3*x)*(2 - 1 + 1) + (-x - 1 + 1)*(3 - 1 + 2)*(4 - 2 - 3).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 18. Let a = 26 - n. List the prime factors of (a\/(14\/(-102)))\/(-1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146886 and 6?\nAnswer: 146886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 - 4*g**2 + 4*g - 3. Let q(u) = -u**3 + u**2 + u + 1. Let v(m) = c(m) - 2*q(m). Give v(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 10, n - 7 = 3*f - 4*n. Suppose q = 2 + f. Is 3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48749 divided by -1189.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 48881.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - sqrt(121)*2 - sqrt(121))*5 + sqrt(121))\/(sqrt(11) - (sqrt(88) + sqrt(88) + sqrt(88)*-1 + sqrt(88) + sqrt(88))\/sqrt(8)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10501092967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 2*o**2 - 5*o - 6. Calculate s(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (882\/35)\/(3\/2) - (-23)\/115. Solve y = 39*m + 212 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 + (-1402)\/420. Let w = 1\/1732 - 26851\/8660. Let z = m - w. Which is the second smallest value? (a) 1 (b) z (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29635, 29947, 30465, 31189, 32119?\nAnswer: 33255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 8\/5. Let g = 7.26 + -9.26. Let o = 0.03 - -4.97. What is the smallest value in g, s, -0.5, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + 3 - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1028422191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*r - a, -1106*a + 1105*a - 6 = r. Let v(m) = -4*m + 34. Let q(b) = -3*b + 33. What is r*q(w) + 2*v(w)?\nAnswer: w - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 97 = -206*z + 202*z, 2*j - 5*z = 116 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3996 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 691*o - 5 - 343*o - 348*o - 5*o**2 - 6*o**3 to the form a*o**2 + d + y*o + p*o**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 4. Let z be m(-11). Let s(j) = j**3 - 2*j**2 - 18*j + 7. Is 9 a factor of s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/12)\/(-3)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 881304*l*m**3 - l*m**2 + 237*l - 38*m**5 + 2*m**2 - 1299*m + 3 wrt m.\nAnswer: 5287824*l - 2280*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.111? (a) 0.3 (b) -488\/111 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 - 3\/2*k**2 + 4*k.\nAnswer: -(k - 3)*(3*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-2)*110\/(-44). Solve 3 - h = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 15 = -3*y, 0*y + 2*y = -4*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6*(-15)\/35. Let n(u) = -2*u - 6. Let m be n(-5). Suppose -m*l = -7*l. Does s = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10985*l**5 - 59995*l**4 - 26130*l**3 - 3940*l**2 - 200*l.\nAnswer: -5*l*(l + 5)*(13*l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9406768?\nAnswer: 2, 7, 47, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 4*m**2 + 217*m - 26. Determine a(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1570\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 43340000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 5*u + 2*u)*(u**4 + 0*u**4 - 2*u**4) + 3*u**5 - 2*u**5 + 2*u**5 + (-u**4 + 2*u**4 + u**4)*(1 + 2*u - 1) + 0*u - 2*u**5 + 0*u.\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/13? (a) 0.1 (b) -9 (c) 4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 + -102. What is the nearest to c in 0.1, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5824 + -5821. Let p(b) be the second derivative of 3*b**2 + 9\/4*b**4 + 0 - 17*b + 11\/2*b**k. Suppose p(d) = 0. Calculate d.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14357301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*(-1 + 3\/2). Suppose 21*x = 87 + 58 + 2. Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -11 - 7 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -439073 - -439075. Solve 4 + 1\/2*u**v - 9\/2*u = 0 for u.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3411*o**2 - 1416*o**2 + 251*o**2)*(-3*o**2 - o**2 + 3*o**2).\nAnswer: 4576*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s. Let v be r(3). What is the tens digit of ((-35)\/v)\/(4\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(42\/49)*(-4)\/(-4704)*14.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1561 and -0.559.\nAnswer: -0.4029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -435 (base 6) to base 16.\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**4 - s**3 - 6*s**2 - 7*s + 7. Let i(a) = 5*a**4 + 3*a**2 + 4*a - 4. Let w(b) = 7*i(b) + 4*p(b). Let w(f) = 0. What is f?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 37\/60 - (-18)\/(-30). Let z(g) be the third derivative of 0*g + g**2 + 0 + v*g**6 + 0*g**4 + 0*g**5 - 1\/3*g**3. Differentiate z(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = c - 0*c - 60 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/19 + 18\/133. Let f be 9\/((-18)\/8) - -6. Suppose 0 = 3*u + f*d + 7, 0 = 3*u + 5*d + 5 - 1. What is the closest to x in -1\/4, 1\/2, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 8de26?\nAnswer: 8de2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -5, -7, -2 in descending order.\nAnswer: -2, -5, -7, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2558841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 - 4*j**2 + 7*j**2. Let f(o) = 14*o. Give f(q(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623067 is divided by 1169.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43529483 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209141514*d**2 + 93108*d - 1307?\nAnswer: -418283028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/95403*59)\/((-6)\/63*6)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j + 70. Let k(d) = 3*d + 35. Give 4*f(g) - 7*k(g).\nAnswer: -g + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 8*f**2 - 5*f + 2. Let j be u(7). Calculate the highest common factor of 24 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 27, -3 in decreasing order.\nAnswer: 27, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o - 36 + 172*o**2 - 81*o**3 + 36 + 3*o - 191*o**2 in the form i*o**3 + c*o**2 + v*o + s and give i.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6152, 8602, 11052, 13502, 15952?\nAnswer: 18402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/7, -1.8, -50, 32\/151, -2\/13?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(13)*-3 + -2.\nAnswer: -18*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 158280000 to the nearest 1000000.\nAnswer: 158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 3*g - 3. Let i(u) = u**3 + 4*u**2 + 5*u + 3. Let l be i(-3). Let z(k) = -2*k - 2. Calculate l*z(n) + 2*t(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 83\nAnswer: -25\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.28072552 to 3 decimal places.\nAnswer: -1.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32610131633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 30, -16, 3 in decreasing order.\nAnswer: 30, 3, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*a + 142, -4*a - 15 = -q + 27. Calculate the greatest common factor of q and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 6:47 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*p*p\/p**6*p))*p\/p**3*p*p**(-10)*p*p\/(p*p**8) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43522*d - 302*d**3 + 43522*d.\nAnswer: -302*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1028272185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f**3 + 31*f**3 - 136*f + 136*f.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 20*o**2 - 94*o - 21. Let v be l(5). Solve -n - 1 = -4*h, 0 = -3*h + 2*n + 2*n - v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 226.97 - 228.77. Are -7.59 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1751415 by 1.\nAnswer: 1751415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 12*x + 13. Let y be k(-9). Let s be y\/220 - 130\/(-11). Is s at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/(sqrt(6)\/sqrt(2)))\/(sqrt(1296) - -2*sqrt(1296)))**2.\nAnswer: 1\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - (-114)\/(-4))*(-32)\/(-10). Let m = -15 - o. Calculate the remainder when m is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5 = 15, 2*s + 176 = 4*r. Let g = -39 + r. Solve g*y + 3 = 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/24 and 37\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4)*455\/(-78))\/((-10)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -112210 (base 5) in base 14?\nAnswer: -1699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 5, t: 3}. What is prob of sequence th?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 105301 = -x + 3*r, -8 = 4*r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let i(g) = -g**3 - 6*g**2 - 6*g + 7. Let o(t) = -i(t) - 6*x(t). Suppose 50*r + 26 = -2*u + 54*r, -5*u = -5*r + 45. Calculate o(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 278595.54 to the nearest one hundred.\nAnswer: 278600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) + 26\/39. Let m = 0.18 + -0.08. Let u be -1*(-2)\/7*-3. Sort m, u, j.\nAnswer: u, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4122420 divided by 687070.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j - 2. Let n be g(3). Suppose -w = 2*p - 16 + 4, -4*p + 36 = 5*w. Let c be (0 - 3\/(-6))*10. Solve -n*o + c*o = w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -1. What is the second derivative of 3*w + w**5 - 6*w + 2*w**5 - v*w wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**6\/72 - a**4\/24 + 7*a**3\/3 + 9. Let m(b) be the third derivative of c(b). Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 m when three letters picked without replacement from {w: 1, q: 3, m: 2, j: 1, a: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 260*m**2 + 14*m**5 - 260*m**2 + (9*m + 8*m - 6*m)*(6*m**4 - 2*m**4 - 2*m**4).\nAnswer: 36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 930080310 to the nearest integer?\nAnswer: 30497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 + 98. Put 2\/13, -0.3, u in increasing order.\nAnswer: u, -0.3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 l, and 1 v when four letters picked without replacement from {l: 4, h: 1, w: 2, d: 1, o: 4, v: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17d18 (base 14) in base 7?\nAnswer: 340331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 1992200*i**2 + 496121550106*i - 6945311235772.\nAnswer: 2*(i - 498043)**2*(i - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u - 7. Let d(m) = -10*m + 15. Let o(c) = 3*d(c) + 8*w(c). Determine o(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10680 = -5*c, 9*a + 4*c + 5340 = 11*a. List the prime factors of a.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13841 - -13840.999989284. What is n rounded to 7 decimal places?\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9)**(-4\/5) assuming r is positive.\nAnswer: r**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/28 - 2*j**3\/7 + 9*j**2\/14 - 4*j + 5. Factor p(k).\nAnswer: 3*(k - 3)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4521*r**2 + 3128*r**2 - 10473*r**2.\nAnswer: -2824*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*o + 75. Let a = o - 17. Is (969\/(-12))\/((-2)\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8252 - 32*h - 16592 + 8340.\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-12 - (-1 - 1)) + 0 - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 781 or -116?\nAnswer: 781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44349 bigger than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467178*o + 1607483*o + 1420409*o.\nAnswer: 2560714*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 820.65kg?\nAnswer: 820650000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 9*j + 99*j**2 - 2205*j**2 - 15*j.\nAnswer: -2106*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {o: 3, p: 4, i: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143630 is divided by 1915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010001 (base 3) in base 14?\nAnswer: 25c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/34)\/(3514\/89607)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 46*x = -15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -25 - 4*k + 13*k - 44 + 8*k. What is the tens digit of m(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 3:16 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 7:03 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 20?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a factor of 2114658108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 4*v**2 - 6*v + 2. Let c be (-8*(0 - 1))\/2. Suppose 3*j - 36 - c = -q, 0 = 3*j + 2*q - 44. What is the remainder when j is divided by d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5983 is divided by 162.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 46, 72, 116, 184?\n\"Answer: i**3 + 7*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27791997 is divided by 772.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1661301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8\/35 - -72\/35. Let o = -3721955\/11 + 338615. Let u = -24674\/99 + o. What is the common denominator of s and u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -511*a**3 + 564 with respect to a.\nAnswer: -1533*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 50*l**3 + l - 3. Let h(s) = 75*s**3 + s - 4. Let x(j) = -5*h(j) + 7*o(j). Let b = -248 + 408. Let i = b + -159. Give x(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -19*c**2 + 55*c. Let f(i) = 124*i**2 - 384*i. Let k(b) = 3*f(b) + 20*o(b). Let h(q) = 2*q**2. Calculate k(h(y)).\nAnswer: -32*y**4 - 104*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccckeckccec. What is prob of sequence ce?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 81*g**2 + 2*g - 16. What is the tens digit of c(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-182)\/2184)\/(18\/(-16)))\/(8\/270).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-28))\/(5\/(910\/117)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3 + 4. Calculate the lowest common multiple of 7 and 11 - (-2)\/(0 - r).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -2\/7, -371 in increasing order.\nAnswer: -371, -2\/7, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 16, -4*b + 3 - 11 = 2*y. Suppose b = 3*t + v - 85, 0*t - 4*v + 50 = 2*t. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8127994.\nAnswer: 2, 7, 79, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (120494\/(-16))\/(-11) + 30\/80 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 5*v = -4695. Let n = -313 - v. Solve 40 = -8*g - n*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115.400000487 + 115.4. What is g rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 644, 655, 666, 677, 688, 699?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 2*j, 2 + 0 = -2*j. Solve 2*k - 1 - h = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15024518 and 1114.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13404350*n*r**3 + 13*r**3 + r**2 + r - 172034 wrt n?\nAnswer: -13404350*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooycoyccyyy. What is prob of picking 2 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/((3\/(36\/(-10)))\/(2475\/29700)).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -16. Let q(f) = f + 7. Calculate the remainder when 43 is divided by q(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -21476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sasasaaaaaa. Give prob of sequence asa.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1298583157 and 275.\nAnswer: 274.8701416843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 20*a**2 - 31*a + 52. Calculate p(-16).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - s**2 + s**2 + (7189*s**4 - 9477*s**4 + 6771*s**4)*(-4*s + 4*s - 3*s).\nAnswer: -13448*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 7 = -19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -23*c**2 + 8*c + 116. Let r be -5 + (5 - 8) + 16. Let o(j) = 8*j**2 - 3*j - 39. Let u(t) = r*o(t) + 3*k(t). Find the first derivative of u(v) wrt v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/452 and 36\/253685.\nAnswer: 1014740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 2\/15 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 2672905968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6 = -2*i, i - 8412270 = 3*x - 8412273 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/11, 249, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11070000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12509162*r**3 + 2962824*r**2 wrt r?\nAnswer: -75054972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15633091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76\/5 + 74\/5. Let o = 142.991 - -0.009. Let s = o + -141. Which is the closest to t? (a) -1 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9508855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244 divided by 11?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2\/9, -0.3, 0.8, 4, -10.9268, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2569 - -2565. What is the closest to w in 140, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r**2 - 7*r - 5. Determine j(-4).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 4 - 25)*(-b + 2*b + 2*b).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -17372*x**2 - 86833*x + 144. What is f(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.04, -22?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzmvubbbyybbvymvm. Give prob of sequence vymz.\nAnswer: 9\/19040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/266 and 17\/494.\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 10:10 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 2. Let r(j) = -3. Let c(l) = 3*g(l) - 2*r(l). Let p(x) = 6*x - 5. Let h(s) = s - 1. Let v(b) = 15*h(b) - 3*p(b). Give v(c(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-63)\/(-6)))\/(60\/(-18)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3194 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -92. Let y(p) = -p - 1. Calculate y(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10) + 30636\/2220?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*(d\/(d**(2\/5)*d))\/d)\/d)*d)\/d**(-1\/2) assuming d is positive.\nAnswer: d**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**10\/21600 - c**9\/6720 + c**8\/10080 - c**5\/20 - c**2. Let r(z) be the third derivative of w(z). Solve r(o) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + p + 94 = 0, -b + 3*p + 34 = -0*b. Solve -5*x = -3*a - 6 + b, 5*x + a + 5 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**7\/7 + 7*u**3\/3 - 7. What is the third derivative of x(t) wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m - 15 = -14*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-17 - (-14 - -9)) - -14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/20 and 79\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(8)\/sqrt(2))\/sqrt(2) + -5 + sqrt(98)*-3*-2)**2*1 + -3.\nAnswer: -344*sqrt(2) + 3711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38 - 41 - (-106236)\/3?\nAnswer: 3, 11, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, v: 6}. Give prob of sequence svvv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13229 + 5016. Let k be (-22956)\/15*v\/(-2). Let d = k - 9161074. Round d to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {s: 1, w: 7, r: 2, v: 2}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 6*x - 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 464.0331 - 464. Round h to 3 decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*o**3 - 4*d*o**2 - 232*d*o + 12013*o**2 + 61757 wrt o.\nAnswer: -12*d*o - 8*d + 24026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 + 2.41. What is the nearest to -2 in -2\/7, 2\/9, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f + 3*q + 4, -3*q = -5*f - 6. Let h = 24 - f. Let c(u) = -u**2 + 52*u - 310. What is the remainder when c(11) is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + z + (1 + 3 - 2)*(2*z - 4*z + 4*z) - 2*z + 0 + 0 + 187*z + 9636 - 29*z - 9642 to the form o*z + b and give o.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2158, -2225, -2290, -2353, -2414, -2473?\nAnswer: -2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 9. Let h be f(-6). Let t = h - -8. Let y = t + 0. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11.926 and -73220.\nAnswer: -73231.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - -3*28\/42. Factor 2*u**2 + 4\/5*u + 8\/5*u**3 + 0 + 2\/5*u**g.\nAnswer: 2*u*(u + 1)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 + p**2 + p - 1. Let t be o(-2). Let b = -30 + t. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001201 (base 3) to base 12.\nAnswer: -547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -14 + 17 - (-12 - (2 - 8))) + 3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*k**2 + 82 + 2461815*k - 2461815*k - 255.\nAnswer: 118*k**2 - 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 19*w - 97. Let k be z(3). Which is the second smallest value? (a) -3 (b) k (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 12567494*u\/7 - 213646820\/7.\nAnswer: -2*(u + 17)*(u + 6283730)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -224\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 67462?\nAnswer: 67464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12534 divided by 4178.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/4, 114, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -1. Let s be 1\/7 + (-110)\/(-210). Which is the closest to s? (a) w (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23493 divided by -4\nAnswer: -23493\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 170288392360.\nAnswer: 170288392360.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*i - 10*i - 4*i + (-1 + 0 + 0)*(-2*i - 1 + 1).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*i**4*k + 831*i**3*k**2 - i*k - i + 2*k**2 - 862 wrt i.\nAnswer: -204*i**2*k + 4986*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1489 to 3 dps.\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(260) - sqrt(260)*-3)*-5)\/(sqrt(5) + sqrt(5) + sqrt(5) + -6*(sqrt(5)*-1 - sqrt(5))))**2.\nAnswer: 805\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zccz when four letters picked without replacement from cczcccczczc?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 54*j - 70. Let k be p(52). What is the greatest common divisor of k and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 35 - 1 - 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 10. Let y = m - -34. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k - 3. Let x(s) = -21*s + 4. Calculate 7*l(c) + 5*x(c).\nAnswer: -7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6333508 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1) + 6\/2. Suppose -v*k - 4*u = -66, -2*u - 3*u = k - 18. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/9 - 76*q**3\/9 - 30*q**2 + 76*q\/9 + 272\/9 = 0 for q.\nAnswer: -34, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -106?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 499347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010 + -100000110?\nAnswer: -110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 14*b**2 + 9*b - 61. Calculate o(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/12 - s**2 + 77*s. Let b(r) = 3*r. Calculate b(p(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -165 - -175. What is the greatest common factor of 90 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 3*o**3 + 215*o**2 - 404*o**2 + 217*o**2 in the form u*o**3 + l + c*o + d*o**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*p - 66 = -155*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 1. Let y be w(2). Let x be -1 + 5\/(10\/6). Suppose 5*h + 1 = 2*g, -4*h - g + 1 = -x*g. Solve -h = -n - y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 1\/2*k**4 + 43 + 0*k - 4*k**2 + 2\/5*k**5 - 8\/3*k**3. Factor u(i).\nAnswer: 2*i*(i - 2)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1625\/(-26))\/(2\/(-6016)). What is n rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -1, 4, 23, 62, 127, 224?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(1 + 2 - 5)*(9*i - i + 2*i).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -605, -587, -553, -497, -413, -295?\n\"Answer: b**3 + 2*b**2 + 5*b - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 6*u - u + (0 + 1 + 0)*(-2*u + u + 0*u) + u + u - 3*u + u - u - u + (-2*u - 2*u + 2*u)*(5 - 5 - 1).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2 - 51196*n - 655257604 = 0 for n.\nAnswer: -25598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36022650 is divided by 114.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 0 + 8 = 5*u, -4*u + 7 = v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 636 - 923 + 979 - 1209*i**4 - 48*i**4 wrt i?\nAnswer: -5028*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6401*h**2 - 1 + 3178*h**2 + h**3 + h**3 - 4620*h**5 + 51*h + 3134*h**2 wrt h.\nAnswer: -277200*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 690*p + 690*p - 3*p**2 to the form o + d*p**2 + s*p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 11:17 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/1894229969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 30, -9, -92, -231, -438, -725, -1104?\n\"Answer: -2*l**3 - 4*l**2 + 19*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5\/3 - 50108104*u**4\/3 = 0 for u.\nAnswer: -12527026, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/(8\/((-5824)\/(-13)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = g + 69. Let s be g\/(-28) + 6\/(-21). Suppose s*k - 27 = 4*k. Calculate the remainder when 105 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129 or -90682?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1395980 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t + 6. Give u(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(((((-660)\/11)\/(-10))\/6)\/15)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0485 - 142413971\nAnswer: -142413970.9515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(((-16)\/(-1))\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100672, -100702, -100732, -100762, -100792?\nAnswer: -100822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p - 53*p + 94*p = -737 - 147 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*c + 4*u - 5*u - 16, 4*c - 10*u + 5*u - 23 - 6 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253458715*d**5 + 2*d + 1421402 wrt d.\nAnswer: -5069174300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*j - 0*c + 20, 5*j = c + 5. Let t(u) be the second derivative of 0*u**2 + 1\/6*u**3 - 4*u + 0. What is t(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/(p*p*p\/(p\/(p**(1\/4)*p))))\/p))\/p**3)**(-6\/29)\/((p\/(p\/p**0*p)*p)**(-41))**(2\/3) assuming p is positive.\nAnswer: p**(-3\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26983695 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4858*n**2 - 101*n - 13. Is q(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011010001000000 (base 2) to base 6\nAnswer: -3032424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1431994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w*w*w)\/(w\/(w**24\/w)*w))\/(w\/(w**(-1\/6)*w)*w)**(-17) assuming w is positive.\nAnswer: w**(245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 88 = -3*m, 0 = -m - g + 3*g - 27. Is m at most as big as 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2. Let v(c) = -3*c**2. Suppose 7 = 4*n - 13. What is n*v(l) + 4*j(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -26029?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 - 220 = -6*m. What are the prime factors of 2820\/10 - 6\/m?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1. Let q be c - (-4)\/(-6)*-1. Suppose -g - 12 = -3*h, h = 4*g + 5*h. Sort -5, q, g.\nAnswer: -5, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**(6\/7)*k)\/k)\/k)\/k)\/(k\/((k**(-21)*k*k)\/k)))**(7\/2) assuming k is positive.\nAnswer: k**(-155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/4)\/((-69)\/(-460)). Let m be (7 - 216\/v) + 242\/10. Let k = m + -11. Calculate the greatest common factor of 143 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3382 = 206*h + 119 - 445 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(sqrt(363) + 1 + 3 + 5 + (4 + sqrt(363)*-2)*5))**2.\nAnswer: -24948*sqrt(3) + 121581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 - -260. Let j = -9 + 22. What is the highest common divisor of i and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) - 57\/72. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-20))\/(3\/(-30)). What is the hundreds digit of ((-2)\/f)\/((-1)\/(-594) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -809 less than or equal to -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59\/22 + -5\/2. What is the nearest to -2 in 2, 1.8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21810 - 144 - 8446 - 5450 = 1195*c for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1)\/((187\/(-1190)*7)\/(57\/(-190))).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-68 - 79 + 168)*(-6 + 4 + 3 + 6 - 3 - 1 + 0 + 2 + 0 + (-2 - 2 + 2)*(1 - 1 + 1))*(x - 4*x + 2*x).\nAnswer: 63*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037531 + 0?\nAnswer: 2037531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1159 and -8112\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -293.\nAnswer: 27\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9649 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 - 3*i**4 - 9*i**3 + 3*i**2 + 6*i.\nAnswer: 3*i*(i - 2)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, 2194\/133, 0.4, 0.3, -5?\nAnswer: 2194\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 7*h**2 - 17*h - 9. Let f be l(9). Put -2, -3, 95, f in increasing order.\nAnswer: -3, -2, f, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 469299*l**5*p - l**4*p*z + 2*l**2*p*z + 15*l*p*z - 292*p*z + 3*z wrt l?\nAnswer: 28157940*l**2*p - 24*l*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11051420?\nAnswer: 2, 5, 101, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -5)\/((-42)\/7 + -1). Let d = -4 + 3. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**3*v*v**11*v*(v\/((v**(2\/9)\/v)\/v)*v)**(2\/9) assuming v is positive.\nAnswer: v**(1445\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-98)\/(-441))\/((-2)\/(-18)). Let u(x) be the first derivative of 0*x + 5\/22*x**4 - 1 - 4\/55*x**5 + 1\/11*x**w - 8\/33*x**3. Factor u(p).\nAnswer: -2*p*(p - 1)**2*(2*p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 4*l + 4*v + 8, 32 = 4*l - 4*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-11)\/13 + (2\/54 - 81874\/428922)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2042, 2\/7, -0.5, 1, -3\/2?\nAnswer: 2042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 776329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bed + -1d3?\nAnswer: -dd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -7405\nAnswer: -48\/7405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -479*k**2 + 1605*k**2 + 2*k**3 - 6*k**3 - 459*k**2 - 433*k**2 as i*k**3 + q*k**2 + r + x*k and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45249151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 105194263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2450)\/(-245))\/((-102)\/6).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*m + 3*m - 21, -5*m + 9 = -4*l. Let b(j) = -j**2 + 246*j + 7075. Let v be b(-26). Solve v*o - m*o = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104617842 divided by -34872614?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 30. Let p be (3\/a)\/(5\/10). Suppose -2*c - p*c = -264. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 106. Let o(f) = 2*f + 1. Determine 2*o(v) + 2*u(v).\nAnswer: 2*v + 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37160 is divided by 5109.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsvv when four letters picked without replacement from {s: 14, v: 4}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 + 6 = -2*k, -3*f = -k - 7. Suppose f*u = 3*s + 1146, -2*u + 1529 = 2*u - 5*s. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30692 + 1534503\/50. Calculate the common denominator of -137\/90 and f.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 157 = -0*x + j, 3*x + 3*j = 87. Let n = 9 - -9. What is the remainder when x is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + -15 + 845\/60.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (89 - (-7 + 2))\/2*17. Suppose -5*f = 12*b - 13*b + 783, -3*f = b - m. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432429157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 = 7*s. Suppose 5*j - 3*w - 32 = 0, -2*j + 7 = -5*w - 21. Let k = 0.029 + -0.129. Which is the second smallest value? (a) s (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7346 + 5560 - 1474 = -2794*p - 100328 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.074 + -687833487.698.\nAnswer: -687833487.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237*m**2*o - 584904*m**2 - 5453*m*o - 366*m + 6 wrt m?\nAnswer: 474*o - 1169808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1602, 1602, 1594, 1572, 1530, 1462, 1362?\n\"Answer: -s**3 + 2*s**2 + s + 1600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(4 - 6) - -26. Let k be 10\/f*5*6\/(-4). Let u(n) = -n + 2. Calculate u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -3*o - 24, -3*o - 20 = 31*p - 33*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, a: 5}. What is prob of sequence wa?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3008*r + 3007*r = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5113 (base 8) in base 9?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 115677488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 16. Let r be 1\/1 + -2 - k. Let z(w) = -w**2 - 2*w - 1. Let s(v) = -5*v**2 + 0*v + 3*v**2 - 4*v - 3 - 2*v. What is r*z(g) - 3*s(g)?\nAnswer: -2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*h + 4*v + 165, -5*h = -5*v - 420. Suppose 460 = 4*k + 620. What is the remainder when h is divided by (k\/10)\/(1\/(-11))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17028 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 0*b + 0*b + 7*b**2 - 3*b**2. Let m(n) = -n - 4. Let g be m(-6). Let q(i) = i**2. Let k = 50 + -51. Calculate g*q(j) + k*f(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831 is divided by 610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u = 595 + 539. Let i = 36 + 40. Calculate the remainder when i is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9904 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (513\/131670*140)\/((210\/(-88))\/(-5))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 = j - 5*c, -5*j - 12*c + 4285 = -14*c. What is the greatest common factor of 120 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -700 - 66?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/8 - 13325*a**2\/4 + 177715417*a\/8 - 532187283\/2.\nAnswer: (a - 13319)**2*(a - 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 y, and 1 e when four letters picked without replacement from {e: 2, g: 2, y: 4, t: 4, p: 2}.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:28 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (9 + -4)) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 34*u + 7. Let y(m) = 11*m + 2. What is -2*j(p) + 7*y(p)?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 4*i + 16. Suppose -3*v = 35 - 14. What is w(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 4, p: 2}. Give prob of sequence pwq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*c + 823*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - 0.1. Let s be (1 - -2)\/1 - (-34 + 125). Let k = s - -84. What is the third smallest value in k, a, -1, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3 + (sqrt(98) - (2 + sqrt(98) + -2)))**2 + ((sqrt(98) + sqrt(98)*1 + 2 - sqrt(98))**2 - ((-1*sqrt(98))**2 + 4 - sqrt(98))))*-6.\nAnswer: -210*sqrt(2) - 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 7*b + 6. Let o be z(-4). Let p = o - -15. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91122.06 seconds to minutes.\nAnswer: 1518.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 370\/3989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7387725.\nAnswer: 3, 5, 137, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7105 + 7109. Put z, 1\/17, -0.1 in decreasing order.\nAnswer: z, 1\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**15*c))\/c)**(-27)\/(c**(2\/73)*c**(2\/41)) assuming c is positive.\nAnswer: c**(1373559\/2993)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-60))\/(1\/129) - (-15)\/12. Solve -l + 3*a = -12, 20*l = 23*l - 3*a - q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9238 + -9196. What is the greatest common factor of o and 3584?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.3, 81, -1\/4?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4 (c) -3 (d) 8.1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44409312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -152.9+-19386157\nAnswer: -19386309.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -24*f + 290. Let d(j) = 28*j - 292. Calculate -4*d(r) - 5*u(r).\nAnswer: 8*r - 282","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/9)*(p\/(p**(2\/3)\/p*p))\/p*p**0\/(p**4*p))**(-38) assuming p is positive.\nAnswer: p**(1520\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18190 and 37929.9738.\nAnswer: 19739.9738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 404. Let u be (-2571)\/j - 5\/(-10). Let m = 4\/123 + u. What is the common denominator of 17\/4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5195 times -6112?\nAnswer: -3175.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**4 + 88*k**3 + 351*k**2 - 1418*k + 1611. Let o(i) = -i**4 + 16*i**3 + 70*i**2 - 284*i + 322. Let g(a) = 2*f(a) - 11*o(a). Factor g(n).\nAnswer: (n - 4)**2*(n - 2)*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139135 + 139141.0109. Let l = v - 6. What is l rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:07 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2228239430 to the nearest 10000.\nAnswer: 2228240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from oohjgqohqhqhogqophgj.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 347021 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/105363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2*c**2 - 5 - 3.\nAnswer: -2*c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d + 4*d - 3*d. Let f(w) = 10*w + 4. Let g(h) = -1. Let y(o) = f(o) - 3*g(o). Let c(s) = 3*s + 2. Let j(z) = 14*c(z) - 4*y(z). Calculate j(r(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2015 + -31?\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280160523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**4 - 3930*x**3 = 0.\nAnswer: 0, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + 2*r)*(4*r**2 + 2*r**2 + 0*r**2) + (-3*r**2 + r**2 + r**2)*(4*r - 6*r + 0*r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7984 and 232.\nAnswer: 231536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 2*s**4 + s**4)*(-s + 0 + 0) + (37*s**2 + 3*s**2 + 17*s**2)*(-s**3 + 5*s**3 - 3*s**3).\nAnswer: 55*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 9*u + 16*u + 126.\nAnswer: 7*u + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6312 a factor of 4368127277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6058 + 8225. Calculate the highest common divisor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32\/25 - 153\/100. What is the nearest to o in -4, 3\/8, -2\/13, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcppnepqcppnpqecp. Give prob of picking 1 e, 2 p, and 1 n.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97137.46 litres?\nAnswer: 97137460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b. Let n(x) = 3*x + 2 - x + x**3 + b*x - 5*x**2. List the prime factors of n(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 6. Give s(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 124548177 to the nearest one million.\nAnswer: 125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 1971785952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 202, 200, 198?\n\"Answer: -2*c + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000588852 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.8 - -18.5. What is the fourth smallest value in 7, -5, p, -2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3, 2, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**2 - b + 3. Let t(p) = 9*p**2 - 2. Determine -3*t(o) - 2*x(o).\nAnswer: -7*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 8 - -3) + 7 + -6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let g be ((1\/3)\/k)\/(-2). Is 1 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/3 of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.0300262 + -2.03. What is p rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -8*s + 2*s. Suppose -5*y + 7 = -y + 5*k, -5*y + s = -5*k. What is the third derivative of -y*h - 6*h - 6*h**6 - 7*h**2 + 9*h wrt h?\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5489\/50988 - -1995145\/11434059. Let z = h - -7\/299. Let b = 5\/12 - z. Put 0, b, 0.1, -1 in descending order.\nAnswer: b, 0.1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 5*v = 1, -18342*v = -2*h - 18341*v + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85677943?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 + 0.12. Let p = 0.16 - t. What is the second biggest value in p, 2, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 617226 - 0.5\nAnswer: 617225.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyy when three letters picked without replacement from yyeteee.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.1, -1.5, -0.02, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1.2. Let s = m + -2. Let l = 1.485 + 1.515. Put s, 4\/3, l in decreasing order.\nAnswer: l, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*0\/((-30)\/5). Solve k*i - 2*a = i - 1, 3*i = -4*a + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(5\/(-1) + 4). Let i = j - 14. Let q(c) = c**2 + 4*c**2 + c**3 - 3*c + 3 + 6*c. Calculate q(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -739.35 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -72, -135, -254, -447?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, x: 1, o: 10}. Give prob of picking 1 t and 1 x.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 2 - 3 - 4*z + 4 - 2. Let f be o(-3). Suppose f*n - n = -11. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x**3 - 7*x**2 + x. Let t(c) = 21*c**3 + 15*c**2 - 2*c. Calculate -6*t(k) - 13*v(k).\nAnswer: 4*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/75)\/((-1)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + (7 - -1) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(156)\/sqrt(3)*1*-2)\/(-5*(sqrt(324)*2 - sqrt(324)) + sqrt(324) - (-1*sqrt(324)*2 - sqrt(324))).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361620 to the power of 1\/2, to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 3:29 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5248716 rounded to two decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2*y + 2*y**2 + (y - 25 - 2 - 14)*(-y - 4*y + 3*y)*(4 - 1 + 0).\nAnswer: -4*y**2 + 246*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 9 = 9*v, -3*v - 1024*j + 33 = -1019*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1426 + 1427. Sort -5, -3, z, 6.\nAnswer: -5, -3, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5957572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96291.4g to milligrams.\nAnswer: 96291400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 1. Suppose q = -0*q - 1. Give d(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -1*((sqrt(2) - (sqrt(2) - (sqrt(50) + 1))) + -4)**2 + -5).\nAnswer: -396 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 + 43974732*r**2 + 43974730*r = 0. Calculate r.\nAnswer: -21987365, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -81*b. Let s(p) = 5*p. Let g(y) = -66*s(y) - 4*u(y). Let l(a) = 2*a. What is l(g(f))?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -25. Suppose -s + f = -j - 6, f + 2 = -s. Suppose -3*k - 2*g - g + 9 = 0, -s*g = 4*k - 6. Solve 22 = -3*o + 5*m, k = -4*o + 4*m + 11 - 27 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-12) + (-20)\/(-24) - -1. Which is the closest to 1? (a) 0 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 8 = -2*o, -93*y + 5*o = -94*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 1 - 1 + (l + 0 + 0)*(-l + 4*l - l) + 0*l**2 + 0*l**2 + 2*l**2 - 2*l + 3*l**2 + 2*l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803986083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let p = 9 + 1. Let k be p\/(-55) + 57\/11. Let n(v) = 9*v - 23*v + k*v + 10*v. What is s(n(i))?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807633902 a multiple of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:08 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6*d = 0. Suppose 4*p - 3*u - 21 = 0, 0*p - 6 = -5*p - 3*u. Suppose m + 3*k + p = 3*m, 5*m - 3*k - 3 = d. Solve m*b + 5*b = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/10)\/(1\/(-816)). Suppose -5*n + 60 + 1345 = 0. Let o = b - n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -4 + 1\/3*o**6 - 3*o**2 - 2*o + o**4 - 4\/3*o**3 + 6\/5*o**5. Solve v(l) = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*s - 28, -u - 6*s + 2*s + 12 = 0. Let x be (-2)\/u*(0 - 0). Suppose -24*d + 123207 = 123135. Solve x*b - b = -d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 28 = l. Let s = 170 + -199. Let b = l - s. What is the remainder when b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {p: 1, n: 12}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s**5\/7 + 986*s**4\/7 + 38480*s**3\/7 - 108088*s**2\/7 - 60160*s\/7 + 32768 = 0 for s.\nAnswer: -32, -7\/5, 2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/((-6)\/(-34)))\/(-1). Let g(s) = -17*s + 597. Let y be g(35). Suppose 5*u - 3*x - 14 = 0, 3*u = 4*x + 2 + y. Sort -4, u, z in decreasing order.\nAnswer: z, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -14*o + 62, 2*a - 950 = -4*o - 930 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 7*m**3\/6 - 13*m**2 - 711*m. What is w(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 922, -2, -3 in increasing order.\nAnswer: -3, -2, 1, 922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/(40\/8*-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = 18000000. Suppose 0*n - n + z = 0. Round n to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84090 divided by 139\nAnswer: -84090\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + q - 4*q + (-1 + 1 + 2*q)*(-8 - 2 + 7) - q + 2*q + 0*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 6*x**5 - 8*x**5 + (5 - 5 + 2*x)*(3*x + 2*x**4 - 3*x) + 3 - x**5 - 3 + (10*x**4 - 6*x**4 - 3*x**4)*(-2*x + 0 + 0).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 15 = 2*o + l, o = -3*l - 10. Let t = 5 - o. Solve -4*q - 5*y + 12 = t, -q = q - y - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 137?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = 2*t, 17 = t - 5*t + 5*q. What is the closest to 0 in 8, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, w: 10, s: 1}. What is prob of sequence wbsb?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3668 and 26516.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2628 at least -591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b*o*u**3 - 2*b*o*u**2 + 35*b*u**3 - 3*o*u**3 - 20*o*u**2 - 2381*u**3 + 4086134*u**2 wrt u.\nAnswer: -84*b*o + 210*b - 18*o - 14286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41669, -83370, -125071, -166772, -208473?\n\"Answer: -41701*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 8. Let q(j) = -j**2 + 19*j + 8. Let v be q(19). Let a be y(v). Solve a = 4*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-20))\/((-11)\/4 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 29, 24, 19, 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 - -88.4. Which is the closest to 5? (a) -0.3 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -423452*x**2 + 1370576*x wrt x.\nAnswer: -846904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347 - 42258*t + 347.\nAnswer: -42258*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*t**2 + 217*t**2 + 225*t**2 + 67*t**2.\nAnswer: 358*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = m - 3*z - 26, -5*m - 5*z + 5 = 0. Let j(r) = -r**3 + 6*r**2 - 4*r + 26. Let u be j(m). Let g = -39 - -46. Sort g, -5, u in descending order.\nAnswer: g, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*a + 163, 0 = 4*a + 13*c - 11*c - 318. Calculate the greatest common divisor of a and 1027.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -103*y**2\/2 - 89*y - 2. Let z(l) = -311*l - 266. Let t(p) = 7*b(p) - 2*z(p). Differentiate t(r) wrt r.\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -1 (c) 1\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-72))\/((40\/(-12))\/5)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:32 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(85)\/sqrt(5) - sqrt(17)))**2 + -5 - (sqrt(51)\/(sqrt(15)\/sqrt(5)) + 1).\nAnswer: -sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-46 + 91 - 70)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -11*m - 595. Let v be ((-20)\/(-3))\/(m\/(-1425)). Suppose 0 = 5*t + 3*s + 242 - 1174, -t + v = -3*s. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, -24667.1, 1\/3, 3 in descending order.\nAnswer: 3, 0.5, 1\/3, 0.3, -24667.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 341*-85\nAnswer: -28985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241333601 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 + 4*f - 10. Let z be l(6). Suppose 0 = 4*x, 4*r = 3*x - z + 118. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 10, -4 + 2 = -4*c + 5*v. Suppose 49 - 61 = -c*m. Suppose -2*u - 68 = -m*d, 146 = 5*d + u + 54. What is the greatest common factor of d and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270*w**3*z**3 + 3*w**3*z - 20*w**2 + 2*z**3 + z**2 wrt w.\nAnswer: -1620*z**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7956, 1, 540, -4, -2 in decreasing order.\nAnswer: 540, 1, -2, -4, -7956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:58 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7243789 is divided by 153.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 235*r + 215. Give q(-3).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997 (base 12) in base 10?\nAnswer: -3139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*m = -9 - 11, -80 = -4*h - 2*m. What is the highest common factor of 140 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(88) + sqrt(88)*-1*4)\/((-2*sqrt(64)*2 - sqrt(64))\/((-1*sqrt(8) - sqrt(8))*-5)).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25049.73 millennia to centuries.\nAnswer: 250497.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 - 38. Suppose -10*x = -15*x + d. What is the greatest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -1702*n**3 - 260*n**2 - 4*n - 7868. Find the second derivative of k(x) wrt x.\nAnswer: -10212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 4144521*r**2\/2.\nAnswer: r**2*(r + 4144521)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 15. Suppose -2*r + 4*r = u. Let n = 14 - r. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 2:51 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f*(f*f\/(f\/f**13)*f*f)\/f)\/f)\/f)*f**17)\/(f*f**7\/f*f*f**(-19)) assuming f is positive.\nAnswer: f**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1\/9, 0.3 in increasing order.\nAnswer: -3\/4, -1\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = 9*b. Let b + 98*g**4 + 12*g + 3 - 101*g**4 - 9*g**2 + 8 - 12*g**3 = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 254*m**2 - 87*m**2 + 0 - 91*m**2 - 77*m**2 + 2 - 4768*m in the form z + n*m + q*m**2 and give n.\nAnswer: -4768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5444 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.5, -1, -1\/8, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1682396 divided by -1\nAnswer: 1682396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 184.24*846.8\nAnswer: 156014.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 >= 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11.51 * -377.8\nAnswer: 4348.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from {f: 5, x: 2, a: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 23. Let j(y) = 2*y + 22. Let h(u) = -6*j(u) + 5*t(u). Let z(f) = f + 8. Calculate 3*h(k) + 7*z(k).\nAnswer: k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yww when three letters picked without replacement from wwqqwyqywywwywqwwwq?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.1.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1752*z - 38534. Calculate m(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/(6\/(-3 + 27)). Let u be 5\/(-10) + v\/(-12). Let i = 1\/11 + 5\/66. Which is the second biggest value? (a) i (b) u (c) 0 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*q + s - 8, -2*q + 3*s = -20. Let g(w) = -3*w**2 - 4*w. Let b(r) = -23 + 129763*r + 23 - 129764*r. Determine q*b(y) - g(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31401344 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 276576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-27)*9\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -266831.4.\nAnswer: -533662.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1 (b) 1\/4 (c) 60 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -184*u + 110*u - 7 + 73*u + 4 + 4. Let b(s) = 0*s - 24 - 10*s**2 - 13 - 2*s. Let j(k) = b(k) - 2*y(k). Find the first derivative of j(q) wrt q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/2782 - 68857\/6955. Find the common denominator of 49\/12 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/11020*(800\/30)\/(-16)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24992 - -24619.26. What is j rounded to zero decimal places?\nAnswer: -373","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*y + 904 = 87*y - 431. Suppose 2\/11*k**y - 72\/11*k**3 - 76\/11*k**2 + 0 - 20\/11*k**4 - 26\/11*k = 0. Calculate k.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**7\/120 + l**6\/360 + 2*l**3\/3 - 5*l. Let c(p) be the second derivative of v(p). Find the third derivative of c(w) wrt w.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 10186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from qmqmqmmmqm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40774 divided by 20387.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19129928 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -116 in -0.473, 4, -914?\nAnswer: -0.473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96? (a) 4 (b) -9 (c) 5 (d) 0 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d*z**2 - 4*d*z + 74331920*d + 2*z**2 + 593498*z wrt z?\nAnswer: 8*d*z - 4*d + 4*z + 593498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00574129 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3 - 6*f - 2*f**3 + 2*f**3 - 4*f**3 + 3*f**3 - 6*f**2. Calculate the smallest common multiple of i(-5) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.942664 grams?\nAnswer: 0.000007942664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 485 = -b - 183, 5*f - 5*b - 1100 = 0. Calculate the greatest common factor of 64 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from yfeydyisiiii.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-24)\/(-15))\/(-13*322\/(-1495)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 2. Let v be n(2). Let m = -12 + 15. Solve q + v = m*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/71)\/(((7236\/(-72))\/67)\/((-9)\/12))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*c**2 + 573 + 83*c**2 + 71*c**2 to the form j*c**2 + w*c + k and give k.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1457, 2422, 3389, 4358, 5329, 6302, 7277?\nAnswer: 8254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**2*l**2 + 3*k**2 - 25*k*l - 2*k + 1649*l + 9279 wrt l?\nAnswer: 2*k**2*l - 25*k + 1649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - w + 424. Let a be l(0). Let t = a + -238. Suppose -4*z - 2*n + t = 0, 0*z = -2*z + 4*n + 118. What is the remainder when z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81493667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 153 = -123*d, 2*d + 32 = 28876*t - 28881*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, 2, 4 in decreasing order.\nAnswer: 4, 2, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-4)\/6 + 6 + -1. Which is the second biggest value? (a) 4 (b) 2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 1. What is n(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -22. Let b = v - -27.5. What is the nearest to -1 in b, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*d**3 - 27603*d**2 + 14*d**3 - 179*d**3 + 27603*d**2.\nAnswer: -407*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(77) + (sqrt(77) - (-1*sqrt(77) - sqrt(77))))*-1 + (sqrt(77) + sqrt(77)*-2 + sqrt(77))*2)\/(sqrt(44)\/sqrt(256)) + 3.\nAnswer: -32*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30772)\/(-2198))\/(2\/(-16)*-14) - 406\/51.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -i - 8. Suppose w - 10 = -0*n - n, -4*n = 3*w - 31. What is the greatest common divisor of i and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*b**3 + 2*b - 150*b**3 + 51*b**3)*(-12 + 35 - 12).\nAnswer: -242*b**3 + 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (3 - 3)) + (-28 - -13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**2 + 14397*t + 14396. Let w be r(-1). Let y(o) = -o**3 - o + 27. Let n be y(0). Solve n*a - 26*a + w = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 493 + -468. What is the smallest value in z, 2\/13, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (390\/20)\/39*1\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -6*f + 3*f. Let c = 50 - f. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1377 - 2*u + 1353 + 4*u)*(337 - 337 + 17*u - 3*u**2).\nAnswer: -6*u**3 + 106*u**2 - 408*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3151 - -475803\/151. Let n = k - 308\/453. Let p = -9 - -8.6. What is the second biggest value in n, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264891501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307, 619, 923, 1213, 1483, 1727, 1939, 2113?\nAnswer: 2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i = -235. Let a(w) = -2*w**2 - 3*w. Let h be a(3). Let g = i + h. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*d - 679 = -24, k + 4*d - 128 = 0. Suppose -64 = -2*u + k. Let r = u - 687\/7. Is 1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48526.\nAnswer: 2, 19, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from forppnoporo?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 6, n: 8, i: 2}. What is prob of sequence ini?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*a*u**3 + 9*a*u**2 + 136*a*u + 2*u**3 wrt u?\nAnswer: 168*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.466155 millilitres in litres?\nAnswer: 0.009466155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7500 and 109590?\nAnswer: 27397500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*-46*158\/((-35392)\/336)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = r + 3, -25*r = -4*o - 23*r - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 10 = 2*r + 37, -4*r = k + 33. Let p(n) = -6*n - 8*n - 13 - 3*n - 3*n - 2*n**2. Let a be p(r). Solve x + 3 = 3*m, 4*x - a*x + 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 12*n**2 + 109*n + 13. Let y be a(-9). Let q = 0 + 2. Solve -4*u = -q*u + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/24)\/(2 - (0 + 58\/30)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o - 2*o)*(-2 - 8 - 15)*(5*o**2 - 7*o**2 + 9*o**2 + (-1 - 2*o + 1)*(6*o - 2*o - 2*o) + 0*o + o**2 + 0*o).\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 221614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -961 + 969. Sort g, 9\/7, -0.2, 1 in decreasing order.\nAnswer: g, 9\/7, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1)*f*f)**30\/(f**1*f*f*f*f\/(f*((f*f**(-4)*f)\/f)\/f)*f))\/((f*f\/f**(1\/4))**(-8\/7)*(f\/(f**(2\/23)*f)*f)\/f**(3\/5)) assuming f is positive.\nAnswer: f**(6059\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(144)\/sqrt(3)*-5 + sqrt(48) + (sqrt(432) + sqrt(432)*-1)\/sqrt(9))*-2)**2 + -2.\nAnswer: -320*sqrt(3) + 3095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598444219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 165?\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 0, -5 + 22 = s + 5*i. Is 10\/(-40) + 11919\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-1)\/(-2 - -1)). List the prime factors of (12 - 1)\/(-2 - r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-142)\/(-497) + (-48)\/21)\/(39\/(-6)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((63\/(-6))\/(-7))\/((-4)\/(-16)). Suppose 21 = p*n - 195. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-45) - (-43)\/9. Suppose -3*m + 3 + 3 = 0. Suppose -b = 2*g + m*g - 767, 0 = -5*b - n. What is the greatest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 6*s**2 - 7*s - 6. Let b be i(-5). Suppose -1 + b = -l. Let w be (l + (-3)\/(-1))\/1. Which is smaller: 2\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4010633 (base 7) to base 4.\nAnswer: 1303203203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 461178 and 104.\nAnswer: 23981256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 43 + 63, -i = t - 13315. What are the prime factors of t?\nAnswer: 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280588588?\nAnswer: 2, 7, 43, 241, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 9 + 27. Let d(b) = -3 - b**3 + 4 + 3*b + 3 - 2*b**c. Calculate d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1449*l**2 - 1449*l**2 - 1 - 15*l**4 + (-1 - 3*l + 1)*(-l**3 - 3*l**3 + 2*l**3) as p*l + q*l**2 + k*l**4 + t*l**3 + x and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9061 is divided by 283.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29648 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1204 and 2830303?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**4\/2 - 4*n**3\/3 - 15*n**2\/2 - 108. What is the second derivative of a(z) wrt z?\nAnswer: -12*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79\/186 + -8\/31. What is the common denominator of ((-11)\/((-528)\/(-252)))\/((-324)\/(-8)) and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 604462511 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 18471?\nAnswer: -18486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:45 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 4*i - 2*i)*(0 + 3 - 1)*(0 + 5 + 0).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -19*o + 362. Which is the second biggest value? (a) -4 (b) o (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/6)\/(0 - (-56)\/(-3924)). Let q = 57013\/112 - d. Let r = 20040 + -761417\/38. Find the common denominator of r and q.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z - 3*z**5 - 2*z - z - z wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*o = 31, 5*o + 1 = -4*r + 2*o. Let p be 1\/r + (-15)\/4. Let x be 2\/(-4) + (-6)\/p. Which is bigger: x or 3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a151 + -2?\nAnswer: 6a14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*x + 60, -47 = -2*s + 2*x + 13. Let g be 24\/108 - s\/(-9). Suppose a = -2*h - g*h + 270, -3*h = -2*a + 475. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14090 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11 = -4*d, 5*d + 50 = 3*a + 15. Suppose 2*t + a*p - p - 12 = 0, -19 = -5*t + p. Let k be (-1)\/t + 130\/40. Solve 2*i - k = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 534858014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least 72527872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -21*l**2. Let y(s) = 16136*s**2. Calculate y(n(o)).\nAnswer: 7115976*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -2\/3, -0.46?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from {h: 3, f: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -0.4 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53920 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:10 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 4*u + 20, -3*u + 10 = -l - 0*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:39 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 3*p, 33*i = 34*i - 3*p - 2 + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqt when three letters picked without replacement from {e: 4, q: 5, t: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = 3*k + 131, 2*g + 13 = 3*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + 0 + -8 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q = -18 - 50. What is the greatest common divisor of 16 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 5*i**2 - 6*i - 4. Let t be y(-5). Suppose 27*w - 3015 = 12*w. Let o = t + w. Is o a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -15*s + 20*s - 1343, 3*s + 699 = 2*t. Calculate the highest common divisor of t and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -19.5. Which is the second smallest value? (a) 0.5 (b) 0 (c) 0.1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6533, 4.03, 3 in decreasing order.\nAnswer: 6533, 4.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/24 + 5*z**5\/4 + 105*z**4\/8 + 245*z**3\/6 + 183*z**2. Factor m(o).\nAnswer: 5*(o + 1)*(o + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36221, 36252, 36281, 36308, 36333?\n\"Answer: -f**2 + 34*f + 36188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 2*w - 1. Let c be ((-6)\/(-8))\/(2\/8). Suppose 5*v + 18 = c*z, -2*v + v + 2 = 5*z. Let o be t(z). Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from qqtuuqbbtquuubq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a**2 + a**3 - 4 + 0*a**4 + 0*a**5 + 1\/2100*a**7 - 1\/450*a**6 + 0*a. Let z(c) be the third derivative of h(c). Factor z(o).\nAnswer: 2*o**2*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 - 2*w**4 - w**5)*(-8 + 10 + 9) + 297 - 297 + 6*w**5 + (-4*w**2 + w**2 + 2*w**2)*(-2*w**3 + 2*w**3 - 2*w**3).\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.57 + -1.43. Which is the fourth smallest value? (a) g (b) 1\/7 (c) 4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37823, 75694, 113613, 151580, 189595?\nAnswer: 227658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 0*v = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(40))\/sqrt(5))**2 + sqrt(8)\/sqrt(4)*-3.\nAnswer: -3*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 55 = -71 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98368*q + 49189*q + 49184*q = 5*t + 170, -3*q = 4*t - 52 + 160 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162707 - q**2 + 162621 - q + 6*q.\nAnswer: -q**2 + 5*q - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 49941?\nAnswer: 699174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(sqrt(55)\/sqrt(5) + sqrt(11)) + (sqrt(1331) - sqrt(1331)*1 - sqrt(1331))*-2)**2*-3.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*v + 42 = 0, 5*f - v = 4*v + 50. What is the remainder when f is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*n + 27. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 2)\/(0 + 0 + -3). Suppose d = 3*w + 4*w - 525. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37477 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 5.4. Let c = r + 2. Let j = 1 - c. Sort j, 3\/2, 3\/5 in descending order.\nAnswer: 3\/2, 3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 45 + 715 = 0. Suppose 8688 = 370*f + 274*f - 3548. What is the greatest common factor of b and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7555.213 micrometers?\nAnswer: 0.7555213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 312150, 624301, 936456, 1248615, 1560778, 1872945, 2185116?\n\"Answer: 2*i**2 + 312145*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 348005 = 55*v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/528 and -29\/33?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*-1)\/sqrt(5) - 4*(sqrt(7)*-1 + -1).\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173166923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -20, 841 in increasing order.\nAnswer: -20, 0, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**4\/m**1)\/m**(-1\/23))**(-7\/5))**1 assuming m is positive.\nAnswer: m**(-98\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40, 160, 362, 646, 1012?\n\"Answer: 41*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -578949 by -27569.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3379 by -41.\nAnswer: 3379\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -57?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 5, -14, 8 in increasing order.\nAnswer: -14, -2, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 137616?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*j = -61 - 23 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) - 605\/(-2135). Let x = a + -2127\/3416. Calculate the common denominator of x and 42.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -13)*(-1)\/(-2). Let r = 28 + k. What is the common denominator of (r + 1)\/(180\/42*-4) and 87\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 15*d**4\/8 - 23*d**3\/6 + 3*d**2 + 8. What is the remainder when r(3) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14214)\/(-309)*(-4)\/8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1170\/(-39))\/30*-79?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*w - 34 = 0, -3*w + 7*w + 8 = 4*i. Let o be 1\/(i - (-1 + 3)). Do o and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 14. Let m(h) = -2*h**2 + 5*h - 2. Let s be m(3). Let x = s + v. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 7*x**4\/8 + 47*x**3 - 115*x**2\/8 - 47*x + 27\/2 = 0.\nAnswer: -54, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/8*-1*(1372\/(-560))\/(-49).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*r = 15, 8*t - 4*t + 5*r = 25. Solve t = -5*p + 3*n, 5*n = 3*p + 9*n + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -4\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32223 - -232?\nAnswer: 33121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 8*p - 39. What is the remainder when 141 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = 5*y. Suppose 0*z - 4*z - 5*i = -96, -5*z = y*i - 129. Suppose 3*d - 57 = -3*l + 6*l, 4*l = -3*d + z. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41239680 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5066, -3, 12, 5 in ascending order.\nAnswer: -5066, -3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -k - 14, -5*c - 21 = k + 11. Let x(y) = -y**3 - 3*y**2 + 5*y - 3. Let v be x(-5). Let m = c + v. Solve f = -3*f + m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -4*j + 5*p, -3*j = -7*j - 5*p - 27 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*t - 2*t. Let s = t - -8. Let -3*a**2 + 9*a**3 + 0*a**4 + s*a**4 - 9*a**5 + 0*a**4 = 0. What is a?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 3*c**5\/16 + c**4\/8 + 9*c. Solve f(v) = 0 for v.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j + 49*j**2 - 71*j**2 + 2*j**3 + 5*j + 14 + 8. Calculate h(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 3\/4 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/2875312 or 0?\nAnswer: -13\/2875312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 4*c + 2*c)*(4*c + 167 - 16 - 55) to the form z*c + t + b*c**2 and give z.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -4.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 7*k - 26. Is 65 - 1 - (-3 - k\/(-2)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + l - 7 = 0, -5 = 3*b + b - 3*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 11 = -6*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68140, 68144, 68148?\nAnswer: 68152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595403 divided by 117.\nAnswer: 595403\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2171089 - -1?\nAnswer: -2171088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.1 (c) -2\/3 (d) 279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 - y**2 + 2*y**2)*(-6*y**2 + 4*y**2 + 3*y**2) - 26*y**3 + 3*y**3 - 2*y**3 + y**4 in the form b + w*y**2 + a*y + c*y**3 + f*y**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 7. Suppose -h - 4*q + 2*q + 11 = 0, 5*h - 40 = -5*q. Let t be p(h). Let b(l) be the first derivative of -l**2\/2 - 2*l - 1. Determine b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -0.018?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -612 + 806. What is the remainder when k is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 - 409\/3. Let a = 0.02 - -7.98. Let v = -255.7 - -256. What is the smallest value in v, q, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -188*j - 122. List the prime factors of o(-18).\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbggagbbgbgbgbbaab. What is prob of picking 1 b and 2 a?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l + 3. Suppose 1 = 2*j - l. Let w be ((-4)\/5)\/((-1)\/5). Put -2, w, j in descending order.\nAnswer: w, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -18*(70\/(-15))\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1252? (a) -3 (b) 2 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 4. Let m be o(-3). Let z(p) = p + 1. Let a(h) = 4*h + 4. What is m*a(q) - 2*z(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:38 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5450*4*(-24)\/320*-5?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Let z(l) = -l**2 - 10*l - 6. Let b be z(-9). Solve 16 + b = -d*u + v, -2 = 2*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 24.84 seconds?\nAnswer: 24840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.02, -31, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -0.46. Let v = -13.484 + 13.584. Which is the closest to 0.2? (a) -26 (b) -3 (c) v (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {f: 2, z: 1, i: 5, q: 1, n: 2, u: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/29, 2\/3, 11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446609 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12505 - 11658. Calculate the remainder when c is divided by 136.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 8) in base 16?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxbw when four letters picked without replacement from bbwbxwbbbbbbxwxbxwb?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6796836 or -6796842?\nAnswer: -6796842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 17 = 5*t, 11 + 5 = 4*t + 2*b. Suppose -t*r + 8*r = 6. Calculate the least common multiple of -1*1*4\/(-2) and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995*d + 2088*d - 13555 = 60437 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*k = -10, 3*h - 6*k + 51 - 36 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/60 and -23\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 831929*r**2\/2 - r\/2 - 831929\/2.\nAnswer: (r - 1)*(r + 1)*(r + 831929)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + s + 0*s - 23 - 5*s. Let l be d(-7). Let r(b) be the third derivative of b**6\/120 + b**5\/15 + b**4\/8 + b**3\/3 + 2*b**2. Calculate r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-1 + 6 + -18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -431*x**4\/24 + 119*x**3\/6 - 5*x**2 - 94*x. What is the first derivative of f(i) wrt i?\nAnswer: -431","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {d: 4, m: 4, t: 6}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 147 or 121?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -52*b - 33. Let s be x(-6). Let j = s + -226. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**3\/3 - i**2 + i + 5. What is r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3445 and 76706370?\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14657*g - 14662*g + 170 = 0 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6462 (b) 2\/11 (c) 103 (d) -0.2 (e) 6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = -25. Let h = -8 + y. Suppose 5*r = h*r - 2, 5*w - 4*r = 99. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkadkdakkk?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + o + 119000. Let b be x(0). What is b rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - ((sqrt(95)*-2 + sqrt(95) + sqrt(95))*-3 - sqrt(95)))\/(sqrt(405) - (sqrt(405) + 2*sqrt(405))).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**2 - 2100*q - 9397.\nAnswer: -8*q - 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((2\/1)\/(-7 + 4 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y, 1 = -2*n + 3*y + 4. Let o = 33 - 8. Solve 3*q - 5*u + o = -9, -u + 5 = n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2057*z = -2058*z + 6, 4*z = 2*a - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 8. Suppose 5*f + 8 - 58 = 0. Calculate the lowest common multiple of r(-2) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 401 = h, -4*h = -6*y + 5*y + 119. Suppose 6*j - 491 = 247. Let w = y - j. What is the highest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 170\/(-12) + (-20)\/10 and -49\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3271550 * -0.02.\nAnswer: -65431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -143386343, -286772691, -430159037, -573545381?\n\"Answer: b**2 - 143386351*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/(((-4)\/33)\/(188\/(-3102)))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -7, 4, -1 in decreasing order.\nAnswer: 4, -1, -7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009105 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {n: 11, c: 5, i: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65351438 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 14) to base 8\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41269 times 0.019?\nAnswer: -0.00784111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 379*q. Let b = 13 + -8. Let t(n) = n - 4. Let g be t(b). Is z(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s + l + 12, 2*s = -4*l + 24. Suppose m = -s + 24. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) -0.5 (b) 1 (c) -1 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*b + 41*b + 27924776 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {y: 1, e: 1, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11*u**2 + 985*u - 2968. Determine k(3).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5, 3\/5, 6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*o**3 + 1\/2*o + 5\/4*o**2.\nAnswer: o*(o + 2)*(2*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 366374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177\/28 - -46\/7. Let w be ((-9)\/(-15))\/((-44)\/10). Let u = -17\/44 - w. Is k at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 - 7*p - 41. Let x(c) = -10*c**2 - 9*c - 71. Let l(s) = -4*s**2 - 3*s - 24. Let m(f) = -8*l(f) + 3*x(f). Calculate 7*m(i) - 3*o(i).\nAnswer: -i**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - -3.92. Let y be 12\/10 + 510\/75. Let t be -2 - y\/60 - (9 - 11). Which is the smallest value? (a) u (b) t (c) -0.04 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 150, 667, 1518, 2703, 4222?\n\"Answer: 167*s**2 + 16*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285106 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 4\/10 + (-69)\/(-115). Suppose 36 = l*m + 2*m - 3*c, 45 = 5*m + 3*c. Calculate the remainder when m is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -10. Let g = -141\/2 + 71. Do v and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 4, e: 1, d: 2}. What is prob of sequence je?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3506, -4793, -6094, -7415, -8762, -10141?\nAnswer: -11558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3875630 divided by -1937815?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 - 15*n**2 - 12*n**2 + 32*n**2. Let g(s) = 3*s**2. Determine g(q(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 0.1, -0.2, 4, -129 in decreasing order.\nAnswer: 4, 2.5, 0.1, -0.2, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 6*f**2 - f + 3. Let z = -10 - -14. Suppose 2*q + 15 = -2*q + 3*h, z*q = -4*h - 36. Calculate l(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r = -5731 - 6922 - 14979. List the prime factors of r.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 + (-35 + -76 - -159)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o - 31. Let b be m(-6). Let u(w) = 0*w**2 + w - 2 - w**3 + 5*w**2 + 3*w**3 - 3*w**3. What is u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 29*v - 52. Let o be m(-27). Which is the fourth smallest value? (a) 0.09 (b) 4 (c) -5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-44)\/(-99)*7\/4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-2 - (3 + 4 + -7)). Let u be (1 + o)\/(12\/(-568)). Which is smaller: -141 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 8:13 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13 - 32*l - 7*l**2 - 22*l + 6*l - 4*l**2. Let o(a) = -7*a**2 - 32*a - 9. Let d(i) = 8*o(i) - 5*t(i). List the prime factors of d(-14).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 6. Let z be i(4). Let c be -2 + -3*(-68)\/z. Suppose -2*p + c = 2*p. Solve 4*m + p = -4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -159, -262, -363, -462, -559, -654, -747?\n\"Answer: c**2 - 106*c - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134 - -176. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013505 to four decimal places.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 164 = f, -5*f = -0*n - 3*n + 498. Let z(q) = -q**2 - q + 5. Let r be z(10). Let s = r + n. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 174825551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 26061.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((-50)\/14 + 7*3\/(-49)). Let n(q) = q**3 - q**2 - 19. Let a be n(0). Which is smaller: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 10563105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-99)\/18 - -7)*10\/(-3). Let x be (90\/36)\/(y\/(-2)). Let c = 5.35 - 5. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 92?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let d(s) be the first derivative of -5\/2*s**2 - 4 + 0*s + 0*s**4 + 0*s**3 + 1\/10*s**5. Let q(w) be the second derivative of d(w). Give o(q(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 8*k = -9416. Suppose -k = -p + 172. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19400 is divided by 19395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/2)\/((-4)\/(-2)). Does 2\/15 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from retsrtserttrtess.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-928)\/42 - (-64)\/560*(-15)\/(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221034 is divided by 6014?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12826, 9, -1?\nAnswer: 12826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1130 = -i, -434 = -2*s - i + 11. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234998.7ug in grams?\nAnswer: 0.2349987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v = -24376. Suppose v = -5*a + 7*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*f + 40, 0 = -5*g - 5*f + 32 - 2. Suppose 5*s + 1 = g. Let 16 + 4*i**s - 16 - 8*i = 0. What is i?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + 0*m)*(1 - 2*m - 1) + m**2 + 2*m**2 + 102*m + 2 - 100*m.\nAnswer: m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*p**4 - 5*p + p**2 + 4*p**2 + 3*p + p**2 + 128*p**4 as l*p + y*p**4 + n*p**2 + z*p**3 + h and give y.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4370 by -95.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2428, 4951, 7568, 10279, 13084, 15983?\nAnswer: 18976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33, -2893, 1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*j - 141*j + 886 = 0. Suppose 4*y + 5*w = 1858, -1420 = -5*y + 2*w + j. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47975 + 47962. Let x = 0 - 4. Put 2, x, -3, s in descending order.\nAnswer: 2, -3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**9\/15120 - a**6\/240 + a**4\/4 + a. Let b(o) be the third derivative of l(o). What is the second derivative of b(u) wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1233*g**3 - 1222*g**3 - 9 + 4*g**2 + 7 as k*g**3 + v*g + p*g**2 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**2 + 105*b - 51.\nAnswer: -3*(b - 17)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115164 = -5*q - 535*r + 539*r, 5*r = 4*q - 92124. Is 26 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5\/4 + 5*o**4\/4 + o**3 - o**2 = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17088, -17131, -17174, -17217?\n\"Answer: -43*w - 17045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 10*v**2 + 2*v - 19. Give d(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**3*q*r**2 - 413*o**3*r**3 - o**2*q*r**3 - 236*o**2 + 2*q wrt o?\nAnswer: -30*q*r**2 - 2478*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**2 - 125*w**2 + 26*w**2 + 40*w**2 + 33*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22951 is divided by 1350.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*h**2 + 1 - 2 + 1 - 898*h + 1065*h**2.\nAnswer: h**2 - 898*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*y - 169 = 0, -169 = -n - 36*y + 37*y. Calculate the remainder when n is divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/7 - 9*f**4 - 303*f**3\/7 + 9*f**2 + 300*f\/7 = 0. Calculate f.\nAnswer: -4, -1, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 0*y**3 - 22 + 0*y**4 + 0*y**2 - 22*y + 13\/5*y**5. Differentiate k(n) wrt n.\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.05106 - 0.05106. Which is the second smallest value? (a) 0.1 (b) -2 (c) -2\/7 (d) s (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 22*y**2 - 39*y + 24. Let q be r(-20). Sort q, 0, 41, 2\/9 in ascending order.\nAnswer: 0, 2\/9, q, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 252420.\nAnswer: 252420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2\/9 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -27?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 260371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 2*z + 2. Calculate i(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -744?\nAnswer: 65\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/47 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 12:03 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*m + 68, 95 = -2*y + 7*y + 5*m. Suppose -6 - y = -3*g. Let o be 7\/(-2)*(12\/g)\/(-3). Solve 0 = -4*x - 14 + o, 0 = w - 5*x - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 2e6?\nAnswer: 2e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/104*1\/(-3)*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.7. Let g = 32 - 35. What is the third smallest value in g, -6, -4, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4 = -5*k. Calculate the smallest common multiple of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -5. What is the greatest common divisor of l and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -454.1 + 258.1. Which is smaller: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7*l + 19. Let p be d(-5). Let s = 16 - 25. Let x = -6 - s. Solve 2*u - 9 = -o + 3, -3*o + x*u = p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2749 (base 13) to base 16\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 + 1.79. Let s = -2.1 + h. What is the closest to 0.02 in 1, -2\/21, s?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 1. Suppose 10 + 20 = a*q. Calculate the highest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -25, -42, -75, -130?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 19*j + 165 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (26\/169 + 48\/26). Solve -a - 5*c - 2 = u, 4*a - 4*c - 20 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*h**3*q*r**2 + 2*h**3 + h**2*q*r**2 - h**2*q - 2*q*r**2 wrt h.\nAnswer: -198*q*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*q - 29, 5*c + 5*q - q - 90 = 0. Suppose -2*j + 0*j + c = 0. What is the second derivative of m**5 - 4*m + 2*m**5 - j*m**5 wrt m?\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -5*t. Let x(m) = m + 5. Let o be x(t). Suppose o*q - 9*q + 1401 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 12:42 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(13\/4))\/(i*i**(-31)*i) assuming i is positive.\nAnswer: i**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 1279 = 627 + 704. Solve 3*r - 5*z = r - 3, -v*r - 4*z + 8 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, 3, 50 in descending order.\nAnswer: 50, 12, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saag when four letters picked without replacement from {g: 2, q: 2, a: 2, y: 1, s: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-21*1*2\/(-18))\/((-120)\/360)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -655842.9128909 minus -0.4?\nAnswer: -655842.5128909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + r**2 - 3)*(-32*r + 16*r + 28*r)*(0 + 1 + 2).\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + r - 10. Let f(n) be the first derivative of n**2 + 1\/4*n**4 + 0*n**3 + r + 0*n. Find the second derivative of f(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 * -15.6\nAnswer: 54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 400225*i**3*r**2 + 2*i**3*r - 9*i**3 - 2751567*i**2 - i*r**2 wrt i.\nAnswer: 2401350*r**2 + 12*r - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/352 and -65\/297.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 10 + 3*c**3 + 1 to the form s*c + p*c**3 + l*c**2 + o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 5?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*u + 189 = -2757 - 2904 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x = -102*x + 293 + 346 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*u = 1730 + 1051 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 313 + -280. Calculate the remainder when l is divided by 20 + 2*(-3 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*h + 20*h + 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12571 and 40261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 56. What is the common denominator of 44\/5 and 44\/i + -12 + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 41 = h, 0 = -u + 3*h + 5 + 2. Let l(q) = -8*q - 1. Let x(r) = -17*r - 2. What is u*l(b) - 6*x(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 10) in base 15?\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3478 is divided by 79?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 2*b**2 + 3*b + 3. Let m be j(3). Suppose 0 = 5*r - m*r - 8. Solve -r*o + 1 - 21 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1))**(2\/69)\/(w\/w**(-3)*w**1\/w))**(2\/3))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*r - 359*r - 1008575 = 0. Is (598\/65 + -9)\/(1\/r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 1, r: 10, m: 1}. What is prob of sequence emc?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*g**2*h**4 + 1053*g**2*h**2 + 2*g*h**4 + 2*g*h - 2*h**4 + 2*h**2 wrt h?\nAnswer: 984*g**2*h + 48*g*h - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 90\/(-3)*12\/(-8). Let g = r + -42. Solve g*d - 4*a = 8, -d + 7*a = 3*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/23*2\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1354 divided by -307.\nAnswer: 1354\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71441.\nAnswer: 199, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(-4*o + o + 2*o) - 6 + 6 - 3*o + (0 + 3 - 7)*(5*o - 2*o - 5*o) + o - 2*o + 2*o as v + w*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111110011001 - -10100?\nAnswer: -111111110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1315, -1328, -1341, -1354, -1367, -1380?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (-2)\/8 + 522\/72. Which is greater: t or 2\/28691?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 7*o**2 + 6*o - 4. Let s(l) = -l**3 - 8*l**2 - 7*l + 5. Let j(z) = -5*s(z) - 6*t(z). Let u be j(-2). What is the closest to 0.1 in u, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -189 + 271. Let h = -77 + t. Solve -h*o + 1 + 9 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from fffpfhfffhffpfffpf.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*11\/(1155\/14). What is the nearest to -1 in h, 5, -5, 2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*u + 718 = -2834 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**(4\/7))**(-19) assuming n is positive.\nAnswer: n**(-152\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -223, 5, -3.\nAnswer: -223, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -21\/10*f**2 + 16 - 9\/5*f - f**3 - 3\/20*f**4. Factor i(c).\nAnswer: -3*(c + 1)**2*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11103231013 (base 4) in base 5?\nAnswer: 324011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1534\/(-182) - -8) + 151\/385. Let s = 0.2 + -0.3. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4599847, 4599835, 4599809, 4599763, 4599691, 4599587?\n\"Answer: -c**3 - c**2 - 2*c + 4599851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3743, 14982, 33693, 59858, 93459?\n\"Answer: -3*d**3 + 3754*d**2 - 2*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6274758 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 497, 1045, 1591, 2135, 2677, 3217, 3755?\n\"Answer: -m**2 + 551*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -4\/3, -1, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2018 - 1973. What is the lowest common multiple of r and 117?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12 and 83\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a decade in months?\nAnswer: 1470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 106\/(2*-2 + (-864)\/(-189)). Is a less than 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 5*z**2 - 8*z + 1. Suppose 5 = -2*m + 17. What is w(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -14*a + 6. Let f(w) = -w + 1. Calculate -14*f(n) + 2*l(n).\nAnswer: -14*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 212*p - 292. What is the remainder when a(4) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38542, 77224, 116044, 155002, 194098, 233332?\nAnswer: 272704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 10220 = 9*q. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-2\/11)*(m*m**(-3))\/((m\/m**(-11\/5))\/m*m))**(10\/13) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15452 divided by -5286?\nAnswer: 7726\/2643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -80*l. Let f(t) = -19292*t. What is k(f(a))?\nAnswer: 1543360*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171.94 + -174. Let o = -2.1 - n. Which is the biggest value? (a) -3 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*f - 159*f + 349*f - 466488 = 0. What is the highest common factor of 66 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + c + 2. Let j be z(2). Let p = -2 - j. Solve 6*y = -5*g + 2*y - 6, y = -p*g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 19534 and 19534 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 265 = -0*f + 5*q, 0 = 5*q - 15. Let y = f - -145. Suppose 685 = 3*a - 0*a + 4*x, -y = -a + 2*x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/24 + d**3\/3 - 28*d**2. Let x(v) = v**2 - 8. Let z be x(-4). Determine q(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:55 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -583*g - 1748. Let t be s(-3). Let p(m) = 11*m**3 - m**2. Let c be p(-1). Let n = c + 17. Solve -40 = -5*l + n*v, -l - t + 15 = -3*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*s - s - 3*s**2 + 8*s)*(-4*s - 5*s + 12*s) in the form d*s**3 + j*s + c*s**2 + b and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -1.341.\nAnswer: 0.05364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 30 = -2*f, -40 = -n + 6*n - 4*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2 - 2*p - 10. Let t be h(-6). Solve -t*l = 3*w - 10, -3*l - 3*w + 14 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 4*t**3 - t**2 + 6 + 3 - t**3 - 3 + (27*t**2 + 739*t - 739*t)*(3 - 3 + t) in the form x*t + y*t**2 + o + h*t**3 and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18181486 from -78621801.\nAnswer: -60440315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-15)\/(-10) + 33\/2 and (-53)\/(-3) - 1\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 5, f: 1, l: 13}. Give prob of picking 3 o and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus -537?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + -2 + 4\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/2 - 83\/22. Let h = 3492 - 3490. Which is the biggest value? (a) -0.4 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 3)*1*1. Suppose -5*i + 30 = 5*y, -266*i = -262*i - 2*y - 12. Suppose 0 - 2\/11*p**i - 2\/11*p**5 + 2\/11*p**m + 0*p + 2\/11*p**3 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 3\/2, -4 in ascending order.\nAnswer: -4, 3\/2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/19 - 15748*v\/19 + 89040.\nAnswer: -2*(v - 106)*(v + 7980)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**(-1\/3)\/t)\/t)\/t*t)\/t)**(-6\/17))**(-1\/7)\/(((t**2\/t)\/t)**28*(t*(t**(1\/2)*t)\/t*t)**(22\/3)) assuming t is positive.\nAnswer: t**(-6605\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088 times 0.3?\nAnswer: 0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446, -1770, -3976, -7064, -11034?\nAnswer: -15886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 39. Let u be t(0). Let j = 47 - u. Suppose -2*l - 1 = -17. What is the lowest common multiple of j and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 0, 3, 35 in descending order.\nAnswer: 35, 3, 0, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from vvqvaaqvavuqdq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 = -2*u, -2 = -2*v - 0*v. Let t(a) = -a**3 - 8 + u*a**2 - 6*a + 2 + 6*a**2. List the prime factors of t(5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 793?\nAnswer: 79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 26*p**2 + 0 - 4\/5*p**5 + 0*p**3 + 0*p + 13\/24*p**4. What is the second derivative of v(u) wrt u?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 13*p = 27*p - 48. Solve -p*m + 24*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(432) + -1 + sqrt(432) + (sqrt(432) + sqrt(432) + 2*sqrt(432)*4 - sqrt(432)))**2 - (sqrt(63)\/sqrt(3)*5)\/(sqrt(700)*2).\nAnswer: -2113*sqrt(3)\/4 + 52276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-18)\/27)\/(((-2499)\/(-14))\/7).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 23*b**2 - 257*b + 15. Determine k(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 11*v - 36. Let x be b(6). Suppose 181 + x = 19*p. Suppose 2*d + 30 = 82. Calculate the greatest common divisor of d and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = d - 3*x, 0 = 3*d + 6*x - 2*x - 107. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 16*m**4\/3 - m**3\/6 + 14*m. List the prime factors of b(-1).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139846 and 39916044?\nAnswer: 279412308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 836 - 805. Calculate the remainder when (-364)\/(-7) + -2*1 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390062411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 22*i**2 - 20*i + 17. Let y be c(-21). Let x(a) = a**3 + 3*a**2 - 4*a - 1. What is x(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/40*(-1 - 1))\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (26 + 2 + -1)*1. Suppose -b = 2*n - 5*n. Calculate the remainder when 33 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 74789350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 5\/8, 69.25, -5, -0.08?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (4 - 3) + (-10 + 3 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4055826.\nAnswer: 2, 3, 17, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*n - 4*n + n)*(-1 + 1 - 2*n) + 2*n - 2*n - n**2)*(3*n - 2*n + 0*n) - 20*n**3 + 123*n**3 + 51*n**3.\nAnswer: 151*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 65870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*b = 11, 3*i - 1 = i - b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13159877 and 2063.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3857 and 62\/1653.\nAnswer: 11571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -6, 2 in decreasing order.\nAnswer: 2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*g = -10820 + 1622 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.7148 milligrams in kilograms?\nAnswer: 0.0000317148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59.819 + -59.8231129. Round q to 5 decimal places.\nAnswer: -0.00411","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 129 (b) 4 (c) -0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74233041 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 19 = 0, 5*d - 3*d - 5*g - 12 + 21 + 24 = 0 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -23. Calculate the remainder when 23 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 97 - 81. What is the closest to 1 in 1\/7, y, 1, -0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 35606417?\nAnswer: 106819251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 16*c + 7926. Let h(x) = 9*x + 3960. Give 9*h(j) - 5*v(j).\nAnswer: j - 3990","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 22 = 4*j, -4*c + 9*j + 14 = 7*j. Calculate the remainder when 20 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11444 and 110826557?\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8074)\/5)\/(51\/(-15) - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhy when three letters picked without replacement from {h: 2, q: 6, l: 2, y: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*3*sqrt(2736).\nAnswer: -720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d**3 - d**2)*(d + 0 + 0) + (2*d**4 - 3*d**3 + 3*d**3)*(2 - 2 - 1) - 30*d**4 + 52*d - 52*d.\nAnswer: -34*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022201 (base 3) in base 7?\nAnswer: 4636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*m**2 + 7 - 132*m**2 - 7 - 22*m to the form o + t*m + g*m**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 903\/4816 - -14*106\/(-320) and -83\/2440?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101102222000 + 2011?\nAnswer: 1101110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -8 - (3 + -1)) + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -31*n**3 - 23*n**2 + 3*n + 3. Let s be c(-1). Solve 0 = s*u - 35*u - 108 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + sqrt(891) + -4*sqrt(891))**2.\nAnswer: -54*sqrt(11) + 8020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 6. Suppose 4*g - 5*l - 34 = g, 37 = 4*g - 5*l. Let r(p) = 3*p + 11. Give g*r(h) - 5*y(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 2, u: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -479\/18 - -2971\/90. Determine i, given that -2\/5*i**2 - u*i - 128\/5 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 939*c**3 - 2554*c**2 - 3*c - 313916215 wrt c.\nAnswer: 2817*c**2 - 5108*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243a6 (base 16) to base 12.\nAnswer: 71a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 713, 2614, 5695, 9956, 15397, 22018?\nAnswer: 29819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + y + 16 = 3*i, -3*y = -3*i + 12. Suppose 0 = i*g - 2*g. Is -1\/4 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.021421? (a) 2 (b) -2 (c) 541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4*m - 4, 3*u - 61 = -3*m - 70 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 + 6*p**3 - 14*p**3 - 17*p**3 - 15*p**3 + 2*p**2.\nAnswer: -34*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011010001 + -10010100010010000?\nAnswer: -1111111110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -y + 10286, 0 = -2*y + 8*l - 6*l + 20560. List the prime factors of y.\nAnswer: 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3226*b**3 + 3800232*b**2 - 1119171858*b + 1387684 = 0?\nAnswer: 2\/1613, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 1 + -2 - (-211 + 213).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + -20430?\nAnswer: -20452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 - -64. Let k be (l\/(-40) - 1) + 264\/(-5). Let m = -53 - k. Sort 3, m, 2, -2 in increasing order.\nAnswer: -2, m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(1 - (3 + -1)). Is 1\/18 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 37. Suppose -3*n - s*o + 13 = 0, -4*n + 6 = -3*o - 0. Calculate the lowest common multiple of n and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 9:16 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 56540 = -89*q + 606*q for q.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(-3 + sqrt(45)\/sqrt(9) + -3).\nAnswer: -5*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -44. Let d(w) = -3*w**2 + 24*w + 4. Let m be d(n). Suppose -m*k + 27 = -1. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*j = 41 - 16, 0 = -2*h - 3*j + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13787.\nAnswer: 17, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/12 + b**3\/2 + b**2\/2 + 4*b. Suppose -5*z + 1 - 7 = s, -5*s - 3*z + 14 = 0. What is i(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26900 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98374174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-3 + (-24)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -390 or -382?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-9 + 319\/33)*(-3)\/10). Solve -2*w - 5*a = -20, 3*w + 4*a + s - 21 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 7*i**2 + 1009*i - 8926. What is n(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*f + 67 = 338*f + o, 3*f = 3*o + 189. What is the lowest common multiple of f and 234?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -8. Suppose 244175 = j*h + 5*f, 0 = 19*h - 18*h - 2*f - 48835. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -26?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 11 - 14) + 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8691 + -5050. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57734987 by 5.\nAnswer: -57734987\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-5)*6\/(-24)*-10. Let s(d) = d**2 - 13*d + 10. Calculate s(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d - 4. Let x be b(-10). Let z = -76 + x. What is the tens digit of 4\/10 + (-408)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 5. Let a(z) = -1. Let v(k) = -2. Let i(j) = 5*a(j) - 2*v(j). Let w(c) = -6*i(c) + x(c). What are the prime factors of w(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*v + 58*v = 0. Solve v = -16*y + 8 + 56 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 13 + (0 - 3). Let r(x) = -x**3 + 3*x**2 + 3*x + 2. Calculate the remainder when 52 is divided by r(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 0)\/(-2 - -3). Let s be -22*(0 + -1)\/(x\/(-6)). Calculate the greatest common factor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 3*f - 16. Let u be -14*(3 - 20\/8). What are the prime factors of h(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p**2 + 2*p**3)*((1 - 5 + 2)*(-3 + 0 + 4) - 1 + 3 + 0 + 25 + 37 - 3).\nAnswer: 118*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3159 = 4*z + s - 154, z + 2*s = 823. Calculate the remainder when z is divided by 244.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let a(i) = 24*i + 32. Suppose -8*t + 7 - 12 = -3*t. Calculate t*a(n) + 32*u(n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 25*w + 1. Let z(f) = 7460011*f**2. Determine h(z(o)).\nAnswer: 186500275*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 4*u - 322*u**2 + 2*u + 5*u.\nAnswer: -322*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8cb69 (base 16) to base 9.\nAnswer: -1067551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 13\/7 of a week?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.16 (b) -1\/2 (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3487.\nAnswer: 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 2*f + 166 = -56*y, -5*y - f = 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -538842597 minus -4350?\nAnswer: -538838247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - -10 - (-30)\/(-5). Suppose f*n - 5 = 10*n, 0 = -2*b + 4*n + 66. Round b to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i + 585. Let g = i + -115. Suppose g*c - s = 4*s + 23, 0 = c + 4*s + 8. Solve 3*p + 3*w + c = p, -5*p + 2*w = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -64\/105*i**7 + 0*i**4 + 0*i + 0 + 0*i**5 - 130*i**2 + 0*i**6 + 124\/3*i**3. Differentiate q(d) wrt d.\nAnswer: -512*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1015)\/480*-8 - (-2)\/24. Let c(k) = k**3 - k**2 - k + 8. Let s be c(0). Solve 23 = s*t - u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**5\/3 - 34*u**4\/3 - 265*u**3\/3 - 200*u**2 = 0.\nAnswer: -24, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-8)\/(-5))\/((64\/10)\/(-16))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haj when three letters picked without replacement from {n: 2, j: 3, h: 3, a: 8}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 6*c + 10 = 0. Let h(v) = 9*v**2 + 26*v - 6. Let y(m) = m**3 + 14*m**2 + 10*m - 8. What is the remainder when h(c) is divided by y(-13)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1474 - 205?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -0.4, -0.03, 1133\/8?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3543680.\nAnswer: 2, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 2*j - 1. Let w be h(1). Suppose y = -w*y + 65. Let p = 8 - 3. What is the remainder when y is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from pyssssspbpsbbbbsbs?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -3400?\nAnswer: -3387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30361343 is divided by 156.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19469961 rounded to the nearest 100000?\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1828833026?\nAnswer: 2, 157, 5824309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(272)*3.\nAnswer: -4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = -5*t, 3*t + 2 + 10 = 4*i. Let b(r) = -2*r**2 + r. Calculate b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 69. Let x = q + -21. Let j = x + -47. Which is the third biggest value? (a) -3 (b) j (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 160*m**2 - 1358*m + 89. What is c(151)?\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28601 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -21*g**3 + 17*g**2 + 17*g + 17. Let h(t) = 7*t**3 - 6*t**2 - 6*t - 6. Give -17*h(a) - 6*w(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a + 175. Let y be x(20). Let g(u) = 3*u**2 + 5*u + 9. Let b be g(-6). Let s = b + y. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/29, -3\/7, 0.043, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 712, -7 in increasing order.\nAnswer: -7, 5, 712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3199, -2079, 961, 6881, 16641?\n\"Answer: 160*v**3 - 3359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/((-3)\/(-45)). Suppose 0*n + 5*n = -j. Let m be 6\/(n - -3) + -2. Is 1 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2474, -2969, -3762, -4853, -6242?\nAnswer: -7929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*b - 37163 + 38268 = 0 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.45534 - 323952.636\nAnswer: -323955.09134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62177623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -34*l + 19. Let h be a(-4). Let v = 43 + h. Suppose -3*q + 4*f = -v, 45 + 20 = q - f. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 93*b - 90*b - 4*t, 3*t - 14 = 5*b. Let v(r) = -50*r**2 + r + 1. Determine v(b).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.06, -2, 40, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 780\/17, 1.1, 245?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -117. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2472? (a) 0.3 (b) -1842 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:57 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.5 + -48. Which is the third smallest value? (a) -0.2 (b) i (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 3\/(-6)*2. Let d = 4 + 1. Let i be ((-3)\/4)\/((-1)\/(-4)). Sort v, i, d in descending order.\nAnswer: d, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k = -77*k + 253798. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009610031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16643536 and 8946?\nAnswer: 149791824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 5:33 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417597?\nAnswer: 1417597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -374*a - 1882. Let f be q(-8). Is 1113 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 3*p. Suppose -5*u - 11 = p. Let w be (2\/(-12))\/(1\/u). Which is the closest to 0.1? (a) 5 (b) w (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9873.2 + -9873. Which is the nearest to -1\/3? (a) 2\/3 (b) m (c) -41 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-2) + -2)*0. Suppose 0 = -4*o - c*o - 16. Sort o, 4, 3 in decreasing order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 8*f + 12, 5*p + 37 = 60*f - 63*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 54*s**2 + 60*s - 22. What is the smallest common multiple of r(28) and 21?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10604369 and -23.\nAnswer: -10604392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 434 - 181. Let r = -2501 - -2268.6. Let u = p + r. Round u to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34729, -34712, -34695, -34678, -34661, -34644?\n\"Answer: 17*f - 34746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*z**2 - 2*d**3*z - 2823784*d**3 - 3*d**2*z**2 + 26692*z**2 wrt z.\nAnswer: -6*d**3 - 6*d**2 + 53384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 185*z**2\/2 - 208*z + 80. List the prime factors of x(5).\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18974, 37950, 56892, 75782, 94602, 113334, 131960, 150462?\nAnswer: 168822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 9:14 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 770*f.\nAnswer: -2*f*(f - 385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4, 0.6, 75\/7, 1\/6, 2\/5 in increasing order.\nAnswer: -4, -1\/4, 1\/6, 2\/5, 0.6, 75\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105243 - -204?\nAnswer: 105451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*w + 15 = 6*r, -5*r + 50 = 5*w. Suppose r*l = 323 - 103. Let z = 9 - 5. Calculate the highest common divisor of z and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 410, 369, -4 in ascending order.\nAnswer: -4, 369, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskrusu. Give prob of picking 1 s and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5525\/23752?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 48*n**2 - 68*n - 120.\nAnswer: -4*(n - 10)*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(6\/((-72)\/156))?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*k**2 + 7*k**2 - k + 9*k**2 to the form l*k + d + t*k**2 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2081.58 + 2110. Let g = -27 + u. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 15. Suppose -49 - 179 = -i*m. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/9 - 2*s**2\/9 + 131*s\/9 + 44\/3.\nAnswer: -(s - 11)*(s + 1)*(s + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9446 - 20748 = 97*l - 1533*l - 90282 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 2*k + 3. Let a be x(2). Let t = -118 - -591\/5. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99785813.\nAnswer: 61, 487, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*w = -2*t + 21, -5*w = 3*t - 19. Suppose 2*a + t*a - 10 = 0. Suppose a*s - 78 = 2*c, -191 = -4*s + c - 4*c. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3180 and 3528324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 24*v - 51. Determine y(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 5. Let x be 1 + 3 + (v - 2). Calculate the highest common divisor of x and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.2, -0.1723?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4497864 divided by -14.\nAnswer: 321276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 19. Determine q(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 24 = -n. Let a be -3 - 15\/21 - n. What is b in -8\/7 + 8\/7*b - a*b**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70826 - -100554. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -2 (c) -8 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 18*m + 797. What is v(-47)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.027 - -11.573. What is p rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7789.953 years?\nAnswer: 77.89953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1098 and 16276569.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/73515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(112))*4)**2 + sqrt(28)\/sqrt(4) + 2.\nAnswer: sqrt(7) + 2802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21559110 a multiple of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000000001111001001 (base 2) to base 8.\nAnswer: -13001711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 849274*v**3 + 9*v - 33045.\nAnswer: 5095644*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 4:32 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Suppose 0*q - 30 = -k*q. List the prime factors of (-2)\/(-3) + 38\/q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5302.9001, -3, 31?\nAnswer: 5302.9001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5995, 16798, 34803, 60010, 92419, 132030?\n\"Answer: 3601*q**2 + 2394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-292)\/(-36)*6 - (-4)\/(-6) and 20?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.6 and 804.\nAnswer: 802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688371571?\nAnswer: 688371571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 - 25 = 0. Suppose 0*y + l = 2*y. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 9*x**2 + 64*x - 48. Let p be j(6). Let w be 330\/9 + 4\/(-6). What is the greatest common factor of w and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + 1.1. What is the biggest value in a, -1, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:49 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19\/70 - 107\/910. What is the fifth smallest value in 2, 0.4, b, -1, 2\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 6. Let t(s) = s**3 + 4*s**2 - 9*s - 8. Let c be t(-5). Let d(y) = y**2 - 11*y + 6. What is the remainder when d(c) is divided by a(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041327768 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 775 and 0.5.\nAnswer: 775.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*a - 180, 0 = a - 4 + 3. Let d = -88 + g. Let w be (12\/9)\/(1\/3). Sort 3, d, w in descending order.\nAnswer: w, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -832 + 422. Find the common denominator of d\/1680 - (-2)\/7 and ((-8)\/36*-6)\/((-7)\/(-17)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 12:33 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5374629?\nAnswer: 3, 13, 71, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11363, -11362, -11361, -11360, -11359?\n\"Answer: o - 11364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1764, 0.5, 30?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-6)\/63 - (-22)\/(-231). What is the third smallest value in 2.9, b, -2\/3?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f - 52*f = -45 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1662371 - 819237?\nAnswer: -819237.1662371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29119500.\nAnswer: 2, 3, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 11 + 11)*(-4*v**4 + 2*v**4 + v**4) + 5*v**4 - v**4 - 3*v**4.\nAnswer: 13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29.8*-2\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 7*o - 3*o)*(1635*o - 3551*o + 1310*o) to the form a*o + y + b*o**2 and give b.\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/60)\/(3 + 250\/(-90)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in millimeters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*o**5*u**2 - 82*o**3*u + 22*o**3 + 5*o**2*u + o*u**2 - 6726*u**2 wrt o.\nAnswer: 360*o**2*u**2 - 492*u + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1913, 21, 5, -5 in decreasing order.\nAnswer: 21, 5, -5, -1913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37196977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 - -136. Is ((-4197)\/t + (1 - 1))*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u = 3. Let a = -33 + 55. Let j = a + u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -1 + 1\/2*4. Suppose -s*z + 145 = -284. Suppose -4*d - 5*b = -z, -d - 4*d = -b - 186. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50966161 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.5 + -3.5. Let c = t - 11. Let q = 138 + -142. Put 2\/9, c, q in increasing order.\nAnswer: q, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 16. Let a be c(10). Suppose 8*g = 33 - 1. Let r(b) = g*b - a*b - 5*b. Let m(y) = y**2. Determine r(m(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or -1.61?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/2*(-48)\/(-440). Let m = v + 76\/33. Let n = 105.94 - 106. Which is the nearest to m? (a) -0.1 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b**3\/11 + 20*b**2\/11 - 18*b\/11 + 4\/11 = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 360*z**2 + 705*z + 350.\nAnswer: 5*(z + 1)**2*(z + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33938.\nAnswer: 2, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 390 (b) 583 (c) -0.4 (d) 3\/7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 575\/1035*(-3)\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155142 is divided by 451.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s**(-2\/5))\/((s*(s*s**(4\/13))\/s)\/(s\/s**(-2\/7))) assuming s is positive.\nAnswer: s**(263\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i. Let g be n(0). Let k(h) = h**2 + 1399. Is k(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 815 + -800. Calculate the highest common factor of h and 132.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 1872?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/5, 4, 117, -1\/3, 30, -7 in decreasing order.\nAnswer: 117, 30, 4, -1\/3, -13\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 68 = 7*p. Let o = -11 + p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**3 - 88*z**2 + 23*z - 502. Let d be h(22). Solve -d*q = 4, -20*r - 13 = -25*r + 8*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1875464, 3750850, 5626236, 7501622, 9377008?\n\"Answer: 1875386*k + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.9 - 0.9. Which is the fourth biggest value? (a) -0.4 (b) w (c) -3\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683, 681, 679, 677, 675, 673?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 - 30*n + 12. Let r be c(-13). Let q = r - -447. Does 38 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 119 = -4*l + 2*l, 3*l = r - 195. Let m = 4643428\/72347 - 6\/6577. Let g = m + l. Are 1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-14))\/(((-3)\/(-5))\/((-2415)\/(-575)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4250, -34030, -114850, -272228, -531682, -918730, -1458890?\nAnswer: -2177680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2754281 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2268 and 36?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*o**3*q**2 - i**3*q**2 + 3*i**2*o**3 + 6*i**2*q**2 - 2*i*o**3*q**2 + 2*i*o**2*q**2 wrt i.\nAnswer: 12*o**3*q**2 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -353 divided by 235267\nAnswer: -353\/235267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2991502, -2991583, -2991664, -2991745, -2991826, -2991907?\nAnswer: -2991988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkk when three letters picked without replacement from ffffkmmfkm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 1. Put k, 0.1, -2\/13 in descending order.\nAnswer: 0.1, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzkaa. Give prob of picking 2 a and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2452 - -6487677404?\nAnswer: 6487674952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n - 415 = 235 + 302 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + 2*p**2 + 2*p + 2*p**3 - 5*p**2 + 7*p**2 to h*p + b*p**2 + a*p**3 + y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 5*f + 40. Let p be l(0). Let x(u) = u**3 + 9*u**2 + 8*u - 10. Let b be x(-8). What are the prime factors of ((-4)\/((-16)\/(-202)))\/(b\/p)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y\/(y*y**3))**(-45)*((y**1)**(-13))**25 assuming y is positive.\nAnswer: y**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 + s**2 - 3*s**2 + (0*s - 3*s + s)*(0*s - 2*s + 3*s) + 0*s**2 - 2*s**2 + 4*s**2 + 7*s**2 - 5*s**2 - 12*s + 4*s to v*s**2 + f*s + l and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2620\/(-4716))\/(10\/42).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccocccocooc. Give prob of picking 3 c.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74\/5 of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r + 159 + 21 = 87*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10788 - 22216\nAnswer: -33004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 1 = -4*y, -5*r + 4*y + 890 - 897 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -589*t + 183*t**3 + 589*t - 140*t**2 wrt t?\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/25)*m\/(m**(7\/4)\/m))\/((m**(-7\/3)\/m)\/(m*m*m*m**6)) assuming m is positive.\nAnswer: m**(3751\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 23040212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h + 1. Let f be t(1). Suppose 5*q - f = 2*q. Suppose j - 3*m + 3 = 0, 0*j - q*m + 1 = -3*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14525985 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10011110111001?\nAnswer: -10011110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229\/944 - 1374347\/16048. Let h = 86 + r. Which is the smallest value? (a) -0.3 (b) 0.4 (c) h (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, h: 1}. Give prob of sequence vvv.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/3? (a) 1 (b) -11 (c) -1 (d) -4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:34 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788229 is divided by 194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*b - 11, 2*b = -3*b - w + 3. Solve 2*r = -11 + b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64855295 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -3*g + 1, 3*q + 2*q = -5*g + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -50) + -4 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18943 - -0.18943. What is the third biggest value in 0.6, 17, -4, v, -2\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2644941 and 1872.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10951 and -2297553346.\nAnswer: -2297542395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 - 332*w**2 + 426*w - 93. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-19)\/(-57) + 4\/(-3))*0\/(-8). Sort 3, 342, -1, l, -5 in descending order.\nAnswer: 342, 3, l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**7\/147 + 2*x**6\/105 + 3*x**5\/70 - 4*x**4\/21 + 4*x**3\/21 - x. Find o such that w(o) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 + -53 + 107 + -13\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332 divided by -1732?\nAnswer: -833\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 926*h**5*q - 23*h**5 + 2*h*q - 14851*h + 2*q - 2 wrt h?\nAnswer: 18520*h**3*q - 460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**4 + 24*h**3 + 4*h**2 - 74*h - 16. Let p(n) = n**3 + n**2 + n - 4. Let w(t) = -g(t) + 4*p(t). What is the second derivative of w(x) wrt x?\nAnswer: 60*x**2 - 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*t - 2, 4*t = -3*y + 3 + 3. Let b(n) be the second derivative of -n**3\/6 + n**2 - 3*n. What is b(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 60?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2580000, -5160010, -7740024, -10320042, -12900064, -15480090?\n\"Answer: -2*o**2 - 2580004*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 3) in base 14?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18647 and 1.3833.\nAnswer: 0.257943951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 338*(1452\/483 - 3). Let b = -21\/46 + h. Let j = 985 - 5863\/6. Find the common denominator of j and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.834 and 235525?\nAnswer: 235526.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 40. Let h be a(-16). Let u(w) = w**2 + 6*w - 11. Let k be u(h). Suppose k*y - 7*y + 31 = 5*l, 1 = -l. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - g + 27, 2*b = -3*b - 2*g + 29. Suppose 4*w - 27 = b*w. Sort 5, 0, w in decreasing order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 26240*i**5 - 984010*i**4 + 2243895*i**3 + 1875305*i**2 - 1378315*i + 525 = 0?\nAnswer: -1, 1\/2624, 1\/2, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-6 + 3 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 4, n: 2}. What is prob of sequence nh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - 33. Suppose 15*b = 4*b - z. Suppose -12*p - 24 = -6*p. Sort b, p, -5, 0 in decreasing order.\nAnswer: 0, b, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 15*v**3 + 2*v - 2*v.\nAnswer: -15*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -266805*u + 1155. Let l(x) = 4169*x - 18. Give -6*c(w) - 385*l(w).\nAnswer: -4235*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -212 (b) 24 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 2:04 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2935)\/1174)\/((-1)\/5*15\/18).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 24498. Let b(k) = -11*k**2. Determine y(b(x)).\nAnswer: -11*x**2 + 24498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-6 - 2 - -4) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*d - 18. Let a = d - 6. Solve l + i = -7, -5*l + 4*i - 6 - a = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 2750122*t - 2750122*t - 5*t**3 + 3*t**3 + t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2341479173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 15, -56 = 4*r - 4*d. Let b(q) = -112*q - 43. Is b(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3828.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 179 = -56. Let w(o) = 4*o**2 - o. Let d be 2 - (3 - 1 - 1). Let z be w(d). Solve -r = z*c - 14, 5*c + 4*r + 12 = s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*c - 145*c + 450*c - 154*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 0.5 (b) 2 (c) -42 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j = 9. Let r = 5 + j. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109962 and 1081662?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0*b**2 - 2 - 3*b**2 - 2*b + 0*b**2 - b**2. Let l(i) = 15*i**2 + 8*i + 9. Let r(w) = 9*h(w) + 2*l(w). What is the second derivative of r(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117838139.\nAnswer: 117838139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -4.901\nAnswer: 24.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421.3187 centimeters to meters.\nAnswer: 4.213187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -122*g - 125*g + 256*g. Let t(k) = -5*k + 1. Determine c(t(r)).\nAnswer: -45*r + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*p**5 - 2*p**3*w + 25*p*w - 3*p wrt p?\nAnswer: -220*p**3 - 12*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.64 + 1.36. Which is the nearest to -0.1? (a) -5\/6 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, -1\/4, 4\/7, -17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -547*b + 27*b - 342*b + 182*b. Let t(p) = -2*p**2. What is t(k(r))?\nAnswer: -924800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 3*y + 4. Is i(-3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -204.99 + 205. What is the second smallest value in -1\/6, c, 0.18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 7. Let a be c(4). Suppose d - 7 = -2*o, o - a*d = -3*o - 11. What are the prime factors of 4*(o - 0) - -60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) - -3*sqrt(378)*2)\/(sqrt(60)\/sqrt(160) - (sqrt(36) + (sqrt(36) - sqrt(144)\/sqrt(4) - sqrt(36)))\/sqrt(6)))**2.\nAnswer: 49392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 9\/6*-2. Let t be f + (-3)\/(-1) + 11\/(-11). What are the prime factors of 16\/((-192)\/(-90))*176\/t?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from agnagnngggggna?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**2. Let d(j) = j + 5. Let x be d(-7). Let o(f) = f**2 - f. Let t(q) = 2*q. Let w(v) = x*o(v) - t(v). Give w(k(u)).\nAnswer: -98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 s when three letters picked without replacement from xsyyysxkgyyyxxss?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 16415911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**4 + 8*n**2 - 8*n + 14. Let p(b) = -b**2 + b - 1. Let g(q) = -8*p(q) - z(q). Differentiate g(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 35 - 23. Solve 0 = -m + 5*z - 4, -2*m + 0 - 2 = -t*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 4. Let b = -41 + 166. Let r = b - 628\/5. Sort r, v, 3\/8 in ascending order.\nAnswer: v, r, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:48 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 360 - 100 = 5*v, 2*v - 69 = 5*r. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 1. Let w(a) = a + 1. Let x(o) = 2*d(o) - 3*w(o). Let v be x(-7). Let g = v + 14. Solve -3*q + g*q + 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923813187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/30 - s**5\/30 - s**4\/24 + 2*s**2. Let i be b(2). Calculate the highest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51024, -51025, -51026, -51027?\n\"Answer: -f - 51023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -197*i**2 - 11239*i - 574. Give k(-57).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -330122 (base 6) to base 14\nAnswer: -9d18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 1. Let o be c(-3). Suppose 0 = -3*m, -3*g - 2*g + 3*m = 15. Put o, g, 8, 5 in descending order.\nAnswer: 8, 5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Suppose b + 4*b - 15 = t. Suppose x - 104 = -b*x. Solve 6 - x = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2174824*a*r**3 - 4593*a*r**2 + 10*a*r + 2*a + 2*r**3 wrt r?\nAnswer: 13048944*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 730358*o*p - 10*p - 4463 wrt o?\nAnswer: 730358*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m - 3. What is the units digit of m*(-2)\/(2\/(-19))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/20 + 2*h**4\/3 + h**3\/3 + 11*h**2\/2 + 2*h + 24. Is m(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 26 = 6*g. Let k be ((-23)\/(-6) - g) + 9238\/2160. Let i = 86\/27 - k. Calculate the common denominator of 69\/10 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 42. Let h(w) = -45*w**2 + 4. Calculate h(c(o)).\nAnswer: -45*o**2 + 3780*o - 79376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2348521.\nAnswer: 7, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -5 - (-1 - 1) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.289 + -0.011. Let a = -4.1 + d. What is a rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -15. Let d(q) = q**2 + 2*q - 20. Let b be d(-6). Suppose 3*x - 52 = -b. What is the lowest common multiple of x and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 + -9)*1\/2. Suppose s = 12*g - 3*g - 55782. Suppose -8*o + 4130 = -g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4878115405.7443 + 4878920413. Let p = x + -804183.2. Let v = p + -824. What is v rounded to three decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95774585.\nAnswer: 5, 971, 19727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2650746 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -128.024 and -510?\nAnswer: 381.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/6 + 3\/6. Let z = -0.04 + 3.04. Which is the closest to -0.1? (a) k (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35053 - 34342. What is the greatest common factor of b and 3397?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/((-11)\/792). Let l = -24 - p. Let h be (8\/(-5) - -2)*30. What is the highest common factor of l and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, r: 3, w: 2, o: 2}. What is prob of sequence vwwr?\nAnswer: 13\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-60)*(-1)\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llxlxxxxxxxxxx. Give prob of picking 3 l and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*v, -2*l + 19 = -4*v + 49 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a89 - -292?\nAnswer: -17a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5880679 and 14.\nAnswer: 11761358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = q - 2, 0 = 2*s + 3*s - 5*q. Let u = 2 + s. Let g = 744 + -742. Solve 3*v = g*v + u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 times 149.2\nAnswer: -47.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2562, -10243, -23044, -40965?\nAnswer: -64006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.35 - 47.35. Let u = -7888236 - -7888283.000155. Let w = g + u. What is w rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37857831 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)*o**(1\/18) assuming o is positive.\nAnswer: o**(-287\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/5)*r)**(-35\/4)*r*r**(-6)*r**(-1\/2))**(1\/19) assuming r is positive.\nAnswer: r**(-53\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 61480\nAnswer: 1\/30740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**2 - 9*k - 16. Let y(s) = 2*s**2 + s + 1. Let d(x) = w(x) + 3*y(x). Let l be d(10). What is the greatest common factor of l and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2883.1 and -0.5.\nAnswer: 2882.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 32, -5, 1\/10 in ascending order.\nAnswer: -5, 1\/10, 0.2, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b**2. Let k(r) = 2*r**2 - 12*r + 22. Let i be k(4). Let z(v) = 14*v. Let o(m) = -m. Let d(u) = i*o(u) + z(u). Calculate d(t(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 571 (b) -0.5 (c) 1 (d) -2\/89 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i. Let v(u) be the third derivative of 0 + 3\/20*u**5 + 0*u**3 + 0*u**4 + 0*u - 15*u**2. What is v(f(j))?\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35558 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*b - 25931*b**2 - 45*b + 25962*b**2.\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 52. Solve 2 = s*v + 2*w - w, 2 = 2*v + w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -35) + (0 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 48 = -2*m + j, 1 = -j. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 - -72.6. Let v = -67 + z. Which is the third biggest value? (a) v (b) -0.1 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*x - 36, 4*c = 2*x + 13 + 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q + 144 = 0. Let p = 17 - 13. What is the units digit of (2 - 230\/p)\/(18\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97097147 times 2\nAnswer: -194194294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.859.\nAnswer: 3.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y\/(y**(2\/13)\/y))\/y*y**(1\/2))\/(y**(-16)\/y*y\/(y*y\/y**(-11))))**(-41\/5) assuming y is positive.\nAnswer: y**(-34481\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5 and -79\/8538?\nAnswer: 42690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 4589 (c) -58 (d) 23 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12515578.\nAnswer: 2, 41, 152629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 630, 3302, 8834, 18108, 32006?\n\"Answer: 147*l**3 + 548*l**2 - l - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31845 is divided by 176?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 17*j - 7. What are the prime factors of v(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 414.5 and -11?\nAnswer: -4559.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1017*o + 12138. Give t(12).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12408606.\nAnswer: 2, 3, 7, 17, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*3087446.\nAnswer: 92623.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -192 (b) -33\/10 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*y = -5*w + 1176, -y = w - 237. What are the prime factors of w?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**6\/15 + j**5\/2 + 5*j**4\/6 - 5*j**3\/3 - 6*j**2 - 3*j + 5. Suppose n(c) = 0. What is c?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/30 + t**3\/15 - 8*t + 16. Let w(c) be the first derivative of h(c). Factor w(a).\nAnswer: 2*a*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 38*t**2 - 35660*t\/7 + 2144\/7 = 0.\nAnswer: 8\/133, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/2*5\/30*4. Suppose 36 = -0*n + 4*n. Is n greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:30 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2976*x - 4361*x - 56 + 56 to t*x + s and give t.\nAnswer: -7337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86116791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1557 and 0.3?\nAnswer: 467.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 783 = 5*f + 1322, -4*f - 10483 = -5*k. Suppose -5*b + 4*o - k = -8*b, -2120 = -3*b + o. What are the prime factors of b?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n + n)*(-5 - 27 - 11).\nAnswer: -86*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**8\/336 - d**4\/24 + d**2. What is the second derivative of v(c) wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3 - 14 - 5 + 0 - 4*a**2 - 16*a = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 215 + 5f?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 47*j**2 - 3*j + 30 - 48*j**2 + 5*j. Let f be a(0). Is (6\/(-5))\/((-6)\/f) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 22*y + 14. Calculate v(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 452453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 4, w: 16}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 - 5*n - 6. Let w(l) = -3*l**2 + 4*l + 5. Suppose 0 = -v - 3, 0*u - 5*v = 4*u + 31. Let x be (0 - 4\/u)*-6. Determine x*w(c) - 5*d(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 3. Let r(h) = 21*h - 124. Let a be r(6). Let j(l) = l**2 - 3*l - 4. Determine a*j(d) - 3*o(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -7*h + 7782. Let m(u) = u - 35899 - 7992 + h. Let b be m(0). Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113\/2 + -57. Which is the nearest to -1\/2? (a) -0.1 (b) m (c) 0 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1432 = 2*s + 3*i, 0 = -4*i. Let v = 39 - s. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1976832 is divided by 3891?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**4\/12 + a**3\/2 + 2*a**2. What is the first derivative of t(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**2 + 19*x**2 - 21*x**2 - 22*x**2.\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*sqrt(96)*-4)\/sqrt(6))\/((-4*sqrt(1152) + sqrt(1152))*2).\nAnswer: -4 - sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332 + -45. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -397 - -327. Round b to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430499 less than 430501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 53 - 4. Let q = x + 45. Calculate the highest common divisor of 65 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409150795.\nAnswer: 5, 13, 89, 243587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*y**2 + 105*y**2 - 52*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127250 and 500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 535084 - 5*v**3 + 3*v**4 - 535085 + 0*v in the form s*v**4 + k*v + w*v**3 + i + f*v**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24785175 is divided by 97?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8117, 16234, 24351, 32468, 40585, 48702?\nAnswer: 56819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 0*n - 5*n)*(-4 - n + 4)*(-2 - 3 + 7 + 7*n**2).\nAnswer: 7*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*i**4 + 4721*i - 1974873*i**5 + 2*i**3 + i**3 + 1974879*i**5 wrt i?\nAnswer: 120*i**3 + 108*i**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 105, 7, 1.\nAnswer: 1, 3, 7, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x - 67*x = -124. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - z - 238 = -11*j, 0 = -j + 2*z + 53. Sort 10, -2\/3, j, 3\/5 in decreasing order.\nAnswer: j, 10, 3\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m + 0*m)*(-3*m**2 - 5*m**2 + m**2) + 5 - 5 + 2*m**3 - 6*m**3 + 3*m**3 + 0*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 4*n - 3. Let d be j(4). Let x be ((-2)\/d)\/(1\/30). Let v be ((3\/(-1))\/(-1))\/((-9)\/(-420)). Calculate the highest common divisor of x and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -6. Let v be 16\/3 + 4\/6. Let r = v - j. Solve 8 + r = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600245 to the power of 1\/2, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11888*o - 16671.\nAnswer: 11888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -546 - -547. Solve -8*n + 7*n = -l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-18 - -30) + 3 + 2) - 2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*h + 7 = 0. Suppose h = 4*w - 7. Suppose w*q - x - 14 = 0, -5*q - 28 = -9*q - x. Calculate the lowest common multiple of q and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246608639 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 23. Let k be c(26). Suppose -562 - 101 = -k*d. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - m + m + (-2*m + m - 4*m)*(722*m - 356*m + 476*m + 3 - 3 + 2*m + (0 - 2 + 0)*(1 - 2*m - 1)).\nAnswer: -4242*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 - (-21)\/4. Suppose 0 = -3*n + 8 + 4. Suppose 0 = 4*m + n. What is the nearest to m in v, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(2\/3)*v)\/v)*v)**(3\/10)*v**(5\/4)*v**8 assuming v is positive.\nAnswer: v**(187\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(65)\/sqrt(5) + (1 + sqrt(13) + 5)**2.\nAnswer: 13*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -2925, -427 in ascending order.\nAnswer: -2925, -427, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 4}. What is prob of picking 1 l and 3 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530913299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, t: 14}. What is prob of picking 3 t and 1 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.075 (b) -16 (c) 5 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x - 3*x + x - x + 0 + 0 + (4*x + x - 4*x)*(3 + 0 - 5) + 2*x + 0*x - x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 25 = -46 - 13. Solve -8\/5*x - 2 + 2\/5*x**w = 0 for x.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34276658, 34276657, 34276654, 34276649?\nAnswer: 34276642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 5*w**2 - 4*w. Let g be f(6). Let t be 8\/g + 2\/(-2). Sort 0.2, -3, t in ascending order.\nAnswer: -3, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -423*r**3 - 154639*r**2 - 126475729*r wrt r.\nAnswer: -2538*r - 309278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2041 or 2044?\nAnswer: 2041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21484171 is divided by 1028?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -2\/3*g**3 + 0*g**2 + 197\/4*g**4 + 265 + 7*g. Find the third derivative of y(d) wrt d.\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 41\/(-164) + (6\/(-8) - -2). Which is greater: h or 15\/23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p, 3*b + 4*p - 2*p = -3. Let i = b - 5. Is (-1)\/i + (-1267)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165150247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228)*-2 - sqrt(228)) + sqrt(228))*-4)\/(sqrt(60)\/(sqrt(15)\/sqrt(3))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11615\/4646)\/(-34*10\/(-48)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8716 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: Let y(b) be the first derivative of -b**8\/1680 + 5*b**4\/24 + 5*b**3\/3 - 4. Let h(a) be the third derivative of y(a). Find the first derivative of h(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 28 + 101 = -4*a, -a + 3*m = 7. What is the units digit of a*2\/4*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6849641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/12 - 5*h**3\/6 + 2*h. Let o(r) = -r**3 - 2*r**2 + 33*r - 6. What is the least common multiple of o(-7) and j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2)*(-242)\/(-10). Let h = s + 22. Find the common denominator of -91\/10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 769, 119671, -3 in decreasing order.\nAnswer: 119671, 769, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354 (base 10) to base 12.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**4\/4 - g**3 + 2*g**2 - 2*g + 5. Let h be n(2). What is the tens digit of 50\/h*(-12)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767 - 83 = -92*h + 622 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20673584*m**2 + 10336618*m**2 + 10336964*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134331032 + -32?\nAnswer: -134331114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -41 + 11. Is -11 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 775 + -17059\/22. Let v be 10\/(3\/(3\/11)). Let w = h + v. Which is the second biggest value? (a) 18 (b) w (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -131.\nAnswer: -42\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let f be (-810)\/(-81) + 0 + 0. Suppose 3*m = -d - d + 14, s*m = -2*d + f. Calculate the remainder when 14 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -30*v + 3. Suppose -2*x + j - 92 = -33, 4*j - 20 = 0. Let w = x + 26. Let r be f(w). Calculate the highest common factor of r and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*a - 6, 5*q + 6*a = 3*a + 9. Solve -2*r - 13 = -7*r + 3*o, q = 2*r + o - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 4) + -4 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -263 + 176?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 110, 107, 102, 95, 86?\n\"Answer: -s**2 + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/8 (b) -1\/4 (c) 15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -4*(327\/(-42) + 3)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*u + 89, -86 = 2*i - 3*i + 4*u. Calculate the remainder when i is divided by 103\/618*9\/2 + 77\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*r**3 + 49*r**3 - 99*r**3 + 7*r**3.\nAnswer: -181*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (-6 - ((-9 - 7) + 13))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.42. Let v = a - -4.78. What is the nearest to -0.5 in v, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(9 + 0 + -16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2166)\/(-684) + (-10)\/(-12). Let c(g) = 5*g**2 - 3*g + 5. Let i(p) = 2*p**2 - 2*p + 2. Give l*c(v) - 9*i(v).\nAnswer: 2*v**2 + 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 635 + -637. Suppose j + 2 = k - 1, -30 = -5*k + 2*j. Let x = k - 4. Which is the smallest value? (a) -2\/7 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46610 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l = 2*p - 9, -20 = -5*p - 2*l. Let o(u) = 4*u - 1. Let k be o(p). Is (-1)\/(0 - 1\/k) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -785427 by -261809.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/1001 and -83\/151242.\nAnswer: 1663662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/153, -3\/7, 2\/9.\nAnswer: -3\/7, 14\/153, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/14150 and -37\/338450?\nAnswer: 95781350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 (base 7) in base 3?\nAnswer: 22112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**4 - 386*f**3*y**3 - 2*f*y + 2*y**3 + 10*y**2 - y wrt f?\nAnswer: -60*f**2 - 2316*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 57\/(-72)*-8)*(-15)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 271614749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41250, 41239, 41228?\n\"Answer: -11*k + 41261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493*d - 497*d = -16. What is the biggest value in d, 19, -2\/7?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(108) + 2*(sqrt(108) + sqrt(108)*-2 + sqrt(108)) + sqrt(108) + 3)*-2*-5)**2*-5 + -4.\nAnswer: -1984504 - 324000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -253\/442 less than -0.0047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**2 - 575*k - 1117. Determine g(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2342+-33635900.04\nAnswer: -33638242.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Let s = 144 - 1011\/7. Which is the second smallest value? (a) d (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1491\/45313 - 1\/401. Let l = u - -6227\/339. What is the common denominator of l and 79\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -459984 divided by 114996\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14070 and 532650?\nAnswer: 3728550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/37 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-18)\/4)*3)\/(1344\/(-11424))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 17. Determine y(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -481*h + 4069. Let q be t(8). Solve -216*a + 10 = -q*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*i - 123 = 0, 0 = -3*r + 53*i - 40*i - 14*i + 37 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7845.16 + -7845. What is the second biggest value in -17, m, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65671990 to the nearest integer?\nAnswer: 8104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 72, 37, 0, 6 in increasing order.\nAnswer: 0, 6, 10, 37, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*x - 167*x + 10. What is the hundreds digit of (3 - x)*5 - -195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -1 + (777 - 756).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f\/(f*(f*f\/(f*f**(-1)\/f))\/f)*f))\/f)\/f*f)**(-30))**(-1) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 5*m = -216. Let z = m + -20. Suppose -6 = -4*h + z. What is the greatest common divisor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.1, -4, 3, -2.1, -5\/2 in descending order.\nAnswer: 3, 0.1, -0.5, -2.1, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460, -512, -564, -616?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 4 + 0*c**2 - 3)*(84*c**3 + 54*c**3 + 85*c**3).\nAnswer: 223*c**5 + 223*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 c, and 1 d when three letters picked without replacement from jjjwjjjwjwjwwwdcdj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 75 = -3*s, 33 = 3*q - s - 30. Let l = -25 - -18. Let c = q + l. Calculate the remainder when 29 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Suppose -t = s + 4*d, -4*d = s - d. Suppose a + 2*a - 2 + 4*a**3 + 1 + a - a**4 - s*a**2 = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 729279613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x + 0*x)*(47*x**3 - 47*x**3 + 4*x**4) - 3*x**5 + x**5 + 4*x**5.\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 83, 137, 195, 257?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - 4*x**4 + 3*x**4 + (-4*x - 2*x**2 + 4*x)*(-1 + 1 - x**2) + 3*x**3 + 4*x**4 - 3*x**3 + 3*x**3 - 3*x**3 - x**4 + (2*x - 4*x + x)*(2 + x**3 - 2).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4770\nAnswer: 2\/2385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -161030425 and 1324?\nAnswer: 161031749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 451065 in -3, -9\/4, -4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -254 (b) 2\/7 (c) 0.09 (d) -2\/7 (e) -3\/283\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 11 - (2 - -9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3 - 2 + 3*a + 0. Let d be p(5). Calculate the greatest common factor of 144 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 22 - (-2 - (0 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n - 10*n**2 - 2*n + 5*n**5 - 15*n**3 + 0*n**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.62 (b) 0.1 (c) -1 (d) 0.5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 2)*3 + 1. Let a(i) = 0*i**2 - i**2 - 16 + o. Let l(f) = f**2 - 5*f. Let c(h) = h**2 - 3*h. Let x(b) = -5*c(b) + 3*l(b). Give x(a(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8540*w - 11645*w - 12245*w - 6688*w to p*w + u and give p.\nAnswer: -22038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12010000 (base 3) to base 8\nAnswer: -7216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**32\/z**8)**(10\/11))**(-42))**9 assuming z is positive.\nAnswer: z**(-90720\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 185.33, -4\/5, -1\/21 in descending order.\nAnswer: 185.33, -1\/21, -4\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.112019313 to 2 dps.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31391 is divided by 15505.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303854682?\nAnswer: 2, 3, 50642447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/19)\/(o\/((o*(o**(-5)\/o*o)\/o)\/o)*o*o))\/((o*o**(-9))\/((o\/(o*o**(2\/3)))\/o)) assuming o is positive.\nAnswer: o**(-146\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -519*f - 1016. Let j = 352 + -245. What is the remainder when j is divided by o(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 47, -1\/63, -1084, -4, 2 in ascending order.\nAnswer: -1084, -4, -2, -1\/63, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6634 + 59638\/9. Calculate the common denominator of n and -3 + 545\/(-180)*-2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208507896 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -58, -62, -66, -70, -74?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2a32 (base 16) to base 11\nAnswer: -8130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-1)\/(-1) - 1). Suppose y - 4*i + 1 - 40 = 0, 3*i = -27. Let h(s) = -s**2 + 3*s + 2. Let a be h(3). Sort o, a, y in ascending order.\nAnswer: o, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 17*j + 217. Calculate s(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2 + 176*t - 2414 = 0. Calculate t.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (24\/20*100\/1540)\/((-6)\/(-28))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -6, -21, -48 in ascending order.\nAnswer: -48, -21, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/504)\/(15\/20).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129788 is divided by 483.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/88 - 750\/(-600).\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293 - 3191\/11. Factor 12\/11*k**4 - 28\/11*k**3 - 2\/11*k**5 + w*k**2 - 18\/11*k + 4\/11.\nAnswer: -2*(k - 2)*(k - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + 1 + 97 + -95.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 1, -q = 3*q - 4*v - 8. Suppose u + 0*u - 65 = 2*f, -5*f = q*u - 217. What is the remainder when u is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.67 - -0.27. Let w = -0.07 - -2.07. Let q = w + o. Sort -0.1, -2, q.\nAnswer: -2, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g - 4*g - 18*g.\nAnswer: -37*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (158\/6 - -15*(-12)\/540)\/(-2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -16*f + 1. Let b be u(-1). Let z(j) = 30*j + 6. Let s be z(-7). Let x = s - -340. Calculate the greatest common divisor of x and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 1 + 1 + 6*s**2 - 2*s**2 - 5*s**2 - 5*s**2 + 2*s**2 + s**2 + (5*s**2 - 2*s**2 - 4*s**2)*(4 - 1 - 1) + (-13*s - 186 + 186)*(-2*s + s + 2*s).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 2*i**7\/315 - i**5\/15 + i**4\/9 - i**2 - 1. Factor n(r).\nAnswer: 4*r*(r - 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 47776, -5 in increasing order.\nAnswer: -5, -3, 47776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/20 - 5*s**4\/12 + 9*s**3\/2 + 13*s**2\/2 + 93*s - 2. Let y be z(-10). What is y rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/((-50)\/4)*(-120)\/96. Which is the third smallest value? (a) -2\/15 (b) v (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + f**3 + 9*f + f**2 - 9*f + 3*f. Suppose 4*z - 14 = -5*x, 12 = 25*x - 21*x + 3*z. Let r(l) = -9*l**3 - 17*l**2 - 25*l. What is x*r(v) + 51*y(v)?\nAnswer: -3*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1186 = -6*a - 190. Suppose -8*i + a = 54. Let y be 7\/(20\/(-8) - -3). What is the highest common factor of i and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c - 6 = 0. Let q be (-1 - c)*1 - -11. Suppose 162 = 5*d - q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2084 = -0*o - 3*x, o - 2*x - 2085 = 0. Let u = o - 2087. Factor 2\/7*h**2 + 6\/7*h + u.\nAnswer: 2*h*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1333 + -10?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 7:42 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/3 - 102*c**2 + 2*c\/3 + 102 = 0 for c.\nAnswer: -153, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 584508.480301 from -5.\nAnswer: -584513.480301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 at most as big as 387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2076649?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 + 8.2.\nAnswer: 8.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/36 - (13\/(-39) + (-1575)\/36)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**3 - 2*o**2 - 3*o. Let w(g) = 5*g**3 - g**2 - 2*g. Suppose -14*b - 11*b - 75 = 0. What is b*m(k) + 4*w(k)?\nAnswer: 2*k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -44*h - 11. Let z be w(-2). Suppose -20 = 5*x, 2*t = -t - 3*x + 9. What is the highest common factor of z and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 10:28 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -309 + 311. Let d(b) be the first derivative of 0*b**5 + 2*b**3 + 0*b**q + 0*b - 1\/2*b**6 - 3 + 0*b**4. What is the third derivative of d(p) wrt p?\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 2*m**4\/3 - m**3\/6 - m. Let k(g) be the first derivative of g**3\/3 + 4420. Calculate k(b(s)).\nAnswer: 64*s**4 - 16*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 149010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 4*w**2 - 5*w - 4. Let l = -6 + 15. Suppose -4*c + c = l. Determine z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 1. Let d(j) = -j + 10. Let p(g) = -d(g) + 5*t(g). Let r(c) = -c**3 + 2*c**2 - 2*c. Let w be r(2). Does 4 divide p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8690938 to the nearest integer?\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 230 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 10:41 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 1\/70*o**5 + 1\/21*o**3 + 3*o - 1\/21*o**4 + 0 + 0*o**2. Suppose m(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -8)*-2*(-1)\/(-2). Let k be (a\/5)\/(-3*3\/30). Let f(u) = -u**2. Let c(h) = -h**2 - 1. Determine k*f(x) + 2*c(x).\nAnswer: -4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/19*(-30)\/(-45)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 take away -953?\nAnswer: 953.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 2 - 2 - 2*h)*(6*h + 16*h - h).\nAnswer: 42*h**4 - 42*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 82, 159, 238, 319?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3521 + 1?\nAnswer: -3520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 3*t + 0*t + (29 + 30 - 17)*(-t - 2 + 2) + 0*t - 5*t + 4*t)*(-3 + 3 + t).\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 101 = 116. Let y = h - 71. What is the common denominator of -31\/15 and ((-15)\/y)\/((-54)\/(-776))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -17*b**4\/6 - b**3\/3 - 2*b**2. Suppose 20 = 5*i, 5*i - 14 + 6 = -4*q. What is the hundreds digit of z(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -21013?\nAnswer: -21015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 109. Suppose -4*w - 2*w - k = 0. Let u(a) = -a**3 - 7*a**2 + 7*a - 1. Let b be u(w). Solve -b*r - 5*i - 3 = -3*r, -3 = i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3. Let a(b) = 3*b**3 + 6*b**2 - 165*b - 609. Let h(u) = -a(u) + 3*o(u). Solve h(r) = 0.\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) -6.738 (b) -1\/10 (c) 5 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13964\/1945 + -8\/389. Let z = 38\/5 + c. Put z, -0.4, 5\/3 in descending order.\nAnswer: 5\/3, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 4*d - 5. Let r(j) = -4*j + 5*j - 30 + 31. Calculate o(x) + 6*r(x).\nAnswer: -x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/11 + 2*l**4\/11 + 228*l**3\/11 + 432*l**2\/11 = 0.\nAnswer: -9, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-66 + 34) - 22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 647 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 + 12*n**2 - 20*n**2 + n + 2*n + 2*n**4 in the form z + t*n**2 + o*n**4 + y*n**3 + q*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299186684 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6882, 13773, 20658, 27537, 34410, 41277?\nAnswer: 48138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1)*(-6)\/80)\/(273\/(-2548))?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*n - 5528 = 179*n + 1243 + 4779 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14136 + -15?\nAnswer: -14154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 1, y: 5, t: 5, g: 3}. What is prob of sequence gqg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1, -35, 4 in descending order.\nAnswer: 4, 0, -1, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 430742.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.23, -12, 1\/4, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.1. Let g = 0 - o. Let y = 3.56 - 3.86. Which is the closest to g? (a) 2\/3 (b) -2\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117360 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n**2 + 10*n**2 - 1 + 1. Let q(a) be the second derivative of -a**3\/6 + a**2\/2 + 7*a. Let t(w) = w - 3. Let s(m) = -3*q(m) - t(m). What is h(s(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -200. Let g = y + 329. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:01 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204527, 204518, 204509, 204500, 204491?\nAnswer: 204482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -189, -283?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1325 - -1326. Let t(k) = -3*k + 7. Let n(a) be the third derivative of 1\/6*a**3 + 0*a + 0 - 1\/24*a**4 - 9*a**2. Calculate x*t(i) - 5*n(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-28))\/((-84)\/63 - (-46)\/48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88665, 87627, 86589, 85551, 84513, 83475?\nAnswer: 82437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:25 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/2 + 46961*p\/2 - 5759010 = 0. Calculate p.\nAnswer: -47205, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -5) + ((-4)\/4 - -3). Suppose -2*o = -2*t + 1174, 4*t + 0*o - 2352 = z*o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*l - 25 = -8*l, -3*l = 2*w - 11. Let a = w - 1. What are the prime factors of 13*a\/(-3)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248219243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 22, 1\/7, -5, 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*q - 3*x - 9, 0 = 3*q - 4*x - 12. Suppose 114 = 4*a + 2*t, -4*t + 22 + 26 = 2*a. Suppose q = n + 2*n - a. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*c + 2*v, 0 = -4*c - 5*v + 17 - 2. Suppose -h = -c*h - 5. Calculate the highest common factor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:13 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -248, -246, -234, -206, -156, -78, 34?\n\"Answer: g**3 - g**2 - 2*g - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*n - 1, -3*i - 2*i = -4*n - 9. Let h be (4\/(-6))\/(i\/(-33)). Suppose h = 4*t - 2*t. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 74 + 439*t + 172 - 67.\nAnswer: 439*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87400 is divided by 445?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*h - 2 = -3*t, -2*h = 3*t. Suppose -2*v - 18 = -t*k, -4*v = -v - 4*k + 31. Let z = v - -25. Calculate the greatest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.536 - -8.49. Let g = o + 0.046. What is the third smallest value in g, -19, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*(-9)\/(-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:06 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -4140334?\nAnswer: -4140331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 129 - g + 2*g.\nAnswer: g + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 239256\/25 - 9576. Let y = v - 1237\/50. Find the common denominator of y and 59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 2:04 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - w + 140*w**3 - 453*w**3 + 132*w**3 + 218*w**3.\nAnswer: 37*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7538544 and 676536?\nAnswer: 52769808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -5.7. Let o = 4181\/18774 - 1\/2086. What is the nearest to -1\/3 in -2\/21, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15198283.8ns?\nAnswer: 0.0000000251294375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (69\/(-897))\/((8\/26)\/(-2)). What is the nearest to 1\/4 in -5, 4, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -520, -770, -1020, -1270, -1520?\nAnswer: -1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2 + (0 - 1 - 1)*(-1 - 2 + 1))*(-1 + 8 - 2)*(2*x - 3*x + 0*x) to the form g*x + l and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.9 - 25.9. What is the closest to k in 0, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 5*m + 8*m + 5*m. Let t(f) = 238*f. Let b(v) = -212*v. Let s(a) = -9*b(a) - 8*t(a). Calculate -9*s(h) + 2*u(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 26234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 452595*f**2 + 0*f - 452551*f**2 - 56 to the form c*f + k*f**2 + n and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -7. Let d = 6 + h. What is the closest to -1 in 5, d, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 4*k - 10128 = 0. Suppose -3*w + 5*w = k. Suppose 3*s = 2*x + w, 3*s + 2*x = 2*s + 268. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-2) - 12\/8. Let k(b) be the second derivative of b**4\/6 - b**3\/6 + b**2 - 2*b. Give k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x. Let j(y) = 2768115*y**2. What is r(j(n))?\nAnswer: -27681150*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + i**2 - 2*i + 3. Suppose 65*s - 75 = -10*s. Let p(l) = -l**2 + l. What is s*v(q) + 2*p(q)?\nAnswer: -2*q**3 - q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 17*c**3\/3 - 2. Suppose -2*v + 2 = 4. Let o(t) = 1. Let f(y) = -y + 3. Let d(z) = v*f(z) + 3*o(z). Give d(x(p)).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Let y(t) be the first derivative of -t**2 - 3*t + 21. Calculate y(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60254.42 nanometers to millimeters.\nAnswer: 0.06025442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a + 2*x = -20, -5*a - 4*x = -32. Let n(z) = 1 - 1 - 2*z + a + 1. Let c be (0 - -7)*(1 - 0). Give n(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15 - (2\/(-3))\/(34\/51).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132\/917 <= -42\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4110969 is divided by 2475?\nAnswer: 2469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9556*v - 94*v**2 + 9555*v + 308*v**2.\nAnswer: 214*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 + k**2 + k**2. Let z(q) = 4*q**2 - 4 + 4 - q**2. What is z(w(y))?\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225264 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 358344 by -72.\nAnswer: -4977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 + 22*q + 12. Let m be v(6). Let n = -100 + m. Solve k + 10 = -i - 2*i, 0 = 3*i - k + n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -317, 4, 5475 in decreasing order.\nAnswer: 5475, 4, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 + 2255*s**3 - 92115*s**2 + 389745*s + 484110 = 0. Calculate s.\nAnswer: -489, -1, 6, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) + (-24)\/(-84). Solve 4*i + 4*q = u, -i - 5*q + 15 = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -3*s + 3*r - 2*r, 5*r = 2*s - 244. Suppose g + 2*l = -36, 0*g + 4*l + s = -4*g. Let k be 6\/36 + (-13)\/g. What is the nearest to 0.2 in k, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 104*k - 1959. Calculate c(29).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - d = -0*g + 30, 0 = 2*d - 2. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69775976 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*p - 6, -4*a - 5*p = -21 + 62. Let u(x) = x**3 + 3*x**2 - 4*x + 3. Calculate u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -3*t**8\/112 - 2*t**7\/35 + 7*t**6\/40 + t**5\/5 - t**4\/2 - t**2 - 12. What is a in m(a) = 0?\nAnswer: -2, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5 + 368*j**4 + 3124*j**3 - 58840*j**2 - 125600*j - 64000 = 0.\nAnswer: -80, -20, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from ccrrrrcrcirrr.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 6*q**2 - q - 3. Give p(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let f(k) = 4*k - 5. Let o(j) = -4*j + 6. Let z(r) = -6*f(r) - 5*o(r). Determine u(z(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-15)*b*b**(-5))\/((((b*(b\/(b**(-1\/3)*b))\/b*b)\/b)\/b)\/(b\/b**(-1\/13))) assuming b is positive.\nAnswer: b**(-634\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, j: 3, y: 1, l: 4, w: 3, e: 3}. Give prob of sequence wyty.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1)\/((-36)\/6 + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2398, -4797, -7196, -9595, -11994, -14393?\nAnswer: -16792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/4 + 57*j**3 - 465*j**2\/4 + 117*j\/2 = 0. Calculate j.\nAnswer: -78, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {c: 3, y: 1, q: 2, b: 5, n: 6, g: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:49 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 3*t - 2. Let u be g(2). Let z be u + 3\/(-3) + 3. Let h be 78\/(-4)*z\/(-3). What is the highest common factor of h and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 - (2 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.077376*1.8\nAnswer: 0.1392768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(729) + (sqrt(729) + 3*sqrt(729) - sqrt(729)) + sqrt(729)).\nAnswer: sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-432)\/4428*9\/18\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 4\/15, -1\/18, 2, -3\/10, 1\/4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21*v**2 - 25*v + 11. Suppose 2*u + f - 9 = 0, -u + f = -f + 8. Let h(p) = 4*p**2 - 5*p + 2. Calculate u*s(y) - 11*h(y).\nAnswer: -2*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4323843368453 - 0.8\nAnswer: -4323843368453.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267010?\nAnswer: 2, 5, 26701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let n be (26 + 1)*(-10 - 119\/(-21)). Let t = 115 + n. What is the closest to d in -3\/5, t, 0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.05 (c) -2\/11 (d) -19 (e) -213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2 = y. Suppose y*s - s = 44. Suppose -3*j + 0*l + 21 = 3*l, -4*j + 4*l + s = 0. Calculate the smallest common multiple of 6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 5:12 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -920 + 911. Let n be (-2850)\/(-120) - x\/(-12). Let k = 23 - -23. Calculate the highest common divisor of k and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 20823.8386451?\nAnswer: -20824.1386451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpz when three letters picked without replacement from {d: 2, p: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 363 and 77?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:36 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2117 divided by -29?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 17 = -v, 0 = -5*k + 5. Let m be (-210)\/27 + (-4)\/18. Let g = m + v. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 13. Suppose -4*f + 9 - w = 0. Let z(t) = 2*t**3 - 2*t**2 - 2*t + 3. Calculate z(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from fflffkfffflfrffrflf?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 0.4, 21926613, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1522828*l**2 + 2387325*l wrt l?\nAnswer: 3045656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**2. Let h(g) = 130*g**2 - 1036*g**2 - 79 + 79. What is h(y(v))?\nAnswer: -90600*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28825027, 28825052, 28825079, 28825108, 28825139?\nAnswer: 28825172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3622754207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by 1033?\nAnswer: 144\/1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.17, -2\/11, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(704) + -1)*-2*1 + -5 + 3)**2.\nAnswer: -32*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -223310 (base 5) to base 11\nAnswer: -5a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:07 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2001002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/15 - (-28)\/10. Suppose q = y*q. Let r(p) = q - 6 + 3 + p - 12. Determine r(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815301.\nAnswer: 3, 157, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-2030)\/870).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 + 220. List the prime factors of (-15 + d)*(-17)\/2.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + m**2 + 5*m + 6. Let q(j) = 4*j**3 - 2*j**2 - 9*j - 11. Let c = -5 + -3. Let y be (18\/8)\/((-3)\/c). What is y*q(o) + 11*f(o)?\nAnswer: 2*o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-2 - -2))*3\/(-3) - (-589)\/(-217)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 38*g**2 - g + 16. What are the prime factors of x(3)?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9972900 and 64575.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**1)))\/(t*t**11)*(t**(-7)\/t*t)**(-33))**(-1\/15) assuming t is positive.\nAnswer: t**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 56 + (-4 - -10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 11. Let i be q(-2). Which is the biggest value? (a) 0.5 (b) -36 (c) -5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -6076.\nAnswer: -27\/6076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y, -233 = -2*i - i - y. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2106)\/(-54)*((-75)\/3)\/25.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**6 - 4948*f**4 - 27220*f**2 - 2*f - 16 wrt f.\nAnswer: 720*f**3 - 118752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320565976?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, h: 5, s: 1}. Give prob of sequence ch.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 9*a = 0. Suppose 3*g - g - 8 = a. Calculate the remainder when 15 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 904242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*v - 10 = 0, -185*v + 24 = -181*v. Solve l = -58*s + 246 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**3 + 1\/2*j**4 + 1\/2*j**2 + 110 + 0*j. Calculate q(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1147 divided by -6288\nAnswer: -1147\/6288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 11:48 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + 5*n - 2*n)*(-2*n + 0*n + 0*n)*(-3*n - 3*n + 3*n) in the form t*n + l + b*n**3 + k*n**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h. Let x(m) = -9268 - 24*m - 57*m + 9267. What is p(x(g))?\nAnswer: 486*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*w - 349 = -b, b - 107 = 3*w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5254231 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 1. Let n(z) = -645*z**2 - 1320*z. Let m(b) = -n(b) - 12*q(b). Factor m(d).\nAnswer: 3*(d + 2)*(215*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 8*w - 32. Suppose -3*f - 33 = -3*s, 31 = 3*s + 4*f - w. Suppose 60 = 16*v - s*v. Solve -x - 2*z + 5 = 0, v = 4*x + 3*z + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1055.\nAnswer: -527.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2310.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/(((-6920)\/45)\/4). Let y = 2055\/1211 - h. Determine b so that 1\/7*b**2 - y*b + 36\/7 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(-1)*110*(-90)\/600.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*q + 27*q**4 - 63*q)*(5*q - 9*q - 4*q).\nAnswer: -216*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -679153*t**2 + 3*t + 75673.\nAnswer: -1358306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -5*g + 324. Round g to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1584824 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -1. Let f(v) = 0 - 1 - v + 11 + 9*v**2 - v**3. Let a be f(9). What is the greatest common factor of a and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*n - 2 + (2*n + n + 0*n)*(0 - 3 + 1) to the form q*n + k and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -3. Let a = 5206 + -5165. What is the remainder when a is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + l - 1. Let v(r) = -3*r**2 - 18. Let k(c) = -4*i(c) + v(c). Let o be k(-7). Suppose 5*u = 57 + o. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 33 + -5 + -24?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(324)*-6).\nAnswer: -sqrt(2)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3\/79 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 349\/6. Let j = -245.2 + 244.9. What is the closest to 0 in -1\/18, j, m?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-2\/13)*x))\/x)\/x*x*x*x**(1\/3)*(x*(x\/(x\/x**10))\/x)\/(x*x**(8\/5)*x) assuming x is positive.\nAnswer: x**(1148\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1004537571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/(-32) - (-2 - 0 - 3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210714?\nAnswer: 2, 3, 7, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 13)\/3 - (-133 + 134).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2 - 17*v**2 + 6*v + 46*v**2 - 13*v**2 - 10*v**2. Let j(z) = 4*z**2 + 4*z - 1. Determine 8*j(s) - 5*p(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 98 - (-6 + 1) - 9. Calculate the highest common divisor of 235 and h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -599\/6866 or 0?\nAnswer: -599\/6866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 142222828 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*u + 85 + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6936, 13868, 20790, 27696, 34580?\nAnswer: 41436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4180)\/(-6) - ((-4)\/3 - -1). Let h = 7625\/11 - m. What is the common denominator of h and 23\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 271*w. Let z(u) = 22*u**2 + 25. Give z(i(l)).\nAnswer: 1615702*l**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x = 2*u + 10, -10 = -5*u - 5*x. Suppose r + r = u. Suppose y + f - 6*f - 38 = r, 3*y = -2*f + 148. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (0\/4)\/4. Suppose x - 8 = -b*h, x + 2*h = -2*h + 12. Solve 0 = x*r + r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 62*w**2 - 13*w + 25. Let o be z(2). What is the highest common divisor of o and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a + 5*w, 3 = a - w - 0*w. Suppose a*q + 2*q = 20. Suppose -y + 15 = 3*o, -q*o - 86 = -4*y + 38. What is the remainder when 53 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Suppose 4*q + 16 = k*h, 3*h = 4*h - q - 4. Suppose -5*p - d = -h*d - 7, -5*p + 5*d - 5 = 0. Solve -3*j = y - 11, -y - p = -j + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**3 + 0*l**4 + 0*l**3 - 2*l**2 - 10*l**3 - 4*l**4 + 2 as m*l + u + s*l**3 + r*l**2 + p*l**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15486 and 12816.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from qqooqoyyooyq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13555*i + 13555*i + 18*i**4 + 23*i**2)*(4 - 2 + 3) as n + w*i**2 + g*i + k*i**4 + t*i**3 and give w.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 9*p**2 + 6*p. Let d be i(-7). Suppose -14 - 10 = -5*t + 4*h, 4*h = -5*t + d. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-51 + 54) - 56?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 2. Let d be h(1). Let x(z) be the first derivative of -z + 0*z**4 + d*z**2 + 0*z**3 - 2 + 1\/5*z**5. What is the derivative of x(n) wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(66)*-2 + sqrt(66)) - sqrt(66)) + sqrt(66)*2*-4)\/((-2*sqrt(66))\/sqrt(11) - 2*sqrt(18)\/sqrt(3)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 2 + 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394058 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*12\/30 - -7. Suppose 10*z = 13*z - 48. Let x = z - 12. Which is the second biggest value? (a) n (b) x (c) -0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002141 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1168, 2353, 3534, 4705, 5860?\n\"Answer: -z**3 + 4*z**2 + 1180*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Suppose -14 = -3*r - 5. Let w be ((-112)\/(-10))\/4 - r. Which is the second smallest value? (a) u (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.1, 158, -2.71, -1\/5?\nAnswer: -2.71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = -4*g - 0*g + 2*n, 3*n + 322 = 5*g. What is the remainder when g is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2350 by 1019.\nAnswer: -2350\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 + 102092*m + 918666 = 0.\nAnswer: -51037, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506857057.\nAnswer: 7, 17, 4259303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0*x + 0 - 1\/630*x**7 - 1\/72*x**4 + 0*x**3 - 1\/60*x**5 - 30*x**2 - 1\/120*x**6. Determine f, given that i(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55160167 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)*2*(-4)\/2. Solve 8 = -m*i - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86031, 0.85, 4 in increasing order.\nAnswer: -86031, 0.85, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -0.4 (c) -0.1 (d) -184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 3 + (-13 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**3 - 3*k**2. Let n(y) = -15*y**3 - 9*y**2. Let v(s) = -17*g(s) + 6*n(s). What is the third derivative of v(o) wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-1)\/((-30)\/8). Let y = m - 37\/5. What is the common denominator of 24\/5 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175912 and 62?\nAnswer: 5453272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28761 - 0?\nAnswer: -28761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 649 - 85.7.\nAnswer: 563.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 15) in base 9?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1035, 1044, 1055, 1068, 1083?\n\"Answer: z**2 + 6*z + 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 44. Suppose -3*j = -5*h - 0*j - 26, 19 = -4*h + 3*j. Let r be (-2)\/(-4)*14\/h. Put l, 5, r in descending order.\nAnswer: 5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, a: 2, j: 6, c: 4}. What is prob of sequence jccc?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 2:26 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25*1.769\nAnswer: 44.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 21*r**3 + 23*r**2 + 4*r - 4. Let c(v) = v**3 - v**2 - v + 1. Let w(m) = b(m) + 4*c(m). What is the third derivative of w(d) wrt d?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/120 + 3*q**5\/10 - q**3\/3 - 3*q**2. Let z be i(-18). What are the prime factors of (-45)\/z*(-24)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 38*f**2 - 360*f - 44. Give p(-46).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*k + 1080. Suppose -6*z + 11*z = k. Factor -54*b**2 + 95*b + 14*b**2 - 6 - z - 25*b**3.\nAnswer: -5*(b - 1)*(b + 3)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -337727?\nAnswer: 337726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.889942ug in nanograms?\nAnswer: 4889.942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 4039*m\/2 - 1395645.\nAnswer: -(m - 3154)*(m - 885)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 165*y**2.\nAnswer: -5*y**2*(y + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -151.1 and 1.017?\nAnswer: -153.6687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 5*c - 3*g + 6, 3*c = -4*g + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 62.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1\/5, 1, -0.1524, -0.3, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/372 and -36\/25?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3 - 11*g + 217*g**2 + 97*g - 208*g**2 wrt g.\nAnswer: 24*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/24 - (-20)\/(-80). Which is the nearest to k? (a) 2\/9 (b) -1\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.3882384 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**2 - 383695*b - 95077710 = 0.\nAnswer: -247, 76986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = 0, -4*m + 2*g = 47 - 17. Suppose 5*h = -y - 7, 3*y - 6*y = -2*h - 13. Put m, y, 1 in descending order.\nAnswer: y, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 4611011.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 50501164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 6068956?\nAnswer: -6068960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 5*x + 45. Let z = 29 - x. Suppose 14 = 2*f - z. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49 and (36223\/2783 - 13)*(-4)\/3.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266051319 to the nearest integer?\nAnswer: 16311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 79038000 rounded to the nearest 100000?\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 1, -2 in ascending order.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 6, -1\/4, 1\/4, 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -9*o + 481. What is the remainder when o is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010100001001010100100 + 100?\nAnswer: -111010100001001010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqqqoqqqpjtojpjqjj. Give prob of picking 3 p.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g**2 + 3. Let j(t) = 12*t**2 + 2. Calculate 2*d(u) - 3*j(u).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*m**4 + 24*m**4 + 37*m**4 - 76 wrt m?\nAnswer: 156*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/4*-1 - -8. Find the first derivative of 0*v**4 + 846*v**3 + w*v**4 - 10 + 140 - 849*v**3 wrt v.\nAnswer: 16*v**3 - 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/((-465)\/(-124))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1420, 1447, 1504, 1603, 1756, 1975, 2272, 2659?\nAnswer: 3148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 14*w + 12. Let g be p(14). Let q be 1\/2 + g\/8. Solve -17 = -5*o - q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 5:49 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1553728 by 11.\nAnswer: -141248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*o = -95 - 465, -3*w = o - 319. Let p = -2 + 14. What is the highest common factor of p and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 12:28 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23882414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, j: 8, a: 1, r: 3, x: 1, y: 2}. Give prob of sequence xjau.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x + 97*x**2 - 98*x**2 - 1 - 7. Calculate q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 8*b**2 - 8*b + 5. What is l(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**8\/56 + 3*m**4\/4 + 4*m. Find the third derivative of z(f) wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**4 - 910*f**3 - 935*f**2 + 3640*f + 3660 = 0.\nAnswer: -2, -1, 2, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3220121221 + -101?\nAnswer: 3220121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 896745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of ((-198)\/4)\/((-161)\/36064)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 13 = 5*z. Let u be 2 + (-1)\/(z\/35). List the prime factors of (-282)\/u - 8\/20.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4701*c - 1030530 = -4714*c - 10561*c + 767310 for c.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 10:58 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 6 - 105\/(-7). Let o be a\/(-15)*20\/(-12). Solve o*k + 9 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345072 and 5460.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5232 + -5194. Calculate the remainder when 356 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20132643 (base 7) to base 5.\nAnswer: -412001412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3697.27 millennia?\nAnswer: 44367240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 492, 844, 1184, 1506, 1804, 2072?\nAnswer: 2304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 102, 213, 368, 567?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(1\/3)\/v*v)\/v)\/v)\/v)\/v*v*v**(1\/7)*v**(3\/10)*v*v*v\/(v\/((v*v*v*v**7\/v)\/v)*v) assuming v is positive.\nAnswer: v**(1423\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/20 + f**4\/3 + f**3\/6 - f**2 - 9*f. Let p be j(-3). Solve -h - p*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1777055.\nAnswer: -2\/1777055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -0.22905235.\nAnswer: 0.32905235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -102. Let k be 836\/26 + 16\/x. Let w = k + -22. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 473\/2340 + -1\/468. Which is the closest to -168? (a) -2 (b) h (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 8:18 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 - q. Let t = 14 - 12. Suppose -6*b + t = -4*b. What is g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -644.667 + -0.333. Let n = b - -644.96326. Round n to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 6*m**2 + 4*m + 12. Let y be x(5). Suppose 0 = y*s + 3 - 3. Solve s = -6*z + 7*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3064 (b) -6\/7 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11111100111000111000 (base 2) to base 12\nAnswer: 41b534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8159.85828 + 0.14172. Let c = s + -8158.4028. Let k = -1.6 + c. Round k to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-8) + 1145\/(-229)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51734?\nAnswer: 2, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098102 to the power of 1\/2, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.672578 - 0.105222. Let y = z - -0.0378. What is y rounded to one decimal place?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*p - 83*p + 173*p + 1861. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5550815 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let p(a) be the first derivative of 61*a**2\/2 - 1. Calculate p(x(m)).\nAnswer: -61*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34232211430 + -4?\nAnswer: -34232211434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 1591.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a0 + -321?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:32 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33\/8 - 57\/10. Find the common denominator of 67\/3 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 917*j - 912*j + 23, 30*h + 5*j = -135 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14365, 14314, 14263?\n\"Answer: -51*k + 14416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 342*w - 69087. Give k(202).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5148*r + 5153*r - 3 - 4 + 10*r**2 + 6*r**3 - 4*r**3. Give h(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g + 2478. Let q(h) = -38*h + 12392. Give -16*o(m) + 3*q(m).\nAnswer: -2*m - 2472","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107166.\nAnswer: 2, 3, 53, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-8))**(1\/7) assuming t is positive.\nAnswer: t**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37948502 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.08 + 4. Let r = m - 2.92. Let g = 179 + -717\/4. Which is the closest to -0.1? (a) 2\/17 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(3872)*1)**2 - (-2*sqrt(288) + -3)**2) + -3 + -4.\nAnswer: -144*sqrt(2) + 2705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12940 + 743. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/2 (b) -1 (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 less than -194?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 134433109147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*i**3 - 52*g*i**2*z - 5*g*i**2 - 53*g - 5*i + 656*z wrt i?\nAnswer: 12*g*i - 104*g*z - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**5\/60 + 7*v**4\/12 + 49*v**3\/6 + 11*v**2 - 1. Let d(t) be the second derivative of m(t). Factor d(z).\nAnswer: (z + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*n + 8, 3*j + 6*n = 3*n + 6. Let v be (-20)\/70 - (-284)\/399. Let o = -8\/57 + v. Which is the closest to o? (a) 4 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 717, 4, -0.33, 3\/4, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-5)*11\/(-154)*70.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pipppippppvipppvp. Give prob of picking 2 p and 2 v.\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -39*m - 10. Let r(b) = -8*b - 2. Determine -11*r(q) + 2*z(q).\nAnswer: 10*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11628931 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2016, 2604, 4218, 7374, 12588, 20376?\n\"Answer: 86*p**3 - 3*p**2 - 5*p + 1938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57148 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.7, 7, -1, 2, -2, -1\/16?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/(-7))\/((-2740)\/(-5754))?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 7*m + 12. Calculate the remainder when 27 is divided by r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*o**2 - 71*o**2 - 152*o**2.\nAnswer: -160*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177 and 3450792.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 6*w**2 + 21*w - 11. Let b be j(-7). Let i be 4 + (b\/(-27))\/((-2)\/6). Sort i, 4, -4.\nAnswer: -4, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.6 + -34. Let d(t) = -t**2 - 5. Let s be d(-4). Let o be 6\/s + 18\/14. What is the second smallest value in v, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 46*l - 1714. What is r(57)?\nAnswer: 908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1715) + (-1*sqrt(1715) - sqrt(1715)))*-4)\/(sqrt(112)*-1 + sqrt(14)\/(sqrt(2)*-1)))**2 + -1.\nAnswer: 3919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -4 (c) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*g + 11*g + g)*(-4*g + g + 56*g) to the form x*g + o*g**2 + c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j**4 - 501618*j**3 + 1257189780*j**2 + 4581494216*j + 3323802768 = 0.\nAnswer: -66\/25, -1, 5018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38239, -152907, -344021, -611581, -955587?\nAnswer: -1376039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23006691109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (6 - 16) - (2 - 17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z**4\/5 + 18*z**3\/5 + 3*z**2\/5 = 0. What is z?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + -128632)*2\/(-15) - 12\/30. Is o at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -53, -107, -181, -275?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1173\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o - 20. Let b(c) be the second derivative of c**4\/12 + 11*c**3\/6 + 11*c**2\/2 + 3*c. Let x be b(o). Let h(m) = -6*m**2 - m + 1. What is h(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 8*l - 75*l + (-5*l + 9*l + 5*l)*(-5 - 3 + 5) as j + q*l and give q.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -28*s - 4. Let n(y) = -52*y**2. Give p(n(c)).\nAnswer: 1456*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f - 9. Let h be g(0). Let z = -5 - h. Suppose z*x = 4*v - 233 - 315, 2*v - 254 = -2*x. What is v rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 1956169 - 104017 = 0. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 0*o - 5*o)*(-o**2 + 2*o**2 - 2*o**2) + 4*o**3 - 2*o**3 - o**3 to the form t + q*o**2 + i*o + u*o**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33309.12 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/108 - (-28)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, i: 5}. What is prob of picking 3 i?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182381339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:40 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/5440 and 7\/6338800?\nAnswer: 431038400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + o - o)*(646*o + 578*o - 2114*o) as r*o + j + a*o**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3162*n + 6420. What is s(2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgxjcjjjjjhjjjjx. What is prob of sequence xxg?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*j - 257 = -445 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022547 to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -5) + 10 - (-1 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 493 = -22*g. Calculate the remainder when 80 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2800 divided by 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - -20. Calculate the lowest common multiple of (-2990)\/(-184) - (-14)\/8 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 5. Suppose -3*l + 113 = v*w, 3*w = 2*w + l + 37. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - a5?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25, 2, -1\/5, -0.07, 149, -1, 1.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/714 and 45\/119.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3*c - a = -14, 4*a - 16 = 0. Sort c, 5, 0 in increasing order.\nAnswer: c, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**6\/360 + l**5\/40 - l**4\/6 + 8*l**3\/3 - l**2\/2 - 25*l. Let n(m) be the second derivative of k(m). Give n(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -34*c**4\/5 + 23201*c**3 - 98828478*c**2\/5 - 41372559*c - 17483094\/5 = 0.\nAnswer: -2, -3\/34, 1707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {p: 5, y: 7, n: 1, k: 1, s: 5}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5.945, -276.3?\nAnswer: -276.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124.0427 + 124.1. Round u to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-111)\/(-296))\/((-3)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6279075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 56*k + 708. Is 3 a factor of v(59)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 1:01 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/19 and -34\/10635915?\nAnswer: 10635915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19086719, 19086718, 19086717, 19086716, 19086715, 19086714?\n\"Answer: -f + 19086720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:29 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 2:01 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 6 - (6 - (18 + -7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -2. Suppose -10*z = -266 + 236. Which is the closest to n? (a) 2\/15 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*o + 4*o**2 + 0*o**2 - 286*o + o**2 - 96*o as s + f*o**2 + y*o and give y.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + -2 + -54 + 53 + -37 + -9).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118.9 - 119. Let n = 0 - 0.3. Let k = 9\/4 - 7\/4. What is the nearest to d in k, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - t - 180*i + 179*i + 16 = 0, -81 = -13*t - 4*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/25 - 0)*35\/42*-30.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j**4 - 278 + 71*j + 1\/5*j**5 + 0*j**2 + 23\/3*j**3. What is the derivative of z(g) wrt g?\nAnswer: 4*g**3 + 46*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162016051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -6. Let j be (q - -12)\/(1\/14). What is the first derivative of -7 - 1 - 4*t**4 - j wrt t?\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + g + 3*g)*(g**2 + 2*g**2 - 5*g**2) - 64 - 75*g**3 + 67 - g**2 - 4.\nAnswer: -71*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65234 + -717234. Round h to the nearest one thousand.\nAnswer: -652000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57621943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43653265 is divided by 2567838.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5250000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 = r, -19 = 2*o - 3*r - 6. Let t = o + 0. Which is the third smallest value? (a) -0.4 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7953, 32810, 74259, 132318, 207005?\nAnswer: 298338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 1, s: 1, l: 3, m: 5}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 155*d - 426*d + 223*d in the form l*d + o and give l.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 162 + 240 = 0. Solve 0 = 3*c - 5*d + k, 4*c = d + 12 - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*x + 183 = -b, -4*b + 130 = 5*x. Calculate the remainder when 69 is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433539?\nAnswer: 3, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3187.000005906 - -3187. Round a to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 0*l + 28. Suppose 0*d = d - 4*b + l, 1 = -3*d + b. Suppose 2*q + 5*o = -10, 0 = 4*q - 3*o - 2*o - 40. Solve -q*a = -d*a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 21 = t - 4*t, t + 3*j - 12 = 0. Calculate the remainder when 6 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25708343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.253 (b) -5 (c) 3.359 (d) 2 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/921134 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 10. Suppose 3*h - 2 = 10. Suppose -k - 63 = -h*k. Calculate the highest common divisor of k and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b - 3. Suppose 0 = 34*i - 17*i - 102. Suppose i*k = 160 - 142. What is t(k)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 205*z**3.\nAnswer: -5*z**3*(z + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dirdqccwriqcdqr. What is prob of sequence qq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 3. Let k be w(3). Suppose -5*n - 8 + 18 = k. Solve -1 - 5 = n*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/29)*y*y*y\/y**(-3)*y*y\/((y**13\/y)\/y)*y**(-2\/9)\/y*y assuming y is positive.\nAnswer: y**(-859\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 28 = -4*o, -4*o = -h - o + 7. Suppose 3*f - h*f - 1592 = 0. Let r = 51 - f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77a44b (base 14) to base 3.\nAnswer: -21122100222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 11 = x, -3*x = -7*u + 3*u + 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 7 - 2*v**3 - 9 - 4*v**3 to the form w + h*v**2 + q*v**3 + p*v and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120845*d**4 - 33583.\nAnswer: 483380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.72295 rounded to 2 decimal places?\nAnswer: -36.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 567078 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q**5 - 25*q**4 + q**3 + 17*q**2 - 8. Let g(m) = -145*m**5 - 275*m**4 + 10*m**3 + 185*m**2 - 90. Let c(n) = 4*g(n) - 45*x(n). Factor c(d).\nAnswer: 5*d**2*(d - 1)*(d + 1)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - y = -22, 0 = 2*f + 4*y + 1 - 9. Solve f*v + 12 = -20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqvoov. Give prob of picking 2 o and 2 v.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137445.\nAnswer: 3, 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10001010001111001 (base 2) to base 9\nAnswer: 117071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1185019 and 4207768.\nAnswer: 786852616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (-10 - (-18 - 4)) + 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5178819\/154 at least -33628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 20, 13 = 4*j - 2*v - 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 6*x**6 - 6*x**2 + 60*x**2 + 7*x**6 + 16*x**6 wrt x.\nAnswer: 3480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 72*v + 2. What is the units digit of k(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(6 + -12) + 0 - -13. Let a = -17 + 45. What is the highest common divisor of s and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5437243.\nAnswer: 7, 776749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3708 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -556*i - 3856. What is the lowest common multiple of 132 and y(-7)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -30663 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -32. Calculate the remainder when 133 is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - c**2 + c + 1. Let j(v) = -16*v**3 - v**2 - 3*v - 3. Give j(b) + 3*w(b).\nAnswer: -13*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - k = -3*k + 24, 5*y - k - 53 = 0. Suppose 7*z + 9*z - 320 = 0. Calculate the highest common divisor of z and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12336 - 7068. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10962 and 2610?\nAnswer: 54810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314*v**4 - 318 wrt v.\nAnswer: -1256*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401133 is divided by 5417.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 0 - (-13 - -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 - 10*i + 13. What is o(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (348\/112)\/(11\/(-8)). Let c = 28\/11 + d. Is 0 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*s + 24, 9*t - 13*t + 26 = -s. Suppose 0 = -t*v + 814 + 306. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4*u - 5 = f, 0 = 4*f - u - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 62*w + 3641. Determine j(-59).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 9937?\nAnswer: -3\/9937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -4*f - 6. Let o = 41 - f. Calculate the highest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 19*h**2 - 114*h - 1740. Calculate x(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143925989 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1 - 5*i + 3*i + 1 + i**2. Let z be ((-2)\/(-3))\/(2*(-4)\/36). List the prime factors of a(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - (5 - (1 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4627 or 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -14825?\nAnswer: 14824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4497 - 4493. Let q(f) be the first derivative of 3\/10*f**2 - 3 + 4\/15*f**3 + 0*f + 1\/20*f**t. Factor q(o).\nAnswer: o*(o + 1)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 28. Let h be d(-5). Calculate the highest common divisor of h and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -20684, 0, -1, -2, -9 in descending order.\nAnswer: 0, -1, -2, -8, -9, -20684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*-14)\/((-7)\/14) is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324468 less than 3835192?\nAnswer: 1510724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-2)*(-49)\/(7938\/36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 44 = 0. Suppose -5*p + 0*p - l + 11 = 0, 0 = 3*p + 5*l - 11. Suppose -p*y - 6 = -4*y. Solve y*o = -4*j + 4*o - 12, -5*j + 3*o = a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -9 - (0 + 0) - -6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 260*p - 504.\nAnswer: -4*(p + 2)*(p + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 = -8*m - 1437. Let u = 133 + m. Solve 10 = u*a + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, u: 9}. Give prob of sequence nuu.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - i**3 - i**3 + i**3 as d + j*i + v*i**3 + l*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -138182, -552692, -1243536, -2210714, -3454226?\n\"Answer: -138167*s**2 - 9*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3468775, 6937550, 10406325?\nAnswer: 13875100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*k - 564079 + 561199 = 0 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2637, 45\/7, -0.3 in descending order.\nAnswer: 7, 45\/7, -0.3, -2637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 + 5*k**2 - 7*k + 11. Let t(r) = 2*r**3 + 3*r**2 - 4*r + 6. What is -5*t(i) + 3*u(i)?\nAnswer: -i**3 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 679 + -1329\/2. What is the common denominator of 59\/20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)*(-21 + -3). Suppose -18*x + f = -14*x. Let y(p) = p**2 - p - 1. Calculate the least common multiple of x and y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 - -98. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 7\/2*z**3 + 56*z + 0 + 53\/20*z**5 + 0*z**4 + z**2. Find the second derivative of f(y) wrt y.\nAnswer: 318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -41*h**2 + 4\/3*h**3 + 1\/12*h**4 + 0*h + 0. Determine i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-47753)\/477)\/((-986)\/348). Factor -12 + 2*c**2 + r*c.\nAnswer: 2*(c + 18)*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 534?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*m + 1, m + 5*i - 16 = -2. Let c be (4 - -2) + -2 + 0 + m. Suppose -c*y + 9\/2 + 1\/2*y**2 = 0. Calculate y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 2.4, 0.4, 4, -0.03?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus 11746351?\nAnswer: -11746371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -j - 28, 3*g - 2*g - 5*j = 0. Suppose -15*h = -g*h - 3*o - 744, -h + 2*o = -153. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/29))**(-1\/72) assuming a is positive.\nAnswer: a**(-1\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7245618239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s + 3*s - 191204 = -190745 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 14 = 5*a - j, -8 = 2*a + 2*j. Let q = -2230\/9 - -248. Put q, a, 3 in descending order.\nAnswer: 3, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/1122785 and 93\/109540.\nAnswer: 4491140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = 0, -4*x + 178*i + 15966 = 176*i. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v**4 - 14*v**3 + 5*v**2 + 9*v wrt v.\nAnswer: 96*v - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmjrgrgjjmgrrggmjjgm. Give prob of sequence mrg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 440554*j**4 + 1411476.\nAnswer: 1762216*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from xssjisiks?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 48. Let v be w\/(-8) - 189\/(-1176). Which is the nearest to v? (a) 0 (b) 2 (c) -1\/6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111812229 + -7342.7?\nAnswer: -111819571.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51830259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 + -107. Let n(i) = 30*i**2 - 19*i + 79. Is n(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12108341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16413405419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:02 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50647*o - 50573*o - 148. Factor 0 - 2\/5*s - 2\/15*s**o.\nAnswer: -2*s*(s + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - x + 148. Let c = 14180 + -14193. Calculate f(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299238 is divided by 99737?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109201*u**3 + 1963*u**2*v**2 - 71847710*u*v**2 + 4*u wrt u?\nAnswer: -655206*u + 3926*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 177*6\/108.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*u - 70 = 0, -l + 2*u = 2*l - 56. Suppose l*w = 14*w + 88. What is the greatest common divisor of 66 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 12*o**2 + 14. Calculate the lowest common multiple of 74 and b(12).\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 612\/7 (b) 10 (c) -105.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115193688.\nAnswer: 2, 3, 149, 32213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 928 and 580.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 10. Let i be 0 - (-28 - (-4 - -3)). Suppose -f - 19 = -2*f + 4*o, -3*f - 3*o = -i. Let p be x(f). Round p to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and -17.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-7))\/((12 - 116\/(-28)) + -16). Sort -9, g, -16 in descending order.\nAnswer: g, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*x - 7. Suppose -g + 21 = 4*g + 4*d, 0 = -5*g + d + 26. Suppose -5*q - 10 = -4*l, 5*l + 2*q = -0*q - 4. Put g, l, x in decreasing order.\nAnswer: g, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717419?\nAnswer: 717419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/21 and -53\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -0.9, -1 in decreasing order.\nAnswer: 11, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 107. Let o be q(3). What is the greatest common factor of 150 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-123 - -1547)\/(6\/(-4) + 2). Suppose -f - 3*o + 1433 = 0, -p = -2*f + 4*o + 68. What are the prime factors of f?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 9 + 7 - 4*p. Calculate the remainder when 3*47\/3 + -2 is divided by d(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 8016450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2 = 5*d - 18, 33*d = 3*k + 162 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5*(-18)\/(-45))\/((-168)\/24))\/(24\/(-7))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 2. Let t(s) = -425*s + 1. Let l be t(d). Suppose 5*i + 4*f = 2085, 0 = -2*i - 4*f - f + l. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126649391 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 24, 53, 106, 189, 308, 469, 678?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*s + 799*s - 2110*s + 51650 = 0 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a**2 + 400*a - 894. Give q(34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 22*d**2 - 12*d - 535. Determine x(24).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -43\/5 (b) 0 (c) 29\/4 (d) 1 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/4895960 and -1\/26927780?\nAnswer: 53855560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 76 + 28 = -65 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = -5*u, 2*x + 2*x - 53 = 5*u. Suppose -2*c - x = -17. Solve q = 3*k + 20, q + c*k - 4*k = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11652517633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*f**3 - 56*f**3 + 23415 - 23415.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 156 (c) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200347944 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 18. Let q be z(-21). Let y(a) = -7 - 2*a**3 - 3*a - 4*a**2 + a - 3*a. What is the units digit of y(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.334 times 910874?\nAnswer: 304231.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2) + 48\/(-3). Suppose 0 = 588*c - 594*c + 90. Calculate the remainder when (-478)\/(-8) + p\/20 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*w = 22, w + 3*w = -4*i + 24. Suppose -8 = -5*k + 2. Solve x - k = -i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8 = 1. Let y be c - (-2 + 15\/(-9)). Let v = 4 - 3.6. Sort 0.5, y, v in increasing order.\nAnswer: v, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:19 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57736479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**7\/630 + d**6\/144 + d**5\/24 - 21*d**4\/2 + d. Let a(t) be the third derivative of n(t). Determine a(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85076 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y**5 + 3*y)*(5 + 20 - 7) - 4*y**5 - 3*y**5 - 3*y**5.\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -3*20\/(-330) - (-3287)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-1\/3))\/((n\/(n\/((n*(n**(-4\/5)\/n*n)\/n*n)\/n)))\/n))\/(n**(-1\/4))**31)**(3\/2))**17 assuming n is positive.\nAnswer: n**(10421\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2699382 by 21.\nAnswer: 128542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2543911?\nAnswer: 167, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 3466 + (-3 - (4 - 4)). What are the prime factors of (-4*5\/14)\/((-99)\/d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*c + 261*c = 18 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 11*g**5\/15 + 3*g**4\/8 + 13*g**3\/6 - 2458*g**2. Let s(u) = -11*u**2 - 2*u - 3. What is 2*d(q) + 9*s(q)?\nAnswer: -11*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**2 + 41*j - 22. What is k(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 0, 0 = -c - 25*x + 27*x - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-19*f**3 - 17*f**3 + 19*f**3).\nAnswer: -34*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016754738 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**2 + 24*a**2 - 72*a**2 + 26*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**3 + 31*k**2 + 506*k - 4. Let w(f) = -5*f**3 + 22*f**2 + 505*f - 3. Determine -3*l(j) + 4*w(j).\nAnswer: -2*j**3 - 5*j**2 + 502*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*t**2 + 1 - 1 - 322*t**2.\nAnswer: -469*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8743 + 184*h + 177*h - 1432 + 248*h wrt h.\nAnswer: 609","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1427978501 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/6 and (15\/3)\/((-7)\/(-3))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3792945 divided by 758589.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*(sqrt(704) + -3)*5 - (1*sqrt(704) + -1 - sqrt(704)*1*4)))**2.\nAnswer: -316800*sqrt(11) + 5750800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*k - 3*k**2 + 6*k**3 + 12 + 6*k**3 - 3*k**4 - 6*k**2.\nAnswer: -3*(k - 2)**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135361807 and 7460887.\nAnswer: 947532649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733643023?\nAnswer: 10937, 67079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10234 and 465409.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - 38. Let v = s - -83.1. What is v rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 10. Suppose 2 + 2 = -4*g. Let j be g\/((-18)\/4) + 0. What is the second biggest value in j, 0, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 0, -3*p + 198 = -2*p + 3*d. Suppose -2*o + 301 = 5*z - p, 0 = -o + 2*z + 263. Calculate the remainder when o is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23163850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 649155 and 51285?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 - -9 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 5*u - 19*u**2)*(-3 - 1 + 2)*(-23 - 7*u**2 + 6*u**2 + 4*u**2).\nAnswer: 114*u**4 - 874*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51896 and 1089816.\nAnswer: 1089816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35322 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*o - 11 - 679 = 0, 0 = -3*k + 2*o + 413. Suppose -2*c - 12*l + k = -7*l, 0 = 5*c - l - 383. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -380.4 * 0.41.\nAnswer: -155.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204\/(-570) + 8\/(-60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -18. Let a = 21.999982 + g. What is a rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2 + 2*p - 3*p - 2. Let y be z(-6). Let q = y - -8. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 47 (c) 5\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/30)\/(85\/425)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2334*p - 2327*p - 129248 = 0. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27748595 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**4\/6 - 11*a**3 + 378*a**2 + 10*a + 62. Factor y(u).\nAnswer: -2*(u - 9)*(u + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 138 = k, -2*r = 3*k + 234 - 644. Suppose -4*d = -k + 34. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1073, -1312, -1603, -1946?\nAnswer: -2341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k**2 + 21*k + 93. Let l(w) = -5*w**2 + 8*w + 36. Let s(u) = -31*l(u) + 12*x(u). Let o = 22 - 36. Let z be (-52)\/o - (-2)\/7. What is s(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 q when three letters picked without replacement from {q: 5, b: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 4189956?\nAnswer: -2094978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-4 - -2)) + 4 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**5\/5 + 114*r**4\/5 + 111*r**3\/5.\nAnswer: 3*r**3*(r + 1)*(r + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17915 + -17900. Solve 1082*w - l = 1087*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nppp when four letters picked without replacement from xxnxppxp?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 15. Let t be h(11). Let j(c) = c**2 + 5*c - 17. Let p be j(t). Let z(w) = 20*w - 65. Let a be z(6). Sort a, -4, p in decreasing order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.97. Let l = -0.07 - o. Which is the third smallest value? (a) -4\/7 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. Let f = x - 4. Let i = -10.3 - -13.3. Which is the smallest value? (a) f (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + -78. Is 4 a factor of (-23)\/b + ((-133)\/(-42) - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1932 - 1397. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - (5 + -4 - -303991). What is x rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-26) - (-222)\/78. Solve f = -d*f + 4*n + 4, 5*f + 1 = -n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x. Let r(s) be the first derivative of -s**4\/3 - s - 4. Let z(w) be the first derivative of r(w). Give z(q(k)).\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 15*b = 56. Let x be 0 - (-8 + 42\/7). Solve -2*k - x*k - 10 = 3*r, 5*k + 3*r + b = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (1 + -1 - -1). Let j be (-1 + k - -2) + 0. Solve j = -0*o - 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 504 = -4*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -18*p + 28. Let r be t(2). Let w(h) = -h**2 - 13*h - 40. Let s be w(r). Let v = 1 - -1. Solve -v*z + 5*g + 35 = s, -g - 2*g - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/54*8\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 8*k + 14. What is the nearest to -3\/5 in 4, k, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 12*l**2 - 47*l - 53. Let d be u(-15). Let y = -27 + 3. Which is greater: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/74 - 139\/666. What is the biggest value in p, -2, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 711880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18301, -36608, -54919, -73234, -91553?\n\"Answer: -2*l**2 - 18301*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*sqrt(28)*5)\/(-2*sqrt(144) + sqrt(144) - ((1*sqrt(324) - sqrt(324)) + sqrt(4))).\nAnswer: -90*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(304) + sqrt(304) + sqrt(304) + 1 - sqrt(304))**2 + 4 + (sqrt(304) - (sqrt(304) + -1)**2*1) + 2.\nAnswer: 36*sqrt(19) + 2438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 34*d - 120. Give g(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 6:19 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 4*s - 1. Let x be p(3). Let r(w) = 4*w**x + 8*w - 5 - 6*w - 91*w**3 + 90*w**3. Calculate r(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - (2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2288 = 46*g + 3070 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.0044 to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -421 by -1.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 1. Let s(p) = p**3 + 6*p**2 - 7*p - 6. What is the units digit of s(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*p - 19*p - 19 + 19.\nAnswer: 229*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5354 divided by -1170?\nAnswer: 2677\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 13\/554171?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3. Let i = 26 + -24. Let l = i + r. Which is the closest to l? (a) 0 (b) -2\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, d: 2, y: 4}. What is prob of picking 2 d and 2 y?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g - 6. Let q be v(-6). Let z = q + 169. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 54768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 440*w - 130 = 435*w, 6*s = -w - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67231487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from {d: 2, a: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 479 + -129. Suppose -2*y - 3*v = -182, 8*v = -4*y + 9*v + l. Calculate the greatest common divisor of y and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4\/3*x**2 - 2\/3*x**3 + 0 + 2*x = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 4. Suppose 4*l - 31 + 15 = 0. Determine u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 6252192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19621 - 222*z**2 - 2*z**3 + 19622 + 0*z**3 + 49*z**2 - 241*z**2 to j*z**2 + y*z**3 + q*z + n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 7897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.028 - -34.028. Let y = -33.995 + f. What is y rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**3 - 495*c**2 - 4450*c = 0.\nAnswer: -89, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(4 + 1274\/52).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**1)\/n)\/n)\/(n**3\/n)*n**(-4\/3)\/(n\/n**1) assuming n is positive.\nAnswer: n**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 8:00 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14*y + 7. Let r be z(8). Let d = -40 - r. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c68 + 1?\nAnswer: 1c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 474, 18, 3, -3, -120 in decreasing order.\nAnswer: 474, 18, 3, -3, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1032 - 1318 = -47*n. Let p = 3074 + -21463\/7. What is the common denominator of p and 814\/40 - n\/(-125)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -217 + -111?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9431 and -4.\nAnswer: 7.7724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976328 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/(2\/6). Let c be (4 + -4 + (-6)\/(-27))\/((-33)\/11). Does b = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114659280 and 1350?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348707809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40.5738 and -2.63?\nAnswer: -106.709094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*v + 40 = 0, -30 = -3*s - 2*v + 14. Let t(u) = -12*u - 1. Let k be t(1). Let r = k + s. Is r not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9433243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 25*c - 6*c. Let h be (-1 - 1)*(-3)\/2. Sort h, 4, -4, c in ascending order.\nAnswer: -4, c, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -722 greater than or equal to -12282\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from upyoyyuyuoi.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/63 - (2 - 40\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8) + -4 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -23, 2, -6, -5 in descending order.\nAnswer: 66, 2, -5, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1545 - 163. Suppose -p + i = p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 31. What is the remainder when (-26)\/(-10) + k + 3720\/50 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14837.9 and 10096.\nAnswer: 24933.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/(5*(-20)\/(-420)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 at most as big as 760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4832.092 micrometers to kilometers.\nAnswer: 0.000004832092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 8:07 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.6 + 11. Which is the nearest to 0? (a) -3 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 10*k - 64. Calculate the highest common divisor of k and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19230 + 1480764\/77. Find the common denominator of -5\/182 and d.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*i - 34, 7*i + 5*b = 3*i - 34. Let f = -4 - i. Let d = -16 + 38. What is the highest common factor of f and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.98 + 0.02. Which is smaller: -0.9 or r?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -9\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 42 = -34. Suppose s = -3*s - 4*k + z, -23 = -2*s + 5*k. Suppose 86*d**4 + 2*d + 4*d**2 - s*d**3 + 2*d**5 - 12*d**2 + 4 - 82*d**4 = 0. Calculate d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-660))\/((27\/(-3))\/(-144))\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338133 and 1197921?\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 - 792*n + 392040.\nAnswer: 2*(n - 990)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 12. Suppose -5*s + 7 = 8*z - 4*z, 0 = -2*s - z + 1. Let n be ((-2)\/1 - s)\/(9\/(-153)). Calculate the highest common factor of j and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqcyrqs. What is prob of sequence qsc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -n + 8. Let r(f) = -n + 0*f + 0*f - 4*f + 3*f. Let i(s) = -s - 1. Let l = -18 - -14. Give l*r(a) + 3*i(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 20*k**2 - 20*k + 20. Let b(s) = -3*s**3 - 2*s**2 + 8*s - 5. Let y be b(2). Let n be w(y). Sort -3, -20, n, -4.\nAnswer: -20, -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 + 79 - (0 - -16)) + -44.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1940 and 790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -258.8 - -369.52665\nAnswer: 110.72665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5058 (base 14) in base 6?\nAnswer: 143514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3172 divided by -793?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(1\/6))**(-23)*(m*m\/(m*m*m**2)*m)**(-35)*m**(-1)*m**(-1\/6) assuming m is positive.\nAnswer: m**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(18) + (3 + sqrt(2))*-2)**2 + 1.\nAnswer: -4*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1585 + 1581. Which is the closest to -0.2? (a) u (b) -2 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**3 + 7*i**3 - 2*i**3 + 2*i**3 - 2*i**3.\nAnswer: 51*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-2036)\/(-2545)*((-1050)\/4)\/(-7)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 7:09 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, x: 1, l: 2, u: 1, m: 2, p: 2}. Give prob of sequence uxmz.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 6\/353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180497, -180459, -180415, -180365, -180309, -180247, -180179?\nAnswer: -180105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/215 - (8\/(-5) + 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*y**2 - 361*y**2 + 1316*y**2.\nAnswer: 546*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d**2*r + d*r**3 - 366*d*r**2 + 51*r**3 - 11*r**2 - 2 wrt d.\nAnswer: 8*d*r + r**3 - 366*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1 - 8\/(-4). Suppose z = -3*m, -2*q - 2*m - 3*m = -2. Calculate the lowest common multiple of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5 + 54660*d**4 - 248866944*d**3 - 996342528*d**2 = 0 for d.\nAnswer: -4, 0, 9112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 + 4490*s\/3 + 4492\/3.\nAnswer: -2*(s - 2246)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/244 in 268, 5, -4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*f + 54*f + 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-7 + 8)*(-1 - -6). Let g be 13 + (l - 3) + -4. What is the highest common divisor of 469 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/33392 and -75\/16.\nAnswer: 33392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t + 2. Let p be h(3). Let m = 14 + p. Suppose -m*l + 0*l + 2540 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -34 + 14 - (24 - 98)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.4 (b) -51\/4 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -495*b**3 + 33*b**2 - 33*b + 33. Let x(j) be the first derivative of 31*j**4\/4 - 2*j**3\/3 + j**2 - 2*j - 4328. Calculate 2*f(g) + 33*x(g).\nAnswer: 33*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 1253276 = y - 1253144, 0 = 5*z + 130 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u + 11809 = 11764. Which is the closest to 1? (a) -10 (b) 4 (c) -1\/14 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1)*z*z*z*z*z**0*z*z**3\/z*z**(-1\/9)*z)**(-9\/4))**23 assuming z is positive.\nAnswer: z**(-2047\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c**(-23))))\/c)**(-3\/8))**(-2\/27) assuming c is positive.\nAnswer: c**(-23\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddc when three letters picked without replacement from {d: 3, c: 8, j: 6}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1955567 or -0.2?\nAnswer: -1955567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -132*l + 129*l + 13, -u + l - 1 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -10.7. Let v be (2\/10)\/((-8)\/20). Let h be 3\/(-7)*(-10)\/(-15). What is the second biggest value in s, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480599993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 508 and 178888898?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/8 + -5 + 620. Let d = l + -397. Calculate the least common multiple of d and 20.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -221533 (b) -2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 150.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/(-52)*(-3 - (-224)\/75).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(6 + 225)*(-1 - 10\/(-6))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - 6*b)*(-1 + 1 + 2) - b + b - 2*b + 217 - 418 + 199 - 433*b.\nAnswer: -439*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 1. Let k be ((-6)\/15)\/(2\/(-10)). Suppose 0*d - k*d + 8 = 0. Determine v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -812609972*s**3 - 239921073 wrt s?\nAnswer: -2437829916*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 366938 = -367094 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 75?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*g - 2*u, -6*u = g - 2*u. Let h be 3*(g\/(-15) + 1). What is the closest to 2 in 2\/5, h, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010823\/4 at least as big as 752705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182044 and 238452.\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + y**2 + y. Let g(u) = 60*u**3 + 30*u**2 + 30*u. Give -g(a) + 30*w(a).\nAnswer: -30*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 375245?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(38\/12 + -3). Suppose -3*m = -5*m + t. Which is the third biggest value? (a) 0 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43218\/637)\/147*(-13)\/(-69)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 + 2398*v\/13 - 2400\/13.\nAnswer: 2*(v - 1)*(v + 1200)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50505 - 12430. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let m(p) be the first derivative of 10*p**2 - 20. Determine k(m(j)).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*i = 21, r - 16*i + 18*i - 31 = 0. What is the remainder when 48 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -85*g**3 + 27*g + 45. Let n be h(-2). What is the highest common divisor of 244 and n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 71. Suppose -4200 + l = -7*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8542bc (base 13) in base 5?\nAnswer: -1244404210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - q - 20 = 0, 5*q - 3 = -4*i + 2. Let g(v) be the first derivative of -5*v**2\/2 - 7*v + 1. Does 5 divide g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (42\/18)\/((-2)\/(-66)). Let q be 1372\/y - 2\/(-11). What is the highest common divisor of 36 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 32. Let m(f) = -2*f + 36*f**a + 12 - 74*f**2 + 32*f**2 + f**3. Let c be m(6). Solve -27 = 3*r - 3*z, c = 2*r - 4*r - 5*z + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53453, -53560, -53667, -53774, -53881, -53988?\nAnswer: -54095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 113680383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -2190?\nAnswer: -6570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213656806*r**3 + 2707396*r?\nAnswer: 1281940836*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -5, 5, -1\/5, 35 in increasing order.\nAnswer: -5, -1\/5, 0.05, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 407898*j + 13865064867.\nAnswer: 3*(j + 67983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1385*t**2 - 2*t + 257 wrt t.\nAnswer: 2770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**2*s + 2*i**2*z**5 - 1386*i*s*z**5 - i*s + i*z - 35*s*z wrt z.\nAnswer: 40*i**2*z**3 - 27720*i*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -2188901, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 - 4*h - 7. Let m be d(-3). Let l be m + -1 - 2*2\/2. Solve l*y + 1 = -q, 0*q - 2*q - 8 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -496, -829, -956, -847, -472?\n\"Answer: 5*g**3 + 73*g**2 - 587*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66286?\nAnswer: 2, 11, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143816, -286608, -429400?\nAnswer: -572192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + 2*l - 8. Let m = -4 + 6. Let z(o) = 0 - 5*o**2 + 2*o + m*o - 17 + 0. Let g(w) = 9*x(w) - 4*z(w). Determine i, given that g(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 19. Let s be (t\/6)\/((-1)\/(-12)). Calculate the common denominator of (83\/s)\/((-2)\/3) and 59\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 9)\/(1\/3). What is the smallest common multiple of (1449\/(-84))\/(z\/(-16)) and 18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 460? (a) -1\/3 (b) 1\/2 (c) -56\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 11:27 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9587.6075571 take away -45.2?\nAnswer: -9542.4075571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257614?\nAnswer: 2, 7, 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 9*u**2 + 17*u - 4. Let h be a(-6). Let m(c) = -h*c - 42*c**2 - c + 41*c**2 - 2. What is m(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1955 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyuyug. Give prob of picking 1 g and 2 u.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11 = -3. Suppose k = l*k - 18. Suppose 2*t = -2*f, -t + 4*f = -k*t. Is -2 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96855 and 9518205?\nAnswer: 104700255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 13 - 5301*r + 5301*r.\nAnswer: -10*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2 - 59*d - 65. Let w be k(-8). Calculate the highest common factor of w and 1403.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*t + 21, t = 4*o - 2*o + 16. Let p be -2 + o\/2*-4. Let l = -3 + 43. What is the greatest common factor of l and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1248 - 628 - 301*g - 622)*(-g - 2*g - 1 + g).\nAnswer: 602*g**2 + 305*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6211882 is divided by 683.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1291*y + 28404. Let m be r(-22). Suppose -3*u - 17 = -v, 0 = -4*v + 2*u + 3*u + 33. Which is the closest to v? (a) m (b) -2 (c) -210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**21)**38\/(w**(-7)\/w)**(-3\/2) assuming w is positive.\nAnswer: w**(-772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-66) - 4216\/2046. Sort z, -4, -53 in increasing order.\nAnswer: -53, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/3 - 14*u**4\/3 + 12*u**3 - 40*u**2\/3 + 16*u\/3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/18, 1\/9, 2, 0.2 in decreasing order.\nAnswer: 2, 0.2, 1\/9, -5\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -32.1?\nAnswer: 32.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-69)\/(-24))\/(2\/8). Let o = -12 + j. Let g(i) = -23*i - 166. Let c be g(-7). Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/24 + 912*u**2. Let q(n) = 6*n - 212. Calculate z(q(b)).\nAnswer: 6*b - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 5:56 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 + 3.4. Let x = -1 - b. Let j = -1 - -3\/5. Sort 0.01, j, x in descending order.\nAnswer: x, 0.01, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 140 = 148 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 14. Which is smaller: -5\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*s - 11. What is the common denominator of (s\/(-16))\/((-9)\/(-42)) and (-135)\/2*(-3)\/(-120)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -4848.65?\nAnswer: 14545.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 162\/12 - 15 - 459\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1241251452 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p - 1. Suppose -t - n = -2, -2 = -20*t + 21*t + 3*n. Let q(z) = z**3 - 2*z**2 + z - 4. Calculate t*r(a) - q(a).\nAnswer: -a**3 - 2*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 17*s - 3*s - 7*s + 8*s + 4. What is the units digit of h(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/14, 1, 2.3, 2, 1.9, 246?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 2*u**2 - 8*u**2 + 7*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(317178 + 61*b - 317178).\nAnswer: -122*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 0.12 in increasing order.\nAnswer: -1, 0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*j - 20868 + 732. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4911*3330.\nAnswer: -16353630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 3*v**2 + 2*v - 2. Let w be y(2). Suppose -w*o + 3*o = 1158. Is o\/(-10) - (-18)\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (118\/30 - (3 - -1))*-1. What is the fourth biggest value in u, 5, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62, -120, -178, -236, -294?\n\"Answer: -58*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-6)\/u))**(-20))**(-4) assuming u is positive.\nAnswer: u**640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**3 + h**2 - 5*h - 3. Let s be d(4). Let a = s - 61. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:22 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2233 (base 7) to base 6\nAnswer: -3424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 1. Let r be u(-5). Suppose -59 + 239 = r*l. Suppose 0 = -2*s - 2 - l. Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t = 30*t + 24 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13\/5, 0.5, -2\/227, -0.22, -56?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1641 + 1107. Round g to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38072 divided by -1.\nAnswer: 38072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -506 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-8442)\/798)\/((-57)\/(-361))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 12:13 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 9 = 4*p, -b + 2*b - 3 = 2*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(448) - sqrt(448)) + sqrt(448))**2.\nAnswer: -80*sqrt(7) + 2245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9435787*r**3*x**2 + 11691*r**3*x - 94*r wrt x.\nAnswer: -18871574*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -846 - -882. Let d(t) = t**3 + 3*t**2 - 3*t - 3. Let x be d(-3). Let i(h) = 19*h - 8. What is the remainder when i(x) is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*b + 26, -b - 5*q = 10 + 3. Let w = b - -25. Is (-697)\/(-2) + w\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1014.6 + -927. Let j = p - 85. Round j to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.98 + 7.9804496. What is v rounded to five dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f - 1. Let r(n) = 2*n**2 - 4*n - 3. Let j(u) = -3*q(u) + r(u). Let l be j(0). Suppose -5*t + l*v + 157 = -v, -v = -3. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utt when three letters picked without replacement from {t: 2, u: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {c: 3, m: 4, t: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*m + 146. Let v = m + -11. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzpz when four letters picked without replacement from {p: 1, z: 2, b: 1, g: 2, k: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -13 - (-1 - 14 - 12 - -6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -662*n + 111. Suppose 253 = -33*q - 110. Is h(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-4)*(-267)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or 1918\/9?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37386523.\nAnswer: 23, 1625501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssaavivvaiaiiadia. Give prob of picking 2 d and 1 i.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 t when four letters picked without replacement from ootttsottttost.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8741690 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 4*g + 16 = -3*a, 0 = 4*a + 5*g - 15. Solve -a = 5*z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 8:56 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*h - 49, -h + 5 = w + 4*w. Let u be 2\/h - (-19)\/5. Let 2*j**2 - 6*j**3 + 6*j**u - j + j - 2*j**5 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 2471, 1\/3, 2, 0.07.\nAnswer: -4, 0.07, 1\/3, 2, 3, 2471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naaa when four letters picked without replacement from {n: 2, a: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4082, -8153, -12218, -16277, -20330, -24377?\nAnswer: -28418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1377457585 to the nearest integer?\nAnswer: 37114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*9\/54*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + -10. Are -44 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5037\/12605 - 1\/2521. Let j = 1.43 + 0.47. What is the third smallest value in j, 2\/15, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, 0.0262, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235*v**2 + 21397*v + 3*v**3 + 3 + 0 - 21298*v + 4 wrt v.\nAnswer: 18*v + 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 334 and -2.3.\nAnswer: -768.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 3446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4537 or -0.1289?\nAnswer: -4537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowowo. Give prob of sequence wowo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 16*a + 2732. Determine y(-171).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 7*h + 188. Calculate the remainder when 173 is divided by n(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 79?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -424 greater than or equal to 2983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 12) to base 9.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - (-13)\/(-2). Let p(i) = 3*i**2 + 8*i + 3. What is the remainder when p(w) is divided by (-1284)\/160*(-28)\/21 + 2*15\/100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -4) + -11 - (1 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 3*j**2 + 6*j**2)*(0*j**2 - j**2 + 0*j**2) - 5*j**4 - j**4 + 0*j**4 + (j**2 + 0*j**2 - 2*j**2)*(5 - 5 + 8*j**2).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/5 - 2396035*i = 0.\nAnswer: 0, 11980175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let f(b) = 4*b - 17. Let w(g) = -3*a(g) - f(g). What is w(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2*k**2 + 0*k - 7*k - 5. Suppose 0 = 3*q - 0 + 18. Determine j(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129630 = 1646*u + 69536 for u.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*s - 24 = 0, 2*g - s + 5*s - 8 = 0. Suppose 5*b = 2*b + g. Let a = 8 + -6. Solve 0 = -b*i + a*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.409 + 5.809. Put -80\/7, -5, n in decreasing order.\nAnswer: n, -5, -80\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-8) - (-93)\/(-8). Let v = s - -11. Let h(t) = -t - 1. Let b(y) = -3*y**2 - 9*y - 4. Let a(w) = v*b(w) - 2*h(w). Factor a(p).\nAnswer: (p + 3)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgfyt. Give prob of picking 1 g, 1 f, and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2628 greater than or equal to -2557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 1\/14 (c) -11 (d) -4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + 539\/35. Is 12 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -29. Let o be 1 + -1 + 73504\/(-4128). Let w = o + 6\/43. Is c bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhwivimhvvssvw. What is prob of picking 1 h, 2 m, and 1 v?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1685)\/385 - (92\/(-28) - -3) and -52\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Suppose i*g = -g + 15. Suppose g*d = 2*t - 0*d - 26, 21 = 3*t - 3*d. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 197 + 167 + 54)*(-9*d + 4*d - d).\nAnswer: -2736*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87153.\nAnswer: 3, 11, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1.6, -6, -3 in descending order.\nAnswer: 1.6, 0.4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let p be 2\/s + 2 - 1. Solve p = 3*l + 6 - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p - 5. Let u = -58 - -36. Let x be (-26)\/u - (-8)\/(-44). Let d(j) be the second derivative of -j**3\/6 + j**2\/2 + 2*j. Give x*o(w) + 5*d(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 158.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -141, -209, -277?\n\"Answer: -68*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5) + 1 + sqrt(325) + -2)**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 34. Suppose -5*a - q - c = -0*q, 5*q = -a - 10. Does 13 divide 8\/20 + (-248)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/15)\/(3\/36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.61 - 2.6. Let i = -0.0099828 + j. What is i rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 - 0.0631604\nAnswer: -0.2131604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83 - -85) + (-3 + -10 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*m - 460*m + 46633 = 8632 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 5.3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 24*n**2 - 251*n - 5258. Give r(-23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + -0.6. Which is the nearest to 0.1? (a) -3 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let s(q) = 2*q + 12 - 6 - 6. Give s(i(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(-2*sqrt(1296)))**2.\nAnswer: 11\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852929 is divided by 351.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2624512854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 898565*g*n + 15*g + 29984154*n wrt g?\nAnswer: 898565*n + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324 (base 9) in base 10?\nAnswer: -994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 537696959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 96?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**2\/2 - 1174806*c = 0.\nAnswer: 0, 783204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.86 + -2.14. What is the nearest to -0.1 in d, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -664.48 (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + f + 22. Determine n(12).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 875149720 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, j: 1, z: 3, a: 3}. Give prob of picking 1 a and 1 z.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:43 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m - 5*l - 32, -4*m - 4*l - 124 = -68 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*n - 454, 2*n - 6*y + 454 = -4*y. Let h = n + 232. Let q = 1.94 + 0.06. Which is the closest to -0.1? (a) h (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576 (base 14) to base 11\nAnswer: 8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20621 and -310?\nAnswer: 20931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -777 - -1615\/2. What is the common denominator of z and 47\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 37582\/259?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from cccjcccjc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178385, 8, 28.\nAnswer: -178385, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -25. Let g = 37 + -35. Suppose -n + h*b + 6 = 0, -7 - 1 = n + g*b. Which is smaller: n or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 4*t - 23, -2*v + 4 - 16 = -3*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2898*d - 11458. Give l(-4).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90987\/86 + -1058. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58085?\nAnswer: 5, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 - 170*v\/11 - 712\/11.\nAnswer: 2*(v - 89)*(v + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -18*t - 6. Let c be m(-1). Calculate the highest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4660 is divided by 322?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 8568*z**2 - 6117552*z - 1455977376.\nAnswer: -4*(z + 714)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 15*t - 29. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 2.6, -3, 0.18?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 4*b. Let l be m(-2). What is the derivative of 17 + 5 - l*p**3 - 15 wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let l(a) = a + 919. Calculate o(l(v)).\nAnswer: -v - 919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 118*z + 18 + 39 + 93*z + 8. Is y(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1924 and 3588?\nAnswer: 132756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*25476\nAnswer: 2547.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1048, 3 in increasing order.\nAnswer: -1048, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fooofofzofrofroo. Give prob of picking 1 z and 1 r.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 110101010 (base 2) to base 4\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 132 (b) 120 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18246*q + 17231*q - 16057*q + 31582*q.\nAnswer: 51002*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887 take away 2983088886?\nAnswer: -2983086999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/17 + 658364*y\/17 + 9875910\/17.\nAnswer: -2*(y - 329197)*(y + 15)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37264 is divided by 12419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2701?\nAnswer: 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-12) + 32\/6. Suppose -4*r = -u + 8, f*r + 14 = u + 4. Which is greater: -4\/5 or r?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -56 + (6 - -16) + (-4 - 1)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-20 + (-9 - -30) + (-1 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 14) + (-2040)\/(-160).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16661979127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -65, -81.\nAnswer: -81, -65, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 20147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3937 - 14001. What is the tens digit of b\/(-20) + (-12)\/60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -23*z**2 + 90 + 10*z**2 - z**3 + z + 11*z**2. Is d(0) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 17 - 31 + 7*k. Let s be f(6). Solve s = i + 3*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 1696.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9085 is divided by 65?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 greater than or equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -5*z + 41, -5*k - 41 = -4*z. Suppose -9 + z = -r. Let a = 1 + r. What is the least common multiple of a and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -106. Let s = c + 22. Solve 5*a + 4 - 6 = 2*p, -s = 2*a + 3*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-838)\/3771)\/(-1 - -2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1886, 3820, 5778, 7760, 9766?\n\"Answer: 12*p**2 + 1898*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/18417 or 0?\nAnswer: 2\/18417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6732687.\nAnswer: 3, 13, 172633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6112044 by -1.\nAnswer: 6112044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -u - 63. Let p = u + 279. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3}. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 times 28.4218\nAnswer: -73.89668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8141 - 3.79. What is s rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2821728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 46. What is the smallest common multiple of 4 and t\/24 + 49\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -808946*o. Let c(y) = 25*y. What is c(l(t))?\nAnswer: -20223650*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 315100389 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: Simplify (y*(y\/(y*y\/(y*y*y**(-2\/3)\/y)*y))\/y)\/y**(-1\/20) assuming y is positive.\nAnswer: y**(-97\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 8. Suppose 5*r = -2*f + 45, 2*f - 31 = -3*r - 0*f. What is the remainder when r is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3707 + 1846 - 3*t**3 + 1861.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 - -82. Let h(c) = c**2 - 1 + 0 - 1 + 6*c. Let q(m) = m**2 + 5*m - 2. Determine g*q(a) + 5*h(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 173.03\nAnswer: 51.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1642*c**2 - 3*c - 2. Let a be b(-1). Let g = a + 2494. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/4088)\/(728\/(-980) + 3\/5)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57.1999446 + 57.2. What is c rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7)**27\/(o\/(o*(o**19\/o)\/o)*(o**(2\/9)*o)\/o*o) assuming o is positive.\nAnswer: o**(1843\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from peyepeeejeeyeyyy?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - 73903*n**2 + 10*n**3 - 4*n**3 + 73927*n**2 to s*n**3 + i*n**2 + d*n + v*n**4 + j and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-322)\/(-69)) + (-19)\/(-6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31\/738 + 4\/41. Let o = 215 - 138. Find the common denominator of (-43)\/o - (48\/(-42))\/4 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 30 = 8*v. Suppose 2*o + 2*n = -2*o + 17692, n = v*o - 13269. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45 + -4619?\nAnswer: -4660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(3*sqrt(12) - (sqrt(3) + -2*sqrt(363)) - ((sqrt(363) - 1*sqrt(363)) + -4))**2*5*1.\nAnswer: -22035 - 2160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6100192 divided by -7?\nAnswer: -871456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -778*c**2 + 5398*c - 23. Determine k(7).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 3501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-4\/7)*p*(p\/p**(-4)*p)\/p)\/(p**1)**18 assuming p is positive.\nAnswer: p**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q + 11. Let b(j) = j**2 - 38*j - 61. Let g(i) = -2*b(i) - 11*y(i). Suppose -4*a = 4*t - 16, -2*a - a = -t - 8. Calculate g(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 + q**5 - 3*q**4 + 2*q**5 + 0*q**5 + 0*q**5 + (4*q**2 - 2*q**3 - 4*q**2)*(-3*q**2 + 3*q**2 - 2*q**2) - q + 319 - 332 + 2*q**5 - 3*q**5.\nAnswer: 6*q**5 - q - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6614*l = 6946*l - 10292 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*b = -3933, -v + 0*b - 2*b = 967. Let j = -2327 - v. Round j to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*z - 59903 + 8249 = -545*z + 8036 for z.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 687737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 16*g - 18*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -5*u**4\/8 + 35*u**3\/6 - 15*u**2\/2 + 13. Factor l(c).\nAnswer: -5*c*(c - 6)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*d**4 - d**4 - 2*d**2 - d - d**4 + 2*d**3 + 4*d**2 in the form r*d + x + a*d**2 + y*d**4 + g*d**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*o + 93, -38*h - 83 = -43*h + o. What is the greatest common divisor of h and 1717?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**6\/1080 - l**5\/90 - l**4\/24 + 11*l**3\/3 - 19*l**2. Let v(s) be the first derivative of f(s). Find k, given that v(k) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33095 is divided by 187.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 570.93 - 576. Let w = v + 4.07. Is w less than -86\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - y + 1. Let a(p) = -p**3 + 2*p - 1. Let u(m) = -m + 8. Let d be u(6). Let l = -5 + d. Suppose -3*b - 8 = -b. Give b*f(g) + l*a(g).\nAnswer: -g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90851921*d*g**2 + 5*g**2 + 152377*g + 3 with respect to d.\nAnswer: 90851921*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.6*-0.1842\nAnswer: -0.47892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, u: 3, k: 1, m: 2, x: 1, f: 2}. What is prob of picking 3 i?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -583, -1269, -2151, -3319, -4863, -6873, -9439?\n\"Answer: -15*h**3 - 8*h**2 - 557*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 10*x**2 - 13*x + 13*x.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - 9*z - 5*z**2 + 6*z**2 to q*z**2 + a + d*z and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*w + 2 - 51*w + 38*w)*(w - 2*w + 2*w) as c + u*w**2 + g*w and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6414915 divided by 335.\nAnswer: 19149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Suppose 4*w = l - 1 + 4, 0 = -w - s*l + 17. What is the second biggest value in 0, 9\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**1*i)\/i*i)**42\/(i*i*i*i**(2\/9)*i**(2\/11)\/i))**(-7\/3) assuming i is positive.\nAnswer: i**(-85652\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mth when three letters picked without replacement from {m: 4, t: 1, h: 4, w: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 18 - 3 + 285*g to s + c*g and give c.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, and 1 l when three letters picked without replacement from ddgqlpl?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -272, -351, -560, -965, -1632, -2627?\n\"Answer: -11*b**3 + b**2 - 5*b - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 236?\nAnswer: 236.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 5*c**4\/6 - 31*c**2\/2 - c. Find the first derivative of o(g) wrt g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -4\/34985, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 212. Let b(z) be the second derivative of -z**4\/4 + 2*z - 276. Determine w(b(a)).\nAnswer: 6*a**2 + 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -84. Solve 3*u - 15 = -b*t, -8*u = -6*u - 4*t + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -703*k. Let y(g) = -16*g. Let r(w) = -3*q(w) + 133*y(w). Suppose 0 = j - 3*j - 5*v + 18, 0 = 2*v. Let b(c) = 8*c - j*c - c. What is r(b(m))?\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + -4*((sqrt(704) + 3)*3 - ((5*sqrt(704) + sqrt(704))**2 + -5))*-3.\nAnswer: -303955 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370\/296 - (-19)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 4, t: 6, r: 4, a: 2, w: 2}. What is prob of sequence hr?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 996*v - 11938. Give q(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227 - 219. Let d(l) = l**3 - 5*l**2 + 10*l + 10. What is the hundreds digit of d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 3:30 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*t**2 - 15*t + 50392 wrt t.\nAnswer: 12*t - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 4 - 4)*(4*s + 12*s + 23*s)*(-2 + 2 + 3).\nAnswer: -117*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247115*v + 4752 = 247049*v for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-3)\/(-1))*(-544)\/8976?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = -3*s + 53, 3*s = -2*c + 90. Let p be (-2)\/(-4)*1044\/3. Let k = p + c. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - 77. Solve r + h = -2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/5 + (-64)\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -864*j**3*p**3 - 2*j**2*p**3 - 323*j**2*p**2 wrt j?\nAnswer: -5184*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18050955 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = 4*r, 3*o + 5 = 2369*r - 2364*r. Suppose -5\/3*c + 4\/3*c**3 + 2*c**4 - 2*c**2 + 0 + 1\/3*c**o = 0. What is c?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161888, -161925, -161962?\nAnswer: -161999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471340.\nAnswer: 2, 5, 23567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y + 52. Let o be v(5). Put -9, -1, o in decreasing order.\nAnswer: o, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -93, -106, -83, -12, 119, 322, 609?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431171?\nAnswer: 13, 17, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 840114626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (2 - 0)) + -1. Let q be ((-4)\/3)\/(1\/x). What is the greatest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.52206 milligrams in tonnes?\nAnswer: 0.00000009952206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17847?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**5\/20 + q**3\/3 + 192*q. Let w(f) = -f**3 - 5*f. Calculate -7*h(v) - 3*w(v).\nAnswer: -4*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-2 + 2 + 3)*(14*x**2 + 4*x - 8*x**2 - 2*x) in the form o*x + d + i*x**2 and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/135 and (((-266)\/(-60))\/(-7))\/(2472\/1030).\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/44 and -41\/3036.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q - q + 3*q + q**2.\nAnswer: q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = -6. Let y be 10 + -2 + (t - -6). Let w = 21 - y. What is the remainder when 28 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60.3 + 10.3. Let o = 93.1 + -45.1. Let m = w + o. Which is the closest to -1? (a) -4 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1261 + 1275. Solve -16*a + 8 = -w*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/1051953 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 9265*q**2 + 388930*q - 398200.\nAnswer: 5*(q - 1)*(q + 44)*(q + 1810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*l + 5*g + 14, -2*g + 4 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1 - 18\/21). Let w(x) = 9*x**3 + 7*x**2 - 9*x - 7. Let q(d) = -5*d**3 - 4*d**2 + 5*d + 4. Give t*q(r) + 4*w(r).\nAnswer: r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 15 = 0, 0*w + 2*b + 82 = 2*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1 - -4)\/1. Suppose -1 = 3*s - 0*b - b, -5*s = b - 1. Suppose -13 = 2*n - o*t, 3*n = -s*n - t - 3. What is the nearest to 1 in -0.3, n, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b - 146e?\nAnswer: -13d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7353212395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29157 and 198.\nAnswer: 1924362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhh when three letters picked without replacement from hhhhhhhhzhzhh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -9402*f**2. Let w(q) = -4*q**2. What is s(w(b))?\nAnswer: -150432*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d**2 - d**2 + d**2)*(-9*d**3 + 2*d**3 + d**3) + (12*d + 2*d - 8*d)*(2*d**2 - 2*d**2 - d**4) - 3*d**3 + 3*d**3 + 2*d**5.\nAnswer: -10*d**5 + 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4313 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 6*c + 4 + c**4 - 1 - 11*c**3 + 0*c**3 - 5 to the form f*c**3 + i*c + k*c**2 + m*c**4 + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2165628320.\nAnswer: 2, 5, 1061, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 2\/33, 0.5.\nAnswer: -59, 2\/33, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.411\nAnswer: 0.1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkek when four letters picked without replacement from {k: 4, e: 14}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*t**3 + 3*t**3 + 4924*t**4 - 4152*t**4 - 1154*t + 3*t**3 wrt t.\nAnswer: 9264*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8383.0554 minutes to days.\nAnswer: 5.82156625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*w + 23, -2*w + p - 17 = -4*w. Suppose 0 = w*j - 24*j + 3679. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 210 - 51 = 0. Let r(u) = -623*u**2 + c*u**2 + 285*u**2. Let i(n) = 5*n. Calculate i(r(d)).\nAnswer: -385*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58190 or -58218?\nAnswer: -58190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10309 and 366.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65555397239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = w + 6*a - 22, 5*w - 22 = 2*a. Suppose -206 = -w*j + 154. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 51 = 2*h + 36, -5*h + 12 = -s. Put -8, s, -2, -16 in decreasing order.\nAnswer: s, -2, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -135426?\nAnswer: -135417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -205461.7 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20291.5 - 20291. What is the third smallest value in b, 313, -3?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 45. Let k = i - -56. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.614982572 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b + 2*z - 759 = -633, b - 5*z = 29 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.006, 1, -0.5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2)*21\/2. Let t = 37 + m. Let y = t + 6. Calculate the highest common divisor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x + 111. Let g be a(26). Suppose 492 = g*j - 3*j. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + 6\/24. Let c = 21.4 + -21.9. Let l = -6 + 3. What is the nearest to l in x, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86706825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*j**2 - d*j - 63*j**3 + j + 9 wrt j?\nAnswer: 4*d - 378*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 176*a + 705. Let m be h(-4). Sort m, -5, 1\/2, 0.3.\nAnswer: -5, 0.3, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229068 and 5670?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 0.1, 2\/11, 1, 0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 8) + 9 + (7 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(99)*-1*4)\/(6*-4*sqrt(1296)).\nAnswer: -sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.75 - -3.22. Let n = -40.5368 - y. Let b = n + -2. What is b rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 8*h - 12. Let r = 603 - 611. What is l(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2. Let k(m) = -94*m - 33. Give k(f(r)).\nAnswer: -188*r**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v - 3. Let f be a(-6). Let c be (f\/(-12) + 2)\/(-1). Suppose -3*m = 9, h - 6*h - 2*m = 6. Are h and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8*m = -201. Let q = -65 - m. Let t(b) = b**2 - 7*b + 7. Let p be t(6). Sort q, p, 3.\nAnswer: p, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73333125.\nAnswer: 3, 5, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33, 3, -6, 0.4?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5532336 and 35268642.\nAnswer: 282149136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 1.9. Sort 5, -2\/3, 0.3, j in decreasing order.\nAnswer: 5, 0.3, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/70 and -47\/12684030?\nAnswer: 88788210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p. Let h(l) = -14*l - 1. Let m(i) = -11*b(i) + 4*h(i). Let f(s) = -2*s - 5. Let w be 5\/((-70)\/(-63))*6\/(-9). Determine w*m(r) + 2*f(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose -o - 2*o = d - 19, -17 = -z*o - 3*d. Calculate the remainder when 31 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 826 + -558. Suppose 869 = 3*c - d. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 30, -5, 43, -1.\nAnswer: -5, -1, 5, 30, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/3 + 8*y**3\/3 + y**2\/3 - 8*y\/3 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 547074, 547072, 547062, 547038, 546994, 546924, 546822, 546682?\n\"Answer: -j**3 + 2*j**2 - j + 547074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*f = 5*g + 15, 15 = 5*g + 2*f. Let w = g - 14. Let m = w + 14. Solve m*l = -2 - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53.58 - -54. Let z = 0.06 - y. Let a = z - -0.66. What is the closest to 2 in 6, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 30, 0, -2 in decreasing order.\nAnswer: 30, 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 48813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 5863?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - k - 4 + (3 - 2*k - 3)*(1 + 1 - 3) - 3*k + 0*k + 5*k + 26 + k - 21 - 22.\nAnswer: 4*k - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1)*(0 + 2 + 1)*(-8*k + 13*k**2 + 8*k).\nAnswer: 156*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:36 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5415 divided by 15?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*h**3\/11 - 888*h**2\/11 + 54*h\/11.\nAnswer: 2*h*(h - 9)*(49*h - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 21. Suppose -f*n - 133 = -12*n. What is the remainder when n is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1154, 1155, 1156, 1157?\n\"Answer: u + 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*a - 2028 = 3366. Solve a = -12*z + 58 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 235\nAnswer: -4\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 51. Suppose 20 = q + o*q. What is the greatest common factor of q and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/6 + 15*n**2 + 2*n. Suppose -76*y - 325 = -9369. What is the remainder when y is divided by u(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -400*h**3 - 509*h**2.\nAnswer: -2400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87345 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*(-32)\/552. Let r = -1.2 + 1. Let z = -77 - -76.5. What is the biggest value in z, 4, r, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 2. Is -0.1 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -869*a + 871*a = -2*n + 1422, 3*n + 2865 = 4*a. What is the least common multiple of a and 378?\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:48 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/(-21) + 26989\/(-591).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 59*q**3 - 74*q**2 + 73*q**2 - 18*q**3.\nAnswer: -77*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 195.\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 27. Suppose -q = -2*v - 2*v. Solve -5*n = v*i + 17 + 9, -4*i - 18 = n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881.64 minus -14?\nAnswer: 895.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 6*m - 5*m = 10, -r - 3*m - 18 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {z: 1, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 20 = -5*x, -x - 2*y = -4*y - 4. Let s be (5\/(-15))\/((-1)\/15). Solve -5*f = s*b - 4*f + 9, -2*b = x*f + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073101 rounded to three dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981252 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4. Suppose q - 3 - o = 0. Let l = -2 + q. Solve 2*i = l*u + 10, 5*i - 4*i + 3*u = 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 292 = q + 167, -3*s = 3*q - 348. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l**2 + 9*l - 4. Let a be j(5). Solve -x + a = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 7*a - 12. Give n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*q = 4, -5*s + 2*q + 0*q = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6796720 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = o + 5*m - 10*m, -4*o - 4*m + 96 = 0. Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/28*-6 - (-2352)\/4116. Solve 1 = s - 2*q, -7*q + 8*q - y = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83901659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1913, 3?\nAnswer: 1913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7)\/c)\/((c*c*c**7\/c*c)\/c)*(c*c*(c*c**(-1)\/c)\/c*c)**(-2\/101)*(c**(-2))**(1\/4)*c**(-8)*c\/(c\/((c**(-5)*c*c)\/c)) assuming c is positive.\nAnswer: c**(-5559\/202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1325 and 8204665.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*y + 54, -3*p + 0*y = -y - 77. Suppose p*g = 6*g. Solve g = 2*l + l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-27)*x\/x**(-2\/27)*(x*x\/(x*(x**3\/x)\/x*x*x))\/x assuming x is positive.\nAnswer: x**(-781\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 104 in -73, -204, -0.1, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -383*l**3 + 0*l - 206315*l**2 + 0*l - 5*l**4 + 209398*l**2 wrt l.\nAnswer: -120*l - 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-4)*(-400)\/(-2600)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**2 + x**2 + 2*x**2)*(-49 - 70 + 63).\nAnswer: 224*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from twxlt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -5 - 4 - 12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1698bb4 + -1?\nAnswer: -1698bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 538428?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.41 - -1.41. Which is the nearest to -9? (a) x (b) 2\/25 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 c, and 1 d when four letters picked without replacement from {c: 1, e: 1, f: 2, h: 6, d: 2, j: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 954294 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-45)*(-490)\/(-588)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/7 - 18\/63. Let h be 1\/2 + (-6)\/i. Solve -h*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g. Let o(y) be the first derivative of -39*y**3 - 5. Determine o(k(n)).\nAnswer: -468*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-2346)\/(-4))\/((-42)\/(-4480)*16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.849333 grams to kilograms.\nAnswer: 0.005849333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4)**(-39)*l**(-14)\/(l*l**10\/l*l) assuming l is positive.\nAnswer: l**(-181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 237016395 a multiple of 2265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4*q = -4*l - 20, 6 = l - q. Let j(a) = a - l + 0 - 1. What is j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360171?\nAnswer: 3, 7, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245\/(-255) - (-4 + 29)\/(-5)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w. Let p = w + -2. What is the smallest common multiple of (1 + p)*-6 + 1 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 175 and 178 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*c - 37, 6*i - 11*i - 4*c - 80 = 0. Let q be i\/(-14)*(-245)\/(-21). Sort q, -8, -1.\nAnswer: -8, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - n - 9, -2 = 2*v - 3*n - 17. Let d(t) = -v*t + 2 - 1 - 3 + 3. Calculate d(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 25*x**2.\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370057 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 110010110110 (base 2) to base 13\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1441673\/42 - -34329. What is the common denominator of 2\/7 - (-517)\/126 and c?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 2, z: 2, x: 2, b: 1, e: 5}. What is prob of picking 1 z, 1 b, and 2 x?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 139*r - 18. Let o be u(8). Suppose b + l = 1252, -4*l = -2*b + 1386 + o. Let x be (-2 - b)*-160*1. Round x to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 10*v**2 - 12*v + 28. Let t = -2 - 2. Let m(k) = -5*k**3 + 19*k**2 + 23*k - 55. Let d(a) = t*m(a) - 9*w(a). Factor d(j).\nAnswer: 2*(j - 1)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000272011409 rounded to seven decimal places?\nAnswer: -0.000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:20 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13\/13*(-18)\/3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 361 = -355. Suppose 7*l - 52 + x = 0. Calculate the greatest common factor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103\/66 + 2\/33. Which is smaller: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**3\/3 - 306*f. Let b(n) be the third derivative of 7*n**5\/30 - n**2. Calculate l(b(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 = 7*a - 5739. Calculate the greatest common divisor of a and 1043.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -53 + 119 - 2*n - n**2 - 7*n - 61. Suppose 13*d - 11*d = 5*a - 21, 5*d = -3*a - 37. Calculate i(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 - 72\/(1584\/2134).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4.3. Let j = -4.3 + z. Put -2\/17, -3, j in decreasing order.\nAnswer: -2\/17, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1205252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/275 in -2\/9, -5\/2, -42, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3174010612 and -0.05?\nAnswer: 3174010611.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 3*h - 4*h)*(21*h**3 + 177*h**3 - 16*h**3).\nAnswer: 364*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v + 5*v - 3*v)*(-2*v**2 + 0*v**2 + 3*v**2) - 101*v + 101*v + 37*v**3)*(-5*v + 1306*v**2 - 1419*v**2 + 5*v).\nAnswer: -4746*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*v*x**2 + 5*g*v*x - 4*g*v + 823*g + 2*v*x**2 - 2*v*x + 9894*x + 1 wrt g.\nAnswer: -2*v*x**2 + 5*v*x - 4*v + 823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1073 + 3499. Let h = f - 48551\/20. Find the common denominator of h and (-4)\/(-10) + (-2)\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224948354?\nAnswer: 2, 112474177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.075 - -0.325. What is the third smallest value in 6, f, 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(44\/144)*-1. Find the common denominator of (-582)\/8*d\/54 and 97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169320?\nAnswer: 2, 3, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -28 - -19) + 30 - -1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-17)*v*v\/(v**18\/v))\/((v**(-1\/7)\/v)\/v**(-2\/7)) assuming v is positive.\nAnswer: v**(-218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1603 - -4?\nAnswer: -1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225694318 and 808216?\nAnswer: 902777272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 16 = -13, 2*q = 5*p - 27. Let y = q + 1033. What are the prime factors of y?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37630*n**3 + 2111*n**2 + n + 2.\nAnswer: 225780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658*q**3 + 856*q**3 - 199*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122.12 - 122. Let a be 74\/20*(2 - 4) + 8. What is the third biggest value in -0.01, a, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 28) + 17 + (6 - (16 + -1)) + 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1123 or 3373\/3?\nAnswer: 1123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 184120.92 to the nearest 1000.\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let g be f(4). Suppose g*m + 78 = 258. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 1, b: 2, v: 2, k: 1}. What is prob of picking 2 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 110 and -171503.\nAnswer: -18865330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/4 - 33272*h**2 - 1099064765*h + 530720427356 = 0.\nAnswer: -66782, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 1\/2*d**2 + 1\/4*d**3 - 1\/2 - 1\/4*d = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -63, -100, -181, -282, -379?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 1086768*k**2 - 11954757*k + 19562418 = 0. What is k?\nAnswer: -362267, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -53*g**2. Let k(u) = 6*u - 1. Let i(n) = 35*n - 7. Let r(z) = -3*i(z) + 21*k(z). What is r(o(q))?\nAnswer: -1113*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 210 = -4*q - w, 0 = 3*q - 2*w - 149. Suppose -5*v - 147 = -3*p, -p - q = -2*p + v. Let k = p + -34. Solve -5*g + k = 0, -y + 3*g = g + 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2631 divide 503468160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7935*x**3 + 84*x**2 - 28407275*x?\nAnswer: 47610*x + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359062?\nAnswer: 2, 679531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from rrrprrprrrpr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 2, f: 1, l: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 1686*q**2 - 9*q**4 - 1680*q**2 + 4*q + 5*q + 2*q**4 + 2 in the form f*q**4 + t*q**3 + y + r*q**2 + l*q and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-648)*598 - -11.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 1176 + 28*s + 1\/6*s**2 = 0.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3\/2)\/r)\/(r**(-29)\/r) assuming r is positive.\nAnswer: r**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24105030 (base 7) to base 12\nAnswer: -8702a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/13))**48\/((j\/(j**(5\/4)\/j))\/(j**(-21)*j)))**32 assuming j is positive.\nAnswer: j**(-5560\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773 divided by 3?\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - 6*k**2 + k**2 - 3 as i*k**2 + m*k + s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:03 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 21*c - 67. What is r(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:07 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466786609.\nAnswer: 557, 838037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 104780001961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.57 - 0.57. Let b = -94 + 93.5. Let a = -15 + 15.1. What is the nearest to a in s, -4, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 4*q - 102. Let d = q - 2. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138043 is divided by 17255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g + 81 = -3*q, -52 = -2*g + q. Suppose g*b - 15*b = 70. Suppose -2*t - 3*t + 5 = 0. Calculate the smallest common multiple of t and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*j = 55*j + 12. Let t = -10 + 11. What is the nearest to t in 1\/6, -2\/3, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33147630 and 33147626 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-8) + 4\/16. Suppose -h*u = 16, 4411 = 5*p + u - 4945. Let j = p + 7228. Round j to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 15*h - 1775. Give q(120).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6053158 divided by -1.\nAnswer: 6053158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/24*2\/(((-16800)\/(-270))\/(-70)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 - 198. Are -60 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2619720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.8 + 1.2. Let z = -9 + y. What is the smallest value in -4, 2, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471*y + 465*y + 30 = 0. Let m = -3 - -4. Let z(t) = m - 1 - t - 4. Calculate z(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 236 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/7 + 10630*t**3\/7 - 89022*t**2 + 612522*t\/7 = 0 for t.\nAnswer: -5373, 0, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/348)\/(2398\/(-132) - -18))\/((-6)\/(-18))?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 47.094. Round i to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25625?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - 101020?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*k + 21, 3*r + k - 14 = 2*k. Suppose -r*t + 44 = t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(0 + 1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143.8 - 142.8. Let y be 12\/(-99)*(3 + (-36)\/8). What is the biggest value in -1\/9, f, -11, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125336007*m**4 + 3562515*m + 11?\nAnswer: -1504032084*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*q - 21, 8*d + 39 = 9*d + 2*q. What is the remainder when 131 is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 6*a**2 - 5*a - 8. Determine s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -77517 (base 8) to base 4\nAnswer: -13331033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 2. Let p = -6 + 10. Let n(q) = q**2 - 3*q + 5. Let f be n(4). Suppose f = -r + p*r. What is y(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:46 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57104, -114162, -171220?\nAnswer: -228278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-15))\/((-2)\/(-4845)*17).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -509*h**2*r**2 - 2*h*r**2 - 4*h + 110*r**2 wrt h.\nAnswer: -1018*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10128, -20224, -30282, -40302, -50284?\nAnswer: -60228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*m**5 + 235\/2*m**3 - 130*m**2 + 160 - 30*m**4 - 120*m.\nAnswer: 5*(m - 4)**3*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22201001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*-1*sqrt(11))**2 + 3 + 5 - ((1*sqrt(88) - sqrt(88))\/sqrt(8) - (sqrt(11) + 1 + sqrt(176)))*-4.\nAnswer: -8*sqrt(11) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = 2*o. Let w be (0*o\/3)\/(-1). Let n = w + 1. Solve 0 = -4*b + n + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4453.88915 + 0.11085. Let r = 4454.139944 - m. Let b = 0.14 - r. Round b to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21 - ((-36634)\/14 - 5). Let k = l + -395. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(3*(sqrt(12) + sqrt(36)\/sqrt(3)))\/(sqrt(12)\/sqrt(3)*-6)*-1)**2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 293 - 444. Let i = 127 + m. What is the units digit of ((-40)\/i)\/(1\/90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 + 40*v + 21*v**2 + 57*v**2 - 44*v.\nAnswer: 68*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1852 - 1831 - (-2703)\/(-129).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from aqqaqqqqqqqqq?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/4 - 309*q**2\/4 + 78*q.\nAnswer: -3*q*(q - 1)*(q + 104)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 + 114. Suppose 5*j = h*r, -5*j + 4*r = 3*r. Solve -5*t + 0 = -2*a - 7, -4*t - 3*a + 24 = j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-19.83.\nAnswer: 59.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) -5 (c) 0.22 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204240 divided by 3404?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 7*o - 111. Calculate the remainder when 48 is divided by q(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 1 - 13, -5*h - 41 = 3*x. Sort x, -1, 0 in decreasing order.\nAnswer: 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 296, 585, 872, 1157?\n\"Answer: -g**2 + 292*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -831.6018026 - -831.6. Round z to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2035 and 18556055?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0665181 + -0.9789.\nAnswer: -0.9123819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -t, 3 - 7 = 4*n. Let b be t*(0 + -1) - (-3 - 0). Suppose 3*k + 2*k = -d + 1752, -k = -b*d + 8630. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 11) in base 8?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -11\/4. Let w = 3 - 2.5. Suppose -r = 2 - 3, 3*r - 5 = n. Which is the second biggest value? (a) m (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjwcjccpjjjjjwjjcw. What is prob of picking 3 c?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -15, -19, -3, 39?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173 - -2425\/14. Let t(v) be the second derivative of 1\/7*v**3 - d*v**2 + 0 - 1\/28*v**4 - 6*v. Solve t(j) = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxoh. What is prob of sequence ohx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 3113504*i + 6227000.\nAnswer: 2*(i + 2)*(i + 1556750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 14*c**2 - 106*c + 11. Calculate i(8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34459 and 1819?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406832348 to the nearest integer?\nAnswer: 20170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 55 - 27 - 28 + 2*b. Let k(i) = 23*i. Calculate k(z(d)).\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70 - 3?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(sqrt(160) + -3*sqrt(160)))\/(sqrt(10)\/(1*(sqrt(18) + sqrt(2)))).\nAnswer: 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 7*l**2 + 2*l + 4. Let h be f(7). What is the greatest common factor of h and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 9. What is q(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/15, -4, -0.5, 0.01, 167\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**19\/((s**(-5\/7)\/s*s)\/s) assuming s is positive.\nAnswer: s**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - 0.05. Let y = -0.46 + b. Sort 2\/7, y, -3 in decreasing order.\nAnswer: 2\/7, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -432, -440, -448, -456?\n\"Answer: -8*v - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1383\/6)\/(2 + 237\/(-6)). Let f = 4\/75 - m. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 441639, 883562, 1325485?\n\"Answer: 441923*s - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(((-16)\/160)\/(2\/5)). Which is the second smallest value? (a) -10 (b) h (c) -0.4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -10840*y - 4. Let d(m) = -65040*m - 25. Let u(w) = 4*d(w) - 25*l(w). Let j be u(-5). What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1229*t + 1928*t + 1000*t in the form h*t + k and give h.\nAnswer: 1699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - -1.9. What is the biggest value in 3, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13632637, 27265277, 40897917, 54530557, 68163197, 81795837?\n\"Answer: 13632640*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(1\/16)*x*x))\/x**(-31)*(x*x**(-21))**(-1\/37) assuming x is positive.\nAnswer: x**(17451\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21655 and 426.\nAnswer: 129930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 18*r**2 + 2*r + 38. Calculate the remainder when w(18) is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*w**3 + 0 + 15*w**3 + 0.\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*b - 28*b - 33*b + 611*b**3.\nAnswer: 611*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = 0, 22 = i + 16*c - 20*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -167, -249, -331, -413, -495?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1175 from -5.9.\nAnswer: -1180.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 11 = -4*v + 3*v, 2*s = -v - 9. Let b be 2\/(0 + s + 1). Let c = 807503 + -807500. Put 4, c, b, 5 in ascending order.\nAnswer: b, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343595.6 millilitres in litres?\nAnswer: 343.5956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/380 and -3\/156260.\nAnswer: 2968940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/105019500 and -119\/330250.\nAnswer: 105019500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 22 = 28. Let t = a + -23. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 + 1 + (3 - 3 + 2)*(-1 - 45 + 2))*(0 + 5 - 3)*(-3*s + 2 - 2) to the form k*s + w and give k.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:39 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272) - sqrt(272))**2 + (2 + sqrt(153))**2.\nAnswer: 12*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.05.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 29*i - 18. Let g(b) = 82*b - 52. Let f(m) = 17*d(m) - 6*g(m). Calculate f(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**3 - 410662*t**2 - 10792073?\nAnswer: -6*t**2 - 821324*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = -3*y, 5*p - 12 = 3*y - 4*y. What is b in 3*b - p*b**3 + 3\/2*b**2 - 3\/2 = 0?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -34*d**4 + 2624*d**3 + 6357*d**2 + 4814*d + 1070. Let w(o) = o**4 - o**3 + 2*o**2 - o. Let n(r) = -l(r) - 9*w(r). Find f, given that n(f) = 0.\nAnswer: -1, -2\/5, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -48*i**2. Let z(d) be the first derivative of -d**2\/2 + 144. What is z(t(a))?\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**3 - z**2 + 21*z + 179. Determine x(-8).\nAnswer: 1995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(136))\/(-4*(sqrt(200) + sqrt(8)) - sqrt(8)).\nAnswer: -4*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:35 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268 - -45. Suppose 3*z = 2*v + 82, z + v - 5 = 24. Calculate the remainder when 0 + n\/(-2) - (-7)\/(-14) is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 7901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 9. Solve 4*a - 10 = g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - -11519. What are the prime factors of p?\nAnswer: 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3219677137 to the power of 1\/2, to the nearest integer?\nAnswer: 56742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.6. Let t = p - -0.5. Let a = -0.1 + t. What is the smallest value in -0.4, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47\/1380138 - 4024246087\/184938492. Let t be (-3)\/3 - (-693)\/67. Let w = h + t. What is the common denominator of w and -89\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2410 - 1719. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lankpyp. What is prob of sequence al?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g. Let b be (-1)\/(-2) - (-12 - (-425)\/50). Let c(l) be the third derivative of 0 - l**2 - 7\/24*l**b + 0*l + 0*l**3. Give n(c(p)).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-35)\/((q\/(q\/(q\/(q*q**(-3)\/q*q))))\/q*q\/(q*q**(-4)*q)) assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -885 take away -0.04899?\nAnswer: -884.95101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 10*p + 16. Let v be u(8). Let a(t) be the second derivative of 0*t**2 + 1\/12*t**3 - 1\/12*t**4 + 1\/40*t**5 + v + t. Let a(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9268 is divided by 341?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**4\/6 + c**3\/2 + 6*c**2. Find the first derivative of y(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3 - 102*c**2 + 2144*c + 63840 = 0.\nAnswer: -60, -19, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/(-42)*6\/(-70). Sort c, 0, 2 in decreasing order.\nAnswer: 2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1536 + 0?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30117 + 16986. Which is greater: x or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2. Let z = -313 + 315. Let w(o) = -22 + 52 + 22*o**z - 30. Determine w(b(d)).\nAnswer: 792*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3624905 + 31.\nAnswer: 30.6375095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177927.7 and -2?\nAnswer: 355855.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*a - z - 24, -5*a - 2*z + 59 = 0. Suppose -a = -2*b - 1. What is the smallest common multiple of 3 + (3 - b) - 0 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**3 + 5*a**2 - 59*a + 10. Let y(h) = -5*h**3 - 2*h**2 + 30*h - 4. Calculate -2*u(g) - 5*y(g).\nAnswer: 7*g**3 - 32*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*((-56)\/64 - -1). What is the nearest to n in 2, -4, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 0*(-4)\/16 - -8. Factor 3*s**3 - d + s**2 + 0*s - 4*s**3 + 4*s + 6.\nAnswer: -(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 14*r - 6. Let v be y(6). Let t = v - -5. Let n = 31 - t. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**8\/2240 - p**7\/5040 - p**6\/240 - p**5\/30 + p**2. Let k(m) be the third derivative of d(m). Is k(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 14 = 3*o. Let r(x) = 778*x - 781*x - 6 + 45. Let u be r(o). Solve -3*i + 2*f = -0 + 12, 4*f = u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let w(u) = 2*u - 2. Let k be w(2). Suppose 2*o - 5*g = 20, 5*o - k*g - 12 = g. Does o = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wooo when four letters picked without replacement from wwowoowooowwo.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 2*r + 2*r)*(0 + 4 + 0)*(6*r + r - 5*r) in the form d*r + s*r**2 + j and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.175 - 97.739. Round v to 1 decimal place.\nAnswer: -73.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 861084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 623 + 95 = -0*w. Which is smaller: -82 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20245 + -20123. Solve a - 10 = 14*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 + 4*n + 2*n - 20 + 10. What is the smallest common multiple of 12 and v(2)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1.3, -2\/11, 2\/7.\nAnswer: -18, -2\/11, 2\/7, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 2143, 5324, 9765, 15460, 22403, 30588?\nAnswer: 40009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - ((-212)\/(-120))\/(6\/15) and 41\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 909532525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -558 + 574. Suppose -v*p + 6 = -22*p. Is 6\/47 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.16, 47, 11\/171?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2748397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 71*r - 3 = 72*r, -3*r + 9 = 3*j. Solve 7*y = -3*s + j*y - 29, 0 = 4*s + 2*y + 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146077, -292185, -438291, -584395, -730497?\nAnswer: -876597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -231791.527 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 + 54\/(-7). What are the prime factors of 4\/y + 41\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 + 32*z**2 + 11*z - 21. Let u be n(-10). Let m = 189 - u. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1566 * -0.005.\nAnswer: 7.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f. Let y(q) = 5*q**2 - 3*q - 3. Let n(l) = 56*l**2 - 34*l - 34. Let w(x) = 6*n(x) - 68*y(x). Determine w(b(u)).\nAnswer: -256*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1133 and 158136?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 167240*o**2 + 1749580288*o - 31438282752.\nAnswer: 4*(o - 20896)**2*(o - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 23) + 19 + (2 - 0 - -3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -2.53, -3?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4))**(5\/2)\/(i\/((i\/i**(-2\/27))\/i)*i*i**(-13)))**(-1\/49) assuming i is positive.\nAnswer: i**(-29\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5338*y. Let d(n) = -1286*n**2 - n. Determine p(d(j)).\nAnswer: 6864668*j**2 + 5338*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*p + 20, 6*d + p - 5 = d. Let y = 1 + 3. Solve -y*l + 5*l + 4*w - 9 = d, 4*w = 3*l - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1485879*z**2. Let u(f) = 2*f. Calculate l(u(o)).\nAnswer: 5943516*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {n: 4, d: 1, b: 2, t: 3, e: 6}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 6*i - 38. Suppose 0 = -5*w + 58 - 3. What is the remainder when 203 is divided by l(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4757273817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5485*q**3 + 7776*q**3 + 13264*q**3 + 4992*q**3.\nAnswer: 31517*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1509 - 1505. Suppose 0 = 2*b + x - 8, -4*x = b - 21 + 3. Solve -3*a = -j + z*j, 0 = 5*j + b*a + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**3\/2 + x**2\/2 - 4*x. Suppose 7*d = 3*d - 20. Let a(y) = y. Let w(c) = d*a(c) + 2*l(c). Calculate w(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 35. Let h be f(0). Let d = 21 + h. Let o = -2 + 9. Calculate the greatest common factor of o and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1118 + -774. Suppose -3*g + 4*h - 1 - 3 = 0, g - 5*h + 5 = 0. Suppose g = -i + 2, -4*n - 5*i - 126 + o = 0. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56.54 - -56.64. What is the closest to -10 in a, 2\/25, 2\/5, 0.2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 21*h + 30 = 24*h, -o - 22 = -5*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 933 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -5, -2.4 in decreasing order.\nAnswer: -4\/3, -2.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 b, and 1 y when four letters picked without replacement from lrrsysryyyrybycccc?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 192 = 12*w. What is the greatest common factor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301 divided by -1722?\nAnswer: -3301\/1722","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -75005 divided by -15001?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52494.23 millilitres in litres?\nAnswer: 52.49423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.16 (b) 0 (c) 0.3 (d) 5\/3 (e) 1\/5 (f) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-9 - -14 - 44) - (10 - 1 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 2007659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9049.3739 - 9050. What is i rounded to two dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/12)\/(9\/24). Let f be ((-9)\/y)\/((-2)\/8). Suppose -4*i + 14 - f = 0. Solve 4*c - 6 = -2*z, -i*z = -8 + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:37 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28762898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 51 and 2231.\nAnswer: 2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 35\/288 (c) -2\/7 (d) -4 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 953*c**3 - 959*c**3 - c**4 - c**4 - 2 + 5*c**2 as g + j*c**4 + v*c**3 + o*c + z*c**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 8981042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0194292139 to three dps.\nAnswer: -1.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100110110110?\nAnswer: -100110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4705.\nAnswer: 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 + -1 - (-5 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 - 2972 = -2*q - p, -3*q + 5584 = 5*p. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 484699.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -25\/3?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1988459583 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12949865*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4775 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 494 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, e: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/56)\/2*308\/(-352)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5, -0.4, 163415\/3, -1\/4 in descending order.\nAnswer: 163415\/3, 5, -1\/4, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4753370 rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377 - 368. Let o(f) = -1. Let k(j) = 2*j + 7. Let s(n) = 2*k(n) + 10*o(n). Let u be s(3). Solve 5*c - u - w = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:50 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209942, 209927, 209912?\nAnswer: 209897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/18 + 1\/2. Let x(t) be the second derivative of s*t**3 + 0 + 0*t**2 - 1\/54*t**4 - 6*t. Determine z so that x(z) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/14)\/(6\/14). Let d = 3.4 - 3. Let j be (17\/((-595)\/14))\/(-8 + 658\/70). Which is the smallest value? (a) d (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -30095*v**2 + 9*v + 20. Let f be x(-5). What is f rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1926*p + 55. What are the prime factors of h(-6)?\nAnswer: 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -2*v**3 - 21*v**2\/2 + v. Let g(b) = -3*b - 5. Let n(w) = 21*g(w) - 5*y(w). Let m(a) = -2*a**2. Calculate n(m(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/28*15\/6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/7 + 3\/14. Let k(i) = -i**3 + 53*i**2 + 561*i + 32. Let t be k(-9). Let f be (-54)\/21 + (-24)\/(-42). Put f, t, s, 0.5 in ascending order.\nAnswer: f, s, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 5*q**2 - 4*q - 2. Suppose 0 = -2*z - 3*z + z. Let t(n) = 2*n - 8. Let b be t(4). Suppose z*y + 3*y - 12 = b. Give j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 40 = -5*x, w + 2437 - 1215 = 2*x + 2*x + 1220 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32526 and 5650398?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 269\/4 (c) 0.4 (d) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27721.05um?\nAnswer: 2.772105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - -29.5. Let r = -26.87 + s. Let w(p) = p**3 - 71*p**2 + 202*p + 3. Let j be w(3). What is the closest to -0.2 in r, 0.2, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l**3 - 95*l**3 + 33*l**3)*(-1 + 3 + 0)*(-4*l - 2*l + 4*l)*(2 - 1 - 3).\nAnswer: -400*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2481.831 + 2479. What is p rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 88 + 5*b - 88 to the form c + k*b and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*a + 2, -5*v + 3*a + 3 = -19. Let i(k) = 4*k - 1. Is 5 a factor of i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c (base 14) in base 7?\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 1, y: 4, p: 1, f: 1}. Give prob of sequence fy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 2, y: 1, g: 3, k: 3}. What is prob of sequence ggyk?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Let v = 14 + -9. Factor -z*n**5 - 3*n**4 - 3*n**4 + 0*n**v + 4*n**4.\nAnswer: -2*n**4*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7481219199?\nAnswer: 3, 9281, 268693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1238*m - 201. Is l(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/10)\/(b\/(b\/(b*(b*b\/b**(-3))\/b*b)*b)))\/(((b\/b**(-2))\/b)\/b)**31 assuming b is positive.\nAnswer: b**(-361\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 37*j + 107. Let y = -755 + 770. Let o be w(y). Which is smaller: 29\/19 or o?\nAnswer: 29\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73031 is divided by 802.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -5*c**4 + 32*c**3\/3 - 2*c**2 - 8*c - 1. Find d, given that f(d) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**6 + 6*m**5 + 7*m**2 + 6. Let j(o) = 10*o**6 - 11*o**5 - 14*o**2 - 11. Let i(x) = 6*j(x) + 11*k(x). What is the third derivative of i(r) wrt r?\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*q, 2*o - 527 + 525 = -2*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*b - 144*b - 17 + 18.\nAnswer: -361*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110001 (base 2) in base 5?\nAnswer: -10224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5923 < -5126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 352.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -92.49. Let n = 0.61 + i. Suppose 0*x = 4*x - 16. What is the closest to -0.2 in n, x, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11*p - 25. Is 4 a factor of j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*f**5 - 24*f**5 + 14*f**5 + (-2 + 2 + 9)*(-12*f**5 + 8*f**5 + 7*f**5).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17995086?\nAnswer: 2, 3, 999727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1795 is divided by 859.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**5\/2 - 75*c**4\/2 + 312*c**3 - 996*c**2 + 1320*c - 600 = 0.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - -10)\/(0 + 2). Suppose -9*s + 2*s + 21 = c. Suppose 0 = 5*q - 5*h - 63 - 17, -s = 2*q + 5*h. What is the greatest common divisor of q and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24599744839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 - 60 + 38)*(-3*c**3 - c**4 + 3*c**3).\nAnswer: 152*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*u + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/(n\/(n\/n**(-1\/3))))\/(n\/(n\/(n\/(n\/n**(2\/5)))*n*n*n*n))**47 assuming n is positive.\nAnswer: n**(2573\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -52, -57, -60, -61, -60, -57?\n\"Answer: a**2 - 8*a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60762 is divided by 489?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543484?\nAnswer: 2, 83, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 7*h + 33, -h - 1 = -o - 2*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.79 + 0.21. Let z = 8.4 - a. Let p be -6 - (28\/(-16) + -5). Which is bigger: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 3488717084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 7*x - 5. Let w(v) = v**2 - 4*v + 2. What is -2*k(z) - 5*w(z)?\nAnswer: -z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8618731 is divided by 921?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6938163829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -1)*(3 + -2). Let n(b) = -b - 2*b**2 + b**2 + 129 - 124 - b**3. Determine n(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -2\/9 (c) -0.7 (d) -412 (e) 5 (f) 21 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 8*u + 14. Let t = 58 + -65. Let w be a(t). Factor s**2 + 5*s**2 + 18*s - w - 3*s**2 + 34.\nAnswer: 3*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*i**5 + 2*f*i**4 + 2*f - 37*i**3 + 641*i wrt i?\nAnswer: -20*f*i**3 + 24*f*i**2 - 222*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23929990.\nAnswer: 2, 5, 7, 103, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 614*d**2 - 2*d + 1014 wrt d.\nAnswer: 1228*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 31*f - 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230210 (base 5) to base 3.\nAnswer: 102012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11*5.6046\nAnswer: 61.6506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 14*x + 7. Let k be q(14). Solve 2*y - 3 = k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 42, 85, 144?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 682494 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*o - 7, 3*o + o - 8 = -2*t. Put -1, 3, t, 6 in ascending order.\nAnswer: -1, t, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 3*f**2 + 3*f + 1. Let s be k(-5). What is the tens digit of (-3 + s)\/3 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**1))**6*(s*(s**(-7)\/s*s)\/s)\/(s**(-3\/5)\/s) assuming s is positive.\nAnswer: s**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274289 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**6\/180 - c**5\/90 - c**4\/18 + 13*c**2\/2 + 37*c. Let i(y) be the first derivative of f(y). Factor i(g).\nAnswer: 2*g*(g - 2)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1840 and 282670.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 2, 0.5, 0.3, -0.32?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68852618.\nAnswer: 2, 17, 19, 53, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1\/l**(2\/11)*(l**3*l)\/l*(l\/((l**(-8)*l*l)\/l))\/l assuming l is positive.\nAnswer: l**(119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 511 divided by 40.\nAnswer: 511\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4627 = 4*v, 4*f + 2*v = 11637 + 6925. Is f a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 179906, 179908, 179910, 179912?\n\"Answer: 2*d + 179904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901 + 137 = -107*w - 2777 + 605 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 15*p**2 - p**5 + 15*p**2)*(0 - 5 + 3) - 2*p**5 + 4*p**5 - p**5.\nAnswer: 3*p**5 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 5*d + 25 - 34, -4*g + 2*d = -6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -630, -5087, -17186, -40749, -79598?\n\"Answer: -637*x**3 + x**2 - x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 435252911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1414*u - 290*u + 35179 = -10829 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/410 and -145\/246.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 1. Let b(y) = 10*y - 3. Let i(p) = -25*p + 146. Let m be i(6). Determine m*r(d) - b(d).\nAnswer: -6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.708 + -4.694. Let q = 162 - 161.843. Let n = q + p. What is n rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/19)\/w)**19\/(w*w**19*w*w*w*w*w**(2\/5)))**(1\/48) assuming w is positive.\nAnswer: w**(-227\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5700 divided by -60\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29566176 a multiple of 786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -487 divided by 6.\nAnswer: -487\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -166 (base 13) to base 14\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -87. Let h = y + 69. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2)*m*(m**(1\/18)*m)\/m)**29)**(3\/47) assuming m is positive.\nAnswer: m**(667\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*o - 5 = -2*m, o + 5 = -3*m. Suppose 20*a - 15*a + 105 = 0. Let w = m - a. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23889, -47689, -71489, -95289?\nAnswer: -119089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988211 bigger than 3988209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.3 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/5 + -12 - (-979 - -931)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*f*q**3*y - 1767*f*q**3 - 5*f*q*y + 32*f*y + 2*q**2*y - 6*q**2 - 37*y wrt q?\nAnswer: -120*f*y - 10602*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-100) + 56658\/525. What is the highest common factor of 81 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 8*a**2 - 8*a + 4. Let v be r(-7). Let n = v + -103. Calculate the remainder when -3*(-4)\/n*38\/2 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-2\/13))\/r)\/(r**(-1\/24)\/r*r))\/(r**(-2)\/(r\/r**(-20))))**49 assuming r is positive.\nAnswer: r**(354613\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 440*b**3*i*q**4 + 7*b**3*q - 3*b**2*i*q**2 - 82*i*q**4 - 3*i*q + q**2 + 24 wrt q.\nAnswer: 10560*b**3*i*q - 1968*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-9 + 1 + 8 + -6 + 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8973 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -802, -2516, -5380, -9400, -14582, -20932, -28456, -37160?\nAnswer: -47050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 540 - 830. Let l = a - -645. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*v = 44. What is the highest common factor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 35. Suppose v*d = 3*z - d - 3, 0 = -2*d + 8. Solve -5*n - z*c = 20, -11 = 4*n - 2*n + 3*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85200 divided by 21300.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -35\/11, -2 in ascending order.\nAnswer: -35\/11, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 5, 113, 66?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503 - 512 - 76*c + 1015.\nAnswer: -76*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135 a factor of 1278334297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27199835 is divided by 119.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {b: 12, u: 3, z: 3, i: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -55 + 9 + -31?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 510 = 4*f, -5*o - 3*f = -8*f - 510. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 + 2083*v + 17940. What is n(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 512340202?\nAnswer: 512340204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16150485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 24 - 48 + s + 21. Let l(r) = -3*r + 8. Give -17*h(v) - 6*l(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1016)\/100*(161\/252 - (-8)\/(-16)) and 49\/297?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)*t)**36\/(t*t\/(t*t**(1\/7)*t)*t*t**8*t) assuming t is positive.\nAnswer: t**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 261 = 6*i. Suppose 2*t - i = 3*t. Let w be t\/(-12) + (-1)\/4. What is the greatest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12431*k*m**5 - 55415*k*m**4 + 1009*k*m**2 + 2*k + 73141*m**2 wrt m?\nAnswer: -745860*k*m**2 - 1329960*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -259.51 and -0.003.\nAnswer: 0.77853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {i: 1, t: 2, w: 2, g: 2, e: 5, q: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 35 = -2*i + 7, 0 = -4*i + d + 84. Let l(n) = -i + 4*n + 39 - 18. Let k(c) = -2*c. Determine l(k(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474167 and 1141.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 75*g**2 + 2*g + 7. Let f(z) = 77*z**2 + 2*z + 6. Determine -3*a(h) + 4*f(h).\nAnswer: 83*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - 7*r - 2*r**2 + 2*r**2. Let n(y) be the second derivative of -y**4\/6 - 2*y - 10591. Calculate k(n(m)).\nAnswer: -8*m**4 + 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-3 + sqrt(1700)*-1 - (2 + sqrt(1700))*-6) + 2)*-5*-3)**2.\nAnswer: 990000*sqrt(17) + 38358900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.215 - -0.1143. What is g rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b + 166 = 5*g + 62, 0 = -5*b + 2*g + 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/1 + (24 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 135823447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 5591*a - 407. Let q(t) = -t**2. What is y(q(r))?\nAnswer: r**4 + 5591*r**2 - 407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249 is divided by 404.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a - 5. Let o = 16 + -37. Let h(m) = -36*m + 21. Let l(i) = o*n(i) - 5*h(i). Let q(u) be the third derivative of -u**5\/30 + u**2. Calculate l(q(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 577 divide 801453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395.073 litres in millilitres?\nAnswer: 2395073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60.19 and -0.1?\nAnswer: 6.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 6*a + 2*a)*(199*a + 2194*a - 1252*a + 2950*a).\nAnswer: -16364*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 547 and 51?\nAnswer: 27897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 59.93 and 0.06.\nAnswer: 59.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/180 - (-22)\/110) + (-4)\/18?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/42*3\/((-3)\/1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 986 - 686. Let m = -180 + i. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149118951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + 110?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:11 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 4*i**2 + 3*i + 15. Let o be u(-6). Suppose 7*w + 20 = o. What is the second derivative of -w*v - 71*v**3 + 38*v**3 + 32*v**3 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + z + 14, -3*b + 17*z = 14*z - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, -68, -0.4, -11, 0, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/25 - (-8)\/5. Let w be (1\/c)\/(6\/900). Suppose 5*j - 2*x = x + w, -4*j = 5*x - 23. Solve -3*m = -5*y - j, -4*m + 2*m = -y - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 213*y**3 - 113*y**3 - 117*y**3 - 2 - 2*y. Let q(u) = 69*u**3 + 9*u + 9. What is -18*f(c) - 4*q(c)?\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2413*d + 64636 = -1592*d + 2004*d + 25086 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 2250892163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(((-2)\/13)\/2). Suppose n = k + 3*l, 3*k - 4*l + 28 - 119 = 0. Calculate the remainder when k is divided by (-1)\/(-3) - (-38)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5446 + -5314. What is the highest common factor of j and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/17 (b) 5 (c) -0.2 (d) -16 (e) 41 (f) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 766557361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100662 or -100651?\nAnswer: -100662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1653630?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*v - 1669*v + 586*v - 1628*v to the form c*v + f and give c.\nAnswer: -2543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 - 86. Let p(d) = d - 7. Let z be p(6). Let a be -6 - -1 - (-2 - z). What is the closest to v in -0.4, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10 - 3*f + 6 - 7. Let l be m(-8). Suppose w - 9 = l. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*l - 1378045 + 455101 = 0. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4636*a - 101926. Give l(-22).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/3 - 22363*d**4\/6 + 882803*d**3\/3 - 4307807*d**2\/6 + 427427*d = 0 for d.\nAnswer: 0, 1, 3\/2, 77, 11102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 12. Let m be n(-4). Suppose 7 = 3*s - 2. Suppose -s*t = -m*t - 15. Solve 0 = -4*l + t*c + 19, 8 = -4*l + c - 5*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 40*o + 1194 = 37*o, 5*o - 3568 = -3*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -18 (c) 5 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04163 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 922699617812?\nAnswer: 922699617816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 4.2. Which is the fourth biggest value? (a) -4\/7 (b) -6 (c) -0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 times -1413\nAnswer: 456399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8 - 7 - 194)\/(2\/(-208))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 687 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9899729 by 9.\nAnswer: -9899729\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 1. Suppose 51*k + 6 = 49*k. Let x be 494\/6 - (-1)\/k. Let n = x + -83. Let j(u) = -u - 1. Calculate n*d(i) + 2*j(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 29*q**2 - 65*q - 336. Let z be j(26). Solve -2*d = 3*i - 10, 0 - z = 2*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 1\/4 (c) 2\/9 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14061 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 2*o**2 + 6*o + 2. Suppose 0 = 7*a + 34 + 57. Let b = a - -7. What are the prime factors of i(b)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 359864\/183 - 5900\/3. Let x be 11\/7 + (-8)\/14. Is x > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 89 + 71 = 0. What is the smallest common multiple of o and 141\/12 + 2\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -5*g**4\/4 + g**3\/2 - 11*g**2. Let b be f(-7). Let l = b + -129. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103102 is divided by 25775.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*3\/6*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/66 - 9\/22. Which is the nearest to m? (a) 1\/4 (b) 1\/12 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2 + t + 2. Let v be p(-1). Let i be (-162)\/108*5\/35*-2. Which is the fourth smallest value? (a) 1\/18 (b) 3\/2 (c) v (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + sqrt(13) + -1 - (sqrt(104) - (sqrt(104) - (sqrt(104) + sqrt(104) + 2*sqrt(104))))\/sqrt(8)))**2 + 4.\nAnswer: 1296*sqrt(13) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62*7\/(-2121)*(-10 + 9) and 31\/33.\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + 1896 - 112*u - 3784 + 1890 + (-3*u + 3*u - 2*u + 2*u**2)*(-4*u**2 + u**2 + 2*u**2).\nAnswer: -4*u**4 + 2*u**3 - 112*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 10:05 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56485*c**4*g*x - 2*c**4*g - 44*c**3*g + 1449*c**2*g*x + 7*c**2*g + 2*c**2*x - 540*g*x wrt c?\nAnswer: 1355640*c*g*x - 48*c*g - 264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -414762 + 632691. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69316007 to the power of 1\/2, to the nearest integer?\nAnswer: 8326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 993303 and 2.\nAnswer: 1986606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98950*9*(-12)\/(-540) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 26841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8224.479t in kilograms?\nAnswer: 8224479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 374121 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 523, 520, 515, 508, 499?\n\"Answer: -k**2 + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -74599.33 times -0.5\nAnswer: 37299.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(-6*(-4*4*sqrt(17)*-1 + sqrt(2057) + sqrt(2057)*1 + -5))**2.\nAnswer: -205200*sqrt(17) + 13269420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-1 + 1 - 3*i)*(8*i - i - i).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.135189 millilitres in litres?\nAnswer: 0.001135189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 6 - (-135 + 134)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -294, -297, -302, -309?\n\"Answer: -g**2 - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 24 - 18. Suppose 0 = t - q. What is the greatest common divisor of t and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + f**2 - 3*f**2)*(61*f**2 + 81*f**2 - 429*f**2) as v*f**4 + a*f**3 + z*f**2 + q*f + c and give v.\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 21. Let k = u - -10. What is the least common multiple of k and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1\/34, 226?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340.30041 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 14*h + 158 - 208 = 0, -4*h = -5*z + 30 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 1 = -2*j - j, -3*j = b + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 divided by 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 58 = c, 2*c = v - 4*v + 101. Which is smaller: 54 or c?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 11*w**2 + w - 4. Let u be f(-10). Let t = u - 55. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j - 2*j + 6*j - 17*j - j**2 to the form z + f*j + d*j**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1206*f - 25. Let m(c) = -403*c - 7. What is 2*l(i) - 7*m(i)?\nAnswer: 409*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 88*p - 126. Let q(w) = 6*w**2 + 108*w - 127. Let c(k) = 5*h(k) - 4*q(k). What is c(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (363 + 162 + 387)*((-1 + 1 - i**4)*(-i + 2*i - 3*i) - 42*i - 13*i**5 + 42*i).\nAnswer: -10032*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12057, 25473, 38889, 52305?\n\"Answer: 13416*u - 1359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22408977\/29 or 772723?\nAnswer: 22408977\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**3 - 9*k**2 - 10*k + 19. Let o(z) = -4*z**3 + 12*z**2 - 5*z - 16*z**2 + 8 + 1 + 1. Let j(v) = -3*g(v) + 5*o(v). What is j(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36606, -149032, -337270, -601314, -941158, -1356796, -1848222, -2415430?\n\"Answer: d**3 - 37912*d**2 + 1303*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 972*t**3 + 1095*t**2 + 2 wrt t.\nAnswer: 5832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + 1*sqrt(637))*-2)**2 - (-1 + sqrt(208) + 0 - ((1 + sqrt(468))**2 + -4 + sqrt(468))).\nAnswer: 910*sqrt(13) + 10914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028951062 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/154*134\/((-42880)\/140).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/6 + 26\/(-39). Let g(w) be the second derivative of -l*w**2 + 0 + 1\/3*w**4 - 5\/3*w**3 - 3*w. Let u(k) = 3*k**2 - 7*k - 1. Calculate -5*g(o) + 7*u(o).\nAnswer: o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1562886*w. Let t(m) = -2*m**2 - 2. Determine t(x(u)).\nAnswer: -4885225297992*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -255\/3970138 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373187*d - 2746315*d + 1373129*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106401 in -82.4, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3624*w - 119*w**3 + 1206*w + 112*w**3 + 1209*w + 1209*w.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492.76 minus 0.15?\nAnswer: 1492.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k + 25. Let z be g(-2). Suppose 91 = 2*l - n, -z*l + n + 3*n + 139 = 0. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 7*i + 2. Let n be 75*(5 - (-37)\/(-5)). Let y = n + 185. Calculate v(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 497 - -2309. Calculate the greatest common divisor of h and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1488, 89, 3, -1, -5, -4.\nAnswer: -5, -4, -1, 3, 89, 1488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23\/10 - 24\/5. Which is the closest to 0.1? (a) y (b) 2\/11 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxhyy. Give prob of picking 1 x, 1 y, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 3, f: 4}. What is prob of picking 1 f, 1 q, and 1 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsgs when four letters picked without replacement from {g: 2, s: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 148806 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2)*j\/(j**0\/j))**29)**(4\/11))**(-25) assuming j is positive.\nAnswer: j**(-2900\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in 1.8, 0.3, -2, 0, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5894 - -5?\nAnswer: 5899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c = 1773754 + 3920536. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (3 + 1)) + 4. Let q be -3 + (d - (0 + -3)). Sort 0.1, 2, q in descending order.\nAnswer: 2, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 170262333 and -0.31.\nAnswer: 170262332.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 242 = 2*g + 115, -3*d - 4*g = -209. What is the remainder when d is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 - 7*q + 5. Suppose -509 = 39*x - 353. What is o(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1035)\/(-552))\/(5\/4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13729 + 13729 - 2829*c to the form q + k*c and give k.\nAnswer: -2829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00191356 rounded to five decimal places?\nAnswer: 0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 11*a**2 + 56*a + 444. Calculate m(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 6013 in ascending order.\nAnswer: -3, 2, 6013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2743 rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = -11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 14*r**2 - 203*r + 51. Give n(13).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + -1*(sqrt(102) - (1*sqrt(102) + sqrt(102)) - sqrt(102)))\/(3*sqrt(150)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106025?\nAnswer: 5, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6\/r**4*r**5*r*r**(-2)*r assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 21511?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 8*g = 18. Suppose 2*o + 10 = -g*r, 2*o + 3*o = 0. Calculate the smallest common multiple of (-4)\/(((-2)\/2)\/(r\/(-2))) and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-6)*(-6 + 4 + 5). Suppose -4*q + 14 = 6, -z*q = -4*o + 1818. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from qqfyfyyfffgyf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -41.6. Let w = -11.804 - r. Round w to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309 by -329407.\nAnswer: -309\/329407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + 43. Calculate the highest common factor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -184\/3. Let i = -23\/2 - -12. What is the nearest to i in 2, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*o**4 - 293*o + 207*o + 21*o**2 + 86*o - 1207 wrt o.\nAnswer: -52*o**3 + 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxkyickknxkx. What is prob of sequence cn?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 62, 4, -16, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/(l*(l*l**(-1\/6)*l)\/l))**(-4)*l*l\/(l\/(l**(-6\/5)*l))*l\/l**(1\/3)*((l*l**(-1\/3))\/l*l)**(-2\/19) assuming l is positive.\nAnswer: l**(-932\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3110\/3 + -1036. Factor -x + 4\/3*s - 2\/3*s**2.\nAnswer: -2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 12*f**2 - 19*f + 12. Determine h(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 169\/31 >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-4110965.\nAnswer: 16443860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5674961 = -13*u - 4*a, -44*a + 2182680 = 5*u - 43*a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3591\/3105 - (-4)\/92. Let f = 6.1 - 1.1. Which is the closest to m? (a) -7 (b) f (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 + 109. What is the remainder when s is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1992241\/917 - 1972\/917. Let p be (3 + (-7330)\/20)*6. Let n = p - q. Find the common denominator of 43\/9 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0 - -1) + -1. Let b(d) = 8*d**2 + 2*d + 4. Let l(u) = 0*u + 1 + 8557*u**2 + 0*u - 8556*u**2. Calculate p*b(q) + 4*l(q).\nAnswer: -4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6517 = -298*w + 165*w. Calculate the remainder when 3820 is divided by w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17641 or 17639?\nAnswer: 17641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91140 or -91138?\nAnswer: -91138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 193335899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9 = -3*d + 2, 0 = 3*y + 5*d + 37. Let s = y + 5. What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (91\/14)\/(-13) + (-15)\/(-54). Is -68\/5 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3\/16 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 - -1000111111001001101?\nAnswer: 1000111111001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 2*s - 27. Let m be j(-6). Let u be 11\/(-8) - (-1 - 0). Let o = u - -17\/24. What is the fourth biggest value in -2, o, -4\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.4 (b) 0.078 (c) -6 (d) 47\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1289*w + 1344 = 1345*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 1. Let h(d) = -5*d + 4. Let p = -41 + 38. Calculate p*q(j) - h(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5023322 and 58638?\nAnswer: 15069966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 2\/7, -1\/5, 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}